2026197 items2026.bib
- N. Abapour. Sharper and Closed-Form Attacks on \(\mathsf{SIS}\) When Modulus Is Small. Cryptology ePrint Archive, Paper 2026/1349, 2026.Refined large-norm ISIS attack cost and new ISIS-infinity attack at small modulus.
- S. Agrawal, A. Bagchi, R. Kumar. Algorithms for Sparse LWE and LPN with Small Secrets. Cryptology ePrint Archive, Paper 2026/1550, 2026.Distinguishing algorithms for sparse small-secret LWE and LPN via relaxed SIS.
- S. Agrawal, A. Bagchi, R. Kumar. Attacks on Sparse LWE and Sparse LPN with new Sample-Time tradeoffs. CoRR, 2026.Attacks on sparse LWE and sparse LPN with new sample-time tradeoffs.
- S. Agrawal, A. Bagchi, R. Kumar. Spectral Method attacks Sparse LWE, Sparse LPN and Beyond. Cryptology ePrint Archive, Paper 2026/614, 2026.Spectral distinguishing algorithms for sparse LWE and sparse LPN.
- Akshima, E. Kiltz, A. Nishaburi, S. Nooripoor, E. Wiedijk. Generic Bounds for Multi-Instance Problems: The Strange Case of Inverse Diffie-Hellman. TCC 2026, 2026.Generic-group bounds for multi-instance CDH/IDH problems.
- A. Alfarano, E. Saxena, E. Wenger, F. Charton, K. Lauter. Improving ML Attacks on LWE with Data Repetition and Stepwise Regression. Cryptology ePrint Archive, Paper 2026/612, 2026.Improved ML attacks on sparse-secret LWE via data repetition and stepwise regression.
- E. T. Alnfrawy, H. M. Bahig, H. M. Bahig, H. M. Bahig, H. M. Bahig, R. Elbarougy. Enhanced Integer Factorization Method: Sequential and Parallel Approaches. Symmetry, 2026.Sequential/parallel factoring improvement for moduli with close prime factors.
- I. M. Alseadoon, K. A. M. Fathy, M. A. G. Hazber, Y. Kotb, H. M. Bahig. RSA Cryptanalysis: A Novel Acceleration for Euler-Based Fermat Factorization Algorithm. Contemporary Mathematics, 2026.Faster Euler-based Fermat factorization for close-ish primes.
- Anonymous, C. Ling, F. Mintert. Efficient lattice Hamiltonian encoding for the shortest vector problem. Physical Review Research, 2026.Quantum Hamiltonian encoding exploiting negacyclic symmetry for SVP, lowering resources.
- D. Apon. An Algebraic-Geometry Lower Bound against the ePrint:2026/1747 McEliece Key-Recovery Attack. Cryptology ePrint Archive, Paper 2026/1810, 2026.Lower bound refuting feasibility of claimed McEliece key-recovery attack.
- H. Asanuma, Y. Chen, H. Furue, K. Sakata, T. Takagi. Improved Complexity Estimates for Underdetermined MQ Systems via Generalized Variable Partitioning. Cryptology ePrint Archive, Paper 2026/1054, 2026.Generalized partition algorithm for underdetermined MQ lowering MAYO/QR-UOV/SNOVA estimates.
- H. A. Aswad, C. Pierrot, E. Thomé. High-Order Galois Automorphisms for TNFS Linear Algebra. CRYPTO 2026, 2026.Order-6/12 Galois automorphisms accelerate TNFS linear algebra.
- J. Ausborn. Meta-Evolutionary Discovery of Reusable Factorization Pipelines: Autonomous Parameter Scaling for Semiprime Decomposition via Genetic Programming (The Mathosomes Factory). 2026.Genetic-programming factoring pipelines on toy 36-80-bit semiprimes; weak but genuinely factoring work.
- E. Babayev. Overstretch everything? IACR Communications in Cryptology, 2026.Dense-sublattice overstretched regime analysis for MLWE and NTWE with experiments.
- R. Babbush, A. Zalcman, C. Gidney, M. Broughton, T. Khattar, H. Neven et al. Securing Elliptic Curve Cryptocurrencies against Quantum Vulnerabilities: Resource Estimates and Mitigations. Cryptology ePrint Archive, Paper 2026/625, 2026.New Shor resource estimates for secp256k1 ECDLP plus cryptocurrency implications.
- J. Baena, J. Verbel, L. Villota. The Extended Wedge Attack. Cryptology ePrint Archive, Paper 2026/1830, 2026.Extended wedge attack recovers UOV oil space via polar-form structure.
- H. Bambury, S. Kim, C. Lee, P. Q. Nguyen. Adelic reduction of module lattices. Cryptology ePrint Archive, Paper 2026/2228, 2026.Adelic LLL generalization over number fields; module-SVP to ideal-HSVP reductions.
- Y. Bao, W. Yang, s. wei, G. Long. Research progress on low-resource quantum algorithms for integer factorization. SCIENTIA SINICA Physica, Mechanica & Astronomica, 2026.Review of low-resource quantum factoring algorithms (hybrid lattice/quantum, space-reduced Regev).
- R. Barbulescu, G. Bisson. Regev’s Attack on Hyperelliptic Cryptosystems. Cryptography (MDPI), 2026.Regev/Ekera-Gartner style quantum DLP extended to hyperelliptic Jacobians.
- M. Bardet, A. Lemoine, J. Tillich. An attack on the CFS scheme and on TII McEliece challenges. CRYPTO 2026, 2026.Pfaffian-modeling structural attack on high-rate Goppa codes; breaks CFS and TII challenges.
- J. Baudrin, R. H. Boissier, F. Standaert. On the Concrete Hardness of LWR with a Power of Two Modulus. Cryptology ePrint Archive, Paper 2026/250, 2026.First LWR-specific algebraic attack for power-of-two modulus, improving on Arora-Ge.
- C. Berton, S. Cherif, C. Delaplace. SAT-Based Syndrome Decoding and Low-Weight Codewords. FM (1), 2026.SAT/MaxSAT models for syndrome decoding and low-weight codewords.
- D. Bhati, S. Singh. A new perspective on the decomposition in the. SPACE, 2025.Weak hyperelliptic curves with easy index-calculus decomposition over quadratic extensions.
- L. Bi, Y. Liu, X. Lu, J. Luo, K. Wang. An Improved Hybrid Dual Attack on LWE with Sparse Secrets and its Application to FHE. Cryptology ePrint Archive, Paper 2026/1060, 2026.Improved hybrid dual MITM attack on sparse-secret LWE for FHE parameters.
- J. Bi, S. Luo, C. Lai, B. Zhou, R. Zhang, L. Li et al. Toward Efficient Primal Attacks on Learning With Errors in IoT Environments. IEEE Internet of Things Journal, 2026.Randomized dimension reduction improving primal attack on ternary LWE, incl. hints.
- J. Blanco-Romero, F. A. Mendoza. Variational and Majorization Principles in Lattice Reduction. CoRR, 2026.Theory of lattice reduction via variational/majorization principles; title only.
- M. F. Bollauf, A. Pouly, Y. Shen. Solving SIS in any norm via Gaussian sampling. Cryptology ePrint Archive, Paper 2026/225, 2026.Provable Gaussian-sampling SIS algorithm in any norm; faster than prior for Dilithium.
- X. Bonnetain, M. Duparc, D. Lazzarini, L. Maino, C. Martindale, C. Petit et al. Quantum security analysis of unrestricted isogeny-based group actions. Cryptology ePrint Archive, Paper 2026/2215, 2026.Quantum circuit cost estimates of Kuperberg attack on isogeny group actions.
- M. Boucher, P. Fouque, Y. Shen. Cyclotomic Cosets: Hidden Subgroup and Quantum Sieving Algorithm for Prime-Power Moduli. Cryptology ePrint Archive, Paper 2026/2249, 2026.Quantum sieve for cyclotomic coset problem, EDCP and S|LWE> over prime-power moduli.
- C. Bouillaguet, J. Sauvage. A decrementally-improved algorithm for Boolean MQ. Cryptology ePrint Archive, Paper 2026/1704, 2026.Improved Boolean MQ algorithm; MQOM 3-4 bits below target; Fukuoka challenges solved.
- P. Briaud, A. Lemoine, H. Randriambololona, J. Tillich. A Heuristic Subexponential Attack on the McEliece Cryptosystem. ASIACRYPT 2026, 2026.Subexponential algebraic key recovery on binary Goppa McEliece; breaks challenges.
- M. Bros, T. H. Le, J. Lichtinger, B. Minaud, R. Perlner, D. Smith-Tone et al. Exploiting SNOVA’s Structure in the Wedge Product Attack. ASIACRYPT 2026, 2026.Wedge product attack exploiting SNOVA block-ring structure; breaks 6 parameter sets.
- É. Burle, A. Udovenko. Cross-Paradigm Models of Restricted Syndrome Decoding with Application to CROSS. PQCrypto 2026, 2026.Reduces restricted syndrome decoding to regular SD and CVP; evaluates CROSS.
- M. Cain, Q. Xu, R. King, L. R. B. Picard, H. Levine, M. Endres et al. Shor's algorithm is possible with as few as 10,000 reconfigurable atomic qubits. arXiv, 2026.Quantum resource estimate for Shor on P-256 ECDLP and RSA-2048 with neutral atoms.
- A. Camelin, T. H. Le, B. Minaud, P. Q. Nguyen, F. Tousnakhoff. X24 Down: Cryptanalysis of Hankel-based Multivariate Signatures. Cryptology ePrint Archive, Paper 2026/803, 2026.Polynomial key recovery on X24 Hankel multivariate signature via exterior algebra.
- L. Campa, M. Fumiani, A. Roy. A New Algebraic Algorithm for LWE. CoRR, 2026.New algebraic Groebner-style Search-LWE algorithm with improved complexity.
- J. Cao, R. Chen, H. Jiang, Q. Cheng. Meet-LWE with Hints: Solving Ternary LWE with Information Leakage. ACISP 2026, 2026.Meet-LWE algorithm for ternary LWE given hints/leakage.
- Z. Cao, L. Liu. Optimized LLL Algorithm. Cryptology ePrint Archive, Paper 2026/2361, 2026.Claims optimized LLL variant with O(n^3) complexity; generic lattice reduction.
- R. Cao, B. Wang, J. Gao. Quantum collision search for ternary LWE keys. Theoretical Computer Science, 2026.Quantum collision search for ternary LWE secret keys.
- K. Carrier, V. Hatey, L. Luzzi, J. Tillich. Multilevel Amortized Gaussian Elimination in Information-Set Decoding: Applications to HQC and PCG. Cryptology ePrint Archive, Paper 2026/1498, 2026.Amortized Gaussian elimination in Stern ISD; HQC Category I near 140 bits.
- M. Cartor, R. Cartor, A. Rakotondrafara. Breaking the Spell: Cryptanalysis of VDOO. Cryptology ePrint Archive, Paper 2026/2178, 2026.Corrected MinRank complexity and new hybrid attack show VDOO parameters miss claimed NIST levels.
- M. Cartor, R. Cartor, H. Furue, D. Smith-Tone. Improved Cryptanalysis of HFERP. PKC 2024, 2024.New attack on HFERP combining simple-attack ideas and support minors.
- B. Chambers-Bourgeois. SD-BKZ vs. BKZ: A Reproducible Lattice-Reduction Benchmark via the Li-Nguyen Rankin Profile. Zenodo, 2026.Benchmark of BKZ vs self-dual BKZ quality with new metric.
- S. Chatterjee, B. Biswas. An Adaptive Generic Improvement to Information Set Decoding. Proceedings of the Eleventh International Conference on Mathematics and Computing, 2026.Title: generic improvement to information set decoding.
- Z. Chen, K. Jiang, A. Wang, C. Zhang. A Subexponential Algorithm for Binary LWE with Sublinear Samples. Cryptology ePrint Archive, Paper 2026/2289, 2026.Subexponential distinguisher for binary LWE using only sublinear number of samples.
- C. Chevignard, A. Schrottenloher, Y. Shen. Quantum algorithm for Discrete Gaussian Sampling. Cryptology ePrint Archive, Paper 2026/984, 2026.Quantum discrete Gaussian sampler yielding improved quantum dual attacks and SIS solving.
- C. Chevignard, P. Fouque, A. Schrottenloher. Reducing the Number of Qubits in Quantum Discrete Logarithms on Elliptic Curves. EUROCRYPT 2026, 2026.Shor ECDLP circuit with 3.12n qubits; 1193 qubits for 256-bit curves.
- B. Chi, N. Cho, J. Kim, C. Lee. Asymptotic Analysis of Ternary Sparse LWE. Cryptology ePrint Archive, Paper 2026/630, 2026.Sieving and greedy coordinate-recovery attacks on ternary sparse LWE.
- B. Chnioune, M. Rahmani, A. Nitaj, M. Ziane. A Novel Cryptanalysis of the Cubic Pell RSA Variant. Axioms, 2026.Coppersmith-type attack on cubic Pell RSA variant with shared LSBs.
- B. Chnioune, M. Rahmani, A. Nitaj, M. Ziane. A refined cryptanalytic attack against a generalized cubic Pell RSA scheme. Discret. Math., 2026.Lattice attack on cubic Pell RSA variant beyond N^0.292(n-1) bound.
- B. Chnioune, M. Rahmani, A. Nitaj, M. Ziane. New Cryptanalysis of Two Families of RSA-like Schemes. Axioms, 2026.Coppersmith-style factoring attack on RSA-like variants with shared bits.
- R. Corbeanu, G. Teseleanu. A Review of Lattice Attacks Applied to Two Types of RSA Variants. NuTMiC 2026, 2026.Lattice/Coppersmith methods factoring Gaussian-integer and cubic-Pell RSA variants.
- R. Cramer, D. v. Gent, A. Lesavourey, A. Pellet-Mary. On Module Lattices with Galois-Symmetries: What You See Is Not What You Get. Cryptology ePrint Archive, Paper 2026/1805, 2026.Galois-symmetric module lattices reduce to lower-rank modules over subfields.
- N. Cui. Benchmarking primal lattice-reduction attacks on weakened small-secret LWE instances. DR-NTU (Nanyang Technological University), 2026.Empirical benchmark of primal LLL/BKZ attacks on small-secret LWE.
- G. Cui, J. Li, J. Zhuang. Improved analysis of ideal shortest vector over rational primes in power-of-two cyclotomic fields. IEEE ISIT 2026, 2026.Ideal-SVP analysis for prime ideals in power-of-two cyclotomics; title only.
- G. Cui, J. Li, J. Zhuang. Principal ideal problem and ideal shortest vector over rational primes in power-of-two cyclotomic fields. IEEE ISIT 2026, 2026.Principal ideal problem and ideal-SVP in power-of-two cyclotomics; title only.Same work as dblp:conf-isit-CuiLZ26; counted there, weight 0 here.
- L. D'Achille, A. Esser, N. Kraus. Syndrome Decoding with Hints. Selected Areas in Cryptography (SAC) 2026, 2026.ISD adapted to syndrome decoding with perfect/noisy hints; thresholds for polynomial-time regime.
- Z. Ding, Z. Dai, Y. Zhang, Z. Yan, Y. Chen. Attacking CRT-RSA with Small Exponents via Unravelled Linearization. Cryptology ePrint Archive, Paper 2026/2109, 2026.Coppersmith unravelled-linearization attack on CRT-RSA with small CRT exponents.
- J. Ding, H. Guo, B. Yang. On Memory Effects in PWXL variants. Cryptology ePrint Archive, Paper 2026/1819, 2026.Memory-cost analysis of XL-based UOV attacks; argues parameters secure and proposes perturbations.
- J. Ding, P. Li, S. Tao. Revisiting the Wedge Attack on UOV problem. Cryptology ePrint Archive, Paper 2026/1548, 2026.Multi-homogeneous wedge attack on UOV-type problem, applied to SNOVA.
- R. Ding, X. Gong, H. Jiang, L. Tang. Two-Bit Lifting for Ternary SIS: Polynomial-Time Collision Attacks on LtHash. Cryptology ePrint Archive, Paper 2026/2083, 2026.Improved ternary SIS mod 2^d algorithm giving polynomial collision attacks on LtHash.
- E. Doulgerakis, T. v. Laarhoven. Smooth Sailing through Spherical Shells: Provable Random-Lattice Sieving in Time \(2^{0.292n}\). arXiv, 2026.Provable 2^0.292n sieving for SVP/CVP on random lattices.
- O. Dunkelman, S. Einsele, H. Heum, M. Øygarden, G. Wunder. Reassessing the Security of LPN-C and its HHE-Oriented Variants. Cryptology ePrint Archive, Paper 2026/1130, 2026.Improved LPN and Arora-Ge-style attacks on LPN-C bounded-noise variants.
- M. Ekerå. On the success probability of the quantum algorithm for the short DLP. IACR Communications in Cryptology, 2026.Success probability bound for Ekera-Hastad quantum short-DLP; applies to DH and RSA.
- A. Esser, J. Verbel, R. Villanueva-Polanco. Rank Syndrome Decoding Estimator - An Asymptotic and Concrete Analysis. Cryptology ePrint Archive, Paper 2026/082, 2026.Unified concrete and asymptotic estimator for rank syndrome decoding algorithms; revisits RSD parameters.
- Y. Feng, Y. Gao, J. Liu. Faster SVP in Polynomial Space. Cryptology ePrint Archive, Paper 2026/2084, 2026.Randomized polynomial-space SVP in n^n/4e time, improving Kannan.
- A. Florián-Quitián, V. Gauthier–Umaña, E. Laverde-Becerra, R. Villanueva-Polanco. Guided syndrome decoding under posterior leakage. AIMS Mathematics, 2026.ISD guided by abstract posterior leakage on error vector; quantifies SD hardness under hints.
- M. Fukase. Double-Structured Genetic Algorithm for Solving the SVP Based on Double Optimization: Using Two Types of Chromosomes. Cryptology ePrint Archive, Paper 2026/1345, 2026.Double-structured genetic algorithm for SVP.
- H. Furue, Y. Ikematsu. Key Recovery Attacks on UOV Using \(p^\ell\)-truncated Polynomial Rings. CRYPTO 2026, 2026.Truncated-polynomial-ring XL key recovery on UOV; intersection attack lowers claimed parameter security.
- H. Furue, Y. Ikematsu. On the Hybrid Method of Rectangular MinRank and Intersection Attacks against UOV Variants. IEICE Transactions, 2026.New hybrid intersection plus rectangular MinRank attack on UOV variants.
- Y. Gao, Y. Feng, H. Hu. Discrete Gaussian Sampling Meets BDGL Decoding: Solving the Shortest Vector Problem in \(2^{0.5596n+o(n)}\) Time. Cryptology ePrint Archive, Paper 2026/1844, 2026.Provable SVP algorithm in 2^0.5596n time via DGS and BDGL decoding.
- Y. Gao, Y. Feng, H. Hu. Solving the Shortest Vector Problem in \(2^{0.7314n+o(n)}\) Time via Discrete Gaussian Sampling on Superlattices. Cryptology ePrint Archive, Paper 2026/1587, 2026.Provable classical SVP algorithm in 2^0.7314n time via DGS on superlattices.
- N. Gauraha. MergeLLL: A Hierarchical Divide-and-Conquer Framework for LLL-Based Lattice Reduction. CoRR, 2026.New divide-and-conquer parallel LLL-style reduction framework.
- A. Ghoshal, Y. Ishai, A. Jain, N. Sun. Quasipolynomial Cryptanalysis of the McEliece Cryptosystem (or: PIR Meets McEliece). Cryptology ePrint Archive, Paper 2026/1630, 2026.Quasipolynomial Goppa-McEliece distinguisher and heuristic key recovery; applies to Classic McEliece parameters.
- E. Gorla, S. Trebiani. Symmetric Models for Syndrome Decoding. Cryptology ePrint Archive, Paper 2026/1995, 2026.Symmetric-polynomial algebraic model for syndrome decoding with lower complexity.
- A. Guillevic. TNFS-alpha documentation: Polynomial selection, computation of alpha, and Murphy-E value for the special-, (extended-,) tower-number field sieve algorithms (STNFS). HAL, 2026.Polynomial selection and Murphy-E tooling for special/tower NFS in extension fields.
- X. Han, Y. Gao, H. Hu. A Provable Subexponential-Time Algorithm for LWE from \(n+o(n)\) Samples via Wagner-Style Gaussian Sampling. Cryptology ePrint Archive, Paper 2026/2261, 2026.Provable subexponential decision-LWE algorithm with n+o(n) samples.
- R. Hashimoto, J. Shikata, A. Takayasu, Y. Wang. AH-BKZ: A Lattice Reduction Algorithm with Asynchronous Hybrid Processing. ICICS 2026, 2026.Faster BKZ preprocessing for sieving SVP solvers; new SVP and Ideal Lattice Challenge records.
- T. Häner, F. Tripier, J. Young, M. Naehrig, A. Maksymov, S. Alam et al. Computing 256-bit elliptic curve discrete logarithms in 26 days on a fault-tolerant trapped-ion quantum computer with 20,000 qubits. Cryptology ePrint Archive, Paper 2026/1916, 2026.Trapped-ion quantum resource estimate for Shor on secp256k1.
- W. He, B. Zhou, Q. Du, J. Xu, Z. Shan. Solving Learning Parity with Noise on an Optical Coherent Ising Machine. Communications Physics, 2026.LPN encoded as Ising problem, solved on coherent Ising machine; structured 2-sparse instances.
- T. Hemmert. Key recovery for the McEliece cryptosystem using higher-order vanishing. Cryptology ePrint Archive, Paper 2026/1339, 2026.Higher-order vanishing key recovery on binary Goppa McEliece; breaks TII challenges.
- M. Hhan. Finding a Shortest Vector and More in \(2^{n/2+o(n)}\) Time using \(q\)-ary Coset Difference Tree. Cryptology ePrint Archive, Paper 2026/1859, 2026.New 2^n/2+o(n) time and space exact SVP and near-CVP algorithm.
- M. Hhan. Solving the Shortest Vector Problem in \(2^{0.6039n}\) Time via Mid-point Hessian. Cryptology ePrint Archive, Paper 2026/1597, 2026.Provable SVP in 2^0.6039n via mid-point Hessian.
- J. Hou, H. Jiang, T. Ogilvie. Careful with the Ring! Concrete Hardness Gaps Between LWE and MLWE. CRYPTO 2026, 2026.Concrete hardness gaps between LWE and MLWE; title only.
- J. Hou, H. Jiang. Careful with the Ring: Enhanced Hybrid Decoding Attacks against Module/Ring-LWE. Cryptology ePrint Archive, Paper 2026/366, 2026.Ring-structure-enhanced hybrid decoding on sparse RLWE; new records, FHE params below 128 bits.
- F. Hörmann, A. Horlemann. Distinguishers for Skew and Linearized Reed-Solomon Codes. CoRR, 2026.Square-code distinguishers for skew/linearized Reed-Solomon codes.
- Y. Huang, Y. Li, X. Qiu, Z. Zhou, F. Zhang, C. Chen et al. Quantum Resource Optimization for CSIDH. Cryptology ePrint Archive, Paper 2026/1707, 2026.Reduces quantum T-gate cost of CSIDH-512 group action and hidden-shift attack.
- Y. Ikematsu, H. Furue. Extending the Applicability of Algebraic Key Recovery Attacks on the UOV Signature Scheme. Cryptology ePrint Archive, Paper 2026/1620, 2026.Extends algebraic oil-subspace key recovery on UOV to v>=2m; lowers SNOVA security.
- S. Ivasiev. METHOD FOR LARGE INTEGER FACTORIZATION BASED ON THE RESIDUE NUMBER SYSTEM. Computer systems and information technologies, 2026.Modified Fermat factoring with residue-number-system filtering; new factoring algorithms.
- F. Januszewski, C. Heinrichs. CUDA-MPQS: A GPU-Resident Self-Initializing Quadratic Sieve, and the Factorization of RSA-155. 2026.GPU self-initializing quadratic sieve; factors RSA-155 with stated resources.
- S. Jaques, L. Ran, S. Samardjiska, M. Seitner. Smoothing the degree of regularity for polynomial systems. ASIACRYPT 2026, 2026.Refines degree of regularity to reduce XL/F4 cost for polynomial system solving.
- S. Jiang. When the Learning With Errors Problem Meets the Coherent Ising Machine: A Penalty-Free Algorithm-Hardware Co-Design. CoRR, 2026.Penalty-free BDD-to-QUBO LWE solver on coherent Ising machine; 40-dim challenge instance.
- S. Jo, G. J. Lee. Quantum Discrete Logarithms on Elliptic Curves with \(5n/2+o(n)\) Logical Qubits and \(\widetilde O(n^2)\) Toffoli Gates. Cryptology ePrint Archive, Paper 2026/2014, 2026.Quantum ECDLP circuit with 5n/2 logical qubits, near-quadratic Toffoli.
- T. Johansson, Q. Guo, V. Nguyen. A BKW-style solver for the restricted syndrome decoding problem. Cryptography and Communications, 2026.BKW-style solver for restricted syndrome decoding (CROSS).
- A. Joux. A correlation duet: Correlation attacks on correlation generators. Cryptology ePrint Archive, Paper 2026/1126, 2026.Correlation attacks on quasi-abelian syndrome decoding PCGs, far faster than prior attack.
- A. Kalam, S. Karmakar, S. Sarkar. Improved Polynomial-Memory Algorithms via Nested Collision Search: Applications to Small Max-Norm LWE and Subset-Sum. Cryptology ePrint Archive, Paper 2026/1720, 2026.Improved polynomial-memory nested collision search for small max-norm LWE.
- A. Kalam, S. Sarkar, W. Meier. On the combinatorial complexity of bounded sparse Learning With Errors (sLWE). Designs, Codes and Cryptography, 2026.Combinatorial attack complexity for bounded sparse LWE; title only.
- M. Khajeian. Resource Estimation of the Distributed Quantum Algorithm for the Elliptic Curve Logarithm Problem. Cryptology ePrint Archive, Paper 2026/1244, 2026.Resource estimates for distributed Shor on 256-bit ECDLP.
- R. Khamitkar, D. P. Suggisetti, S. Chatti, V. Sambhaje, D. Dasari. QUBO Modeling of Module Learning With Errors: Stability and Scaling in Post-Quantum Cryptography. CoRR, 2026.QUBO encoding of MLWE for quantum annealing with scaling estimates.
- H. Kim, K. Jang, A. Baksi, S. Wang, S. Chakraborty, A. Chattopadhyay et al. Concrete Quantum Sieve for Shortest Vector Problem With Application to Lattice-Based Cryptography. IEEE Access, 2026.Concrete quantum NV-sieve circuits and resource estimates for core-SVP of NIST/KpqC schemes.Same work as eprint:2024-712; counted there, weight 0 here.
- H. Kim, K. Jang, H. Seo. Improved Quantum Circuits for Information Set Decoding with Application to Code-Based Cryptography. Cryptology ePrint Archive, Paper 2026/1411, 2026.Improved quantum ISD circuits and resource estimates for HQC and McEliece.
- H. Kim, K. Jang, S. Wang, V. Srivastava, A. Baksi, G. Song et al. New Quantum Circuits for ECDLP: Breaking Prime Elliptic Curve Cryptography. Cryptology ePrint Archive, Paper 2026/106, 2026.Optimized quantum point-addition circuits for Shor ECDLP with logical and physical resource estimates.
- J. Kim. One Discrete Gaussian Sample in \(2^{n/2+o(n)}\) Time. Cryptology ePrint Archive, Paper 2026/1599, 2026.Single discrete Gaussian sample in 2^n/2 time; faster exact SVP/CVP.
- S. Kim, I. Kim. Zeta-Transform Evaluation for Higher-Order Vanishing Key Recovery. arXiv, 2026.Speeds kernel step of higher-order-vanishing key recovery on Classic McEliece parameter sets.
- Y. Kotb, K. A. M. Fathy, I. M. Alseadoon, M. A. G. Hazber, H. M. Bahig. Performance enhancement of Fermat factorization algorithm on multicore systems. J. Supercomput., 2026.Multicore speedup of Fermat factorization.
- A. Kuninets, E. Malygina, E. Melnichuk. A Polynomial-Time Attack on the McEliece Cryptosystem on Elliptic Codes with Arbitrary Divisors. Cryptology ePrint Archive, Paper 2026/2050, 2026.Polynomial-time structural key recovery on McEliece with elliptic AG codes.
- T. Laarhoven. A Note on Sphere Packing Bounds for Tuple Lattice Sieving. arXiv, 2026.Sphere-packing upper bounds on k-irreducible sets limiting tuple sieving.
- T. H. Le. Breaking ACDGV MinRank Gabidulin encryption schemes over matrix codes. ASIACRYPT 2026, 2026.Distinguisher and key recovery on Enhanced Gabidulin Matrix Code schemes; all parameter sets broken.
- J. Li, L. Wang, H. Wang. A Provable Correctness Analysis of the MATZOV-Style FFT Dual Attack on ML-KEM. Cryptology ePrint Archive, Paper 2026/2166, 2026.Provable correctness for MATZOV-style FFT dual attack with ML-KEM cost estimates.
- Y. Li, L. Wang, X. Pan. A novel improved information set decoding algorithm via nearest neighbor search. Cybersecurity (Springer), 2026.Memory-reduced ISD via nearest-neighbour search, quantum variant, re-estimates code-based parameters.
- Y. Li, Y. Cao, S. Hou, B. Huang. An Improved Quantum Both-May ISD Algorithm. 2026 8th International Conference on Electronic Engineering and Informatics (EEI), 2026.Title only: improved quantum Both-May ISD.
- P. Li, S. Tao. Attacking UOV-based Signatures over divided power algebras. Cryptology ePrint Archive, Paper 2026/2272, 2026.Divided-power equations in any characteristic applied to QR-UOV security.
- K. Li, S. Zhao, J. Chen, J. Wen. On the ability to approximate k-DSP of HKZ, BKZ and Slide reduction. Designs, Codes and Cryptography, 2026.Approximation quality analysis of HKZ, BKZ, slide reduction for k-DSP.
- J. Li, L. Wang, H. Wang. Provable FFT-Accelerated Dual Attack on LWE Using the General Dual Lattice. Cryptology ePrint Archive, Paper 2026/2186, 2026.Provable FFT dual attack over general dual lattice; lower provable ML-KEM costs.
- I. Li. Synchronization Phenomena in Classical Factorization Algorithms on Structured Integers. Zenodo, 2026.Small-scale empirical and provable analysis of classical factoring methods on structured integers.
- Y. Li, Q. Zheng. Unified Dual Attack Analyses: Covariance-Based Score Distribution Prediction for LWE. Cryptology ePrint Archive, Paper 2026/1048, 2026.Covariance-based score distribution model unifying dual attack analyses on LWE.
- Y. Li, Q. Zheng. What Happens When integrating Modulus Switching and Lossy Source Coding: A New Dual Attack Variant on LWE. Cryptology ePrint Archive, Paper 2026/1400, 2026.Dual-sieve-FFT variant with modulus switching and lossy source coding, applied to Kyber.
- Z. Liao, F. Zhang. Accelerating Baby-step Giant-step Algorithm for Solving ECDLP Using Elliptic Divisibility Sequences. CHES / TCHES 2026, 2026.BSGS speedup for ECDLP via elliptic divisibility sequences.
- G. M. Lido. A provably quasi-polynomial algorithm for the discrete logarithm problem in finite fields of small characteristic. Finite Fields and Their Applications, 2026.Provable quasi-polynomial DLP in small-characteristic finite fields.
- J. Limbrey, C. Ling, C. Porter. QuaILLL: Quaternion Ideal LLL and BKZ. Cryptology ePrint Archive, Paper 2026/1755, 2026.Quaternion LLL and BKZ for module-LIP / nrd-PIP lattices.
- Y. Lin, S. Xiong, Z. Pei, Y. Han, S. Zhu, S. Yang et al. Solving the Elliptic Curve Discrete Logarithm Problem Using Quantum Tunneling Effects on the D-Wave Advantage2 Quantum Computer. Intelligent and Converged Networks, 2026.Quantum-annealing index calculus solving 16-bit ECDLP on D-Wave hardware.
- C. Ling, H. Yan, N. Zhao. Improved Dual Attack and Trapdoor Sampling via Quantum Rejection Sampling. Cryptology ePrint Archive, Paper 2026/979, 2026.Quantum rejection sampling speeds dual-attack Gaussian sampling; lowers Kyber estimates by 4-13 bits.
- H. Luo, K. Jiang, Y. Pan. Lifting Symmetries for Dimension Reduction in Module-LIP: rank 2 and rank 4. Cryptology ePrint Archive, Paper 2026/2198, 2026.Symmetry-lifting dimension reduction for module-LIP in ranks 2 and 4.
- H. Luo, Z. Yang, J. Luo, Z. Wang, Y. Su, X. Sun et al. Quantum Algorithm for Elliptic Curve Discrete Logarithms with Space-Efficient Point Addition. CoRR, 2026.Space-efficient quantum ECDLP circuit; 835 logical qubits for 256-bit curves.
- H. Luo, Z. Yang, Z. Wang, Y. Su, T. Li. Space-Efficient Quantum Algorithm for Elliptic Curve Discrete Logarithms with Resource Estimation. arXiv, 2026.Space-efficient Shor ECDLP circuit; 1333 logical qubits for 256-bit curve.
- A. Mahalanobis. A Guess and Determine Attack on the Elliptic Curve Discrete Logarithm Problem. CoRR, 2026.Guess-and-determine zero-minor algorithm for ECDLP with complexity analysis.
- M. Mamah. Complexity Analysis and Security Implications of the New Isogeny-Path Algorithm. Cryptology ePrint Archive, Paper 2026/1821, 2026.Concrete cost and time-memory analysis of new isogeny-path algorithm vs SQIsign levels.
- A. Marmebro. Optimizing BKZ Blocksize Scheduling in Lattice-Based Cryptography using Reinforcement Learning. Institutional repository, 2026.Thesis: reinforcement-learning BKZ blocksize scheduling to speed lattice reduction.
- A. May, G. S. Diogo. Multi-Instance Security Degradation of Code-Based KEMs. Cryptology ePrint Archive, Paper 2026/517, 2026.Multi-instance DOOM attacks degrade BIKE, HQC, McEliece below level-1 targets.
- O. Med. Discrete Gaussian and Algorithms on Lattices. Institutional repository, 2026.Thesis on discrete-Gaussian 2^n SVP algorithm, implementation and improved combiner variants.
- S. Merz, L. Ran. Attacking UOV-based Signatures with Schur--Macaulay Matrices. Cryptology ePrint Archive, Paper 2026/2181, 2026.Schur-Macaulay matrices and divided squares improve UOV key recovery; MAYO/SNOVA parameters fall.
- C. Meyer-Hilfiger. Proving modern code-based dual attacks with second-order techniques. Cryptology ePrint Archive, Paper 2026/599, 2026.Provable variant of doubleRLPN code-based dual attack.
- R. Molano. Success Probability of the Classical Reduction in Shor's Algorithm: Average and Worst Case (Reproducibility Code). Zenodo (CERN European Organization for Nuclear Research), 2026.Code for exact success probability of Shor's classical post-processing for factoring.
- G. Mureau, A. Pellet-Mary. Dimension Reduction for SVP in Hawk: A Trace-Zero Approach. Cryptology ePrint Archive, Paper 2026/1560, 2026.Module-LIP dimension reduction; Hawk key recovery via smaller SVP calls.
- S. Nakamura, A. Katayama, M. Yasuda. A new scaling approach to Bai–Galbraith’s embedding for solving LWE over rings. International Journal of Mathematics for Industry, 2026.New rescaled Bai-Galbraith embedding for small-secret LWE over rings.
- S. Narisada, H. Okada, Y. Aikawa, K. Fukushima. A Generalized ISD Framework for Large-Weight Syndrome Decoding. CANS 2026, 2026.Generalized ISD framework for large-weight syndrome decoding over F_q; Wave estimates.
- R. Negishi, K. Komine, A. Katayama, M. Yasuda. On the (Non-)Existence of Efficient Class Group Orbits for Collision Search in CSIDH. WAIFI 2026, 2026.Class group orbit structure for collision search attacks on CSIDH; title only.
- B. Nelson, J. Limbrey, C. Ling, A. Mendelsohn. Cryptanalysis of HAWK: a Guessing Game. Cryptology ePrint Archive, Paper 2026/1318, 2026.Claimed polynomial-time HAWK key recovery via module-LIP; update concedes super-polynomial runtime.
- T. Ogilvie. On the Concrete Hardness Gap Between MLWE and LWE. CRYPTO 2026, 2026.Coefficient-isometry hybrid attacks show concrete MLWE-vs-LWE hardness gap.Same work as dblp:conf-crypto-HouJO26; counted there, weight 0 here.
- M. V. Onai, Д. Т. ГУЛЬКО. Neural Network Configuration of the r-Adding Walk in Pollard’s Rho Method Using the Spectral Gap for the Elliptic Curve Discrete Logarithm Problem. Security of Infocommunication Systems and Internet of Things, 2026.Neural selection of r-adding walk tables for Pollard rho on ECDLP.
- K. Oonishi, N. Kunihiro. An Evaluation of Computational Complexity of Shor’s Algorithm on Surface Codes for Factorization. IEEE Access, 2026.Resource cost estimate of Shor factoring on surface codes with magic-state distillation.
- M. Ostuzzi. Geometric Forgeries: Structural Cryptanalysis of MAYO. Cryptology ePrint Archive, Paper 2026/2247, 2026.Structural geometric forgery on MAYO whipping lowering security below claims.
- M. Ostuzzi. Pseudo-Oil Subspaces and the Geometry of Underdetermined MQ Problems. ASIACRYPT 2026, 2026.Pseudo-oil subspace algorithm for underdetermined MQ; lowers MAYO and QR-UOV direct-attack cost.
- L. Panny, R. Rueger, A. Sferlazza, A. Udovenko. HyperSolver: Asymptotically and Concretely Accelerating the Delfs–Galbraith Attack using Isogeny Ladders. Cryptology ePrint Archive, Paper 2026/1823, 2026.Faster Delfs-Galbraith isogeny path finding via isogeny ladders with concrete costs and GPU implementation.
- C. Patsakis, G. Stergiopoulos. Partial Key Exposure in Falcon with Joint f, g Leakage. ESORICS 2026, 2026.Falcon/NTRU key recovery given partial f,g leakage; hardness under hints, title only.
- P. Pawlitko, N. Moćko, M. Niemiec, P. Chołda. Implementation And Analysis of Regev’s Quantum Factorization Algorithm. Quantum Information & Computation, 2026.Implementation and experimental comparison of Regev versus Shor quantum factoring.
- S. Perriello, A. Barenghi, G. Pelosi. Quantum Walks for Collision-Based Information Set Decoding. CF, 2026.Gate-level quantum walk collision ISD costed on standardization candidates.
- P. d. Perthuis, F. Trenkic. Refined Modelling of the Primal Attack, and Variants Against Module-LWE. PQCrypto 2026, 2026.Refined primal attack cost modelling and variants against Module-LWE.Same work as eprint:2025-2195; counted there, weight 0 here.
- H. Qu, G. Xu. On Solving Ideal-SVP and Ideal-BDD with Group Representations. Cryptology ePrint Archive, Paper 2026/2042, 2026.Representation-theoretic dimension reduction for ideal-uSVP and ideal-BDD.
- H. Qu, C. Tian, G. Wang, G. Xu. Provable dual attack on LWE via lattice projection. Cryptology ePrint Archive, Paper 2026/2117, 2026.Provable dual attack on LWE via lattice projection, fewer Gaussian samples.
- M. Rahmani, A. Nitaj, M. Ziane. Cryptanalysis of some algebraic variants of the RSA cryptosystem. Finite Fields and Their Applications, 2026.Coppersmith lattice attacks on algebraic RSA variants with small d.
- A. Raya, V. Kumar, K. Dey, S. Gangopadhyay. CoNAN: A Structure-Aware Framework for Lattice Cryptanalysis. Cryptology ePrint Archive, Paper 2026/1041, 2026.Algebra-induced homomorphisms give lower-dimensional lattice attacks on structured schemes.
- M. Rossi. The Lattice Isomorphism Problem with Hints. CHES / TCHES 2027, 2027.LIP-with-hints SVP embedding; intrinsic signature hints cut Hawk-1024 security ~11 bits.
- F. Rudolph. Choosing iteration maps for the parallel Pollard rho method. Designs, Codes and Cryptography, 2026.Iteration map choice for parallel Pollard rho.
- M. O. Saarinen. Bit Operation Cost of ``Holdout'' Key-Recovery Attacks Against Classic McEliece. Cryptology ePrint Archive, Paper 2026/1786, 2026.Bit-operation cost of Holdout structural key recovery for all Classic McEliece sets.
- M. O. Saarinen. HOVER: Higher-Order Vanishing Endomorphism Recovery. Cryptology ePrint Archive, Paper 2026/1778, 2026.HOVER Goppa structure key recovery; solves TII McEliece challenges.
- M. O. Saarinen. Two-Anchor Holdout/Hermite: Solving the TII-254 McEliece Key Recovery Challenge. Cryptology ePrint Archive, Paper 2026/1986, 2026.Solves TII-254 McEliece key recovery challenge with GPU-hours reported.
- A. Sato, M. Yasuda. A new BKZ-type reduction with provable termination and development of its self-dual variant. Japan Journal of Industrial and Applied Mathematics, 2026.New BKZ-type reduction PotBKZ with provable termination and self-dual variant.
- R. L. Scala, M. Marchesin, S. K. Tiwari. Hamming Ideals and Grobner Bases for ISD-like Syndrome Decoding. Cryptology ePrint Archive, Paper 2026/2062, 2026.Groebner-basis ISD-like syndrome decoding evaluated at McEliece category-1 sizes.
- A. Schrottenloher. Optimized Point Addition Circuits for Elliptic Curve Discrete Logarithms. Cryptology ePrint Archive, Paper 2026/1128, 2026.Quantum point-addition circuits and Shor ECDLP resource counts for secp256k1.
- M. Seck, H. B. Tchapgnouo. A Generalized Partial Exposure Lattice Attack Against an RSA variant Based on Cubic Pell Curves. Discrete Applied Mathematics, 2026.Partial-exposure Coppersmith attack on cubic Pell RSA variant.
- L. Shea, M. Haller, A. Suhl, N. Heninger, E. Thomé. Forging 1024-bit RSA signatures in nearly SNFS time. Cryptology ePrint Archive, Paper 2026/2131, 2026.Runs JNT oracle-assisted RSA forgery for 1024-bit RSA in 1380 core-years; lowers RSA estimates.
- D. Shiu. Quantum approaches to learning parity with noise. CoRR, 2026.Exploratory Simon-based quantum approach to LPN.
- D. R. Simon. A Polynomial-Time Quantum Algorithm for the Dihedral Coset Problem. Cryptology ePrint Archive, Paper 2026/1591, 2026.Claimed poly-time quantum DCP algorithm implying LWE/SVP attacks; disputed, not withdrawn.
- Y. Song, R. Chen, X. Huang, J. Zhang, C. Lin. Refined OJ Attacks: Tight Complexity for Rank Decoding Problems and Their Cryptographic Implications. Cryptology ePrint Archive, Paper 2026/1291, 2026.Refined Ourivski-Johansson modelling with tight complexities for rank decoding variants.
- T. d. R. Sousa, T. C. S. Neto. Lattice Basis Reduction Attack on Matrix NTRU. J. Braz. Comput. Soc., 2026.Lattice reduction plaintext recovery on Matrix NTRU variant.Journal extension of openalex:W4402985682; counted at 0.33.
- M. Stevens, M. Yonli. On Reduction Probability Models in Lattice Sieving. Cryptology ePrint Archive, Paper 2026/1465, 2026.Reduction probability models for lattice sieving refining the sphere model.
- Z. Straznickas, S. A. Weis. HAWK-\(n\) Key Recovery Reduces to SVP in Dimension \(n/2 + 1\). Cryptology ePrint Archive, Paper 2026/1593, 2026.Galois automorphism reduces HAWK key recovery to SVP in dimension n/2+1; HAWK-256 broken.
- M. Street(@math__street). First Fall Is Not Solving: An Exact Degree Classification of the Quadratic Semaev–Weil Family. Zenodo, 2026.Solving-degree classification of Weil-restricted Semaev systems for EC index calculus; non-reviewed outlet.
- M. Street(@math__street). Unified Transfers: Restricted Classification and an Ordinary Ring-Class Realization. Zenodo, 2026.Restricted impossibility results for new ECDLP transfer maps; unreviewed agent-assisted preprint.
- T. Suzuki, H. Furue, T. Ito, S. Nakamura, S. Uchiyama. Optimization of the Extended Rectangular MinRank Attack against UOV and Its Variants. IEICE Transactions, 2026.Optimized rectangular MinRank key recovery against UOV variants, evaluated on proposed parameters.
- Z. Tao, Z. Hu, Y. Zhang, C. Zhao. Complex-Multiplication Terminals for Supersingular Isogeny Path-Finding. Cryptology ePrint Archive, Paper 2026/1516, 2026.CM terminals improving Delfs-Galbraith supersingular isogeny path-finding.
- G. Teseleanu. A Generalized Wiener-type Attack Against a Family RSA-like Cryptosystems. CSCML, 2024.Continued-fraction and lattice small-d attack on RSA-like variants; factoring-class.
- M. Tesoro, I. Siloi, D. Jaschke, G. Magnifico, S. Montangero. Integer factorization via tensor-network Schnorr's sieving. Physical Review A, 2026.Tensor-network Schnorr sieving factoring up to 100 bits.
- K. Toda, Y. Wang, H. Jo, Y. Li. Improving ENUM-Sieve Reduction Algorithm for Prime Cyclotomic Lattices. Computer Modeling in Engineering & Sciences, 2026.Improved ENUM-sieve reduction for SVP on prime cyclotomic lattices.
- Y. K. Toh. Efficient quantum circuit design. DR-NTU (Nanyang Technological University), 2026.Student report reducing Toffoli depth/qubits of Shor modular exponentiation; resource estimate.
- W. I. Trei. Explicit Methods for Solving the Discrete Logarithm Problem on Algebraic Curves. Carl von Ossiezky University of Oldenburg, 2026.Dissertation: new index calculus and sieving for DLP on algebraic curves.
- A. Udovenko. Solving the supersingular isogeny problem in time \(p^{2/5+o(1)}\) using bivariate multipoint evaluation. Cryptology ePrint Archive, Paper 2026/1575, 2026.Unconditional p^2/5 algorithm for supersingular isogeny problem.
- K. Vedenev. Extending Distinguishing to Key Recovery for Subfield Subcodes of GRS codes. Cryptology ePrint Archive, Paper 2026/1747, 2026.Key recovery from GRS-subcode distinguisher; solves TII McEliece challenges; Classic McEliece cost.
- A. Vinçotte. How to break the Miranda signature scheme over matrix Gabidulin codes. arXiv, 2026.Structural key recovery on Miranda matrix-Gabidulin scheme via MinRank.
- T. Wakao, Y. Aikawa, S. Narisada, T. Takagi. Revisiting ISD Algorithms and New Decoding Records for Large Weight Syndrome Decoding over F q. ICISSP (2), 2026.ISD revisited with new large-weight syndrome decoding records over Fq.
- R. Wang, Z. Wang, Q. Zheng, X. Zhao. LaMS: A p-adic Layered Modulus Switching for Provable Dual Attacks on LWE. Inscrypt 2026, 2026.p-adic layered modulus switching for provable dual attacks on LWE.
- Z. Wang, J. Zhuang, G. Cui. Refined analysis of algorithms solving syndrome decoding problem. IACR Communications in Cryptology, 2026.Refined concrete BJMM cost in SD estimator; preprocessing ISD variants; McEliece estimates.
- Y. Wang, K. Toda, S. Terada, A. Miyaji. Rotation-Exploiting Ideal Triple Sieve for SVP on Prime Cyclotomic Ideal Lattices. Research Square, 2026.Triple sieve exploiting rotations for SVP on prime cyclotomic ideal lattices.
- R. Wang, H. Yang, Z. Wang, Q. Zheng, Y. Li. Too Far Behind? Narrowing the Gap with a Dual-Enhanced Two-Stage Algebraic Algorithm for LWE. Cryptology ePrint Archive, Paper 2026/688, 2026.Dual-reduction plus resultant-based algebraic algorithm for LWE; Kyber estimates.
- S. A. Weis. Improving GIJS Key Recovery for Classic McEliece. Cryptology ePrint Archive, Paper 2026/1984, 2026.Cheaper Goppa distinguisher run and key recovery for Classic McEliece; solves toy TII challenge.
- W. Xia, G. Wang, D. Gu. Dynamic Scaling Pollard’s P-1 Algorithm. Cryptography (MDPI), 2026.Improved Pollard p-1 factoring variant with complexity analysis.
- T. Xue, J. P. Covey. Factoring \(2048\) bit RSA integers with a half-million-qubit modular atomic processor. arXiv, 2026.Distributed Shor compilation and resource estimate for RSA-2048 on modular atomic hardware.
- J. Yang, W. Zhang, J. Yu, S. Li, Z. He. Integer factorization via spatial photonic Ising machine using a lattice sieve method. Optics Express, 2026.Photonic Ising-machine CVP solver for Schnorr-style lattice-sieve factoring; small integers.
- J. Yang, W. Zhang, J. Yu, S. Li, Z. He. Integer factorization via spatial photonic Ising machine using lattice sieve method. Figshare, 2026.Photonic Ising-machine Schnorr lattice-sieve factoring; small toy instances.
- T. Yu, H. Jiang, H. Wang, R. Chen, Q. Cheng, X. Huang et al. Progressive Sieving-Style Information-Set Decoding Algorithm. Cryptology ePrint Archive, Paper 2026/633, 2026.Progressive sieving-ISD; HQC levels fall below NIST targets.
- X. Zhang, Z. Zhou, L. Qu. Refined Approx-SVP Rank Reduction Conditions and Adaptive Lattice Reduction for MSIS Security Estimation. Cryptology ePrint Archive, Paper 2026/607, 2026.Refined approx-SVP rank reduction and adaptive BKZ for MSIS estimates; Dilithium loses bits.
- Z. Zhao, J. Ding. Towards Large-Scale Lattice Attack: New Lattice Records by Disk-Based Sieving. EUROCRYPT 2026, 2026.New lattice SVP records via disk-based sieving.
- M. Zheng, Y. Feng, A. Nitaj, Y. Pan. A Hybrid Attack on Small Private Exponent RSA via Continued Fractions and Lattices. Cryptography (MDPI), 2026.Hybrid continued-fraction/Coppersmith attack on small private exponent RSA.
- Y. Zhou, Z. Wang, M. Wang. Exact SVP on Haar-Random Lattices at the Heuristic Sieving Exponents. Cryptology ePrint Archive, Paper 2026/2271, 2026.Provable exact SVP on random lattices at heuristic sieving exponents.
- Y. Zhu, C. Lv, J. Liu. On the complexity formulae of the number field sieve and its variants. Designs, Codes and Cryptography, 2026.Complexity formulae for NFS and variants.
- T. Zisckind. DRAWDOWN: The Systems Gap in Lattice Cryptanalysis — How Implementation-Level Optimizations Compound to Threaten Post-Quantum Security Margins. Zenodo, 2026.Measured systems-level sieve/BKZ speedups versus cost models for Kyber/Falcon; unreviewed.
2025167 items2025.bib
- Q. A. Advancing LWE cryptanalysis: an updated MIP model and QUBO formulation for quantum annealing. Prikladnaya Diskretnaya Matematika, 2025.MIP and QUBO formulations of LWE for quantum annealing attack; toy scale.
- M. A. Aardal, D. F. Aranha, Y. Feng, Y. Gao, Y. Pan. Better Bounds for Finding Fixed-Degree Isogenies via Coppersmith’s Method. EUROCRYPT 2026, 2026.Coppersmith small-root bounds improve fixed-degree isogeny finding classically and quantumly.
- A. Abdullah, A. Mahalanobis. A Zero Minor Solves the Elliptic Curve Discrete Logarithm Problem. Experimental Mathematics, 2025.Zero-minor approach to solving ECDLP, computational exploration.
- M. O. Al-Hasso, M. v. d. Leyen. A Probabilistic Computing Approach to the Closest Vector Problem for Lattice-Based Factoring. CoRR, 2025.Title-only: probabilistic-computing CVP solver for Schnorr-style lattice factoring.
- B. Allombert, A. Pellet-Mary, W. v. Woerden. Cryptanalysis of rank-2 module-LIP: a single real embedding is all it takes. EUROCRYPT 2025, 2025.Polytime attacks on rank-2 module-LIP over fields with real embedding.
- Y. Aono, P. Q. Nguyễn. On tiny-probability lattice enumeration. Japan Journal of Industrial and Applied Mathematics, 2025.Corrected cost prediction for pruned enumeration at tiny success probability.
- D. Apon. So about that Quantum Lattice Thing: Rebuttal to "Exact Coset Sampling for Quantum Lattice Algorithms". Cryptology ePrint Archive, Paper 2025/1945, 2025.Rebuttal of claimed quantum lattice algorithm (exact coset sampling).
- R. Arim, K. Kiwoong, J. Kyungtaek. Quantum prime factorization algorithms using binary carry propagation. arXiv, 2025.Quantum annealing factoring formulations (HUBO/CQM) with experiments to 60 bits.
- B. Arnesen, D. G. M. Mitchell, W. K. Harrison. Cryptanalysis of a McEliece Cryptosystem Based on Cascaded Goppa-Ldpc Code Encryption. 2025 13th International Symposium on Topics in Coding (ISTC), 2025.Structural attack reducing cascaded Goppa-LDPC McEliece to LDPC key recovery.
- R. C. d. Assis, T. d. R. Sousa. Tailoring a Genetic Algorithm for searching Shortest Lattice Vector in NTRU Lattices. Anais do XXV Simpósio Brasileiro de Cibersegurança (SBSeg 2025), 2025.Genetic-algorithm SVP search tailored to NTRU lattices; preliminary.
- L. Babinkostova, A. Chin, A. Kirtland, V. Nazarchuk, E. Plotnick. Spectral distortion and the ring learning with errors problem. Involve, a Journal of Mathematics, 2025.Spectral distortion conditions for RLWE-to-PLWE attacks (journal version).
- S. Bai, H. Jangir, E. Kirshanova, T. Ngo, W. Youmans. A Quasi-polynomial Time Algorithm for the Extrapolated Dihedral Coset Problem over Power-of-Two Moduli. CRYPTO 2025, 2025.Quasi-polynomial quantum algorithm for EDCP over power-of-two moduli.
- C. Bassotto, E. Franch, M. Krcek, S. Picek. NoMod: A Non-modular Attack on Module Learning With Errors. CoRR, 2025.ML/robust-estimation secret recovery attack on sparse-secret (Module-)LWE after lattice preprocessing.
- B. J. Benedikt. Reducing the Number of Qubits in Solving LWE. PQCrypto 2025, 2025.Linear-qubit quantum algorithm for ternary LWE via generalized Dicke states.
- J. Biasse, F. Song. An efficient quantum algorithm for computing \(S\)-units and its applications. SODA 2015, 2015.Quantum polynomial-time S-unit computation enabling principal ideal and short generator attacks.
- A. Blomme, S. Cherif, S. Ionica, G. Dequen. ANF-Based Satisfiability for Weil-Descent Cryptographic Attacks. 2025 11th International Conference on Control, Decision and Information Technologies (CoDIT), 2025.ANF SAT solver for Weil-descent Semaev-polynomial ECDLP attacks.
- K. d. Boer, J. Felderhoff. Quantumly Computing S-unit Groups in Quantified Polynomial Time and Space. CRYPTO 2026, 2026.Quantified quantum S-unit group algorithm; core tool for ideal-lattice/principal ideal attacks.
- A. Bogdanov, R. Chatterjee, Y. Li, P. N. Vasudevan. Decoding Balanced Linear Codes With Preprocessing. ITCS, 2026.Decoding random linear codes beyond Prange with preprocessing advice; LPN implications.
- C. Bouillaguet, C. Delaplace, M. Hamdad, D. Vergnaud. Practical cryptanalysis of pseudorandom correlation generators based on quasi-Abelian syndrome decoding. ASIACRYPT 2025, 2025.Breaks quasi-abelian syndrome decoding parameters via sparse interpolation exploiting algebraic structure.
- C. Bouillaguet, C. Delaplace, M. Hamdad. The May-Ozerov Algorithm for Syndrome Decoding is "Galactic". IACR Communications in Cryptology, 2025.Concrete cost analysis showing May-Ozerov ISD never beats Stern-based ISD in practice.
- P. Briaud, M. Bros, R. Perlner, D. Smith-Tone. Practical Attack on All Parameters of the HPPC Signature Scheme. Selected Areas in Cryptography (SAC) 2025, 2025.HPPC shown to be special HFE; practical MinRank key recovery for all parameters.
- J. Cai, B. Young. Quantum Algorithms for Discrete Log Require Precise Rotations. ACM Transactions on Quantum Computing, 2025.Shor DL algorithm fails under small rotation-gate noise.
- R. Cao, J. Wang, L. Zheng, J. Zhou, H. Wang, T. Xiao et al. Optimizing Lattice Basis Reduction Algorithm on ARM V8 Processors. Applied Sciences, 2025.Faster floating-point LLL via SIMD/assembly on ARM; per v0.3.4 faster LLL counts.
- J. Cao, H. Jiang, Q. Cheng. Refined Attack on LWE with Hints: Constructing Lattice via Gaussian Elimination. CRYPTO 2025, 2025.Refined LWE-with-hints attack building lattices by Gaussian elimination.
- M. Cartor, J. Lichtinger, R. A. Perlner, D. Smith-Tone. Practical Lattice Attack and Patched Parameters for 2F Multivariate Encryption: Is 2F Still Better Than Standard Lattice Constructions for Small Ciphertext Size? IWSEC 2025, 2025.Practical lattice attack on 2F multivariate encryption with patched parameters.
- I. B. Chacón, R. D. Díaz, R. M. Sánchez-Ledesma. A Generalized Approach to Root-based Attacks against PLWE. Cryptography and Communications, 2026.Root-based distinguishing attacks on PLWE for weak defining polynomials.
- X. Chen, W. Shu, Z. Zhou. Algorithms for Sparse LPN and LSPN Against Low-noise (extended abstract). COLT, 2025.New algorithms for sparse LPN and LSPN in low-noise regime.
- M. Chen, C. Petit. Computing the Endomorphism Ring of a Supersingular Elliptic Curve from a Full Rank Suborder. EUROCRYPT 2025, 2025.Algorithm computing supersingular endomorphism ring from a suborder; core isogeny problem.
- Y. Chen, Z. Chen, T. Guo, C. Sun, W. Wen, Y. Yu. Time Memory Trade-off For Enumeration. Cryptology ePrint Archive, Paper 2025/2227, 2025.Meet-in-the-middle time-memory trade-off for lattice enumeration.
- C. Chevignard, G. Mureau. Ideally HAWKward: How Not to Break Module-LIP. Cryptology ePrint Archive, Paper 2025/1095, 2025.Shows totally-real module-LIP attack does not adapt to HAWK's quaternary equation.
- J. Chi-Domínguez. Improved Subfield Curve Search For Specific Field Characteristics. Cryptology ePrint Archive, Paper 2025/226, 2025.Improved subfield curve search for supersingular isogeny problem.
- L. Chih-Chen, L. Chia-Hsin, T. Yun-Cheng. Enhancing the Practical Reliability of Shor's Quantum Algorithm via Generalized Period Decomposition: Theory and Large-Scale Empirical Validation. arXiv, 2025.Improved classical post-processing raising Shor factoring success rate.
- S. Cho, C. Lee, S. Seo. Quantum security analysis of Module-LWE PQC based on practical cost estimates. CHES / TCHES 2025, 2025.Quantum sieve circuits and resource estimates applied to ML-KEM/ML-DSA security.
- H. B. Couvée, A. Wachter-Zeh, V. Weger. Hybrid Subsupport Guessing: A New Hybrid Technique for the Rank Decoding Problem. PQCrypto 2026, 2026.New subsupport-guessing hybrid for rank decoding; lowers RYDE cat-5 complexity 301->272 bits.
- A. Couvreur, R. Pratihar, N. Tanisali, I. Zappatore. On the structure of the Schur squares of Twisted Generalized Reed-Solomon codes and application to cryptanalysis. PQCrypto 2025, 2025.Schur-square distinguisher and key recovery on twisted GRS McEliece variants.
- S. Y. D. Attack on the ECC2 cryptosystem and the McEliece cryptosystem built on elliptic codes. Prikladnaya Diskretnaya Matematika, 2025.Polynomial structural key recovery for elliptic-code McEliece/ECC2 via Schur products.
- P. Dallaire-Demers, W. Doyle, T. Foo. Brace for impact: ECDLP challenges for quantum cryptanalysis. arXiv, 2025.Graded ECDLP challenge ladder with Shor resource estimates on secp256k1-family curves.
- D. Daniel, P. K. Mensah, P. Appiahene, P. Nimbe. A Constraint Satisfaction Approach for Estimating the RSA Prime Factors towards Known Bits Factorization Attacks. Journal of Cybersecurity and Information Management, 2025.CSP heuristic factoring RSA given known low digits of primes.
- L. V. Dieulefait, J. J. Urroz. Computing \(\)\varphi (N)\(\) for an RSA module with a single quantum query. Quantum Information Processing, 2025.Computing phi(N) from a single order query; quantum factoring post-processing.
- I. Dinur, N. Keller, A. Marmor. Non-Adaptive Cryptanalytic Time-Space Lower Bounds via a Shearer-like Inequality for Permutations. STOC 2026, 2026.Non-adaptive time-space lower bounds for generic-group DLOG with preprocessing.
- L. Ducas, J. Loyer. Lattice Reduction via Dense Sublattices: A Cryptanalytic No-Go. IACR Communications in Cryptology, 2025.DSP-BKZ not better than BKZ with dimensions for free; no-go result.
- L. Ducas, L. Engelberts, P. d. Perthuis. Predicting Module-Lattice Reduction. ASIACRYPT 2025, 2025.Average-case module-BKZ slope analysis; structure gain or loss by discriminant.
- L. Ducas, L. N. Pulles, M. Stevens. Towards a Modern LLL Implementation. ASIACRYPT 2025, 2025.BLASter: much faster LLL/segmented BKZ implementation for lattice reduction.
- L. Ducas, L. Engelberts, J. Loyer. Wagner's Algorithm Provably Runs in Subexponential Time for SIS\(^\infty\). Cryptology ePrint Archive, Paper 2025/575, 2025.Provable subexponential Wagner-style algorithm for SIS in infinity norm.
- Q. Edme, P. Fouque, A. Schrottenloher. Faster Quantum Algorithms for MQ2 and Applications. IACR Communications in Cryptology, 2025.Quantum gate-count algorithms for Boolean MQ solving; applied to block ciphers.
- M. Ekerå, J. Gärtner. A high-level comparison of state-of-the-art quantum algorithms for breaking asymmetric cryptography. IACR Communications in Cryptology, 2025.Cost comparison of Regev-type vs Shor-type quantum algorithms for factoring and DLP.
- F. Elbro, V. Weger. Can we Speed up Information Set Decoding by Using Extension Field Structure? Cryptography and Communications, 2026.ISD over extension fields; new BJMM variants, no asymptotic speedup found.
- F. Elbro, P. Santini. Decoupling Support Enumeration and Value Discovery in Non-Binary ISD. Cryptology ePrint Archive, Paper 2025/1523, 2025.New non-binary ISD algorithms decoupling support enumeration from values.
- L. Engelberts, Y. Chen, A. S. Gilani, M. v. Hoof, S. Jeffery, R. d. Wolf. An Improved Quantum Algorithm for 3-Tuple Lattice Sieving. CRYPTO 2026, 2026.Faster quantum 3-tuple sieving for SVP under memory limits.
- H. Felicitas, H. Anna-Lena. Skew Reed-Solomon codes to the ReSkew: a new broken code-based cryptosystem. elib (German Aerospace Center), 2025.Structural attacks breaking skew Reed-Solomon McEliece-like cryptosystem ReSkew.
- M. L. Flor. Algorisme híbrid per a trencar la seguretat basada en la factorització d'enters. Hispana, 2025.Hybrid Pollard-rho/ECM factoring algorithm with experiments (thesis).
- J. Friedlander. A Summation-Based Algorithm For Integer Factorization. CoRR, 2025.New sqrt(n) factoring method; modest claim, uncompetitive.
- H. Fu, Y. Cao, H. Xiang, C. Zhang. Research on the Security Estimation Framework for Code-Based Public Key Cryptography Algorithms. ACNS 2025, 2025.Security estimation framework for code-based PKC; cost model, title only.
- H. Furue, Y. Aikawa. An Improved Both-May Information Set Decoding Algorithm: Towards More Efficient Time-Memory Trade-Offs. PQCrypto 2025, 2025.Improved Both-May ISD with better time-memory trade-offs.
- J. G. Fuselier, A. Iezzi, M. Kozek, T. Morrison, C. Namoijam. Computing supersingular endomorphism rings using inseparable endomorphisms. Journal of Algebra, 2025.Algorithm for supersingular endomorphism ring problem, core isogeny hardness; title only.
- G. Gaggero, E. Gorla, D. Cabarcas. The complexity of the SupportMinors Modeling for the MinRank Problem. Designs, Codes and Cryptography, 2026.Proven complexity of SupportMinors modeling for MinRank.
- S. Galbraith, V. Gilchrist, D. Robert. Improved algorithms for ascending isogeny volcanoes, and applications. LATINCRYPT 2025, 2025.Improved ascending isogeny recovery via self-pairings; impact on SCALLOP.
- Y. Gao, Y. Feng, H. Hu, Y. Pan. On Factoring and Power Divisor Problems via Rank-3 Lattices and the Second Vector. Mathematics of Computation, 2025.Deterministic rank-3 Coppersmith factoring improving N^1/5 complexity and power divisors.
- M. Garn, A. Kan. Quantum Resource Estimates for Computing Binary Elliptic Curve Discrete Logarithms. IEEE Transactions on Quantum Engineering, 2025.Quantum resource estimates for Shor on binary elliptic curves.
- I. Golubev. Golubev Delta Sieve Factoring Method. 2025.Fermat-style sieve factoring method, modest claims, non-reviewed; low impact.
- Z. Guan, X. Zhuang, N. E. Mastorakis. Optimization of Quadratic Sieve Algorithm Implementation for Large Integer Factorization. WSEAS TRANSACTIONS ON COMPUTERS, 2025.Implementation optimizations of quadratic sieve factoring.
- T. Hemmert, A. Wiemers. Distinguishing Goppa codes using higher-order vanishing. CRYPTO 2026, 2026.Goppa/alternant code distinguisher via higher-order vanishing.
- K. Hirose, S. Okumura, A. Miyaji. An Attack on Ring-LWE Using a Dynamically Adjustable Block Size BKW Algorithm. AsiaJCIS, 2025.Ring-BKW with dynamically adjusted block size; toy-parameter experiments.
- J. HU. A New Method for Solving Discrete Logarithm Based on Index Calculus. Cryptology ePrint Archive, Paper 2025/015, 2025.Claimed improved index calculus for prime-field DLP; vague.
- J. Hu, R. Jiang, A. Bouridane. Red Team Cryptanalysis of Lattice-Based Post-Quantum Cryptography Using Transformers. 2025.Empirical evaluation of SALSA/VERDE transformer attacks on LWE.
- Y. T. Huang, F. Zhang, G. Fei, Z. Zhou, L. Qu. Choosing Coordinate Forms for Solving ECDLP Using Shor's Algorithm. CoRR, 2025.Coordinate choice for quantum resources of Shor ECDLP circuits.
- Y. Huang, F. Zhang, Z. Hu, Z. Zhou, L. Qu. Improved quantum circuits for elliptic curve discrete logarithm problems on Ed25519. Quantum Inf. Process., 2023.Improved quantum circuits and resource counts for ECDLP on Ed25519.
- Y. Huang, D. Zeng, C. Chen, Z. Zhou, F. Zhang. Quantum algorithm for solving binary hyperelliptic curve discrete logarithm problem. Cybersecurity (Springer), 2025.Shor-based quantum resource estimates for genus-2 binary hyperelliptic DLP.
- Y. Huang, F. Zhang, Z. Su, Z. Zhou. Quantum algorithm for solving discrete logarithm problem on Jacobians of genus 3 hyperelliptic curves. International Journal of Quantum Information, 2025.Quantum resource estimates for Shor on genus-3 hyperelliptic Jacobians.
- K. Jang, V. Srivastava, A. Baksi, S. Sarkar, H. Seo. New Quantum Cryptanalysis of Binary Elliptic Curves (Extended Version). CHES / TCHES 2025, 2025.Improved quantum point-addition circuits for Shor on binary elliptic curves.Same work as dblp:journals-tches-JangSBSS25; counted there, weight 0 here.
- K. Jang, V. Srivastava, A. Baksi, S. Sarkar, H. Seo. New Quantum Cryptanalysis of Binary Elliptic Curves. CHES / TCHES 2025, 2025.Improved Shor point-addition circuits and cost estimates for binary curves.
- Y. Jin, Y. Pan, X. He, B. Gong, J. Ding. Security Analysis on UOV Families with Odd Characteristics: Using Symmetric Algebra. PKC 2026, 2026.Reduced symmetric algebra generalizes exterior-algebra XL key recovery to odd-characteristic UOV.
- G. A. Kabatiansky, E. A. Krouk. Analysis of one chain of McEliece system’s modifications. 2025 XIХ International Symposium on Problems of Redundancy in Information and Control Systems (Redundancy), 2025.Cryptanalysis of McEliece variants using public error-vector transformations.
- G. D. Kahanamoku-Meyer, S. Ragavan, K. V. Kirk. Parallel Spooky Pebbling Makes Regev Factoring More Practical. EUROCRYPT 2026, 2026.Parallel spooky pebbling reduces arithmetic depth of Regev's quantum factoring algorithm.
- G. D. Kahanamoku–Meyer, S. Ragavan, V. Vaikuntanathan, K. V. Kirk. The Jacobi Factoring Circuit: Quantum Factoring with Near-Linear Gates and Sublinear Space and Depth. STOC 2025, 2025.Space-efficient quantum factoring circuit for P^2 Q integers.
- D. Kahrobaei, L. Perret, M. Vigorito. Security analysis of ZKPoK based on MQ problem in the multi-instance setting. Journal of Mathematical Cryptology, 2025.Polynomial-time algorithm for DiffMQ_H problem underlying multi-instance MQ ZK.
- S. Kandii, І. Горбенко. Refining security assessments of quantum-resistant asymmetric encryption standards taking into account the structure of q-ary lattices. Radiotekhnika, 2025.Refined concrete security estimates for Kyber and Skelya using q-ary lattice structure.
- A. Karenin, E. Kirshanova, J. Nowakowski, E. W. Postlethwaite, L. N. Pulles, F. Virdia et al. Cool + Cruel = Dual, and New Benchmarks for Sparse LWE. EUROCRYPT 2026, 2026.Recasts Cool+Cruel as dual attack; benchmarks primal attacks on sparse LWE.
- A. Karenin, E. Kirshanova, A. May, J. Nowakowski. Fast Slicer for Batch-CVP: Making Lattice Hybrid Attacks Practical. ASIACRYPT 2025, 2025.Fast batch-CVP slicer making BDD hybrid attacks practical.
- J. Kim, C. Lee, Y. Son. Worst-case Analysis of Lattice Enumeration Algorithm over Modules. Cryptology ePrint Archive, Paper 2025/480, 2025.Module analogue of KHS enumeration with improved module-SVP and ideal-SVP complexity.
- K. Kishi, J. Yamaguchi, T. Izu, N. Kunihiro. Simulation of Shor Algorithm for Discrete Logarithm Problems With Comprehensive Pairs of Modulo \(p\) and Order \(q\). IEEE Transactions on Quantum Engineering, 2025.Simulated Shor DLP circuits; success probability and circuit size extrapolation for 2048-bit groups.
- T. Köppl, R. Zander, L. Henkel, N. Tcholtchev. A parameter study for LLL and BKZ with application to shortest vector problems. 2025 IEEE Symposium on Computers and Communications (ISCC), 2025.Empirical LLL/BKZ parameter study on SVPs from LWE instances.
- V. Kumar, A. Raya, A. K. Gangopadhyay, S. Gangopadhyay. Cryptanalysis of Group Ring NTRU: The Case of the Dihedral Group. SECURITY AND PRIVACY, 2025.Lattice attack on dihedral group-ring NTRU halving lattice dimension.
- A. Kumari, U. Garain, S. Bandyopadhyay, G. Mishra, S. K. Pal, M. Bhattacharyya. RSA Cryptanalysis: An Elitist Genetic Algorithm for Integer Factorization. 2025 IEEE Symposium on Computational Intelligence in Security, Defence and Biometrics Companion (CISDB Companion), 2025.Elitist genetic algorithm factoring up to ~70 bits; weak factoring algorithm.
- E. Lau, L. Shea, N. Heninger. On the Dangers of RSA Exponent Transforms. PKC 2026, 2026.Coppersmith/Blomer-May factoring given approximate multiple of phi(N); weak large exponents.
- A. Lemoine. The Tangent Space Attack. Cryptology ePrint Archive, Paper 2025/763, 2025.Quadratic-hull tangent space attack recovers GRS structure of high-rate alternant codes; McEliece key recovery.
- A. Lemoine, R. Mora, J. Tillich. Understanding the new distinguisher of alternant codes at degree 2. Designs, Codes and Cryptography, 2025.Analysis of degree-2 Hilbert function distinguisher for alternant/Goppa codes.
- Y. Li. From Subset-Sum to Decoding: Improved Classical and Quantum Algorithms via Ternary Representation Technique. Inf., 2025.Ternary-representation subset-sum algorithms yielding improved classical/quantum ISD exponents.
- Z. Li, J. Xu, J. Song, H. Xu, Y. Jia, Y. Zou et al. Improved Attacks Against Lattice-Based KEMs Using Hints From Hertzbleed. CHES / TCHES 2025, 2025.Better use of modular hints via low-dimensional lattices for key recovery; hint exploitation.
- J. Li. Provable Speedups for SVP Approximation Under Random Local Blocks. Cryptology ePrint Archive, Paper 2025/244, 2025.Provably faster approx-SVP under random local block assumption.
- X. Li, C. Wang, C. Xie. Symplectic enumeration reduction algorithm for lattice-based post-quantum cryptography NTRU. The International Conference Optoelectronic Information and Optical Engineering (OIOE2024), 2025.Symplectic enumeration exploiting NTRU lattice structure for faster SVP.
- Y. Li. Ternary LWE Key Search: A New Frontier for Quantum Combinatorial Attacks. Inf., 2025.Quantum-walk combinatorial key search for ternary LWE/NTRU secrets.
- W. Liu, B. Yu, Y. Kong, S. Huang. A Parallel Lattice Basis Reduction Algorithm Based on Progressive BKZ. 2025 3rd International Conference On Mobile Internet, Cloud Computing and Information Security (MICCIS), 2025.Parallel progressive BKZ lattice reduction algorithm.
- H. Liu, X. Wang, K. Yang, L. Yin, Y. Yu. AGB 2.0: Refined Algebraic Attack against Regular Syndrome Decoding for PCG Applications. Cryptology ePrint Archive, Paper 2025/1476, 2025.Improved algebraic attack on regular syndrome decoding.
- Q. Lu, Y. Feng, Y. Pan. Solving LWE with Independent Hints about Secret and Errors. Cryptology ePrint Archive, Paper 2025/1128, 2025.Faster integration of secret and error hints into LWE lattice attacks.
- Z. Luo, Y. Yuan, Z. Wang, M. Lai, P. Lu. General integer factorization algorithm based on Ising machine. EPJ Quantum Technology, 2025.Ising-machine QUBO factoring, 22-bit integer on simulators; toy scale.
- M. Malhou, L. Perret, K. Lauter. AI for Code-based Cryptography. Selected Areas in Cryptography (SAC) 2025, 2025.Transformer-based distinguisher of Goppa and QC-MDPC codes from random codes.
- M. Mamah. Computing Quaternion Embeddings and Endomorphism rings of Supersingular Oriented Elliptic curves. Cryptology ePrint Archive, Paper 2025/186, 2025.Rigorous quaternion embedding algorithm; reduces oriented endomorphism ring problem to vectorization.
- A. May, M. Ostuzzi, H. Ressler. Just Guess: Improved (Quantum) Algorithm for the Underdetermined MQ problem. EUROCRYPT 2026, 2026.New classical/quantum underdetermined MQ algorithm reducing MAYO, QR-UOV, SNOVA forgery security.
- A. Mendelsohn, C. Grover, C. Ling. On the Security of Group Ring Learning with Errors. IACR Communications in Cryptology, 2025.Dimension-halving isomorphism attacks Group Ring LWE via central simple algebras.
- A. Meneghetti, F. Zanetti. Weak Keys in QC-MDPC-based cryptosystems via the Extended Euclidean Algorithm. Cryptography and Communications, 2026.Weak QC-MDPC keys via extended Euclid rational reconstruction; BIKE key recovery.
- C. Meyer-Hilfiger. Design and analysis of dual attacks in code- and lattice-based cryptography. (Conception et analyse d'attaques duales en cryptographie à base de codes et de réseaux). Sorbonne University, Paris, France, 2025.Thesis: improved dual decoding attacks beating ISD; dual attack analysis for lattices.
- G. R. Moghissi, A. Payandeh. Design of an Accurate BKZ Simulation. ISC Int. J. Inf. Secur., 2025.Accurate BKZ simulator design; title only.
- G. Mureau. Special Genera of Hermitian Lattices and Applications to HAWK. TCC 2025, 2025.Special genus distinguisher for Hermitian lattices; decision module-LIP for HAWK.
- K. Nakagawa, H. Onuki. Attacks on PRISM-id via Torsion over Small Extension Fields. PKC 2026, 2026.Torsion-over-small-extension attacks on PRISM-id, including attack on its isogeny hardness assumption.
- S. Narisada, H. Okada, Y. Aikawa, K. Fukushima. Refined Analysis of the Concrete Hardness of the Quasi-Cyclic Syndrome Decoding. IWSEC 2025, 2025.Refined concrete hardness of quasi-cyclic syndrome decoding; title only.
- M. C. Noval, S. Merz, P. Stählin, A. Ünal. On the Soundness of Algebraic Attacks against Code-based Assumptions. EUROCRYPT 2025, 2025.Proves soundness of algebraic RSD attacks; polytime regimes for RSD and small-error-set LWE.
- Z. Oznovich, B. L. Volk. On Deterministically Finding an Element of High Order Modulo a Composite. SODA 2026, 2026.Improved deterministic high-order-element-or-factor algorithm, building block of deterministic factoring.
- L. Panny. On breaking McEliece keys using brute force. PQCrypto 2026, 2026.Key-equivalence SSA key search; solves McEliece key-recovery challenge in about 1470 core-days.
- B. Paul, J. Julian, L. Vincent, M. Alain, H. Torsten, H. Cornelius. Practical Challenges in Executing Shor's Algorithm on Existing Quantum Platforms. arXiv, 2025.Experimental assessment of Shor factoring on current cloud quantum hardware.
- F. Pellicer. Enhanced Digitized Adiabatic Quantum Factorization Algorithm Using Null-Space Encoding. arXiv, 2025.Modified QAOA/adiabatic factoring protocol with fewer resources; toy-scale simulations.
- P. d. Perthuis, F. Trenkić. Refined Modelling of the Primal Attack, and Variants Against Module-Learning With Errors. PQCrypto 2026, 2026.Refined primal attack estimators and Module-BKZ simulator for module primal attack.
- E. Poimenidou, K. A. Draziotis. Message Recovery Attack in NTRU via Knapsack. CoRR, 2025.NTRU message recovery via knapsack formulation; title only.
- J. Pomykała, M. Jurkiewicz. Decomposition of RSA modulus applying even order elliptic curves. arXiv, 2025.Conjecturally subexponential elliptic-curve factoring algorithm.
- A. Porwal, A. Wachter-Zeh, P. Loidreau. Key Attack on the ACDGV Matrix Encryption Scheme. EUROCRYPT 2026, 2026.Key recovery on ACDGV hidden-Gabidulin matrix-code encryption; breaks some parameters.
- M. Prokop, P. Wallden. Heuristic Time Complexity of NISQ Shortest-Vector-Problem Solvers. IEEE Transactions on Quantum Engineering, 2025.Heuristic time complexity of QAOA-based SVP solvers.
- L. N. Pulles, P. Vié. Accelerating the Primal Hybrid Attack against Sparse LWE using GPUs. Cryptology ePrint Archive, Paper 2025/1990, 2025.GPU primal hybrid attack on sparse-secret LWE benchmark instances.
- D. S. C. Putranto, R. W. Wardhani, H. Kim. Enhancing Quantum Cryptanalysis of Binary Elliptic Curves Through Optimized Out-of-Place Point Addition and ECPM Integration. IEEE Access, 2023.Optimized quantum point-addition circuits for Shor on binary elliptic curves.
- H. Qu, G. Xu. On the Provable Dual Attack for LWE by Modulus Switching. ASIACRYPT 2025, 2025.Provable dual attack on LWE with modulus switching and CRT secret recovery.
- A. F. F. Quitián. Syndrome Decoding Under Posterior Leakage: Experimental and Theorical Analysis in Post-Quantum Cryptography : Comparative Analysis of Reed-Muller and Random Codes. instname:Universidad de los Andes, 2025.Syndrome decoding given noisy cold-boot posteriors; decoding with hints.
- M. Rahmani, A. Nitaj, A. Tadmori, M. Ziane. An Improved Attack on the RSA Variant Based on Cubic Pell Equation. Cryptography (MDPI), 2025.Coppersmith lattice attack improving private-exponent bounds for cubic-Pell RSA variants.
- M. Rahmani, A. Nitaj. Improved Cryptanalysis of an RSA Variant Based on Cubic Pell Curve. AFRICACRYPT 2025, 2025.Coppersmith small-private-exponent attack on cubic Pell RSA variant.
- L. Ran. Wedges, oil, and vinegar -- An analysis of UOV in the exterior algebra. EUROCRYPT 2026, 2026.Exterior-algebra key recovery on char-2 UOV lowering security of UOV and MAYO parameters.
- P. G. Rocco. Heuristic Optimization of SIQS via Bit-Density Analysis. Zenodo (CERN European Organization for Nuclear Research), 2025.Heuristic SIQS parameter tuning with modest speedup claims; Zenodo.
- K. Ryan. Solving Multivariate Coppersmith Problems with Known Moduli. EUROCRYPT 2025, 2025.Automated optimal multivariate Coppersmith lattice constructions.
- K. N. S., N. S. A. Complexity estimation of decoding problem and finding of low-weight codewords using basis reduction. Prikladnaya Diskretnaya Matematika, 2025.Code BKZ decoding complexity estimates compared to ISD variants.
- M. C. Santos, C. Costello, S. Frengley. Efficient algorithms for the detection of \((N,N)\)-splittings and endomorphisms. Journal of Cryptology, 2026.Splitting detection speeds best attack on dimension-2 superspecial isogeny problem.
- E. Saxena, A. Alfarano, F. Charton, Z. Allen-Zhu, E. Wenger, K. Lauter. Making Hard Problems Easier with Custom Data Distributions and Loss Regularization: A Case Study in Modular Arithmetic. ICML, 2025.ML training techniques for modular arithmetic improving ML attacks on sparse-secret LWE.
- M. Schaller. Polynomial Lattices for the BIKE Cryptosystem. Cryptography and Communications, 2026.Polynomial-ring lattice from BIKE public key generalizes weak-key recovery.
- A. Schmidhuber, R. O’Donnell, R. Kothari, R. Babbush. Quartic Quantum Speedups for Planted Inference. Physical Review X, 2025.Quartic quantum speedup for sparse LPN / planted noisy kXOR.
- M. Seck, O. Niang, D. Sow, A. Nitaj, M. Zheng, M. Boudabra. A New Generalized Attack on RSA-like Cryptosystems. AFRICACRYPT 2025, 2025.Continued fractions plus Coppersmith factor RSA-like moduli with weak exponents.
- M. Seck, A. A. Ciss. A New Generalized Lattice Attack Against a Family of RSA-Like Cryptosystems. Theoretical Computer Science, 2025.Coppersmith-type lattice factoring of RSA-like scheme with small or large private exponents.
- T. Shen, X. Li, L. Wang. Lower Bound on the Overlattice-Based Sieve Algorithm. Cryptography (MDPI), 2025.Lower bound showing overlattice sieving cannot beat BDGL.
- F. C. Silva, M. Lie, C. Ling. On Hull Attacks on the Module Lattice Isomorphism Problem. Cryptology ePrint Archive, Paper 2025/1376, 2025.Hull attacks on module lattice isomorphism problem; modular lattices resist.
- M. Smičík, P. Zajac. Syndrome decoding with MRHS solver. International Journal of Electronics and Telecommunications, 2025.Solving syndrome decoding via MRHS equation solver.
- D. Smith-Tone, C. Valenzuela. Cryptanalysis of the best HFE-LL' Constructions. IWSEC 2025, 2025.Key recovery on HFE-LL' internal perturbation construction.
- Y. Song, R. Chen, F. Zhang, X. Huang, J. Weng, H. Wang. (Interleaved) Extended Gabidulin Codes, More Analysis on Blockwise Rank Decoding Problem, and Their Applications to Cryptosystems. Cryptology ePrint Archive, Paper 2025/668, 2025.Blockwise puncturing speeds blockwise rank decoding attacks; also new constructions.
- B. H. Susanti, T. K. Silim, N. P. R. Adiati, M. W. Ardyani. eth Root Attack on Dual Modulus RSA. ZERO: Jurnal Sains, Matematika dan Terapan, 2025.e-th root plaintext recovery attack on dual-modulus RSA variant.
- T. Suzuki, H. Furue, T. Ito, S. Nakamura, S. Uchiyama. An Extended Rectangular MinRank Attack against UOV and Its Variants. IWSEC 2025, 2025.Extended rectangular MinRank attack framework applied to UOV variants' parameters.
- G. Teseleanu. Attacking an RSA-like Cryptosystem Using Continued Fractions and Lattices. NordSec, 2025.Continued fractions plus lattice attack factoring RSA-like n=3 variant.
- K. Toda, Y. Wang. Proposal of An SVP Solver on Prime Cyclotomic Lattices. ProvSec 2025, 2025.SVP solver exploiting prime cyclotomic lattice structure; title only.
- X. Tong, J. Bi, S. Luo, L. Wang, L. Li, L. Wang. Solving Small LWE Instances with the Dropping Meet-in-the-Middle Algorithm. 2025 IEEE 24th International Conference on Trust, Security and Privacy in Computing and Communications (TrustCom), 2025.Improved dropping meet-in-the-middle attack for sparse/small-secret LWE.
- K. Vedenev. On the Security of Two IKKR-type Code-Based Cryptosystems. Designs, Codes and Cryptography, 2025.Structural key recovery on GRS-based IKKR-type code cryptosystems.
- T. Wang, A. Wang, K. Yang, H. Liu, Y. Yu, J. Zhang et al. A Hybrid Algorithm for the Regular Syndrome Decoding Problem. ASIACRYPT 2025, 2025.Hybrid ISD/algebraic algorithm for regular syndrome decoding.
- G. Wang, W. Xia, D. Gu. Heuristic Algorithm for Solving Restricted SVP and its Applications. PQCrypto 2025, 2025.Heuristic restricted-SVP algorithm and estimator; gate-count Dilithium forgery analysis.
- Y. Wang, K. Toda. POSTER: An Efficient Sieve Algorithm for Ideal Lattices. ProvSec 2025, 2025.Poster: sieve algorithm exploiting ideal-lattice structure; title only.
- Y. Wei, L. Bi, K. Wang, X. Lu. An improved BKW algorithm on the learning with rounding problem. Cybersecurity (Springer), 2025.Improved BKW algorithm for LWR with complexity gains.
- Y. Wei, L. Bi, X. Lu, K. Wang. Memory-Efficient BKW Algorithm for Solving the LWE Problem. PKC 2025, 2025.Memory-efficient BKW for LWE with improved time-memory trade-off.
- Y. Wentao, Y. Bao, Z. Muxi, L. Quanfeng, W. Shijie, L. Gui-Lu. Space-Optimized and Experimental Implementations of Regev's Quantum Factoring Algorithm. arXiv, 2025.Space-optimized circuits for Regev's quantum factoring algorithm.
- M. Wroński, Ł. Dzierzkowski, M. Leśniak, E. Syta. One for All, All for One: Universal semi-agnostic quantum circuit for solving (Standard) Abelian Hidden Subgroup Problems. Cryptology ePrint Archive, Paper 2025/869, 2025.Universal Shor circuit; semi-agnostic ECDLP complete for standard abelian HSPs.
- W. Z. Y. Xavier. Study of post-quantum algorithms (Kyber). DR-NTU (Nanyang Technological University), 2025.Student project running primal LLL/BKZ attack on Kyber parameter sets.
- W. Xia, W. v. Woerden, G. Wang, D. Gu. A Practical Randomized Nearest-Colattice Framework for Arbitrary Norms. Cryptology ePrint Archive, Paper 2025/1176, 2025.Randomized nearest-colattice approximate CVP algorithm with estimator and G6K implementation.
- J. Xu, J. Song, L. Hu. New Results on the φ-Hiding Assumption and Factoring Related RSA Moduli. CRYPTO 2025, 2025.Attacks on phi-hiding and factoring related RSA moduli; title only.
- J. Yamaguchi, T. Izu, N. Kunihiro. Experimental Analysis of the Optimization-Based Factorization Algorithm. ICISC 2024, 2024.Experimental analysis of optimization-based (Schnorr-type) factoring algorithm.
- X. Yang, W. Zeng, R. Xiong, W. Ren, X. Zheng. A PSO-Based Method for Finding Approximately Optimal Order for LLL Algorithm. WASA (3), 2025.PSO search for basis ordering to improve LLL reduction.
- T. Yang, M. Xiong, M. Xue, X. Li, J. Li. Improving adiabatic quantum factorization via chopped random-basis optimization. Physical Review A, 2025.Improved adiabatic quantum factoring algorithm via CRAB optimization; toy integers.
- B. Yerzhan, N. Ruslan. Notes on the generalized Gauss reduction algorithm. Eurasian Mathematical Journal, 2025.Notes on generalized Gauss 2D lattice reduction algorithm; reduction-algorithm work per v0.3.4.
- W. Yijin. Accelerating Floating-Point Lattice Reduction: A Preprocessing Block Reduction Framework. Institutional repository, 2025.Block preprocessing framework accelerating floating-point LLL/BKZ reduction.
- H. O. Zadeh. Investigating the performance of Fermat and Phi factorisation. University of Debrecen Electronic Archive (University of Debrecen), 2025.Experimental comparison of Fermat and Phi factorization variants; minor.
- J. Zeng, M. Zheng, H. Li, S. Wei, G. Long. Analysis of learning with errors problems with variational quantum algorithms. Europhysics Letters, 2025.Variational quantum algorithms for LPN/LWE with resource scaling analysis.
- L. Zhao, C. Tian, J. Bi, G. Xu, J. Yu. Algorithms for the Shortest Vector Problem in 2-dimensional Lattices, Revisited. CoRR, 2025.Faster 2-dimensional lattice reduction/SVP algorithms (v0.3.4 rule).
- Z. Zhao, J. Ding, B. Yang. Sieving with Streaming Memory Access. CHES / TCHES 2025, 2025.Memory-efficient BGJ sieve; solved 183-dim SVP challenge with stated resources.Same work as eprint:2024-739; counted there, weight 0 here.
- M. Zheng, A. Nitaj. A Novel Partial Key Exposure Attack on Common Prime RSA. AFRICACRYPT 2025, 2025.Lattice partial key exposure attack on common prime RSA; Coppersmith-style.
- M. Zheng. New lattice-based partial key exposure attacks on common prime RSA. Journal of Cryptographic Engineering, 2025.Lattice partial key exposure attacks on common prime RSA.
- M. Zheng, J. Zeng, W. Yang, P. Chang, Q. Lu, B. Yan et al. Quantum-classical hybrid algorithm for solving the learning-with-errors problem on NISQ devices. Communications Physics, 2025.Quantum-classical Ising-based LWE solver via SVP; tiny NISQ demonstration.
- Y. Zhu, C. Lv, J. Liu. Utilizing two subfields to accelerate individual logarithm computation in extended tower number field sieve. Designs, Codes and Cryptography, 2025.Faster individual logarithm step in extended tower NFS.
- W. Zou, B. Martin, T. Prévost. Public-key Cryptography Attacks Using Adiabatic Quantum Computer. Cryptology ePrint Archive, Paper 2025/866, 2025.QUBO/Ising annealing formulation of factoring, classically simulated; weak but on-topic.
2024154 items2024.bib
- M. Adamoudis, K. A. Draziotis, E. Poimenidou. Towards Message Recovery in NTRU Encryption with Auxiliary Data. NuTMiC 2024, 2024.NTRU message recovery given auxiliary data (hints).
- M. Aifer, E. Sheldon. Elliptic Curves in Continuous-Variable Quantum Systems. arXiv, 2024.Continuous-variable quantum EC point addition aimed at cheaper quantum ECDLP.
- Y. Ajani, C. Bright. SAT and Lattice Reduction for Integer Factorization. ISSAC 2024, 2024.SAT plus lattice reduction for factoring given partially known prime bits.
- Akshima, T. Besselman, S. Guo, Z. Xie, Y. Ye. Tight Time-Space Tradeoffs for the Decisional Diffie-Hellman Problem. STOC 2024, 2024.Tight generic time-space lower bound for preprocessing DDH.
- M. R. Albrecht, J. Rowell. Scaling Lattice Sieves across Multiple Machines. IACR Communications in Cryptology, 2024.Distributed multi-machine lattice sieve implementation.
- F. Ambroise. Improvement of sieving algorithms. Application to integer factorization. University of Paris-Saclay, France, 2024.Thesis improving NFS sieving strategy for factoring.
- S. Arpin, J. Clements, P. Dartois, J. K. Eriksen, P. Kutas, B. Wesolowski. Finding orientations of supersingular elliptic curves and quaternion orders. Designs, Codes and Cryptography, 2024.Algorithms and hardness relations for finding orientations/endomorphisms of supersingular curves.
- H. A. Aswad. The Discrete Logarithm Problem in Finite Fields with Extensions. Dissertation (Agence Bibliographique de l'Enseignement Supérieur), 2024.Thesis with NFS-variant algorithms for DLP in extension fields.
- S. Bai, H. Jangir, T. Ngo, W. Youmans. An algebraic algorithm for breaking NTRU with multiple keys. Designs, Codes and Cryptography, 2024.Algebraic algorithm breaking NTRU given multiple keys.
- A. O. Bakharev. A New Quantum Oracle Model for a Hybrid Quantum-Classical Attack on Post-Quantum Lattice-Based Cryptosystems. Journal of Applied and Industrial Mathematics, 2024.Quantum oracle for Grover-GaussSieve SVP attack, costed against NIST lattice finalists.
- S. Balny, C. Delaplace, G. Dequen. Another L makes it better? Lagrange meets LLL and may improve BKZ pre-processing. ALENEX, 2025.New LLL variant L4 improving BKZ preprocessing.
- H. Bambury, P. Q. Nguyen. Improved Provable Reduction of NTRU and Hypercubic Lattices. PQCrypto 2024, 2024.Provable blocksize halving for near-hypercubic lattices including NTRU and Falcon.
- R. Barbulescu, M. Barcau, V. Pasol. A comprehensive analysis of Regev's quantum algorithm. Cryptology ePrint Archive, Paper 2024/1758, 2024.Analysis of Regev's quantum algorithm, extension to ECDLP, success conditions.
- D. J. Bernstein. Asymptotics for the standard block size in primal lattice attacks: second order, formally verified. Cryptology ePrint Archive, Paper 2024/592, 2024.Second-order asymptotics of primal-attack block size in standard estimate recipe.
- W. Beullens, P. Briaud, M. Øygarden. A Security Analysis of Restricted Syndrome Decoding Problems. IACR Communications in Cryptology, 2024.Collision attack on R-SDP(G) and precise algebraic attack estimates for R-SDP.
- B. Biasioli, E. Kirshanova, C. Marcolla, S. Rovira. A Tool for Fast and Secure LWE Parameter Selection: the FHE case. Journal of Cryptology, 2024.Derives lattice attack cost expressions and parameter-selection tool for LWE, focused on FHE.
- S. Biswas, I. Gupta, D. Bera. On the Comparative Study of Recent Information Set Decoding (ISD) Attacks for QC-LDPC Code-Based McEliece Cryptosystem. 2024 IEEE International Conference on Public Key Infrastructure and its Applications (PKIA), 2024.ISD cost comparison and parameter update for LEDAcrypt.
- J. Cai. Shor’s algorithm does not factor large integers in the presence of noise. Sci. China Inf. Sci., 2024.Proves Shor's factoring fails under small random gate noise; negative quantum result.
- A. Caminata, R. Cartor, A. Meneghetti, R. Mora, A. Pellegrini. Quadratic Modelings of Syndrome Decoding. PQCrypto 2025, 2025.Quadratic polynomial modelings of syndrome decoding with Groebner complexity analysis.
- J. Cao, Q. Cheng, J. Weng. Optimizing c-sum BKW and Faster Quantum Variant for LWE. IACR Communications in Cryptology, 2024.Improved c-sum BKW time-memory trade-offs for LWE, classical and quantum.
- R. Cao, B. Wang, J. Gao. Quantum Nested Search for Lattice Enumeration. Research Square, 2024.Quantum nested search speedup for pruned lattice enumeration.
- K. Carrier, Y. Shen, J. Tillich. Faster Dual Lattice Attacks by Using Coding Theory. IACR Cryptology ePrint Archive, 2022.Dual lattice attack with coding-theory decoding; improves Kyber/Saber estimates.
- G. Cavicchioni, A. Meneghetti, G. Tognolini. Information Set Decoding for Ring-Linear Codes. Designs, Codes and Cryptography, 2026.ISD framework for ring-linear codes in Hamming, Lee and rank metrics.
- S. Chee, K. C. Jeong, T. Lange, N. Lee, A. Pellegrini, H. Ryu. Analysis of Layered ROLLO-I: A BII-LRPC code-based KEM. IACR Communications in Cryptology, 2024.Rank-decoding reductions and message recovery attacks on Layered ROLLO-I.
- Y. Chen. Quantum Algorithms for Lattice Problems. Cryptology ePrint Archive, Paper 2024/555, 2024.Claimed polynomial-time quantum LWE algorithm; later withdrawn after bug found.
- C. Chevignard, P. Fouque, G. Mureau, A. Pellet-Mary, A. Wallet. A reduction from Hawk to the principal ideal problem in a quaternion algebra. EUROCRYPT 2025, 2025.Reduces rank-2 module-LIP/Hawk to quaternion principal ideal problem; structural attack path.
- C. Chevignard, P. Fouque, A. Schrottenloher. Reducing the Number of Qubits in Quantum Factoring. CRYPTO 2025, 2025.Quantum factoring and DLP with n/2 qubits; RSA-2048 resource estimates.
- C. Chevignard, P. Fouque, A. Schrottenloher. Reducing the Number of Qubits in Quantum Information Set Decoding. ASIACRYPT 2024, 2024.Qubit-reduced quantum Prange ISD; estimate for smallest Classic McEliece.
- J. Cho, D. Shin, Y. Hwang, H. Kim. Analyze Shor Algorithm Optimization Trends and Suggest Optimization Directions. 2024 International Conference on Platform Technology and Service (PlatCon), 2024.Review of Shor circuit optimizations with proposed adder improvement.
- B. Cho, M. Hhan, T. Kim, J. Lee, Y. Shen. Does quantum lattice sieving require quantum RAM? Cryptology ePrint Archive, Paper 2024/1700, 2024.Lower bounds on quantum sieving with bounded QRAM; QRAM-free circuit.
- S. Cho, S. Seo. Quantum rectangular MinRank attack on multi-layer UOV signature schemes. Scientific Reports, 2024.Quantum rectangular MinRank key recovery for multi-layer UOV with resource estimates.
- G. D'Alconzo, A. Esser, A. Gangemi, C. Sanna. Sneaking up the Ranks: Partial Key Exposure Attacks on Rank-Based Schemes. Designs, Codes and Cryptography, 2025.Partial key exposure on rank signatures; also improves generic RYDE attack by 9 bits.
- D. Das, A. Joux. Key Recovery Attack on the Partial Vandermonde Knapsack Problem. EUROCRYPT 2024, 2024.Key recovery on Partial Vandermonde knapsack via structure-based dimension reduction; weak keys in published parameters.
- X. Deng, H. Jia. A New Self-dual BKZ Algorithm Based on Lattice Sieving. Frontiers in Cyber Security, 2024.New self-dual BKZ based on sieving.
- J. F. Doriguello, G. Giapitzakis, A. Luongo, A. Morolia. On the practicality of quantum sieving algorithms for the shortest vector problem. PQCrypto 2026, 2026.Fault-tolerant resource estimates for Grover-aided lattice sieving; little quantum speedup.
- V. Dossou-Yovo, A. Nitaj, A. Togbé. Improved cryptanalysis of RSA. Journal of Discrete Mathematical Sciences and Cryptography, 2024.Improved bounds for factoring RSA moduli from small solutions, beating Wiener/Blomer-May.
- Ł. Dzierzkowski, M. Wroński. Solving Elliptic Curve Discrete Logarithm Problem on Twisted Edwards Curves Using Quantum Annealing and Index Calculus Method. Tatra Mountains Mathematical Publications, 2024.Quantum annealing for index-calculus relation search on twisted Edwards ECDLP; toy field.
- L. Dzierzkowski. The generalized method of solving ECDLP using quantum annealing. CoRR, 2024.General QUBO encoding of ECDLP for quantum annealing.
- M. Ekerå, J. Gärtner. Extending Regev's Factoring Algorithm to Compute Discrete Logarithms. PQCrypto 2024, 2024.Extends Regev's quantum factoring algorithm to discrete logarithms.
- L. Engelberts, S. Etinski, J. Loyer. Quantum Sieving for Code-Based Cryptanalysis and Its Limitations for ISD. Designs, Codes and Cryptography, 2025.Quantum code-sieving algorithms for ISD and limits of quantum sieving-ISD.
- J. K. Eriksen, A. Leroux. Computing Orientations from the Endomorphism Ring of Supersingular Curves and Applications. IACR Communications in Cryptology, 2024.Algorithms computing orientations; improves fixed-degree isogeny computation and vectorization reductions.
- Y. Feng, H. Luo, Q. Chen, A. Nitaj, Y. Pan. Computing Asymptotic Bounds for Small Roots in Coppersmith's Method via Sumset Theory. CRYPTO 2025, 2025.Provable algorithm for Coppersmith asymptotic bounds; improves CI-HNP cryptanalysis.
- Y. Feng, A. Nitaj, Y. Pan. Partial prime factor exposure attacks on some RSA variants. Theoretical Computer Science, 2024.Partial prime factor exposure lattice attacks on RSA variants.
- Y. Feng, Z. Liu, A. Nitaj, Y. Pan. Practical Small Private Exponent Attacks against RSA. Cryptology ePrint Archive, Paper 2024/1331, 2024.Practical Boneh-Durfee-style small private exponent attack reaching N^0.292.
- A. Fleury. Amélioration des algorithmes de crible. Application à la factorisation des entiers. (Improvement of sieving algorithms. Application to integer factorization). University of Paris-Saclay, France, 2024.Thesis improving NFS sieving strategies for integer factorization.Same work as openalex:W4415110892; counted there, weight 0 here.
- R. Frot, D. Zentai. A new attack against search-LWE using Diophantine approximations. Cryptology ePrint Archive, Paper 2024/787, 2024.Search-LWE attack for small secrets via Diophantine approximation and lattice reduction.
- H. Furue, Y. Ikematsu. A New Cryptanalysis Against UOV-Based Variants MAYO, QR-UOV and VOX. IEICE Transactions, 2025.Rectangular MinRank attack on MAYO, QR-UOV and VOX; breaks VOX parameters.
- G. Gaggero, E. Gorla. The complexity of solving a random polynomial system. Cryptology ePrint Archive, Paper 2024/1924, 2024.Degree-of-regularity bound for random polynomial systems; Groebner complexity.
- N. Gassner, J. Lieb, A. Mazumder, M. Schaller. Information-set decoding for convolutional codes. Designs, Codes and Cryptography, 2025.ISD framework for convolutional codes, attacking two convolutional McEliece schemes.
- H. Guo, J. Ding. A Practical MinRank Attack Against VOX. Cryptology ePrint Archive, Paper 2024/166, 2024.New padded MinRank attack breaking VOX parameter sets in minutes to hours.
- T. Guo. Using Larger Wheel to Accelerate the Trial Division Algorithm in Integer Factorization Method ToolBox. 2024 7th International Conference on Computer Information Science and Application Technology (CISAT), 2024.Larger wheel speeds trial division subroutine; marginal factoring improvement.
- J. Ha, J. Lee, J. Heo. Resource analysis and modifications of quantum computing with noisy qubits for elliptic curve discrete logarithms. Scientific Reports, 2024.Physical-qubit and runtime estimates for Shor ECDLP with surface codes.
- J. Hales, G. A. Hiary. A generalization of Lehman’s method. The Ramanujan Journal, 2024.Deterministic factoring algorithms generalizing Lehman for r-th power divisors.
- Y. Hao, W. Huang, Z. Zhang, W. Zhao, J. Peng, Y. Liao. Dynamically Expanding Factor Base of Index Calculus Algorithm to Solve Massive Discrete Logarithm Problems Faster. SecureComm (2), 2024.Dynamic factor base expansion for index calculus over many DLP instances.
- F. A. Harahap, Y. Yusfrizal, M. Sovina, I. Lazuly. Cryptanalysis of RSA Using Algebraic and Lattice Methods. Journal of Artificial Intelligence and Engineering Applications (JAIEA), 2024.Lattice attacks on RSA: partial key exposure and d < N^0.292 (rehash of known work).
- M. Hhan. A New Approach to Generic Lower Bounds: Classical/Quantum MDL, Quantum Factoring, and More. EUROCRYPT 2025, 2025.Generic classical/quantum lower bounds for DL variants, order finding, generic factoring, index calculus.
- J. HU. Implementation analysis of index calculus method on elliptic curves over prime finite fields. Cryptology ePrint Archive, Paper 2024/1923, 2024.Analyzes index calculus for prime-field ECDLP; proposes pseudo-index calculus.
- G. Hu, Y. Pan, R. Liu. On the SVP for low-dimensional circulant lattices. J. Comb. Optim., 2024.SVP in low-dimensional circulant lattices exploiting cyclic structure; title only.
- W. Huang, Z. Zhang, W. Zhao, J. Peng, Y. Liao, Y. Wang. Double Index Calculus Algorithm: Faster Solving Discrete Logarithm Problem in Finite Prime Field. CoRR, 2024.Title-only: double index calculus algorithm for prime-field DLP.
- Y. Ikematsu, R. Akiyama. Revisiting the security analysis of SNOVA. APKC@AsiaCCS, 2024.Key recovery analysis showing some SNOVA parameters miss claimed security levels.
- K. Jang, Y. Oh, H. Seo. Depth-Optimized Quantum Circuit of Gauss–Jordan Elimination. Applied Sciences, 2024.Depth-optimized quantum Gauss-Jordan circuit for Grover-accelerated ISD.
- D. Jao, J. Laflamme. Isogeny interpolation and the computation of isogenies from higher dimensional representations. INDOCRYPT 2024, 2024.General-prime implementation of Castryck-Decru isogeny interpolation attack with benchmarks.
- S. Jaques. Memory adds no cost to lattice sieving for computers in 3 or more spatial dimensions. IACR Communications in Cryptology, 2024.Sieving in spatial-locality memory cost model; revised Kyber/Dilithium bit security.
- Z. Jiang, Y. Zhou, Y. Liu. New partial key exposure attacks on RSA with additive exponent blinding. Cybersecurity (Springer), 2024.Coppersmith partial key exposure attacks on RSA with additive exponent blinding.
- A. Jindal, S. Kumar, A. Jatain. Analysis of Pollard Rho Attacks Over ECDLP. Machine Intelligence for Research and Innovations, 2024.Title-only analysis of Pollard rho attacks on ECDLP.
- A. Kalam, S. Sarkar, W. Meier. A Combinatorial Attack on Ternary Sparse Learning with Errors (sLWE). Cryptology ePrint Archive, Paper 2024/2007, 2024.Combinatorial MITM attack on bounded-secret sparse LWE with concrete estimates.
- S. Kandii, І. Горбенко. Assessing the influence of the algebraic structure of q-ary lattices on the complexity of cryptanalysis of problems on lattices. Radiotekhnika, 2024.Evaluates reduction simulators, decoding/embedding attack parameters, SIS estimates for Dilithium.
- H. Kang, M. Zheng. Generalized Cryptanalysis of Cubic Pell RSA. Inscrypt 2024, 2024.Coppersmith lattice attack factors cubic Pell RSA modulus under generalized key equation.
- A. Karenin, E. Kirshanova. Finding Dense Submodules with Algebraic Lattice Reduction. AFRICACRYPT 2024, 2024.Algebraic Pataki-Tural lemma and dense submodule discovery for overstretched module-NTRU.
- R. Kato, T. Manabe, S. Kanzawa, S. Huda, Y. Kodera, T. Kusaka et al. Reducing Fruitless Cycles in Pollard's Rho Method with SFM for Efficient ECDLP Attacks on BN Curves. 2024 International Technical Conference on Circuits/Systems, Computers, and Communications (ITC-CSCC), 2024.Fruitless cycle reduction for rho with skew Frobenius on BN curves.
- M. Kim, P. Kim. Assessing the feasibility of quantum learning algorithms for noisy linear problems. Scientific Reports, 2024.Quantum-sample algorithms for LWE, RLWE and SIS reexamined; extends QFT approach to RLWE.
- H. Kim, K. Jang, A. Baksi, S. Chakraborty, H. Seo. Concrete Quantum Cryptanalysis of Shortest Vector Problem. IEEE Access, 2026.Quantum circuits and resource estimates for NV sieve solving SVP.
- J. Kim, C. Lee. Reduce and Prange: Revisiting Prange's ISD for Solving LPN/RSD over Large Fields. IEEE Transactions on Information Theory, 2024.Reduce-and-Prange ISD improvement for SD/RSD over large fields.
- E. Kirshanova, C. Marcolla, S. Rovira. Guidance for Efficient Selection of Secure Parameters for Fully Homomorphic Encryption. AFRICACRYPT 2024, 2024.Closed-form secure parameter formulas for FHE derived from LWE attack costs.
- M. Kistaiev, A. Fesenko. Reduction of SVP to Finding the Hamiltonian's Ground State and QAOA Circuit Complexity Analysis. 2024 IEEE 5th International Conference on Advanced Trends in Information Theory (ATIT), 2024.New SVP-to-Hamiltonian reduction for QAOA with qubit/gate resource analysis.
- T. Köppl, R. Zander, N. Tcholtchev. Resilience of lattice-based Cryptosystems to Quantum Attacks. 2024 IEEE Symposium on Computers and Communications (ISCC), 2024.Testing quantum LWE solvers on reduced FIPS 203 keys; preliminary methodology.
- G. Kuldeep, R. H. Jacobsen. Revisiting Fermat's Factorization Method. Cryptology ePrint Archive, Paper 2024/1722, 2024.Modified Fermat factoring algorithm with fewer iterations; minor improvement.
- S. Kumagai, S. Kanzawa, S. Huda, Y. Kodera, Y. Nogami. Investigating Vulnerabilities in RSA-like Cryptosystems Through Lattice-based Attacks on Small Exponent Keys. 2024 International Conference on Consumer Electronics - Taiwan (ICCE-Taiwan), 2024.Title: lattice attacks on small-exponent keys in RSA-like systems.
- V. Kumar, A. Raya, A. K. Gangopadhyay, S. Gangopadhyay. Dimension Reduction Attack on Noncommutative Group Ring NTRU Over the Dihedral Group. 2024 1st International Conference On Cryptography And Information Security (VCRIS), 2024.Extends Gentry dimension-reduction lattice attack to dihedral group-ring NTRU.
- E. Lee, J. Lee, Y. Son, Y. Wang. Improved Meet-LWE Attack via Ternary Trees. Cryptology ePrint Archive, Paper 2024/824, 2024.Ternary-tree Meet-LWE improves ternary-secret LWE attacks; lowers SMAUG-T estimates.
- P. Li, J. Ding. Cryptanalysis of the SNOVA signature scheme. PQCrypto 2024, 2024.Shows SNOVA parameter sets fall below claimed NIST security levels.
- P. Li. On Classes of Algorithms and a Meta-Algorithm for Solving the LPN Problem. 2024 IEEE 2nd International Conference on Control, Electronics and Computer Technology (ICCECT), 2024.Classifies LPN algorithms and proposes composite solver; low-tier venue.
- Q. Lin, F. Liu. A comment on "Comparing the MOV and FR reductions in elliptic curve cryptography" from EUROCRYPT'99. Cryptology ePrint Archive, Paper 2024/538, 2024.Concrete cost of MOV reduction and DLP for supersingular curves from 1999 paper.
- M. Lu, J. Yang. Memory-Sample Lower Bounds for LWE. CRYPTO 2024, 2024.Memory-sample lower bounds for learning LWE.
- J. Macula, K. E. Stange. Extending class group action attacks via sesquilinear pairings. ASIACRYPT 2024, 2024.Sesquilinear pairings on oriented curves extend class group action attacks.
- N. Murru, G. Salvatori. Integer Factorization via Continued Fractions and Quadratic Forms. arXiv, 2024.New SQUFOF-based subexponential factoring algorithm.
- S. Nakamura, Y. Tani, H. Furue. Lifting approach against the SNOVA scheme. IEICE Transactions, 2025.Lifting reduces SNOVA to smaller UOV over extension; exploits ring structure.
- S. Narisada, S. Uemura, H. Okada, H. Furue, Y. Aikawa, K. Fukushima. Solving McEliece-1409 in One Day --- Cryptanalysis with the Improved BJMM Algorithm. ISC (Information Security Conference) 2024, 2024.GPU depth-2 BJMM solves McEliece-1409 challenge; round-4 candidate analysis.
- I. Ng. Upper bounding the quantum space complexity for computing class group and principal ideal problem. Quantum Information & Computation, 2024.Quantum space bounds for class group and principal ideal problem algorithms (ideal-lattice attacks).
- N. Nolte, M. Malhou, E. Wenger, S. Stevens, C. Y. Li, F. Charton et al. The cool and the cruel: separating hard parts of LWE secrets. AFRICACRYPT 2024, 2024.Low-memory statistical attack on sparse binary LWE secrets after lattice reduction.
- S. A. Novoselov. On Approx-SVP in Multiquadratic Ideal Lattices. INDOCRYPT 2024, 2024.Approx-SVP in multiquadratic ideal lattices exploiting structure.
- B. A. O. Research of \(k\)-sieve algorithm for solving the shortest vector problem in a lattice. Prikladnaya Diskretnaya Matematika, 2024.New time-memory trade-off for 8-sieve SVP algorithm.
- R. Ohashi, H. Onuki. An efficient collision attack on Castryck-Decru-Smith’s hash function. PQCrypto 2025, 2025.Collision attack exploiting special start vertex of CDS genus-2 isogeny hash.
- A. Overmars, S. Venkatraman. Continued Fractions Applied to the One Line Factoring Algorithm for Breaking RSA. J. Cybersecur. Priv., 2024.Continued-fraction variant of Hart one-line factoring; weak method but factoring algorithm.
- Y. Pan, R. Jiang, B. Pei, G. Chen. Pump-BSKZ: A Novel Sieve Algorithm to Solve Shortest Vector Problem. 2024 7th International Conference on Computer Information Science and Application Technology (CISAT), 2024.New sieving-based BKZ variant for approximate SVP, tested on Darmstadt challenges.
- F. Paradise, K. A. Sugeng. Polynomial equation in algebraic attack on NTRU-HPS and NTRU-HRSS. ITM Web of Conferences, 2024.Polynomial-system modelling toward algebraic attack on NTRU-HPS/HRSS; preliminary.
- S. Perriello, A. Barenghi, G. Pelosi. Quantum Circuit Design for the Lee-Brickell Based Information Set Decoding. ACNS 2024, 2024.Quantum circuit design for Lee-Brickell ISD.
- P. Pébereau. Singular points of UOV and VOX. EUROCRYPT 2025, 2025.Singular-point attack on UOV-hat-plus and VOX lowering security below NIST targets.
- P. Pébereau. Subfield attack: leveraging composite-degree extensions in the Quotient Ring transform. Cryptology ePrint Archive, Paper 2024/196, 2024.Subfield attack on VOX quotient-ring transform breaking several parameter sets.
- C. Pilatte. Unconditional correctness of recent quantum algorithms for factoring and computing discrete logarithms. Cryptology ePrint Archive, Paper 2024/629, 2024.Unconditional correctness proof for Regev's quantum factoring/DL algorithm.
- A. Pouly, Y. Shen. Discrete gaussian sampling for BKZ-reduced basis. PQCrypto 2025, 2025.MCMC Gaussian sampling cost on BKZ bases improving dual-attack complexity on LWE.
- A. Pouly, Y. Shen. Smoothing Parameter and Shortest Vector Problem on Random Lattices. IACR Cryptology ePrint Archive, 2024.Smoothing bound yields 2^n/2 approx-SVP algorithm on random lattices.
- A. Pouly, Y. Shen. Solving the Shortest Vector Problem in \(2^{0.63269n+o(n)}\) time on Random Lattices. EUROCRYPT 2026, 2026.Provable SVP in 2^0.63269n on random lattices via smoothing-parameter bounds.
- M. Prokop, P. Wallden, D. Joseph. Grover's oracle for the Shortest Vector Problem and its application in hybrid classical-quantum solvers. CoRR, 2024.Grover oracle for SVP with concrete quantum costs, hybrid with BKZ.
- D. S. C. Putranto, R. W. Wardhani, J. Cho, H. Kim. ECPM Cryptanalysis Resource Estimation. WISA, 2024.Quantum resource estimates for Shor point multiplication circuits on binary elliptic curves.
- S. K. R, L. P. K, S. R. M. Krishna. An improved cryptanalysis of multi-prime RSA with specific forms of decryption exponent. Cryptologia, 2024.Jochemsz-May lattice attacks on multi-prime RSA with special exponents.
- S. Ragavan. Regev Factoring Beyond Fibonacci: Optimizing Prefactors. Journal of Cryptology, 2026.Optimized space-efficient Regev quantum factoring circuits.
- L. Ran, M. Trimoska. Shifting our knowledge of MQ-Sign security. PQCrypto 2025, 2025.Exploits row-shift structure of MQ-Sign-LR for preimages.
- H. RANDRIAMBOLOLONA. The syzygy distinguisher. EUROCRYPT 2025, 2025.Subexponential syzygy distinguisher for alternant/Goppa codes incl. Classic McEliece.
- A. Raya, V. Kumar, A. K. Gangopadhyay, S. Gangopadhyay. Giant Does NOT Mean Strong: Cryptanalysis of BQTRU. PQCrypto 2025, 2025.Gentry-style structural lattice attack breaking BQTRU NTRU variant over quaternions.
- B. Razvan, J. Florent. ECM and the Elliott-Halberstam conjecture for quadratic fields. Acta Arithmetica, 2024.Rigorous smoothness of EC group orders underpinning ECM analysis, DL splitting application.
- O. Regev. An Efficient Quantum Factoring Algorithm. Journal of the ACM, 2024.Regev's multidimensional quantum factoring algorithm.
- L. Robert, P. W. Shor. A New Class of Algorithms for Finding Short Vectors in Lattices Lifted from Co-dimension \(k\) Codes. arXiv, 2024.New short-vector algorithms for q-ary code lattices.
- O. M. Robinson. Higher Dimensional Sieving in a Box for Discrete Logarithm in Medium Characteristic Finite Fields using the Number Field Sieve. Institutional repository, 2024.Higher-dimensional NFS sieving and new descent for medium-characteristic DLP, with record computations.
- W. N. A. Ruzai, N. N. A. Rahman, M. A. Asbullah. Another Look at the Security Analysis of the Modulus N = p2q by Utilizing an Approximation Approach for ϕ(N). Punjab University Journal of Mathematics, 2024.LLL-based simultaneous factorization of N=p^2q moduli with small exponents.
- W. N. A. Ruzai, Y. Ying, K. N. Muhammad, M. A. Asbullah, M. R. K. Ariffin. Concurrent factorization of RSA moduli via weak key equations. AIMS Mathematics, 2024.Concurrent factoring of RSA moduli with weak key equations via Coppersmith.
- W. N. A. Ruzai, M. R. K. Ariffin, M. A. Asbullah, A. H. A. Ghafar. New simultaneous Diophantine attacks on generalized RSA key equations. J. King Saud Univ. Comput. Inf. Sci., 2024.Simultaneous Diophantine lattice attack factoring multiple RSA moduli with related key equations.
- N. Salleh, H. Kamarulhaili. On the Properties of Reduced Basis Related to Lattice-Reduced Algorithm. Malaysian Journal of Mathematical Sciences, 2024.Properties of LLL-reduced bases for varying delta; reduction-algorithm analysis.
- A. Sato, A. Auzemery, A. Katayama, M. Yasuda. Experimental Analysis of Integer Factorization Methods Using Lattices. IWSEC 2024, 2024.Experimental analysis of lattice-based factoring methods; title only.
- A. M. C. Silva, T. d. R. Sousa, T. S. Neto. Cutting dimensions in the LLL attack for the ETRU post-quantum cryptosystem. Anais do XXIV Simpósio Brasileiro de Segurança da Informação e de Sistemas Computacionais (SBSeg 2024), 2024.Dimension-reduced lattice key recovery on ETRU NTRU variant.
- S. P. Singh, B. K. Chaurasia, T. Tripathi, S. Gupta, A. Pal. Attack on Shortest Vector Problem of Lattice Using Machine Learning. Proceedings of the Fifth International Conference on Trends in Computational and Cognitive Engineering, 2024.Title only: machine-learning attack on SVP; low-tier venue.
- S. P. Singh, B. K. Chaurasia, T. Tripathi, A. Pal, S. Gupta. Attack on lattice shortest vector problem using K-Nearest Neighbour. Iran J. Comput. Sci., 2024.SVP attack using k-nearest-neighbour heuristic.
- K. Song, Y. A. Seo. A Study on the Average Number of LLL-based Using Statistical Learning. International Journal on Advanced Science, Engineering and Information Technology, 2024.Approximating average number of LLL bases; average-case analysis of reduction.
- Z. Song, J. Xu, B. Xiang, W. Li, D. Ye. New Result for Breaking NTRU Encryption with Multiple Keys in Polynomial Time. ICICS 2024, 2024.Polynomial-time attack on NTRU encryption under multiple keys (title only).
- G. Song, H. Seo. Quantum Circuit for Curve25519 with Fewer Qubits. ICISC 2024, 2024.Qubit-reduced quantum circuit for Curve25519 arithmetic for Shor ECDLP.
- T. d. R. Sousa, T. S. Neto. Lattice Base Reduction Attack on Matrix NTRU. Anais do XXIV Simpósio Brasileiro de Segurança da Informação e de Sistemas Computacionais (SBSeg 2024), 2024.Lattice-reduction plaintext recovery attack on Matrix NTRU variant.
- M. J. Steiner. The Complexity of Algebraic Algorithms for LWE. EUROCRYPT 2024, 2024.Complexity of Arora-Ge/Groebner basis algebraic attacks on LWE, including hints.
- S. Stevens, E. Wenger, C. Y. Li, N. Nolte, E. Saxena, F. Charton et al. SALSA FRESCA: Angular Embeddings and Pre-Training for ML Attacks on Learning With Errors. Trans. Mach. Learn. Res., 2025.Improved ML attacks on sparse binary-secret LWE up to n=1024 (HE parameters).
- R. Taguchi, A. Takayasu. On the Untapped Potential of the Quantum FLT-based Inversion. ACNS 2024, 2024.Fewer qubits for quantum FLT inversion in Shor on binary ECDLP.
- E. Talotti, M. Paier, M. Miculan. ECC’s Achilles’ Heel: Unveiling Weak Keys in Standardized Curves. ITASEC, 2024.Weak private keys lying in small subgroups on standardized curves.
- G. Teseleanu. A Lattice Attack Against a Family of RSA-like Cryptosystems. CSCML, 2024.Coppersmith-style lattice attack on RSA-like key equation recovers d and factors N.
- G. Teseleanu. Another Lattice Attack Against an RSA-like Cryptosystem. SECITC 2024, 2024.Studies applicability of lattice small-key attacks on Roman'kov RSA-like scheme.
- G. Teseleanu. Partial Exposure Attacks Against a Family of RSA-like Cryptosystems. Cryptography (MDPI), 2024.Coppersmith-style partial key exposure attacks factoring RSA-like variant moduli.
- S. Tian, C. Lv. Finding Generators of Ideals in Non-Cyclic Number Fields by Using Norm Relations. 2024 8th International Conference on Cryptography, Security and Privacy (CSP), 2024.Subfield attack on principal ideal problem via norm relations.
- V. S. Usatyuk, S. I. Egorov. Heuristic Number Geometry Method for Finding Low-Weight Codeword in Linear Block Codes. 2024 26th International Conference on Digital Signal Processing and its Applications (DSPA), 2024.Lattice-heuristic low-weight codeword search topping challenge (weight 212, n=1280) with hardware/time.
- R. C. Villena, R. Terada. Recovery of the secret on Binary Ring-LWE problem using random known bits - Extended Version. J. Internet Serv. Appl., 2024.Binary Ring-LWE secret recovery given random known coefficient hints.
- L. Wang, C. Chou, J. Ding, Y. Kuan, J. A. Leegwater, M. Li et al. A Note on the SNOVA Security. Cryptology ePrint Archive, Paper 2024/1517, 2024.Argues Beullens forgery on SNOVA is avoidable; defends parameters.
- L. Wang. Analyzing Pump and jump BKZ algorithm using dynamical systems. PQCrypto 2024, 2024.Dynamical-systems provable bounds for pump-and-jump BKZ.
- R. W. Wardhani, D. S. C. Putranto, J. Cho, H. Kim. A Highly Efficient ECPM Quantum Circuit for Binary Elliptic Curve Cryptanalysis. IEEE Access, 2023.Quantum point-multiplication circuit for Shor on binary curves.
- Z. D. Welch. A Collection of New Algorithms in Post-Quantum Cryptography. Dissertation (Carleton University), 2024.Thesis with new ISD-related algorithms; abstract truncated.
- Z. Welch. Increasing Index Sizes for Information Set Decoding Algorithms. Code-Based Cryptography Workshop 2024, 2024.Larger index sets in ISD algorithms.
- E. Wenger, E. Saxena, M. Malhou, E. Thieu, K. Lauter. Benchmarking Attacks on Learning with Errors. IEEE S&P 2025, 2025.Benchmarks uSVP, SALSA, Cool&Cruel, MitM secret recovery at standardized parameters.
- M. Wronski, L. Dzierzkowski. Base of exponent representation matters - more efficient reduction of discrete logarithm problem and elliptic curve discrete logarithm problem to the QUBO problem. Quantum Information & Computation, 2024.Fewer-variable QUBO reductions of DLP/ECDLP for quantum annealing.
- M. Wroński, E. Burek, Ł. Dzierzkowski, O. Żołnierczyk. Transformation of Elliptic Curve Discrete Logarithm Problem to QUBO Using Direct Method in Quantum Annealing Applications. Journal of Telecommunications and Information Technology, 2024.ECDLP-to-QUBO reduction with logical qubit counts; toy instance on D-Wave.
- H. Wu, J. Zhuang. Tighter bound for generalized multiple discrete logarithm problem via MDS matrix method. Information Processing Letters, 2024.Tighter generic-group lower bounds for k-out-of-n multiple DLP.
- W. Xia, L. Wang, G. Wang, D. Gu, B. Wang. A Refined Hardness Estimation of LWE in Two-step Mode. PKC 2024, 2024.Refined two-step LWE estimator lowering NIST standard security estimates.
- T. Xu, J. Chen, P. Li. High-Speed Implementation of Lattice Enumeration with Discrete Pruning for Solving the SVP. 2024 IEEE International Conference on High Performance Computing and Communications (HPCC), 2024.CPU-GPU parallel discrete pruning enumeration for SVP challenges.
- N. Yoshiguchi, Y. Aikawa, T. Takagi. Sieving Method for SDP with the Zero Window: An Improvement in Low Memory Environments. IWSEC 2024, 2024.Low-memory sieving-based ISD for syndrome decoding; title only.
- L. Zhang, B. Qin, W. Gao, Y. Luo. An Improved Coppersmith Algorithm Based on Block Preprocessing. Mathematics, 2024.Faster Coppersmith method via block preprocessing in lattice reduction.
- R. Zhang, J. Bi, L. Li, H. Peng. An optimal bound for factoring unbalanced RSA moduli by solving Generalized Implicit Factorization Problem. The Journal of Supercomputing, 2024.Lattice bound for generalized implicit factorization of unbalanced RSA moduli.
- Z. Zhao, J. Ding, B. Yang. BGJ15 Revisited: Sieving with Streamed Memory Access. CHES / TCHES 2025, 2025.Memory-efficient BGJ sieve implementation; solves SVP-183 Darmstadt challenge.
- C. Zhao, J. Zhang, J. Cao, Q. Cheng, F. Wei. Implicit Factorization with Shared Any Bits. IACR Communications in Cryptology, 2024.Coppersmith-based implicit factorization with shared bit blocks.
- Y. Zhou, H. Cao, M. Wang. Deep LLL on Module Lattices. ISC (Information Security Conference) 2024, 2024.Deep LLL generalized to module lattices; title only.
- І. Горбенко, S. Kandii. The analysis of Hermite factor of BKZ algorithm on small lattices. Computer Science and Cybersecurity, 2024.Accuracy of BKZ Hermite-factor estimates on cryptographic-size lattices.
2023173 items2023.bib
- A. Abdullah, A. Mahalanobis. Minors solve the elliptic curve discrete logarithm problem. CoRR, 2023.Explores ECDLP algorithm via zero minors of matrices; computational, speculative but genuine attempt.
- M. Adamoudis, K. A. Draziotis. Message recovery attack on NTRU using a lattice independent from the public key. Advances in Mathematics of Communications, 2025.Generalized CVP/Babai message recovery attack on NTRU-HPS.Same work as dblp:journals-corr-abs-2203-09620; counted there, weight 0 here.
- Y. Ajani, C. Bright. A Hybrid SAT and Lattice Reduction Approach for Integer Factorization. SC-Square@ISSAC, 2023.Hybrid SAT plus lattice reduction factoring; title only.
- N. Aragon, V. Dyseryn, P. Gaborit. Analysis of the security of the PSSI problem and cryptanalysis of the Durandal signature scheme. CRYPTO 2023, 2023.Key-recovery attack on PSSI problem breaking all Durandal rank-metric parameters.
- H. A. ASWAD, C. PIERROT, E. THOMÉ. Discrete Logarithm Factory. IACR Communications in Cryptology, 2024.NFS Factory variant for non-prime finite fields; improved asymptotic DLP complexity.
- M. Atallah, H. Velmurugan, R. Sharma, S. Midha, M. S. Al, L. Botelho et al. Integer Factorization through Func-QAOA. arXiv, 2023.Func-QAOA variational quantum approach to integer factorization.
- B. Auerbach, C. Hoffmann, G. Pascual-Perez. Generic-Group Lower Bounds via Reductions Between Geometric-Search Problems: With and Without Preprocessing. TCC 2023, 2023.Generic-group lower bounds for DL-type problems with and without preprocessing.
- T. Aulbach, S. Samardjiska, M. Trimoska. Practical key-recovery attack on MQ-Sign. PQCrypto 2024, 2024.Polynomial-time key recovery on sparse UOV variants exploiting central-map sparsity.
- S. Bai, M. v. Hoof, F. B. Johnson, T. Lange, T. Ngo. Concrete Analysis of Quantum Lattice Enumeration. ASIACRYPT 2023, 2023.Concrete quantum circuit cost of Montanaro-based quantum lattice enumeration.
- A. O. Bakharev. Estimates of Implementation Complexity for Quantum Cryptanalysis of Post-Quantum Lattice-Based Cryptosystems. Journal of Applied and Industrial Mathematics, 2023.Qubit/depth bounds for quantum GaussSieve oracle against NIST lattice finalists.
- R. Barbulescu, A. Poulalion. The special case of cyclotomic fields in quantum algorithms for unit groups. AFRICACRYPT 2023, 2023.Qubit-reduced quantum unit-group algorithm for cyclotomic fields.
- M. Bardet, R. Mora, J. Tillich. Polynomial Time Key-Recovery Attack on High Rate Random Alternant Codes. IEEE Transactions on Information Theory, 2024.Polynomial-time structural key recovery for high-rate alternant codes.
- M. I. Bayhaqi, B. A. Pratomo. Evaluating Cryptoanalysis on Low-Exponent Implementation of Rivest-Shamir-Adleman. 2023 14th International Conference on Information & Communication Technology and System (ICTS), 2023.Empirical Coppersmith attacks on low-exponent RSA; known methods, success rates.
- O. Bernard, R. Kucera. A short basis of the Stickelberger ideal of a cyclotomic field. Mathematics of Computation, 2023.Short Stickelberger basis enabling ideal-SVP cryptanalysis in cyclotomic fields.
- O. Bernard, P. Fouque, A. Lesavourey. Computing e -th roots in number fields. 2024 Proceedings of the Symposium on Algorithm Engineering and Experiments (ALENEX), 2024.e-th root algorithms for Twisted-PHS ideal-SVP saturation step; generalizes NFS square-root methods.
- D. J. Bernstein. Asymptotics of hybrid primal lattice attacks. Cryptology ePrint Archive, Paper 2023/1892, 2023.Hybrid primal attacks give exponential asymptotic speedup against non-ternary LPR.
- D. J. Bernstein, T. Chou. CryptAttackTester: high-assurance attack analysis. CRYPTO 2024, 2024.High-assurance attack-cost framework; main case study is fully specified ISD cost predictions.
- S. Bhattacharyya, P. Sarkar. Concrete Time/Memory Trade-Offs in Generalised Stern’s ISD Algorithm. INDOCRYPT 2023, 2023.Generalised Stern ISD with time/memory trade-off analysis for Classic McEliece.
- S. Bhattacherjee, J. Hernandez-Castro, J. Moyler. A Greedy Global Framework for Lattice Reduction Using Deep Insertions. IACR Communications in Cryptology, 2025.Greedy global deep-insertion lattice reduction framework competitive with BKZ.
- J. Biasse, C. Fieker, T. Hofmann, W. Youmans. An algorithm for solving the principal ideal problem with subfields. Advances in Mathematics of Communications, 2024.Principal ideal problem algorithm via subfields, relevant to ideal-lattice attacks.
- N. Bindel, X. Bonnetain, M. Tiepelt, F. Virdia. Quantum Lattice Enumeration in Limited Depth. CRYPTO 2024, 2024.Lower-bounds cost of quantum backtracking enumeration under depth limits.
- S. Bitzer, A. Pavoni, V. Weger, P. Santini, M. Baldi, A. Wachter-Zeh. Generic Decoding of Restricted Errors. IEEE ISIT 2023, 2023.New generic decoders for restricted syndrome decoding, lowering security levels.
- S. Blake. Integer Factorisation, Fermat & Machine Learning on a Classical Computer. CoRR, 2023.Title-only: machine-learning-assisted Fermat factoring on classical computers.
- C. Bouillaguet, A. Fleury, P. Fouque, P. Kirchner. We Are on the Same Side. Alternative Sieving Strategies for the Number Field Sieve. ASIACRYPT 2023, 2023.Experimental study of NFS sieving strategies to speed relation collection.
- P. Briaud, M. Øygarden. A New Algebraic Approach to the Regular Syndrome Decoding Problem and Implications for PCG Constructions. EUROCRYPT 2023, 2023.Groebner-basis attack on regular syndrome decoding with concrete parameter gains.
- P. Briaud, P. Loidreau. Cryptanalysis of rank-metric schemes based on distorted Gabidulin codes. PQCrypto 2023, 2023.New structural attack on Loidreau and LowMS distorted-Gabidulin rank-metric schemes.
- A. Budroni, E. Mårtensson. Further Improvements of the Estimation of Key Enumeration with Applications to Solving LWE. Cryptography and Communications, 2024.Precise enumeration cost in dual attack lowers Kyber/Saber/TFHE estimates.
- A. Budroni, E. Mårtensson. Improved Estimation of Key Enumeration with Applications to Solving LWE. IEEE ISIT 2023, 2023.Key enumeration cost estimation in dual attack; revised Kyber/Saber/TFHE complexities.
- K. Carrier, V. Hatey, J. Tillich. Projective Space Stern Decoding and Application to SDitH. ACNS 2024, 2024.Projective-space Stern decoding speedup over Fq; breaks original SDitH parameters.
- K. Carrier, T. Debris-Alazard, C. Meyer-Hilfiger, J. Tillich. Reduction from sparse LPN to LPN, Dual Attack 3.0. EUROCRYPT 2024, 2024.Dual decoding via sparse-LPN to LPN reduction, beating ISD at low rates.
- W. Castryck, F. Vercauteren. A polynomial-time attack on instances of M-SIDH and FESTA. ASIACRYPT 2023, 2023.Polynomial-time attack on M-SIDH/FESTA instances via Frobenius structure.
- W. Castryck, M. Houben, S. Merz, M. Mula, S. v. Buuren, F. Vercauteren. Weak instances of class group action based cryptography via self-pairings. CRYPTO 2023, 2023.Self-pairings yield weak class group action instances.
- A. Chailloux, J. Tillich. The Quantum Decoding Problem. TQC, 2024.Quantum decoding algorithms via Regev reduction give short-codeword algorithms.
- S. Chaube. Guassian Lattice Reduction Algorithm in Two-Dimensions. JOURNAL OF ALGEBRAIC STATISTICS, 2023.Probabilistic analysis of Gauss/LLL reduction; v0.3.4 counts reduction analyses.
- M. Chen, M. Imran, G. Ivanyos, P. Kutas, A. Leroux, C. Petit. Hidden Stabilizers, the Isogeny To Endomorphism Ring Problem and the Cryptanalysis of pSIDH. ASIACRYPT 2023, 2023.Quantum polynomial-time IsERP algorithm; breaks pSIDH.
- C. Chen, P. Guan, Y. Huang, F. Zhang. Quantum circuits for hyperelliptic curve discrete logarithms over the Mersenne prime fields. Quantum Inf. Process., 2020.Quantum circuits for hyperelliptic DLP over Mersenne prime fields.
- Q. Cheng, C. Zhao, J. Cao, F. Wei. Improved Herrmann-May's Attack with Merging Variables and Lower LLL Bound. Inscrypt 2023, 2023.Improved Herrmann-May Coppersmith-type lattice attack with merged variables.
- Q. Cheng, J. Cao, X. Luo. Quantum Augmented Lattice Attack on NTRU with Side Information. Inscrypt 2023, 2023.Quantum-augmented lattice attack on NTRU with side-information hints.
- J. Chi-Domínguez, A. Esser, S. Kunzweiler, A. May. Low Memory Attacks on Small Key CSIDH. ACNS 2023, 2023.Representation-technique low-memory attacks on small-key CSIDH.
- A. Couvreur, R. Mora, J. Tillich. A new approach based on quadratic forms to attack the McEliece cryptosystem. ASIACRYPT 2023, 2023.Quadratic-form distinguisher and key recovery for alternant/Goppa codes via MinRank.
- A. Couvreur, I. Zappatore. An extension of Overbeck's attack with an application to cryptanalysis of Twisted Gabidulin-based schemes. PQCrypto 2023, 2023.Extends Overbeck/Gibson structural attacks on GPT with (twisted) Gabidulin codes.
- G. D'Alconzo. On Two Modifications of the McEliece PKE and the CFS Signature Scheme. FOCS 2023, 2023.Structural key recovery via support splitting on modified McEliece/CFS Goppa parameters.
- E. Dable-Heath, C. Laura, H. Victor, P. Christian, F. Mintert, C. Ling. Quantum algorithmic solutions to the shortest vector problem on simulated coherent Ising machines. arXiv, 2023.QUBO/Ising formulation of SVP on simulated coherent Ising machines.
- Y. Dasari, V. Dondeti. RSA security in cloud computing: A distributed model for integrated GNFS with Black Wiedemann algorithm for integer factorization. AIP Conference Proceedings, 2023.No abstract; distributed GNFS with block Wiedemann for factoring.
- P. Deepthi, N. P. Hegde. Comparison of Pollard’s rho Algorithm Based on Cycle Finding Methods. Intelligent Computing and Communication, 2023.Comparison of cycle-finding variants in Pollard rho; target unstated.
- Y. L. Direbieski, H. Tanioka, K. Matsuura, H. Takeuchi, M. Sano, T. Ueta. Security Impact Analysis of Degree of Field Extension in Lattice Attacks on Ring-LWE Problem. 2023 IEEE 47th Annual Computers, Software, and Applications Conference (COMPSAC), 2023.Toy LLL attack experiments on RLWE versus extension degree.
- L. Ducas, L. N. Pulles. Accurate Score Prediction for Dual-Sieve Attacks. Journal of Cryptology, 2026.Accurate score distribution prediction fixing dual-sieve attack analysis.
- L. Ducas, A. Esser, S. Etinski, E. Kirshanova. Asymptotics and Improvements of Sieving for Codes. EUROCRYPT 2024, 2024.Asymptotic analysis and LSH/F improvements for sieving-based ISD.
- L. Ducas, L. Pulles. Does the Dual-Sieve Attack on Learning with Errors even Work? CRYPTO 2023, 2023.Shows dual-sieve-FFT attack heuristics contradict theory; success likely overestimated.
- L. Ducas, T. Espitau, E. W. Postlethwaite. Finding short integer solutions when the modulus is small. CRYPTO 2023, 2023.ISIS cryptanalysis for small moduli via BKZ q-ary basis geometry.
- L. Ducas. Provable Lattice Reduction of \(\mathbb Z^n\) with Blocksize \(n/2\). Designs, Codes and Cryptography, 2024.Provable ZLIP solving with SVP oracle in dimension n/2.
- J. Duman, D. Hartmann, E. Kiltz, S. Kunzweiler, J. Lehmann, D. Riepel. Generic Models for Group Actions. PKC 2023, 2023.Generic group action model with DLog lower bounds for CSIDH-like actions.
- A. Esser, J. Verbel, F. Zweydinger, E. Bellini. \(\texttt{CryptographicEstimators}\): a Software Library for Cryptographic Hardness Estimation. AsiaCCS, 2024.Open-source hardness estimator library for SD, MQ, code equivalence, PKP.
- A. Esser, A. Mukherjee, S. Sarkar. Memory-Efficient Attacks on Small LWE Keys. ASIACRYPT 2023, 2023.Memory-efficient combinatorial algorithms for recovering small LWE secrets.
- A. Esser, P. Santini. Not Just Regular Decoding: Asymptotics and Improvements of Regular Syndrome Decoding Attacks. CRYPTO 2024, 2024.Asymptotics and regular-ISD algorithms for regular syndrome decoding.
- S. Etinski. Generalized syndrome decoding problem and its application to post-quantum cryptography. (Problème de décodage de syndrome généralisé et son application à la cryptographie post-quantique). Paris Cité University, France, 2023.Thesis: classical/quantum ISD cost analysis for generalized syndrome decoding; also a signature.
- Y. Feng, A. Nitaj, Y. Pan. Generalized Implicit Factorization Problem. Selected Areas in Cryptography (SAC) 2023, 2023.Coppersmith-type lattice algorithm for generalized implicit factorization of RSA moduli.
- G. Filippone. On the Discrete Logarithm Problem for elliptic curves over local fields. CoRR, 2023.ECDLP attack over Z/p^k via lifting and exponential map; nonstandard setting.
- M. François, R. Guénaël, S. Benjamin. Deterministic factoring with oracles. Applicable Algebra in Engineering, Communication and Computing, 2021.Lattice-based deterministic factoring given phi, lambda or sigma oracles.
- H. Furue, Y. Ikematsu. A New Security Analysis Against MAYO and QR-UOV Using Rectangular MinRank Attack. IWSEC 2023, 2023.Rectangular MinRank attack analysis on MAYO and QR-UOV.
- I. Gábor, J. Antoine, S. Miklos. Discrete logarithm and Diffie-Hellman problems in identity black-box groups. Chicago Journal of Theoretical Computer Science, 2023.Classical and quantum query lower bounds for DL/CDH in black-box groups.
- É. Gouzien, D. Ruiz, F. L. Régent, J. Guillaud, N. Sangouard. Performance Analysis of a Repetition Cat Code Architecture: Computing 256-bit Elliptic Curve Logarithm in 9 Hours with 126 133 Cat Qubits. Physical Review Letters, 2023.Quantum resource estimate for 256-bit ECDLP on cat-qubit architecture.
- H. Gray, C. Battarbee, S. F. Shahandashti, D. Kahrobaei. A novel attack on McEliece's cryptosystem. International Journal of Computer Mathematics: Computer Systems Theory, 2023.Claimed ISD-style improvement over Stern and Lee-Brickell; low-tier venue.
- S. V. Grebnev, M. A. Gavreev, E. O. Kiktenko, A. P. Guglya, A. Efimov, A. K. Fedorov. Pitfalls of the Sublinear QAOA-Based Factorization Algorithm. IEEE Access, 2023.Refutes sublinear-resource QAOA factoring claim; classical Schnorr part unanalysed.
- Q. Guo, T. Johansson, V. Nguyen. A New Sieving-Style Information-Set Decoding Algorithm. IEEE Transactions on Information Theory, 2024.New sieving-style ISD; better in low memory and low weight, lowers BIKE cost.
- S. M. Hakan. Eliptik eğri yöntemi ile çarpanlara ayırma için esnek donanım tasarımı. OpenMETU (Middle East Technical University), 2023.FPGA ECM factoring coprocessor aimed at attack throughput; speed-focused attack implementation.
- M. Hhan, T. Yamakawa, A. Yun. Quantum Complexity for Discrete Logarithms and Related Problems. CRYPTO 2024, 2024.Quantum generic group lower bounds for DL; Shor optimal.
- M. Hittmeir. Integer factorization as subset-sum problem. Journal of Number Theory, 2023.Reduces factoring to multiple-choice subset sum, improving Fermat-type complexity.
- M. Hittmeir. Smooth Subsum Search A Heuristic for Practical Integer Factorization. FOCS 2023, 2023.Smooth Subsum Search: sieve-free QS variant for factoring.
- G. Holden, D. Shiu, L. Strutt. Identifying reducible k-tuples of vectors with subspace-proximity sensitive hashing/filtering. arXiv, 2023.New hash/filter families for finding reducible tuples in lattice sieving.
- J. Hu. Analysis and Optimization of Improved Index Calculus Algorithm. Mathematics and Computer Science, 2023.Optimizes an improved index calculus variant for prime-field DLP; minor contribution.
- M. A. Huang. Last fall degree of semi-local polynomial systems. SIAM Journal on Applied Algebra and Geometry, 2026.Last fall degree bounds for Weil-restriction systems; improves HFE attack.
- Z. Ibrahim, S. Shehu, S. I. Abubakar. Public key exponent attacks on multi-prime power modulus using continued fraction expansion method. Caliphate Journal of Science and Technology, 2023.Continued-fraction and LLL attacks on prime-power RSA moduli.
- Y. Ikematsu, H. Jo, T. Yasuda. A security analysis on MQ-Sign. WISA, 2023.Key recovery on MQ-Sign exploiting structured UOV-variant secret key.
- Y. Ikematsu, T. Saito. Hilbert Series for Systems of UOV Polynomials. IEICE Transactions, 2024.Hilbert series prediction for UOV systems applied to reconciliation attack on MAYO.
- K. Jang, W. Kim, S. Lim, Y. Kang, Y. Yang, H. Seo. Quantum Binary Field Multiplication with Optimized Toffoli Depth and Extension to Quantum Inversion. Sensors, 2023.Low-depth quantum binary-field multiplication for Shor on binary curves.
- H. Jiang, K. Wen, Y. Chen. Practically Solving LPN in High Noise Regimes Faster Using Neural Networks. Cryptology ePrint Archive, Paper 2023/372, 2023.Neural-network LPN solvers outperform guess-and-eliminate in high-noise low-dimension regimes.
- D. Jintai, K. Seungki, T. Tsuyoshi, W. Yuntao, Y. Bo-yin. A physical study of the LLL algorithm. Journal of Number Theory, 2023.Average-case/empirical behaviour analysis of LLL via sandpile models (v0.3.4).
- H. T. Kamche, H. T. Kalachi. Solving Systems of Algebraic Equations Over Finite Commutative Rings and Applications. Applicable Algebra in Engineering, Communication and Computing, 2024.Extends algebraic rank decoding and MinRank attacks to finite rings.
- S. Kandiy. Security analysis of promising key encapsulation mechanisms in the core-SVP model. Radiotekhnika, 2023.Core-SVP estimates of Skelya and Kyber with GSA and BKZ simulator.
- S. Kanzawa, T. Manabe, Y. Kodera, Y. Nogami, T. Kusaka. Method to Eliminate Fruitless Cycles for Pollard's Rho Method with Splitting Table. 2023 International Technical Conference on Circuits/Systems, Computers, and Communications (ITC-CSCC), 2023.Parallel rho with skew Frobenius and splitting tables on BN curves.
- Y. Kawano. A reduction from an LWE problem to maximum independent set problems. Scientific Reports, 2023.Reduces LWE to MIS instances for quantum annealing; LWE challenge sizing.
- T. Khattar, N. Yosri. A comment on "Factoring integers with sublinear resources on a superconducting quantum processor". arXiv, 2023.Refutes claimed 372-qubit quantum-assisted Schnorr factoring of RSA-2048.
- J. Kim, C. Lee. A polynomial time algorithm for breaking NTRU encryption with multiple keys. Designs, Codes and Cryptography, 2023.Polynomial-time attack on NTRU given multiple related keys.
- H. Kim, K. Jang, Y. Oh, W. Seok, W. Lee, K. Bae et al. Finding Shortest Vector Using Quantum NV Sieve on Grover. ICISC 2023, 2023.Quantum NV sieve circuit with Grover and resource estimates.
- H. Kim, S. Hong. New Space-Efficient Quantum Algorithm for Binary Elliptic Curves using the Optimized Division Algorithm. Quantum Inf. Process., 2023.Qubit-saving quantum division for Shor ECDLP on binary curves; resource estimates.
- S. Kim, E. Lee, J. Lee, M. Lee, H. Noh. Security Evaluation on KpqC Round 1 Lattice-Based Algorithms Using Lattice Estimator. ICISC 2023, 2023.Lattice-estimator security evaluation of KpqC round-1 lattice candidates' parameters.
- N. Kimura, A. Takayasu, T. Takagi. Memory-Efficient Quantum Information Set Decoding Algorithm. ACISP 2023, 2023.Memory-efficient quantum information set decoding.Same work as openalex:W3144520238; counted there, weight 0 here.
- E. Kirshanova, A. May, J. Nowakowski. New NTRU Records with Improved Lattice Bases. PQCrypto 2023, 2023.Improved cyclotomic lattice bases and G6K tuning; solves NTRU instances and n=181 challenge.
- S. O. Kostin, E. B. Aleksandrova. Investigation of the Structure of the Isogeny Graph for Postquantum Cryptography Protocols. Automatic Control and Computer Sciences, 2023.Isogeny graph structure: vertices vulnerable to path-reconstruction attack.
- V. Kumar, A. Raya, S. Gangopadhyay, A. K. Gangopadhyay. Lattice attack on group ring NTRU: The case of the dihedral group. SPACE, 2023.Dihedral group-ring NTRU key recovery reduces to SVP in half-dimension lattices.
- H. T. Larasati, D. S. C. Putranto, R. W. Wardhani, J. Park, H. Kim. Depth Optimization of FLT-Based Quantum Inversion Circuit. IEEE Access, 2023.Depth-optimized quantum binary-field inversion for Shor ECDLP resource estimates.Same work as openalex:W4224871955; counted there, weight 0 here.
- H. T. Larasati, H. Kim. Quantum Circuit Designs of Point Doubling Operation for Binary Elliptic Curves. WISA, 2023.Quantum circuit and resource cost for point doubling in Shor ECDLP on binary curves.
- H. T. Larasati, H. Kim. Quantum Circuit Designs of Point Doubling for Binary Elliptic Curves. WISA, 2023.Quantum point-doubling circuit and resource cost for Shor ECDLP on binary curves.Same work as eprint:2023-1140; counted there, weight 0 here.
- T. S. C. Lau, C. H. Tan. Polynomial-time plaintext recovery attacks on the IKKR code-based cryptosystems. Advances in Mathematics of Communications, 2023.Polynomial-time plaintext recovery on IKKR McEliece-type variant exploiting its structure.
- A. Levina, V. Kadykov, M. R. Valluri. Security Analysis of Hybrid Attack for NTRU-Class Encryption Schemes. IEEE Access, 2023.Hybrid lattice/MITM attack cost estimates for NTRU, NTRUEncrypt, NTRU Prime.
- J. Li, M. Walter. Improving Convergence and Practicality of Slide-type Reductions. Information and Computation, 2023.Improved convergence analysis and practical variant of slide reduction.
- Q. Li, Q. Zheng, W. Qi. Practical Attacks on Small Private Exponent RSA: New Records and New Insights. Designs, Codes and Cryptography, 2023.Coppersmith/Herrmann-May small-d RSA attack with MSB binary search; practical instances solved.
- C. Li, J. Sotáková, E. Wenger, M. Malhou, E. Garcelon, F. Charton et al. SALSA PICANTE: a machine learning attack on LWE with binary secrets. ACM CCS 2023, 2023.PICANTE: ML attack recovering sparse binary LWE secrets up to n=350.
- C. Y. Li, E. Wenger, Z. Allen-Zhu, F. Charton, K. E. Lauter. SALSA VERDE: a machine learning attack on LWE with sparse small secrets. NeurIPS, 2023.Machine-learning attack on LWE with sparse small secrets.
- C. Y. Li, E. Wenger, Z. Allen-Zhu, F. Charton, K. Lauter. SALSA VERDE: a machine learning attack on Learning with Errors with sparse small secrets. NeurIPS, 2023.ML attack recovering sparse small LWE secrets at larger dimension and smaller modulus.Same work as dblp:conf-nips-LiWACL23; counted there, weight 0 here.
- Y. Li, L. Wang. Security analysis of the Classic McEliece, HQC and BIKE schemes in low memory. J. Inf. Secur. Appl., 2023.Low-memory ISD with K-list sum re-estimates McEliece/HQC/BIKE bit security.
- Y. Liu. An Uncertainty Principle for the Curvelet Transform, and the Infeasibility of Quantum Algorithms for Finding Short Lattice Vectors. CoRR, 2023.Rules out curvelet-based quantum approach to approx-SVP/BDD.
- X. Liu, H. Yang, L. Yang. Feasibility Analysis of Cracking RSA with Improved Quantum Circuits of the Shor’s Algorithm. SCN 2023, 2023.CNOT-optimized Shor modular exponentiation and RSA-breaking cost on ion traps.
- X. Liu, H. Yang, L. Yang. Minimizing CNOT-count in quantum circuit of the extended Shor's algorithm for ECDLP. Cybersecurity (Springer), 2023.CNOT-optimized Shor circuits for prime-field ECDLP with resource estimates.
- P. Lou, A. Sahai, V. Sivashankar. Relinearization Attack On LPN Over Large Fields. The Computer Journal, 2023.Relinearization/Macaulay algebraic attack analysis on sparse-noise LPN over large fields.
- J. Loyer, A. Chailloux. Classical and quantum 3 and 4-sieves to solve SVP with low memory. PQCrypto 2023, 2023.Classical and quantum 3- and 4-sieves with new time-memory trade-offs for SVP.
- J. Loyer. Quantum Cryptanalysis on Lattices and Codes. (Cryptanalyse quantique des réseaux et codes). Sorbonne University, Paris, France, 2023.Thesis on quantum algorithms for lattice and code problems.
- J. Loyer. Quantum Cryptanalysis on Lattices and Codes. Dissertation (Agence Bibliographique de l'Enseignement Supérieur), 2023.Thesis: quantum sieving for SVP and quantum decoding attacks.
- J. Loyer. Quantum security analysis of Wave. IACR Communications in Cryptology, 2026.Quantum smoothed Wagner within ISD improving quantum forgery attacks on Wave.
- L. Luan, Y. Shi, C. Gu, Y. Zheng. Application of Discrete Pruned Enumeration in Solving BDD. Symmetry, 2023.Discrete pruned enumeration for BDD with cost models; LWE and DSA applications.
- L. Luan, C. Gu, Y. Zheng, Y. Shi. Lattice Enumeration with Discrete Pruning: Improvements, Cost Estimation and Optimal Parameters. Mathematics, 2023.Improved discrete-pruning enumeration with cost model and optimal parameters.
- G. Macario-Rat, J. Patarin, B. Cogliati, J. Faugère, P. Fouque, L. Gouin et al. Rectangular Attack on VOX. Cryptology ePrint Archive, Paper 2023/1822, 2023.Rectangular MinRank attack on VOX quotient-ring UOV parameters, with fix.
- L. Maino, C. Martindale, L. Panny, G. Pope, B. Wesolowski. A Direct Key Recovery Attack on SIDH. EUROCRYPT 2023, 2023.Key recovery on SIDH via isogenies of products of curves using torsion images.
- T. Manabe, S. Kanzawa, M. A. Ali, Y. Nogami, Y. Kodera, T. Kusaka. A Proposal of Eliminating Fruitless Cycle for Efficient Pollard's Rho Method by Adding a Constant Rational Point. 2023 International Technical Conference on Circuits/Systems, Computers, and Communications (ITC-CSCC), 2023.Reduces fruitless cycles in rho with skew Frobenius map.
- T. Manabe, K. Ikuta, S. Joichi, H. Miura, S. Kanzawa, Y. Nogami et al. An Attack for a 116bit ECDLP for a Barreto-Naehrig Curve. 2023 International Conference on Consumer Electronics - Taiwan (ICCE-Taiwan), 2023.Reports solving 116-bit BN-curve ECDLP with parallel rho and Frobenius.
- J. Meers, J. Nowakowski. Solving the Hidden Number Problem for CSIDH and CSURF via Automated Coppersmith. ASIACRYPT 2023, 2023.Coppersmith recovery of CSIDH/CSURF shared curve from partial CDH bits.
- A. H. L. Merdy, B. Wesolowski. The supersingular endomorphism ring problem given one endomorphism. IACR Communications in Cryptology, 2025.Endomorphism ring computation given one endomorphism, classical and quantum.
- C. Meyer-Hilfiger, J. Tillich. Rigorous Foundations for Dual Attacks in Coding Theory. TCC 2023, 2023.Rigorous dual-attack analysis for decoding; fixes RLPN false candidates.
- G. D. Micheli, P. Gaudry, C. Pierrot. Lattice Enumeration and Automorphisms for Tower NFS: A 521-Bit Discrete Logarithm Computation. Journal of Cryptology, 2023.521-bit finite-field discrete log record via tower NFS.Journal extension of eprint:2021-707; counted at 0.33.
- R. Mora. Algebraic techniques for decoding Reed-Solomon codes and cryptanalyzing McEliece-like cryptosystems. (Techniques algébriques pour le décodage des codes de Reed-Solomon et cryptanalyse des schémas de type McEliece). Sorbonne University, Paris, France, 2023.Thesis on algebraic cryptanalysis of McEliece-like schemes (Goppa distinguishers).
- R. Mora. On the matrix code of quadratic relationships for a Goppa code. Advances in Mathematics of Communications, 2025.Low-rank elements in Goppa quadratic-relation matrix code; structural key recovery.
- M. Mukhopadhyay. Improving Gaudry-Schost algorithm for multi-dimensional discrete logarithm calculations: Implementations relevant to electronic voting and cash schemes. Cryptology ePrint Archive, Paper 2023/160, 2023.Faster Gaudry-Schost iteration for multi-dimensional DLP with implementation.
- G. N. Nguyen, C. H. Bischof. Task-based Parallelization Approach for Attacking the Supersingular Isogeny Path Problem. 2023 Australasian Computer Science Week, 2023.Parallel attack algorithm for supersingular isogeny path problem.
- K. Nisa, I. E. Wijayanti. The Meet-in-The-Middle Attack on The Matrix NTRU Cryptosystem. 2023 IEEE International Conference on Cryptography, Informatics, and Cybersecurity (ICoCICs), 2023.Meet-in-the-middle key recovery on Matrix NTRU variant; weak paper.
- K. Oonishi, N. Kunihiro. Shor's Algorithm Using Efficient Approximate Quantum Fourier Transform. IEEE Transactions on Quantum Engineering, 2023.Approximate QFT reducing T-count/depth of Shor's circuit.
- R. Oyono, N. Thériault. Index calculus algorithm for non-planar curves. Finite Fields and Their Applications, 2023.Index calculus for DLP in Jacobians of non-planar curves.
- F. Paradise, K. A. Sugeng. ALGEBRAIC CRYPTANALYSIS ON NTRU-HPS AND NTRU-HRSS. BAREKENG: Jurnal Ilmu Matematika dan Terapan, 2023.Algebraic cryptanalysis evaluating resistance of NTRU-HPS/HRSS parameter sets.
- S. Perriello, A. Barenghi, G. Pelosi. Improving the Efficiency of Quantum Circuits for Information Set Decoding. ACM Transactions on Quantum Computing, 2023.Quantum ISD circuit with depth reductions for NIST code-based parameters.
- P. Pébereau. One vector to rule them all: Key recovery from one vector in UOV schemes. PQCrypto 2024, 2024.Recovers UOV secret key from a single oil-space vector.
- E. Poimenidou, M. Adamoudis, K. A. Draziotis, K. Tsichlas. Message recovery attack in NTRU through VFK lattices. Acta Informatica, 2026.NTRU message recovery via reduction to Voronoi-first-kind lattice CVP, oracle-assisted.
- A. Pouly, Y. Shen. Provable Dual Attacks on Learning with Errors. EUROCRYPT 2024, 2024.Provably correct dual attack on LWE without statistical heuristics.
- M. D. Pradana, S. S. Baladina, A. D. Handayani, S. S. Carita. A New Boundary of Minimum Private Key on Wiener Attack Against RSA Algorithm. 2023 IEEE International Conference on Cryptography, Informatics, and Cybersecurity (ICoCICs), 2023.Improved bound for Wiener-type small private exponent attack on RSA.
- D. S. C. Putranto, R. W. Wardhani, H. T. Larasati, J. Ji, H. Kim. Depth-Optimization of Quantum Cryptanalysis on Binary Elliptic Curves. IEEE Access, 2023.Depth-optimized Shor circuits for binary elliptic curve DLP.Same work as eprint:2022-501; counted there, weight 0 here.
- A. Qayyum, M. S. Haris. Cryptanalysis of LWE and SIS-based cryptosystems by using quantum annealing. Institutional repository, 2023.LWE/SIS as QUBO for quantum annealing with qubit estimates.
- S. Ragavan, V. Vaikuntanathan. Space-Efficient and Noise-Robust Quantum Factoring. CRYPTO 2024, 2024.Space-efficient, noise-robust variant of Regev's quantum factoring algorithm.
- M. Remaud. Applications of Quantum Fourier Sampling and the Dihedral Hidden Subgroup Problem. (Applications de l'échantillonnage de Fourier quantique et problème de sous-groupe caché dans un groupe diédral). Sorbonne University, Paris, France, 2023.Thesis: quantum Fourier sampling for low-weight codewords and dihedral HSP.
- J. B. Rodríguez, N. Gama, A. K. Narayanan, D. Joseph. On finding dense sub-lattices as low energy states of a quantum Hamiltonian. CoRR, 2023.Quantum Hamiltonian formulations and solvers for densest sublattice, generalizing SVP.
- K. Ryan, N. Heninger. Fast Practical Lattice Reduction through Iterated Compression. CRYPTO 2023, 2023.Fast practical LLL-quality lattice reduction via iterated compression.
- N. Sendrier. Wave Parameter Selection. PQCrypto 2023, 2023.ISD cost estimates and parameter selection for Wave.
- F. Sica. Two Remarks on Torsion-Point Attacks in Isogeny-Based Cryptography. Cryptology ePrint Archive, Paper 2023/1229, 2023.Corrects mathematical justification of torsion-point attacks on SIDH-like schemes.
- D. Smith-Tone. A Total Break of the 3WISE Digital Signature Scheme. Cryptology ePrint Archive, Paper 2023/1535, 2023.Polynomial-time MinRank-based total break of 3WISE.
- D. Smith-Tone. The Generating Series of Support Minors MinRank Ideals. Cryptology ePrint Archive, Paper 2023/1456, 2023.Generating series for support-minors MinRank Hilbert series complexity.
- M. Sun, S. Wang, H. Chen, L. Qu. A New Random Sampling Method and Its Application in Improving Progressive BKZ Algorithm. Journal of Systems Science and Complexity, 2023.New random sampling method improving progressive BKZ.
- R. Taguchi, A. Takayasu. Concrete Quantum Cryptanalysis of Binary Elliptic Curves via Addition Chain. CT-RSA 2023, 2023.Improved quantum inversion circuits for Shor ECDLP on binary curves.
- T. Takahashi, S. Okumura, A. Miyaji. On the Weakness of Non-Dual Ring-LWE Mod Prime Ideal q by Trace Map. IEICE Transactions, 2023.Chi-square attack on non-dual Ring-LWE extended to any residue degree via trace.Journal extension of dblp:conf-sacrypt-TakahashiOM22; counted at 0.33.
- N. Tateiwa, Y. Shinano, M. Yasuda, S. Kaji, K. Yamamura, K. Fujisawa. Development and analysis of massive parallelization of a lattice basis reduction algorithm. Japan Journal of Industrial and Applied Mathematics, 2023.Massively parallel lattice basis reduction algorithm (v0.3.4: reduction algorithms yes).
- C. Ted, F. B. Hemenway, H. Nadia, S. Zachary. Two variable polynomial congruences and capacity theory. Mathematical Cryptology (FAU), 2023.Capacity-theory limits on Coppersmith auxiliary polynomials, with LWE application.
- S. Tian, Z. Dong, K. Wang, C. Lv. Subfield Attack on NTRU by using symmetric function map. IEEE ISIT 2023, 2023.Subfield attack on NTRU via symmetric function maps.
- I. K. Tutul, S. Karimi, S. Mohammadreza, Z. Junpeng. Shallow Depth Factoring Based on Quantum Feasibility Labeling and Variational Quantum Search. arXiv, 2023.New variational quantum factoring algorithm with shallow circuits.
- S. Uesugi, S. Okumura, A. Miyaji. Revisiting an Extension of Kannan's Embedding for Ring-LWE. MobiSec, 2023.Title only: revisits extended Kannan embedding attack for Ring-LWE.
- K. Ura, T. Imoto, T. Nikuni, S. Kawabata, Y. Matsuzaki. Analysis of the shortest vector problems with quantum annealing to search the excited states. Japanese Journal of Applied Physics, 2023.Quantum annealing excited-state search for SVP.
- L. I. V. Solving some cryptanalytic problems for lattice-based cryptosystems with quantum annealing method. Matematicheskie Voprosy Kriptografii, 2023.Quantum-annealing BDD algorithm with qubit estimates including NTRUEncrypt lattices.
- R. C. Villena, R. Terada. Recovering the Secret on Binary Ring-LWE problem with Random Known bits. Anais do XXIII Simpósio Brasileiro de Segurança da Informação e de Sistemas Computacionais (SBSeg 2023), 2023.Secret recovery for binary Ring-LWE given known coefficients of s and e.
- A. Wakasugi, M. Tada. A proposal for quantum GRS algorithm and the cryptanalysis for ROLLO and RQC. Cryptology ePrint Archive, Paper 2023/994, 2023.Quantum GRS rank decoding; quantum security of RQC/ROLLO.
- L. Wang, Y. Wang, B. Wang. A Trade-off SVP-solving Strategy based on a Sharper pnj-BKZ Simulator. AsiaCCS, 2023.Sharper pnj-BKZ simulator, LWE hardness estimates, time-memory SVP strategy.
- C. Wang, Q. Hu, H. Yao, S. Wang, Z. Pei. Deciphering a Million-Plus RSA Integer with Ultralow Local Field Coefficient h and Coupling Coefficient J of the Ising Model by D-Wave 2000Q. Tsinghua Science and Technology, 2024.Annealing Ising factoring of 1245407 on D-Wave 2000Q; toy quantum factoring.
- X. Wang, P. Zheng, Q. Xing. Security Analysis of Pairing-based Cryptography. arXiv, 2023.STNFS security evaluation of standardized pairing curves; BN256 about 100 bits.
- Y. Wei, L. Bi, K. Wang, X. Lu. An Improved BKW Algorithm for Solving LWE with Small Secrets. ISC (Information Security Conference) 2023, 2023.Improved BKW for small-secret LWE.
- Y. Wei, L. Bi, X. Lu, K. Wang. Security estimation of LWE via BKW algorithms. Cybersecurity (Springer), 2023.BKW overview with concrete LWE security estimates vs lattice methods.
- B. Wesley, C. Giuseppe, K. Jenna, L. Yihan, M. Gretchen, U. Eric. Squares of bivariate Goppa codes. Mathematical Cryptology (FAU), 2023.Square-code dimension of bivariate Goppa codes for distinguishing.
- A. Wiemers, K. Bashiri. On the Independence Heuristic in the Dual Attack. Journal of Mathematical Cryptology, 2025.Refutes independence heuristic in dual attack; rigorous and heuristic success and cost estimates.
- D. Willsch, M. Willsch, F. Jin, H. A. D. Raedt, K. F. L. Michielsen. Large-Scale Simulation of Shor's Quantum Factoring Algorithm. arXiv, 2023.Large-scale simulation of Shor success probabilities, post-processing and error resilience.
- L. Xu, Z. Dai, B. Wu, D. Lin. Improved Attacks on (EC)DSA with Nonce Leakage by Lattice Sieving with Predicate. CHES / TCHES 2023, 2023.Improved sieving-with-predicate for HNP from (EC)DSA nonce leakage; new lattice records.
- J. Yamaguchi, M. Yamazaki, A. Tabuchi, T. Honda, T. Izu, N. Kunihiro. Estimation of Shor's Circuit for 2048-bit Integers based on Quantum Simulator. Cryptology ePrint Archive, Paper 2023/092, 2023.Shor circuit gate/depth estimates for 1024/2048-bit factoring.
- S. Yin, J. Min. A Heuristic Algorithm for LPN Decoding with Improved Memory and Time Efficiency. Research Square, 2023.New heuristic LPN decoding phase cheaper than FWHT.
- X. Zhang, F. Zhang. Variational Quantum Computation Integer Factorization Algorithm. International Journal of Theoretical Physics, 2023.Variational quantum factoring algorithm; title only.
- Z. Zhao, J. Ding. Practical Improvements on BKZ Algorithm. CSCML, 2023.Practical improvements to BKZ.Same work as eprint:2022-239; counted there, weight 0 here.
- Z. Zhao, Q. Ye. Revisiting lower dimension lattice attacks on NTRU. Information Processing Letters, 2023.Revisits lower-dimension lattice attacks on NTRU.
- M. Zheng. Notes on Small Private Key Attacks on Common Prime RSA. IEEE Access, 2024.Corrected Coppersmith-style small private key attack on common prime RSA.
- Y. Zhu, J. Liu. Constructing CM Fields for NFS to Accelerate DL Computation in Non-Prime Finite Fields. IEEE Transactions on Information Theory, 2023.CM-field polynomial selection to accelerate NFS discrete logs in non-prime fields.
- H. Zhu, S. Kamada, M. Kudo, T. Takagi. Improved Hybrid Attack via Error-Splitting Method for Finding Quinary Short Lattice Vectors. IWSEC 2023, 2023.Improved hybrid attack via error splitting for quinary short vectors.
- O. Zolnierczyk, M. Wronski. Searching B-Smooth Numbers Using Quantum Annealing: Applications to Factorization and Discrete Logarithm Problem. Computational Science – ICCS 2023, 2023.Quantum annealing search for B-smooth numbers for factoring/index calculus.
2022123 items2022.bib
- M. Adamoudis, K. A. Draziotis. Message recovery attack to NTRU using a lattice independent from the public key. Advances in Mathematics of Communications, 2025.CVP-based NTRU-HPS message recovery with new lattice.
- M. R. Albrecht, Y. Shen. Quantum Augmented Dual Attack. Cryptology ePrint Archive, Paper 2022/656, 2022.Quantum speedup of dual lattice attack on LWE with QRACM.
- M. R. Albrecht, M. Prokop, Y. Shen, P. Wallden. Variational quantum solutions to the Shortest Vector Problem. Quantum, 2023.Variational quantum SVP solver with qubit bounds and NISQ extrapolation.
- A. Ansari. Using Oblique Elimination to Solve Elliptic Curve Discrete Logarithm Problem. international journal of engineering technology and management sciences, 2022.Oblique elimination variant of linear-algebra ECDLP algorithm; minor venue.
- Y. Aono, S. Liu, T. Tanaka, S. Uno, R. V. Meter, N. Shinohara et al. The Present and Future of Discrete Logarithm Problems on Noisy Quantum Computers. IEEE Transactions on Quantum Engineering, 2022.Shor DLP on NISQ devices: success metric, post-processing, experiments and forecasts.
- S. Arpin, M. Chen, K. E. Lauter, R. Scheidler, K. E. Stange, H. T. N. Tran. Orienteering with one endomorphism. Cryptology ePrint Archive, Paper 2022/098, 2022.Supersingular isogeny path-finding given one endomorphism via oriented volcanoes.
- H. A. ASWAD, C. PIERROT. Individual Discrete Logarithm with Sublattice Reduction. Designs, Codes and Cryptography, 2023.Improved individual-logarithm initial splitting for TNFS in composite-degree finite fields.
- J. Baena, P. Briaud, D. Cabarcas, R. A. Perlner, D. Smith-Tone, J. A. Verbel. Improving Support-Minors Rank Attacks: Applications to Gđisplaystyle eMSS and Rainbow. CRYPTO 2022, 2022.Improved support-minors MinRank attacks on GeMSS and Rainbow.Same work as eprint:2021-1677; counted there, weight 0 here.
- H. M. Bahig. Speeding Up Fermat’s Factoring Method using Precomputation. Annals of Emerging Technologies in Computing, 2022.Faster Fermat factoring with precomputation for close prime factors.
- H. M. Bahig, H. M. Bahig, D. I. Nassr, M. A. Mahdi, M. A. G. Hazber, K. A. Al-Utaibi et al. Speeding up wheel factoring method. J. Supercomput., 2022.Speedup of wheel (trial-division) factoring method.
- Y. Bao, Z. Tan, S. Wei, H. Jiang, W. Wang, H. Wang et al. Factoring integers with sublinear resources on a superconducting quantum processor. arXiv (Cornell University), 2022.Schnorr lattice plus QAOA factoring with RSA-2048 qubit estimate; widely disputed claim.
- M. Bardet, M. Bertin. Improvement of Algebraic Attacks for Solving Superdetermined MinRank Instances. PQCrypto 2022, 2022.Improved algebraic attack on superdetermined MinRank; applied to DAGS.
- M. Bardet, P. Briaud, M. Bros, P. Gaborit, J. Tillich. Revisiting Algebraic Attacks on MinRank and on the Rank Decoding Problem. Designs, Codes and Cryptography, 2023.Improved algebraic modelings and corrected complexity for MinRank and rank decoding.
- J. Bariffi, K. Khathuria, V. Weger. Information Set Decoding for Lee-Metric Codes Using Restricted Balls. Code-Based Cryptography Workshop 2022, 2022.Faster ISD for Lee-metric syndrome decoding.
- E. Bellini, J. Chavez-Saab, J. Chi-Domínguez, A. Esser, S. Ionica, L. Rivera-Zamarripa et al. Parallel Isogeny Path Finding with Limited Memory. INDOCRYPT 2022, 2022.Cost estimates and GPU implementation of MITM vs vOW for supersingular fixed-degree isogeny path.
- D. J. Bernstein. Multi-ciphertext security degradation for lattices. Cryptology ePrint Archive, Paper 2022/1580, 2022.Multi-ciphertext degradation of primal lattice attacks; FrodoKEM-640 claim refuted.
- M. Bertin. Matrix Algebraic Systems and Application to DAGS Cryptanalysis. Dissertation (Agence Bibliographique de l'Enseignement Supérieur), 2022.Improved algebraic key-recovery attack on DAGS quasi-dyadic Srivastava codes.
- M. Bertin. Systèmes algébriques matriciels et applicatiοn à la cryptanalyse de DAGS. Normandy University, Caen, France, 2022.Thesis improving algebraic structural key recovery on quasi-dyadic DAGS; breaks new parameters.
- W. Beullens. Breaking Rainbow Takes a Weekend on a Laptop. CRYPTO 2022, 2022.Structural key recovery on Rainbow; SL1 key recovered in 53 laptop hours.
- L. Bi, X. Lu, J. Luo, K. Wang. Hybrid Dual and Meet-LWE Attack. ACISP 2022, 2022.Hybrid Meet-LWE plus dual attack for sparse ternary LWE, FHE parameters.
- X. Bonnetain, A. Chailloux, A. Schrottenloher, Y. Shen. Finding Many Collisions via Reusable Quantum Walks - Application to Lattice Sieving. EUROCRYPT 2023, 2023.Chained quantum walks for many collisions; improved quantum sieving exponent for SVP.
- X. Bonnetain, A. Chailloux, A. Schrottenloher, Y. Shen. Finding many Collisions via Reusable Quantum Walks. EUROCRYPT 2023, 2023.Reusable quantum walks for multi-collisions; improves quantum sieving SVP exponent.Same work as dblp:conf-eurocrypt-BonnetainCSS23; counted there, weight 0 here.
- K. Boudgoust, E. Gachon, A. Pellet-Mary. Some Easy Instances of Ideal-SVP and Implications on the Partial Vandermonde Knapsack Problem. CRYPTO 2022, 2022.Easy ideal-SVP instances from automorphism-stable ideals; breaks partial Vandermonde knapsack instances.
- M. Bros. Cryptanalyse algébrique et contributions à la cryptographie post-quantique basée sur les codes correcteurs d’erreurs en métrique rang. University of Limoges, France, 2022.Thesis introducing MaxMinors/SupportMinors algebraic attacks on rank decoding and MinRank.
- J. Cao, Q. Cheng, X. Li, Y. Pan. BS: Blockwise Sieve Algorithm for Finding Short Vectors from Sublattices. ICICS 2022, 2022.Blockwise sieve algorithm for short vectors from sublattices.
- S. S. Carita, H. Kabetta. MODIFICATION OF POLLARD RHO ALGORITHM USING NEGATION MAPPING. BAREKENG: Jurnal Ilmu Matematika dan Terapan, 2022.Pollard rho with negation map on small curves; measured speedup.
- K. Carrier, C. Meyer-Hilfiger, Y. Shen, J. Tillich. Assessing the Impact of a Variant of MATZOV's Dual Attack on Kyber. CRYPTO 2025, 2025.New dual attack with polar-code decoding replacing modulus switching; Kyber estimates.
- K. Carrier, T. Debris-Alazard, C. Meyer-Hilfiger, J. Tillich. Statistical Decoding 2.0: Reducing Decoding to LPN. ASIACRYPT 2022, 2022.Statistical decoding via LPN reduction beats ISD at low code rates.
- W. Castryck, T. Decru. An efficient key recovery attack on SIDH. EUROCRYPT 2023, 2023.Castryck-Decru polynomial-time SIDH key recovery; breaks SIKEp434 in minutes.
- W. Castryck, M. Houben, F. Vercauteren, B. Wesolowski. On the decisional Diffie-Hellman problem for class group actions on oriented elliptic curves. ANTS (Algorithmic Number Theory Symposium), 2022.Weil pairing character evaluation breaks DDH for oriented-curve class group actions.
- J. Chi-Domínguez. Applying Castryck-Decru Attack on the Masked Torsion Point Images SIDH variant. Cryptology ePrint Archive, Paper 2022/1667, 2022.Castryck-Decru attack still applies to masked torsion point SIDH variant.
- S. Cho, S. Seo. HybridRAM: The first quantum approach for key recovery attacks on Rainbow. CoRR, 2022.Quantum rectangular MinRank key recovery on Rainbow.
- B. Clinton, W. S. S. jun. Square form factorization. II. Bulletin of the Polish Academy of Sciences Mathematics, 2022.New subexponential SQUFOF2 factoring algorithm.
- H. David, H. Markus. A deterministic algorithm for finding \(r\)-power divisors. Research in Number Theory, 2022.Deterministic algorithm finding r-power divisors; improved rigorous factoring bounds for such N.
- A. Didier, C. Guy, N. Abderrahmane. Cryptanalysis of the multi-power RSA cryptosystem variant. CANS 2022, 2022.Coppersmith-based attacks on multi-power RSA and its CRT variant.
- Z. Dong, S. Tian, K. Wang, C. Lv. Subfield Attacks on HSVP in Ideal Lattices. Inscrypt 2022, 2022.Subfield attacks on Hermite-SVP in ideal lattices exploit ring structure.
- L. Ducas. BDGL overhead. Institutional repository, 2022.Estimating hidden overheads of BDGL lattice sieving.
- L. Ducas. Estimating the Hidden Overheads in the BDGL Lattice Sieving Algorithm. PQCrypto 2022, 2022.Experimental estimate of BDGL sieving overhead for cost models.
- F. Elbro, C. Majenz. An Algebraic Attack Against McEliece-like Cryptosystems Based on BCH Codes. IEEE ITW 2023, 2023.Algebraic key recovery on BCH-based McEliece variant.
- A. Esser, S. Ramos-Calderer, E. Bellini, J. I. Latorre, M. Manzano. Hybrid Decoding -- Classical-Quantum Trade-Offs for Information Set Decoding. PQCrypto 2022, 2022.Hybrid classical-quantum ISD trading qubits for speedup.
- A. Esser, F. Zweydinger. New Time-Memory Trade-Offs for Subset Sum -- Improving ISD in Theory and Practice. EUROCRYPT 2023, 2023.Subset-sum time-memory trade-offs for ISD; QC-3138 record; lowered NIST parameter estimates.
- A. Esser. Revisiting Nearest-Neighbor-Based Information Set Decoding. IMA Cryptography and Coding (IMACC) 2023, 2023.Corrected Both-May nearest-neighbor ISD analysis and fixed-weight NN approach.
- M. Fukase, M. Kaminaga. Improving genetic algorithms for solving the SVP: focusing on low memory consumption and high reproducibility. Iran J. Comput. Sci., 2022.Improved genetic algorithm for SVP.
- S. D. Galbraith, Y. Lai. Attack on SHealS and HealS: the Second Wave of GPST. PQCrypto 2022, 2022.GPST-style key recovery breaking SHealS/HealS isogeny encryption.
- A. Ghatak. Extending Coggia-Couvreur attack on Loidreau's rank-metric cryptosystem. Designs, Codes and Cryptography, 2021.Extends distinguisher-based key recovery on Loidreau rank-metric scheme.
- T. Glaser, A. May. How to Enumerate LWE Keys as Narrow as in Kyber/Dilithium. CANS 2023, 2023.Representation-based enumeration of narrow LWE keys as in Kyber/Dilithium.
- H. Guo, J. Ding. Algebraic Relation of Three MinRank Algebraic Modelings. WAIFI 2022, 2022.Algebraic relations among support-minors, Kipnis-Shamir and minors MinRank modelings.
- W. Guo, F. Fu. Cryptanalysis and Repair of a Gabidulin Code Based Cryptosystem from ACISP 2018. ACISP 2022, 2022.Structural cryptanalysis of a Gabidulin-code-based cryptosystem.
- Q. Guo, E. Mårtensson, P. S. Wagner. Modeling and Simulating the Sample Complexity of solving LWE using BKW-Style Algorithms. Cryptography and Communications, 2023.Sample complexity modeling of BKW distinguishers for LWE.
- J. Ha, J. Lee, J. Heo. Resource analysis of quantum computing with noisy qubits for Shor’s factoring algorithms. Quantum Information Processing, 2022.Surface-code physical qubit/time estimates for Shor's factoring.
- D. Harvey, M. Hittmeir. A log-log speedup for exponent one-fifth deterministic integer factorisation. Mathematics of Computation, 2021.Improved rigorous deterministic integer factorisation complexity.
- Y. Hashimoto. Key recovery attack on Hufu-UOV. JSIAM Letters, 2019.Key recovery attack on structured UOV variant Hufu-UOV; title only.
- M. Hhan, J. Kim, C. Lee, Y. Son. A Hybrid of Lattice-reduction and Meet-LWE via Near-Collision on Babai's Plane. Designs, Codes and Cryptography, 2026.Hybrid primal lattice and approximate Meet-LWE attack for sparse-secret LWE.
- F. Hörmann, H. Bartz, A. Horlemann. Distinguishing and Recovering Generalized Linearized Reed-Solomon Codes. Code-Based Cryptography Workshop 2022, 2022.Distinguisher and structural recovery for generalized linearized RS codes in McEliece variants.
- K. Jang, H. Kim, H. Seo. Quantum Gauss-Jordan Elimination for Code in Quantum. 2022 International Conference on Platform Technology and Service (PlatCon), 2022.Quantum Gauss-Jordan circuit with resource estimate as core module of quantum ISD.
- S. Kanzawa, H. Miura, Y. Nogami, Y. Kodera, T. Kusaka. A Method to Eliminate Fruitless Cycles for Pollard's Rho Method by Splitting a Seed-point Table for a Random Walk. 2022 Tenth International Symposium on Computing and Networking (CANDAR), 2022.Reducing fruitless cycles in Pollard rho with skew Frobenius on BN curves.
- S. Kanzawa, H. Miura, Y. Kodera, Y. Nogami, T. Kusaka. Effectiveness of a Method to Eliminate Fruitless Cycles for Pollard's Rho Method. 2022 37th International Technical Conference on Circuits/Systems, Computers and Communications (ITC-CSCC), 2022.Fruitless-cycle elimination for parallel Pollard rho on BN curves.
- P. Karpman, C. Lefevre. Time-Memory tradeoffs for large-weight syndrome decoding in ternary codes. PKC 2022, 2022.Time-memory tradeoffs for large-weight ternary syndrome decoding.
- J. Kim, C. Lee. Finding small roots for bivariate polynomials over the ring of integers. Advances in Mathematics of Communications, 2024.New Coppersmith-style small-root algorithm over number-field rings; generic attack machinery.
- KIM, SUNYEOP, KIM, INSUNG, S. Kim, S. Hong. Toffoli gate count Optimized Space-Efficient Quantum Circuit for Binary Field Multiplication. Quantum Inf. Process., 2024.Toffoli-optimized quantum binary-field multiplication for Shor on binary curves.
- E. Kirshanova, A. May. Breaking Goppa-Based McEliece with Hints. Information and Computation, 2023.Polynomial-time Goppa key recovery from partial Goppa-point knowledge; algebraic structure of Goppa codes.
- E. Kirshanova, A. May. Decoding McEliece with a Hint - Secret Goppa Key Parts Reveal Everything. SCN 2022, 2022.Recovering Goppa McEliece key from partial secret key hints.
- H. Lao, H. Chen. An algorithm for generalized syndrome decoding problem. Advances in Mathematics of Communications, 2022.ISD-style algorithm for generalized syndrome decoding with parameter estimates.
- H. T. Larasati, D. S. C. Putranto, R. W. Wardhani, H. Kim. Reducing the Depth of Quantum FLT-Based Inversion Circuit. IEEE Access, 2023.Lower-depth quantum binary-field inversion circuit for Shor ECDLP resource cost.
- R. Lior, S. Gil. A fully-constructive discrete-logarithm preprocessing algorithm with an optimal time-space tradeoff. ITC, 2022.Fully constructive generic DL preprocessing algorithm with optimal time-space tradeoff.
- J. Liu, H. Wang, Z. Ma, Q. Duan, Y. Fei, X. Meng. Quantum Circuit Optimization for Solving Discrete Logarithm of Binary Elliptic Curves Obeying the Nearest-Neighbor Constrained. Entropy, 2022.Quantum circuit optimization for binary-curve ECDLP under nearest-neighbor constraints.
- H. Liu, X. Wang, K. Yang, Y. Yu. The Hardness of LPN over Any Integer Ring and Field for PCG Applications. EUROCRYPT 2024, 2024.Attacks, estimates and reductions for LPN over rings/fields in PCG settings.
- L. Luan, C. Gu, Y. Zheng, Y. Shi. Lattice Enumeration with Discrete Pruning: Improvement, Cost Estimation and Optimal Parameters. Cryptology ePrint Archive, Paper 2022/1067, 2022.Improved discrete-pruning enumeration with cost simulator.
- L. Lv, B. Yan, H. Wang, Z. Ma, Y. Fei, X. Meng et al. Using Variational Quantum Algorithm to Solve the LWE Problem. Entropy, 2022.Variational quantum algorithms for LWE via BDD and uSVP with qubit counts.
- L. Maino, C. Martindale. An attack on SIDH with arbitrary starting curve. Cryptology ePrint Archive, Paper 2022/1026, 2022.Subexponential torsion-point attack on SIDH with arbitrary starting curve.
- A. May, J. Nowakowski, S. Sarkar. Approximate Divisor Multiples -- Factoring with Only a Third of the Secret CRT-Exponents. EUROCRYPT 2022, 2022.Coppersmith-type partial key exposure factoring CRT-RSA with a third of exponent bits.
- A. May, L. Schlieper. Quantum Period Finding is Compression Robust. FSE / ToSC 2022, 2022.Hashed period finding cuts qubits for Shor/Ekera-Hastad RSA factoring (and Simon).
- G. D. Micheli, D. Micciancio. A fully classical LLL algorithm for modules. Cryptology ePrint Archive, Paper 2022/1356, 2022.Classical LLL-type algorithm for module lattices, dequantizing Lee et al.
- G. R. Moghissi, A. Payandeh. Optimal bounding function for GNR-enumeration. International Journal of Mathematical Sciences and Computing, 2022.Search algorithms for optimal pruning functions in GNR enumeration.
- G. R. Moghissi, A. Payandeh. Revised Method for Sampling Coefficient Vector of GNR-enumeration Solution. International Journal of Mathematical Sciences and Computing, 2022.Improved sampling of GNR enumeration solutions for BKZ simulation used in parameter selection.
- S. Nakamura, Y. Wang, Y. Ikematsu. A New Analysis of the Kipnis-Shamir Method Solving the MinRank Problem. IEICE Transactions, 2023.New complexity analysis of Kipnis-Shamir MinRank modelling via multi-degree solving degree.Same work as eprint:2020-908; counted there, weight 0 here.
- S. Nakamura, N. Tateiwa, M. Yasuda, K. Fujisawa. Solving the search-LWE problem over projected lattices. Discrete Applied Mathematics, 2022.Algorithm for search-LWE via projected lattices; title only.
- S. Narisada, K. Fukushima, S. Kiyomoto. Multiparallel MMT: Faster ISD Algorithm Solving High-Dimensional Syndrome Decoding Problem. IEICE Transactions, 2023.GPU multiparallel MMT ISD; solves 510-550 decoding challenge instances.
- A. Nitaj, M. R. K. Ariffin, N. N. H. Adenan, T. S. C. Lau, J. Chen. Security Issues of Novel RSA Variant. IEEE Access, 2022.Continued-fraction and Coppersmith attacks on cubic Pell RSA variant.
- B. A. O. Development and comparison of quantum oracle models for the hybrid attack on post-quantum lattice-based cryptosystems. Prikladnaya Diskretnaya Matematika, 2022.Quantum oracle resource bounds for hybrid GaussSieve SVP attack on NIST finalists.
- S. Okumura, S. Uemura, M. Kudo. Revisiting Lattice-Based Attacks Using Trace Map for Ring-LWE. ISITA 2022, 2022.Trace-map lattice attacks on Ring-LWE revisited; title only.
- R. Oudompheng, G. Pope. A Note on Reimplementing the Castryck-Decru Attack and Lessons Learned for SageMath. Cryptology ePrint Archive, Paper 2022/1283, 2022.Faster SageMath reimplementation of Castryck-Decru SIDH attack.
- A. Porwal, L. Holzbaur, H. Liu, J. Renner, A. Wachter-Zeh, V. Weger. Interleaved Prange: A New Generic Decoder for Interleaved Codes. PQCrypto 2022, 2022.New Prange-style generic decoder for random interleaved codes with cost analysis.
- D. S. C. Putranto, R. W. Wardhani, H. T. Larasati, H. Kim. Another Concrete Quantum Cryptanalysis of Binary Elliptic Curves. IEEE Access, 2023.Depth-optimized quantum circuits for Shor on binary-curve ECDLP.
- S. K. Ravva, S. R. M. Krishna. Cryptanalysis of RSA with small difference of primes and two decryption exponents: Jochemsz and May approach. Cryptologia, 2022.Jochemsz-May lattice attack on RSA with close primes and two exponents.
- S. Rawal, I. Gupta. Solution of Large Sparse System of Linear Equations over GF(2) on a Multi Node Multi GPU Platform. Defence Science Journal, 2022.Multi-GPU block Wiedemann for NFS linear algebra; speed-oriented implementation.
- D. Robert. Breaking SIDH in polynomial time. EUROCRYPT 2016, 2016.Polynomial-time classical break of SIDH with arbitrary starting curve.
- O. Robinson. An Implementation of the Extended Tower Number Field Sieve using 4d Sieving in a Box and a Record Computation in Fp4. CoRR, 2022.ExTNFS implementation and 512-bit F_p^4 DLP record.
- T. Rothvoß, M. Venzin. Approximate \(\)\mathrm CVP_\(\) in Time \(\)2^0.802 n\(\) - Now in Any Norm! Integer Programming and Combinatorial Optimization, 2022.Approximate CVP algorithm in time 2^0.802n for any norm.
- A. T. Sadiq, T. S. Atia, A. S. Awad. Integer Factorization Problem Solving Using Tabu Search. Journal of Wasit for Science and Medicine, 2022.Tabu search heuristic for integer factorization; low impact.
- E. Sakk. Computational Refinements for Post-Quantum Elliptic Curve Security. 2022 6th International Conference on Cryptography, Security and Privacy (CSP), 2022.Review plus refinements of quantum extended Euclid for Shor ECDLP.
- M. C. Santos, C. Costello, S. Frengley. An algorithm for efficient detection of \((N,N)\)-splittings and its application to the isogeny problem in dimension 2. PKC 2024, 2024.Splitting detection speeds best attack on dimension-2 superspecial isogeny problem.
- L. Schlieper. Quantum cryptanalysis with minimal amount of qubits. Ruhr University Bochum, Germany, 2022.Thesis on qubit-minimal quantum period finding (Shor/Ekera-Hastad, Simon).
- M. C. Semmouni, A. Nitaj, M. Belkasmi. Cryptanalysis of RSA with smooth prime sum. Journal of Discrete Mathematical Sciences & Cryptography, 2023.Polynomial-time factoring of RSA moduli with smooth prime sum key equations.
- W. Shi, H. Jiang, Z. Ma. Solving HNP with One Bit Leakage: An Asymmetric Lattice Sieving Algorithm. Entropy, 2022.Asymmetric sieving algorithm solving HNP with 1-bit nonce leakage.
- R. Skuratovskii. Optimal Method of Integer Factorization. WSEAS TRANSACTIONS ON INFORMATION SCIENCE AND APPLICATIONS, 2022.GNFS implementation and factor-base choice analysis; weak contribution.
- K. Somsuk. An Efficient Variant of Pollard’s p − 1 for the Case That All Prime Factors of the p − 1 in B-Smooth. Symmetry, 2022.Faster Pollard p-1 variant.
- H. Song, X. Liu, D. Jiang, J. An. Grover algorithm circuit optimization and noise analysis on integer factorization. 2022 7th International Conference on Intelligent Computing and Signal Processing (ICSP), 2022.Hybrid Grover factoring circuit optimization with noise analysis.
- K. E. Stange. Factoring using multiplicative relations modulo n: a subexponential algorithm inspired by the index calculus. Cryptology ePrint Archive, Paper 2022/1588, 2022.New subexponential index-calculus-style factoring algorithm.
- S. Staško. Sieving in factoring algorithms. Institutional repository, 2022.Thesis analysing QS/NFS sieving variants, proposes own quadratic sieve variant.
- T. Takahashi, S. Okumura, A. Miyaji. On the Weakness of Ring-LWE mod Prime Ideal \(\mathfrak {q}\) by Trace Map. Selected Areas in Cryptography (SAC) 2022, 2022.Weak Ring-LWE instances modulo prime ideal via trace map.
- K. Thorsten, W. Benjamin. Discrete logarithms in quasi-polynomial time in finite fields of fixed characteristic. Journal of the AMS, 2021.Provable quasi-polynomial DLP in fixed-characteristic finite fields.
- F. L. Tiplea, V. Dragoi. Generalized Inverse Based Decoding. IEEE ISIT 2022, 2022.Generalized-inverse framework and solvers for syndrome decoding and low-weight codewords.
- B. Tran, S. Vaudenay. Solving the Learning Parity with Noise Problem Using Quantum Algorithms. AFRICACRYPT 2022, 2022.Quantum algorithms for solving LPN.
- S. M. V. Number-theoretical methods of factoring composite numbers and calculating the discrete logarithm. Cybernetics and Systems Analysis, 2022.Number-theoretic methods for factoring and discrete log; title only.
- A. Wakasugi, M. Tada. Security analysis for BIKE, Classic McEliece and HQC against the quantum ISD algorithms. Cryptology ePrint Archive, Paper 2022/1771, 2022.Quantum ISD security estimates for BIKE, Classic McEliece and HQC.
- L. Wang, W. Xia, G. Wang, B. Wang, D. Gu. Improved Pump and Jump BKZ by Sharp Simulator. Cryptology ePrint Archive, Paper 2022/468, 2022.pnj-BKZ simulator and jump strategy; faster lattice reduction.
- B. Wang, X. Yang, D. Zhang. Research on Quantum Annealing Integer Factorization Based on Different Columns. Frontiers in Physics, 2022.Quantum annealing factoring model improvements; 22-bit integer factored.
- E. Wenger, M. Chen, F. Charton, K. Lauter. SALSA: Attacking Lattice Cryptography with Transformers. NeurIPS, 2022.Transformer-based ML attack recovering sparse binary LWE secrets.
- B. Wesolowski. Understanding and improving the Castryck-Decru attack on SIDH. HAL, 2022.Simplified, faster Castryck-Decru attack on SIDH with proof.
- M. Wronski. Practical Solving of Discrete Logarithm Problem over Prime Fields Using Quantum Annealing. Computational Science – ICCS 2022, 2022.Prime-field DLP reduced to QUBO; toy instances solved on D-Wave annealer.
- H. Wu, G. Xu. Enhancing the Dual Attack against MLWE: Constructing More Short Vectors Using Its Algebraic Structure. Cryptology ePrint Archive, Paper 2022/1661, 2022.Dual attack on MLWE/RLWE using rotations of short dual vectors.
- H. Wu, J. Zhuang. Improving the Gaudry-Schost algorithm for multidimensional discrete logarithms. Designs, Codes and Cryptography, 2021.Improved Gaudry-Schost variants for multidimensional DLP.
- H. Wu, X. Wang, G. Xu. On the Dual Attack of LWE Schemes in the Presence of Hints. Cryptology ePrint Archive, Paper 2022/1403, 2022.Fourier-analytic dual attack framework incorporating hints; estimates for Kyber768 and FireSaber.
- H. Wu, X. Wang, G. Xu. Reducing an LWE Instance by Modular Hints and its Applications to Primal Attack, Dual Attack and BKW Attack. Cryptology ePrint Archive, Paper 2022/1404, 2022.Reduces LWE instances using modular hints; improves primal, dual and BKW attacks.
- H. Wu, J. Zhuang. Syndrome decoding meets multiple instances. CoRR, 2022.ISD in multiple-instance and decoding-one-out-of-many settings.
- W. Xia, L. Wang, GengWang, D. Gu, B. Wang. Refined Strategy for Solving LWE in Two-step Mode. Cryptology ePrint Archive, Paper 2022/1343, 2022.Optimal progressive BKZ plus sieve strategy search for primal LWE cost.
- J. Yamaguchi, T. Shimizu, K. Furukawa, R. Ohori, T. Shimoyama, A. Mandal et al. ANNEALING-BASED ALGORITHM FOR SOLVING CVP AND SVP. Journal of the Operations Research Society of Japan, 2022.Ising-model annealing methods for SVP/CVP with Darmstadt challenge experiments.
- z. zhang. An SVP attack on Vortex. Cryptology ePrint Archive, Paper 2022/1754, 2022.SVP-based cost analysis of Vortex's underlying SIS problem; two parameter sets fall short.
- A. Zhang, X. Feng. Applications of Quantum Annealing in Cryptography. J. Syst. Sci. Complex., 2025.QUBO reduction for annealing; largest annealer factorization; also block cipher attacks.
- Z. Zhao, G. Xu. On the Measurement and Simulation of the BKZ Behavior for q-ary Lattices. Inscrypt 2022, 2022.Measurement and simulation of BKZ behaviour on q-ary lattices.
- Z. Zhao, J. Ding. Several Improvements on BKZ Algorithm. CSCML, 2023.BKZ improvements giving 2^3-2^4 speedup; solved 656-dim ideal lattice challenge in 380 thread-hours.
- Y. R. Zhu, D. Joseph, C. Ling, F. Mintert. Iterative quantum optimization with an adaptive problem Hamiltonian for the shortest vector problem. Physical Review A, 2022.Iterative quantum optimization algorithm for SVP; small numerical examples.
2021139 items2021.bib
- S. I. Abubakar, S. Shehu. Exploiting the security of N = prqs through approximation of ϕ(N). Discrete Mathematics, Algorithms and Applications, 2021.Continued fraction and LLL attacks factoring prime-power moduli N=p^r q^s.
- D. Aggarwal, Z. Li, N. Stephens-Davidowitz. n/2-Time Algorithm for \(\sqrt{n}\)-SVP and \(\sqrt{n}\)-Hermite SVP, and an Improved Time-Approximation Tradeoff for (H)SVP. EUROCRYPT 2021, 2021.2^n/2 algorithm for sqrt(n)-SVP and improved time-approximation tradeoff.Same work as dblp:journals-corr-abs-2007-09556; counted there, weight 0 here.
- M. Andrzejczak, K. Gaj. A Multiplatform Parallel Approach for Lattice Sieving Algorithms. Algorithms and Architectures for Parallel Processing, 2020.Hardware-accelerated parallel lattice sieving architecture for SVP.
- M. A. Asbullah, N. N. A. Rahman, M. R. K. Ariffin, N. R. Salim. Factoring the Modulus of Type N = p2q by Finding Small Solutions of the Equation er − (Ns + t) = αp2 + βq2. Mathematics, 2021.Lattice/Diophantine attacks factoring N=p^2q under special key relations.
- P. Atnashev, G. Woltman. Prime pairing in algorithms searching for smooth group order. Cryptology ePrint Archive, Paper 2021/1462, 2021.Prime pairing speeds stage 2 of P-1, P+1 and ECM factoring.
- R. Azarderakhsh, J. Biasse, R. E. Khatib, B. Langenberg, B. Pring. Parallelism strategies for the tuneable golden-claw finding problem. International Journal of Computer Mathematics: Computer Systems Theory, 2021.Parallel Grover claw-finding cost model and resource estimates for SIKE instances.
- J. Baena, P. Briaud, D. Cabarcas, R. Perlner, D. Smith-Tone, J. Verbel. Improving Support-Minors rank attacks: applications to G\(e\)MSS and Rainbow. CRYPTO 2022, 2022.Improved Support-Minors MinRank attacks on GeMSS and Rainbow.
- A. O. Bakharev. Development and analysis of oracle for the hibrid attack on a cryptographic system NTRU using a quantum search algorithm. Prikladnaya Diskretnaya Matematika, 2021.Quantum oracle qubit/depth bounds for hybrid quantum-classical SVP attack on NTRU.
- S. Barbero, E. Bellini, C. Sanna, J. Verbel. Practical complexities of probabilistic algorithms for solving Boolean polynomial systems. Discrete Applied Mathematics, 2022.Practical complexity of probabilistic Boolean polynomial system solvers.
- B. Bauer, G. Fuchsbauer, A. Plouviez. The One-More Discrete Logarithm Assumption in the Generic Group Model. ASIACRYPT 2021, 2021.Proves OMDL and one-more CDH hard in generic group model.
- H. Bennett, A. Ganju, P. Peetathawatchai, N. Stephens-Davidowitz. Just how hard are rotations of \(\mathbb{Z}^n\)? Algorithms and cryptography with the simplest lattice. EUROCRYPT 2023, 2023.2^(n/2) algorithm for SVP in rotations of Z^n via reduction to approx uSVP.
- O. Bernard, A. Lesavourey, T. Nguyen, A. Roux-Langlois. Log-\(\mathcal{S}\)-unit lattices using Explicit Stickelberger Generators to solve Approx Ideal-SVP. ASIACRYPT 2022, 2022.Twisted-PHS ideal-SVP experiments with log-S-unit lattices up to degree 210.Same work as dblp:conf-asiacrypt-BernardLNR22; counted there, weight 0 here.
- O. Bernard, A. Lesavourey, T. Nguyen, A. Roux-Langlois. S-unit Lattices Using Explicit Stickelberger Generators to Solve Approx Ideal-SVP. ASIACRYPT 2022, 2022.S-unit lattice algorithm for approx ideal-SVP.
- D. J. Bernstein, T. Lange. Non-randomness of S-unit lattices. Cryptology ePrint Archive, Paper 2021/1428, 2021.S-unit lattices shorter than spherical models predict; strengthens S-unit attacks.
- L. Bi, X. Lu, J. Luo, K. Wang, Z. Zhang. Hybrid Dual Attack on LWE with Arbitrary Secrets. Cybersecurity (Springer), 2022.Hybrid dual attack for arbitrary secrets; re-estimates NIST round-3 LWE schemes.
- J. Bi, L. Han. Lattice Attacks on NTRU Revisited. IEEE Access, 2021.Dimension-reduction lattice attack on NTRU; key is shortest vector.
- M. Bombar, A. Couvreur. Decoding supercodes of Gabidulin codes and applications to cryptanalysis. PQCrypto 2021, 2021.Decoding Gabidulin supercodes; polynomial attacks on Ramesses and Liga.
- P. Briaud, J. Tillich, J. Verbel. A polynomial time key-recovery attack on the Sidon cryptosystem. Selected Areas in Cryptography (SAC) 2021, 2021.Polynomial-time key recovery on Sidon cryptosystem via subfield MinRank solutions.
- R. Bricout. Comment utiliser des algorithmes quantiques pour remplir son sac à dos et décoder des syndromes. (How to use quantum algorithms to solve the knapsack problem and the syndrome decoding problem). Sorbonne University, Paris, France, 2021.Thesis: quantum-walk algorithms for syndrome decoding and knapsack.
- A. Budroni, Q. Guo, T. Johansson, E. Mårtensson, P. S. Wagner. Improvements on Making BKW Practical for Solving LWE. Cryptography (MDPI), 2021.Improved BKW reduction and secret recovery for LWE, with implementations.
- M. Burger, C. Bischof, J. Krämer. A new Parallelization for p3Enum and Parallelized Generation of Optimized Pruning Functions. HPCS, 2019.Faster parallel pruned enumeration SVP solver.
- J. Cao, Y. Pan, Q. Cheng. A Lattice Reduction Algorithm Based on Sublattice BKZ. ProvSec 2021, 2021.Sublattice-BKZ lattice reduction algorithm.
- A. Chailloux, T. Debris-Alazard, S. Etinski. Classical and Quantum algorithms for generic Syndrome Decoding problems and applications to the Lee metric. PQCrypto 2021, 2021.Classical and quantum ISD for general weight functions; Lee metric.
- A. Chailloux, J. Loyer. Lattice sieving via quantum random walks. ASIACRYPT 2021, 2021.Quantum random-walk sieving improves quantum SVP exponent.
- Y. Chen, Q. Liu, M. Zhandry. Quantum Algorithms for Variants of Average-Case Lattice Problems via Filtering. EUROCRYPT 2022, 2022.Quantum polynomial-time algorithms for SIS/LWE/EDCP variants via filtering.
- H. Chen. Ring-LWE over two-to-power cyclotomics is not hard. Cryptology ePrint Archive, Paper 2021/418, 2021.Claimed polynomial-time attack on power-of-two cyclotomic Ring-LWE; not accepted.
- J. H. Cheon, Y. Son, D. Yhee. Practical FHE parameters against lattice attacks. Cryptology ePrint Archive, Paper 2021/039, 2021.Secure parameter selection for sparse-secret LWE in FHE.
- M. Cherkaoui-Semmouni, A. Nitaj, W. Susilo, J. Tonien. Cryptanalysis of RSA Variants with Primes Sharing Most Significant Bits. ISC (Information Security Conference) 2021, 2021.Factoring RSA variants when primes share MSBs; lattice/weak-key attack.
- J. Chi-Domínguez, F. Rodríguez-Henríquez, B. Smith. Extending the GLS endomorphism to speed up GHS Weil descent using Magma. Finite Fields and Their Applications, 2021.GLS endomorphism speeds GHS Weil descent; DLP over F_2^(5*31) solved.
- A. Couvreur, M. Lequesne. On the Security of Subspace Subcodes of Reed-Solomon Codes for Public Key Encryption. IEEE Transactions on Information Theory, 2022.Twisted-product distinguisher and key recovery on subspace subcodes of Reed-Solomon codes.
- R. Cramer, L. Ducas, B. Wesolowski. Mildly Short Vectors in Cyclotomic Ideal Lattices in Quantum Polynomial Time. Journal of the ACM, 2021.Quantum poly-time mildly short vectors in cyclotomic ideal lattices.
- M. B. Crawford. A Novel AQC Factoring Algorithm. 2021.Graph-theoretic factoring algorithm and adiabatic quantum formulation; exploratory.
- D. Dachman-Soled, H. Gong, H. Kippen, A. Shahverdi. BKW Meets Fourier: New Algorithms for LPN with Sparse Parities. TCC 2021, 2021.BKW plus Fourier algorithms for sparse-secret LPN.
- P. Dartois, L. D. Feo. On the security of OSIDH. PKC 2022, 2022.New attack on OSIDH breaking proposed parameters.
- J. Deaton, J. Ding. The Distinguishing Attack on HFE. Cryptology ePrint Archive, Paper 2021/050, 2021.Rank-distribution distinguisher for HFE public keys with small degree.
- E. Doulgerakis, T. Laarhoven, B. d. Weger. The irreducible vectors of a lattice. Designs, Codes and Cryptography, 2022.Irreducible vectors theory explaining sieving; applications to SVP/CVPP.
- L. Ducas, W. v. Woerden. A note on a Claim of Eldar & Hallgren: LLL already solves it. Cryptology ePrint Archive, Paper 2021/1391, 2021.Shows LLL classically solves BDD instances claimed for Eldar-Hallgren quantum algorithm.
- L. Ducas, M. Stevens, W. v. Woerden. Advanced Lattice Sieving on GPUs, with Tensor Cores. EUROCRYPT 2021, 2021.GPU tensor-core sieving in G6K; SVP challenge record dimension 180 with stated resources.
- L. Ducas, W. v. Woerden. NTRU Fatigue: How Stretched is Overstretched? ASIACRYPT 2021, 2021.Asymptotic and concrete analysis of overstretched NTRU fatigue point.
- L. Ducas, W. v. Woerden. NTRUFatigue. Institutional repository, 2021.Experiments and predictions for overstretched NTRU attacks.
- F. Eisenbrand, M. Venzin. Approximate CVP in time 20.802. Journal of Computer and System Sciences, 2021.Faster approximate CVP algorithm.
- M. Ekerå. Quantum algorithms for computing general discrete logarithms and orders with tradeoffs. Journal of Mathematical Cryptology, 2021.Quantum algorithms for general DL and order finding with tradeoffs.
- P. Elbaz–Vincent, E. Marcatel. An extension of the fpLLL library to Hermitian lattices. ACM Commun. Comput. Algebra, 2021.New Hermitian floating-point LLL variant in fpLLL; faster reduction over number fields.
- M. Epelde, E. F. Combarro, I. F. Rúa. Quantum approximate optimization of the coset leader problem for binary linear codes. Computational and Mathematical Methods, 2021.QAOA applied to coset leader/syndrome decoding problem, simulated.
- M. S. Esseissah, A. Bhery, S. S. Daoud, H. M. Bahig. Three Strategies for Improving Shortest Vector Enumeration Using GPUs. Scientific Programming, 2021.GPU improvements to pruned SVP enumeration.
- A. Esser, S. Ramos-Calderer, E. Bellini, J. I. Latorre, M. Manzano. An Optimized Quantum Implementation of ISD on Scalable Quantum Resources. Cryptology ePrint Archive, Paper 2021/1608, 2021.Quantum circuit and resource estimates for Prange ISD with hybrid trade-offs.
- A. Esser, A. May, F. Zweydinger. McEliece needs a Break -- Solving McEliece-1284 and Quasi-Cyclic-2918 with Modern ISD. EUROCRYPT 2022, 2022.MMT/BJMM implementations solve McEliece-1284 and QC-2918 records; extrapolates NIST parameters.
- A. Esser, E. Bellini. Syndrome Decoding Estimator. PKC 2022, 2022.ISD framework and estimator giving bit security of code-based NIST parameters.
- M. Euler, C. Petit. New results on quasi-subfield polynomials. Finite Fields and Their Applications, 2021.Quasi-subfield polynomial factor bases for index calculus on ECDLP over extension fields.Same work as openalex:W2975184158; counted there, weight 0 here.
- T. B. Fouotsa, P. Kutas, S. Merz, Y. B. Ti. On the Isogeny Problem with Torsion Point Information. PKC 2022, 2022.Torsion-point reduction of SIDH-type isogeny recovery to endomorphism ring computation.
- C. Gidney, M. Ekerå. How to factor 2048 bit RSA integers in 8 hours using 20 million noisy qubits. Quantum, 2021.Quantum resource estimate for factoring RSA-2048.
- A. L. Gluher. Calcul symbolique et analyses de complexité pour la théorie des nombres et la cryptographie. University of Lorraine, Nancy, France, 2021.Thesis: precise NFS asymptotics and filtering simulation for runtime prediction.
- A. L. Gluher. Symbolic Computation and Complexity Analyses for Number Theory and Cryptography. (Calcul symbolique et analyses de complexité pour la théorie des nombres et la cryptographie). University of Lorraine, Nancy, France, 2021.Precise NFS asymptotic complexity and simulation-based running-time prediction for key sizes.Same work as openalex:W4392228281; counted there, weight 0 here.
- É. Gouzien, N. Sangouard. Factoring 2048-bit RSA Integers in 177 Days with 13 436 Qubits and a Multimode Memory. Physical Review Letters, 2021.Quantum resource estimate for factoring RSA-2048 with multimode memory.
- R. Granger, T. Kleinjung, A. K. Lenstra, B. Wesolowski, J. Zumbrägel. Computation of a 30750-bit binary field discrete logarithm. Mathematics of Computation, 2021.30750-bit binary field DL record, about 2900 core-years.
- Q. Guo, T. Johansson. Faster Dual Lattice Attacks for Solving LWE with Applications to CRYSTALS. ASIACRYPT 2021, 2021.Faster dual lattice attacks on LWE applied to CRYSTALS parameters.
- Q. Guo, E. Mårtensson, P. S. Wagner. On the Sample Complexity of solving LWE using BKW-Style Algorithms. IEEE ISIT 2021, 2021.BKW distinguisher sample complexity and pruned FFT distinguisher for LWE.
- W. Guo, F. Fu. Polynomial-Time Key Recovery Attack on the Lau-Tan Cryptosystem Based on Gabidulin Codes. CoRR, 2021.Polynomial-time structural key recovery on Gabidulin-based Lau-Tan scheme.
- Y. Hashimoto. An improvement of algorithms to solve under-defined systems of multivariate quadratic equations. JSIAM Letters, 2023.New algorithm for underdetermined MQ systems; MAYO security analysis.
- N. N. Hegade, K. Paul, F. Albarrán-Arriagada, X. Chen, E. Solano. Digitized adiabatic quantum factorization. Physical Review A, 2021.Digitized adiabatic quantum factoring algorithm tested on IBM hardware.
- N. Hegde, P. Deepthi. Comparison of Modified Pollard Rho for Discrete Logarithm Problem with the Original. International Journal of Research in Engineering Science and Management, 2021.Pollard rho variant for ECDLP with stack-based cycle detection.
- M. Heiser. Improved Quantum Hypercone Locality Sensitive Filtering in Lattice Sieving. Cryptology ePrint Archive, Paper 2021/1295, 2021.Improved quantum hypercone LSF sieve, 2^0.2571d time for SVP.
- I. v. Hoof, E. Kirshanova, A. May. Quantum Key Search for Ternary LWE. PQCrypto 2021, 2021.Quantum-walk representation attacks on ternary LWE/NTRU keys.
- M. N. Hovd. A Successful Subfield Lattice Attack on a Fully Homomorphic Encryption Scheme. ISC (Information Security Conference), 2021.Subfield lattice attack breaks all practical instantiations of NTRU-based FHE scheme.
- M. A. Huang. On the last fall degree of Weil descent polynomial systems. Finite Fields and Their Applications, 2021.Last fall degree bounds for Weil descent systems, machinery for ECDLP decomposition attacks.
- A. Ibrahim, A. G. Chefranov, R. Hamamreh. Ciphertext-only attack on RSA using lattice basis reduction. Int. Arab J. Inf. Technol., 2021.Title only: ciphertext-only lattice-reduction attack on RSA.
- Y. Ikematsu, S. Nakamura, M. Yasuda. A Trace Map Attack Against Special Ring-LWE Samples. IWSEC 2021, 2021.Trace-map structural attack on special Ring-LWE samples.
- R. Janga, R. Padmavathy, S. K. Pal, R. Sadam. A Framework for Filtering Step of Number Field Sieve and Function Field Sieve. IETE Journal of Research, 2021.Framework for the NFS/FFS filtering step reducing linear algebra cost.
- H. T. Kalachi, H. T. Kamche. Solving the Rank Decoding Problem Over Finite Principal Ideal Rings. Advances in Mathematics of Communications, 2024.Algorithms solving rank decoding over finite principal ideal rings; title only.
- S. Kandiy, G. Maleeva. Analysis of the complexity of attacks on multivariate cryptographic transformations using algebraic field structure. Radiotekhnika, 2021.Analyzes field-structure attacks on UOV variants and obstacles to extend them to Rainbow.
- Y. Kaptol. Quantum attack against post-quantum electronic signature complexity and implementation probability analysis. Physico-mathematical modelling and informational technologies, 2021.Analysis of classical and quantum attack complexity against Rainbow variants.
- P. Kirchner, T. Espitau, P. Fouque. Towards Faster Polynomial-Time Lattice Reduction. CRYPTO 2021, 2021.Faster polynomial-time lattice reduction algorithms.
- E. Kirshanova, A. May. How to Find Ternary LWE Keys Using Locality Sensitive Hashing. IMA Cryptography and Coding (IMACC) 2021, 2021.LSH-based meet-in-the-middle for ternary LWE/NTRU keys; lowers concrete MitM estimates.
- E. Kirshanova, T. Laarhoven. Lower bounds on lattice sieving and information set decoding. CRYPTO 2021, 2021.Lower bounds on nearest-neighbor search for sieving and ISD.
- P. Kuo, C. Cheng, W. Li, B. Yang. Parallelization on Gauss Sieve Algorithm over Ideal Lattice. J. Inf. Sci. Eng., 2021.Multi-GPU Gauss sieve exploiting ideal structure; ideal SVP solved to dimension 130.
- P. Kutas, S. Merz, C. Petit, C. Weitkämper. One-way functions and malleability oracles: Hidden shift attacks on isogeny-based protocols. EUROCRYPT 2021, 2021.Quantum hidden-shift attacks on overstretched SIDH via malleability oracles.
- T. Laarhoven. Approximate Voronoi cells for lattices, revisited. Journal of Mathematical Cryptology, 2020.Approximate Voronoi cells improve iterative slicer CVP bounds.
- T. Laarhoven, M. Walter. Dual lattice attacks for closest vector problems (with preprocessing). CT-RSA 2021, 2021.Dual attacks for CVP/BDD with preprocessing; asymptotic and concrete costs.
- T. S. C. Lau, C. H. Tan, T. F. Prabowo. On the security of the modified Dual-ouroboros PKE using Gabidulin codes. Applicable Algebra in Engineering, Communication and Computing, 2020.Security analysis/attack on modified Dual-Ouroboros Gabidulin rank-metric PKE.
- A. Lesavourey, T. Plantard, W. Susilo. On the Short Principal Ideal Problem over some real Kummer fields. Cryptology ePrint Archive, Paper 2021/1623, 2021.Short principal ideal problem and log-unit lattice over real Kummer fields.
- A. Lesavourey. Usability of structured lattices for a post-quantum cryptography: practical computations, and a study of some real Kummer extensions. Research Online (University of Wollongong), 2021.Thesis on SPIP and log-unit attacks in structured lattices, Kummer extensions.
- S. Li, S. Fan, X. Lu. Attacking ECDSA Leaking Discrete Bits with a More Efficient Lattice. Inscrypt 2021, 2021.More efficient lattice for HNP with leaked ECDSA nonce bits; solving under hints.
- S. Li, X. Lu, J. Zhang, B. Li, L. Bi. Predicting the Concrete Security of LWE Against the Dual Attack Using Binary Search. ICICS 2021, 2021.Predicting LWE concrete security against the dual attack.
- H. Liu, Y. Yu. A Non-heuristic Approach to Time-space Tradeoffs and Optimizations for BKW. ASIACRYPT 2022, 2022.Non-heuristic BKW variant with time-space tradeoffs for LPN and LWE.
- L. Liu, M. Xu, G. Zhou. Analysis and Improvements to the Special Number Field Sieve for Discrete Logarithm Problems. 2021 IEEE 5th International Conference on Cryptography, Security and Privacy (CSP), 2021.SNFS polynomial selection and 653-bit safe-prime DLP computation.
- X. Liu, H. Yang, L. Yang. CNOT-count optimized quantum circuit of the Shor's algorithm. arXiv, 2021.CNOT-optimized Shor circuit with gate-count resource estimate for n-bit factoring.
- A. May. How to Meet Ternary LWE Keys. CRYPTO 2021, 2021.Representation-technique MITM for ternary LWE/NTRU keys.
- A. May, J. Nowakowski, S. Sarkar. Partial Key Exposure Attack on Short Secret Exponent CRT-RSA. ASIACRYPT 2021, 2021.Coppersmith partial key exposure attack on short-exponent CRT-RSA.
- G. d. Micheli. Cryptanalyses de logarithmes discrets : crible algébrique et réseaux pour canaux auxiliaires. University of Lorraine, Nancy, France, 2021.Thesis: TNFS complexity, 521-bit TNFS record DL, plus lattice side-channel work.
- G. D. Micheli. Discrete Logarithm Cryptanalyses : Number Field Sieve and Lattice Tools for Side-Channel Attacks. (Cryptanalyses de logarithmes discrets : crible algébrique et réseaux pour canaux auxiliaires). University of Lorraine, Nancy, France, 2021.Thesis: NFS/TNFS complexity, 521-bit DL record, lattice tools for exponent leakage.Same work as openalex:W7027626139; counted there, weight 0 here.
- G. D. Micheli, P. Gaudry, C. Pierrot. Lattice Enumeration for Tower NFS: a 521-bit Discrete Logarithm Computation. ASIACRYPT 2021, 2021.First TNFS implementation; 521-bit GF(p^6) discrete log record via lattice enumeration sieving.
- H. Miura, S. Kanzawa, R. Matsumura, Y. Kodera, T. Kusaka, Y. Nogami. Sophisticated analysis of a method to eliminate fruitless cycles for Pollard's rho method with skew Frobenius mapping over a Barreto-Naehrig curve. International Journal of Networking and Computing, 2021.Eliminating fruitless cycles in Pollard rho with Frobenius on BN curves.Journal extension of dblp:conf-ic-nc-MiuraMKN20; counted at 0.33.
- G. R. Moghissi, A. Payandeh. Better Sampling Method of Enumeration Solution for BKZ-Simulation. ISC Int. J. Inf. Secur., 2021.Improved BKZ simulation and pruned-enumeration cost approximation.
- R. Mora, J. Tillich. On the dimension and structure of the square of the dual of a Goppa code. Designs, Codes and Cryptography, 2022.Rigorous square-code dimension bounds explaining Goppa/alternant distinguisher.
- M. Mukhopadhyay, P. Sarkar. Combining Montgomery Multiplication with Tag Tracing for the Pollard's Rho Algorithm in Prime Order Fields. SPACE, 2022.Montgomery multiplication in tag-tracing Pollard rho for prime-field DLP.
- P. Mukhopadhyay. Faster Provable Sieving Algorithms for the Shortest Vector Problem and the Closest Vector Problem on Lattices in ℓp Norm. Algorithms, 2021.Faster provable sieving for SVP/CVP in lp norms.
- M. Mumtaz, P. Luo. Cryptanalysis of a Special Case of RSA Large Decryption Exponent Using Lattice Basis Reduction Method. 2021 IEEE 6th International Conference on Computer and Communication Systems (ICCCS), 2021.Lattice-reduction attack on RSA special case with large decryption exponent.
- S. Nakamura, M. Yasuda. An Extension of Kannan's Embedding for Solving Ring-Based LWE Problems. IMA Cryptography and Coding (IMACC) 2021, 2021.Extended Kannan embedding exploiting ring structure for ring-based LWE.
- S. Nakamura, M. Yasuda. Dynamic self-dual DeepBKZ lattice reduction with free dimensions and its implementation. Discrete Applied Mathematics, 2021.Improved self-dual DeepBKZ reduction with implementation.Journal extension of dblp:conf-icmc2-NakamuraIY20; counted at 0.33.
- S. Narisada, K. Fukushima, S. Kiyomoto. Fast GPU Implementation of Dumer's Algorithm Solving the Syndrome Decoding Problem. 2021 IEEE Intl Conf on Parallel & Distributed Processing with Applications, Big Data & Cloud Computing, Sustainable Computing & Communications, Social Computing & Networking (ISPA/BDCloud/SocialCom/SustainCom), 2021.GPU Dumer ISD solves 1161-length Goppa-McEliece decoding challenge in 380 hours.
- A. Nitaj, M. R. K. Ariffin, N. N. H. Adenan, D. S. Merenda, A. Ahmadian. Exponential Increment of RSA Attack Range via Lattice Based Cryptanalysis. Multimedia Tools and Applications, 2021.Coppersmith-based extension of small private exponent RSA attacks.
- R. M. O. The South Caicos factoring algorithm. Integers, 2021.New probabilistic factoring algorithm with O(max(U,V)^1/2+e) cost.
- P. Pallab, A. Das. AVX-512-based Parallelization of Block Sieving and Bucket Sieving for the General Number Field Sieve Method. Proceedings of the 18th International Conference on Security and Cryptography, 2021.AVX-512 parallelization of GNFS sieving for speed.
- Y. Pan, J. Xu, N. Wadleigh, Q. Cheng. On the Ideal Shortest Vector Problem over Random Rational Primes. EUROCRYPT 2021, 2021.Polytime SVP for many prime ideals via decomposition groups in cyclotomics.
- S. Perriello, A. Barenghi, G. Pelosi. A Complete Quantum Circuit to Solve the Information Set Decoding Problem. 2021 IEEE International Conference on Quantum Computing and Engineering (QCE), 2021.Complete quantum ISD circuit with costs on NIST code-based parameters.
- S. Perriello, A. Barenghi, G. Pelosi. A Quantum Circuit to Speed-Up the Cryptanalysis of Code-Based Cryptosystems. Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, 2021.Quantum circuit speeding up ISD cryptanalysis of code-based systems.
- A. Plouviez. Securité de l'hypothèse One-More Discrete-Logarithm et des signatures de Schnorr aveugles. École Normale Supérieure, Paris, France, 2021.Thesis proving OMDL hardness in the generic group model; plus blind Schnorr in AGM.
- A. Plouviez. The security of the One-More Discrete-Logarithm assumption and Blind Schnorr Signatures. (Securité de l'hypothèse One-More Discrete-Logarithm et des signatures de Schnorr aveugles). École Normale Supérieure, Paris, France, 2021.Thesis: OMDL hardness in generic group model, plus blind Schnorr analysis.Same work as openalex:W4393365463; counted there, weight 0 here.
- S. Pohmann, M. Stevens, J. Zumbrägel. Lattice Enumeration on GPUs for fplll. Cryptology ePrint Archive, Paper 2021/430, 2021.GPU lattice enumeration for fplll; implementation whose point is SVP speed.
- C. Porter, C. Ling. Reduction Theory of Algebraic Modules and their Successive Minima. arXiv, 2021.Extends Minkowski/HKZ/BKZ reduction theory to module lattices with successive-minima bounds.
- C. Porter, A. Mendelsohn, C. Ling. Subfield Algorithms for Ideal- and Module-SVP Based on the Decomposition Group. Banach Center Publications, 2023.Uses decomposition group of cyclotomic fields to reduce dimension of ideal/module SVP instances.
- N. Rodrigues, B. Lackey. Quantum Lattice Sieving. arXiv, 2021.Quantum lattice sieving with polynomial memory for SVP.
- M. S. Rossi, L. Asproni, D. Caputo, S. Rossi, A. Cusinato, R. Marini et al. Using Shor’s algorithm on near term Quantum computers: a reduced version. Quantum Machine Intelligence, 2022.Reduced Shor variant for factoring on near-term quantum devices.
- W. N. A. Ruzai, A. Nitaj, M. R. K. Ariffin, Z. Mahad, M. A. Asbullah. Increment of Insecure RSA Private Exponent Bound Through Perfect Square RSA Diophantine Parameters Cryptanalysis. Computer Standards & Interfaces, 2022.Continued-fraction and Coppersmith factoring of RSA with Diophantine weak exponents.
- S. B. Sadkhan. A Proposed Developments of Pollards Rho Method for Attacking the ECDLP. 2021 7th International Engineering Conference “Research & Innovation amid Global Pandemic" (IEC), 2021.Proposed rho modifications reducing operations for ECDLP.
- H. Satılmış, S. Akleylek, C. Lee. Efficient Implementations of Sieving and Enumeration Algorithms for Lattice-Based Cryptography. Mathematics, 2021.Faster implementations of GaussSieve, HashSieve, BKZ.
- C. P. Schnorr. Fast Factoring Integers by SVP Algorithms, corrected. Cryptology ePrint Archive, Paper 2021/933, 2021.Schnorr's SVP-based factoring claim, widely refuted; claimed RSA-breaking attack.
- A. V. Shoshina, G. I. Borzunov, E. Y. Ivanova. Application of Bio-inspired Algorithms to the Cryptanalysis of Asymmetric Ciphers on the Basis of Composite Number. 2021 IEEE Conference of Russian Young Researchers in Electrical and Electronic Engineering (ElConRus), 2021.Bio-inspired and deterministic factoring algorithm prototypes for RSA cryptanalysis; low rigour.
- K. Somsuk. The Improvement of Elliptic Curve Factorization Method to Recover RSA's Prime Factors. Symmetry, 2021.Improved elliptic curve factorization method for RSA primes.
- V. Srivastava, S. K. Debnath. Cryptanalysis of LRainbow: The Lifted Rainbow Signature Scheme. ProvSec 2021, 2021.Cryptanalysis of Lifted Rainbow multivariate scheme.
- T. Sulamithe, I. Sorina. Index calculus attacks on hyperelliptic Jacobians with efficient endomorphisms. Mathematical Cryptology (FAU), 2021.Index calculus on curves/genus-2 Jacobians over extensions using endomorphisms.
- A. Takeshige, H. Kosuge, H. Tanaka. Experimental Verification of Estimated Block Size of BKZ Algorithm Against LWE. ICISS, 2021.Experimental verification of estimated BKZ block size for LWE.
- C. Tao, A. Petzoldt, J. Ding. Efficient Key Recovery for All HFE Signature Variants. CRYPTO 2021, 2021.Efficient key recovery attack on all HFE signature variants.
- N. Tateiwa, Y. Shinano, K. Yamamura, A. Yoshida, S. Kaji, M. Yasuda et al. CMAP-LAP: Configurable Massively Parallel Solver for Lattice Problems. 2021 IEEE 28th International Conference on High Performance Computing, Data, and Analytics (HiPC), 2021.Massively parallel framework coordinating lattice reduction and SVP solvers.
- R. Thombre, B. Jajodia. Experimental Analysis of Attacks on RSA & Rabin Cryptosystems using Quantum Shor’s Algorithm. AIJR Proceedings, 2021.Toy Shor factoring experiments on IBM Quantum for RSA/Rabin.
- M. Trimoska. Combinatoire en cryptanalyse algébrique et logique. University of Picardie Jules Verne, Amiens, France, 2021.Thesis: SAT-based point decomposition for binary ECDLP index calculus, parallel collision search.
- M. Trimoska, S. Ionica, G. Dequen. Time-Memory Analysis of Parallel Collision Search Algorithms. CHES / TCHES 2021, 2021.Memory-efficient parallel collision search improving ECDLP attack runtime.Same work as eprint:2017-581; counted there, weight 0 here.
- S. Tsakou, S. Ionica. Index Calculus Attacks on Hyperelliptic Jacobians with Effective Endomorphisms. Cryptology ePrint Archive, Paper 2021/721, 2021.Endomorphism-reduced factor base index calculus on curves over extension fields.
- A. Udovenko, G. Vitto. Revisiting Meet-in-the-Middle Cryptanalysis of SIDH/SIKE with Application to the $IKEp182 Challenge. Selected Areas in Cryptography (SAC) 2022, 2022.Meet-in-the-middle solves $IKEp182 SIKE challenge with <10 core-years, 256TiB storage.
- S. Uemura, K. Fukushima, S. Kiyomoto, M. Kudo, T. Takagi. Shortest Vectors in Lattices of Bai-Galbraith's Embedding Attack on the LWR Problem. IWSEC 2021, 2021.Analysis of shortest vectors in Bai-Galbraith embedding lattices for LWR.
- K. Y. V., L. E. A. On decomposability of Schur-Hadamard product of the tensor products sum of Reed-Muller codes. Prikladnaya Diskretnaya Matematika, 2021.Schur-product structure of tensor-sum RM codes for structural-attack resistance of McEliece variant.
- K. Y. Vladimirovich, L. A. Andreevna. Cryptanalysis of the BBCRS system on Reed-Muller binary code. Bulletin of the South Ural State University. Series "Mathematical Modelling, Programming and Computer Software", 2021.Structural attack on BBCRS McEliece variant with Reed-Muller codes.
- M. Walter. The Convergence of Slide-Type Reductions. PKC 2021, 2021.Convergence analysis and faster practical variants of slide reduction.
- T. Wang, Y. Liu, J. Xu, L. Hu, Y. Tao, Y. Zhou. Integer LWE with Non-subgaussian Error and Related Attacks. ISC (Information Security Conference) 2021, 2021.Integer LWE with non-subgaussian error and attacks; title only.
- T. Wiggers, S. Samardjiska. Practically Solving LPN. IEEE ISIT 2021, 2021.Memory-constrained Coded-BKW solving largest reported LPN parameters in practice.
- M. Wronski. Index Calculus Method for Solving Elliptic Curve Discrete Logarithm Problem Using Quantum Annealing. Computational Science – ICCS 2021, 2021.Index calculus for ECDLP via quantum annealing (title only).
- K. Yamamura, Y. Wang, E. Fujisaki. Improved Lattice Enumeration Algorithms by Primal and Dual Reordering Methods. ICISC 2021, 2021.Improved enumeration via primal/dual reordering, integrated into BKZ.
- Y. Yang, Z. Shan, B. Zhao, L. Xu. Variational Quantum Algorithm and Its Application on Non-Linear Equations. Journal of Physics: Conference Series, 2021.Hybrid variational quantum factoring with reduced qubits, run on IBM QX4.
- X. Zhang, Z. Zheng, X. Wang. A detailed analysis of primal attack and its variants. Science China Information Sciences, 2021.Detailed cost analysis of primal lattice attack and variants.
2020164 items2020.bib
- A. Abdullah, A. Mahalanobis, V. M. Mallick. A new method for solving the elliptic curve discrete logarithm problem. Groups Complexity Cryptology, 2020.Initial-minors linear algebra approach to ECDLP, peer-reviewed, small experiments.
- A. Abdullah, A. Mahalanobis, V. M. Mallick. Initial minors - a conjecture to solve the elliptic curve discrete logarithm problem. CoRR, 2020.Initial-minors conjectural ECDLP approach, tested on 2^50-order groups.
- S. I. Abubakar, Z. Ibrahim, S. Shehu, R. AHMAD. Diophantine Attack on Prime Power With Modulus \(N=p^rq\). Proceedings of International Mathematical Sciences, 2020.Continued-fraction small decryption exponent attack on N=p^r q.
- D. Aggarwal, Y. Chen, R. Kumar, Y. Shen. Improved (Provable) Algorithms for the Shortest Vector Problem via Bounded Distance Decoding. STACS 2021, 2021.Improved provable classical and quantum SVP algorithms with time-memory tradeoff.
- D. Aggarwal, Y. Chen, R. Kumar, Y. Shen. Improved Classical and Quantum Algorithms for the Shortest Vector Problem via Bounded Distance Decoding. SIAM Journal on Computing, 2025.Improved provable classical and quantum SVP algorithms with time-memory tradeoff.
- D. Aggarwal, Z. Li, N. Stephens-Davidowitz. n/2-Time Algorithm for √n-SVP and √n-Hermite SVP, and an Improved Time-Approximation Tradeoff for (H)SVP. EUROCRYPT 2021, 2021.Faster algorithms for approximate SVP/HSVP with improved time-approximation tradeoff.
- M. R. Albrecht, S. Bai, P. Fouque, P. Kirchner, D. Stehlé, W. Wen. Faster Enumeration-based Lattice Reduction: Root Hermite Factor k^(1/(2k)) in Time k^(k/8 + o(k)). CRYPTO 2020, 2020.Enumeration-based lattice reduction reaching root Hermite factor k^(1/2k) in k^(k/8) time.
- M. R. Albrecht, S. Bai, J. Li, J. Rowell. Lattice Reduction with Approximate Enumeration Oracles: Practical Algorithms and Concrete Performance. CRYPTO 2021, 2021.Faster polynomial-space BKZ using approximate enumeration oracles.
- D. Apon, D. Moody, R. Perlner, D. Smith-Tone, J. Verbel. Combinatorial Rank Attacks Against the Rectangular Simple Matrix Encryption Scheme. PQCrypto 2020, 2020.Combinatorial rank and reaction attacks on rectangular Simple Matrix encryption.
- D. Apon, R. Perlner, A. Robinson, P. Santini. Cryptanalysis of LEDAcrypt. CRYPTO 2020, 2020.Weak-key classes and recovery algorithm breaking LEDAcrypt QC-LDPC.
- A. S. K. B, S. Biswas, P. P. Kurur. Efficacy of the Metropolis Algorithm for the Minimum-Weight Codeword Problem Using Codeword and Generator Search Spaces. IEEE Transactions on Evolutionary Computation, 2020.Metropolis heuristic for minimum-weight codeword finding; title only.
- L. Babinkostova, A. Chin, A. Kirtland, V. Nazarchuk, E. Plotnick. The Ring Learning With Errors Problem: Smearing Condition. Journal of Mathematical Cryptology, 2022.Smearing conditions for RLWE-to-PLWE reduction attacks.
- L. Babinkostova, A. Chin, A. Kirtland, V. Nazarchuk, E. Plotnick. The polynomial learning with errors problem and the smearing condition. Journal of Mathematical Cryptology, 2022.Smearing-condition analysis and smearing-based attack on PLWE.Same work as openalex:W3048669827; counted there, weight 0 here.
- H. M. Bahig, D. I. Nassr, A. Bhery, A. Nitaj. A Unified Method for Private Exponent Attacks on RSA Using Lattices. FOCS 2020, 2020.Unified lattice method for small private exponent RSA attacks.
- H. M. Bahig, A. Mohammed, K. A., A. AlGhadhban, H. M. Performance Analysis of Fermat Factorization Algorithms. International Journal of Advanced Computer Science and Applications, 2020.Experimental comparison of nine Fermat-based factoring algorithms.
- G. Banegas, D. J. Bernstein, I. v. Hoof, T. Lange. Concrete quantum cryptanalysis of binary elliptic curves. CHES / TCHES 2021, 2021.Optimized quantum circuits and qubit/Toffoli counts for Shor on binary elliptic curves.
- M. Bardet, M. Bros, D. Cabarcas, P. Gaborit, R. A. Perlner, D. Smith-Tone et al. Algebraic attacks for solving the Rank Decoding and MinRank problems without Gröbner basis. ASIACRYPT 2020, 2020.Improved algebraic attacks on rank decoding and MinRank without Groebner bases.Same work as dblp:conf-asiacrypt-BardetBCGPSTV20; counted there, weight 0 here.
- M. Bardet, M. Bros, D. Cabarcas, P. Gaborit, R. A. Perlner, D. Smith-Tone et al. Improvements of Algebraic Attacks for Solving the Rank Decoding and MinRank Problems. ASIACRYPT 2020, 2020.Improved algebraic attacks on rank decoding and MinRank.
- D. C. Bastos, L. A. B. Kowada. A Quantum Version of Pollard's Rho of Which Shor's Algorithm is a Particular Case. COCOON, 2022.Quantum Pollard rho factoring generalizing Shor.
- O. Bernard, A. Roux-Langlois. Twisted-PHS: Using the Product Formula to Solve Approx-SVP in Ideal Lattices. ASIACRYPT 2020, 2020.Twisted-PHS algorithm for approx-SVP in ideal lattices with full implementation.
- W. Beullens. Improved Cryptanalysis of UOV and Rainbow. EUROCRYPT 2021, 2021.Intersection and rectangular MinRank attacks breaking Rainbow/UOV NIST parameter targets.
- A. S. Bhatia, A. Kumar. Quadratic Sieve Factorization Quantum Algorithm and its Simulation. CoRR, 2020.Title only: quantum quadratic sieve factoring algorithm and simulation.
- J. Biasse, B. Pring. A framework for reducing the overhead of the quantum oracle for use with Grover's algorithm with applications to cryptanalysis of SIKE. Journal of Mathematical Cryptology, 2020.Grover oracle cost reduction framework applied to SIKE quantum security.
- J. Biasse, X. Bonnetain, B. Pring, A. Schrottenloher, W. Youmans. A trade-off between classical and quantum circuit size for an attack against CSIDH. Journal of Mathematical Cryptology, 2020.Classical/quantum circuit-size trade-off for CSIDH hidden-shift attack.
- M. Bigdeli, E. D. Negri, M. M. Dizdarevic, E. Gorla, R. Minko, S. Tsakou. Semi-regular sequences and other random systems of equations. Cryptology ePrint Archive, Paper 2020/1375, 2020.Solving-degree bounds for semi-regular systems; Groebner cost for MQ and index calculus.
- F. Boudot, P. Gaudry, A. Guillevic, N. Heninger, E. Thomé, P. Zimmermann. Comparing the difficulty of factorization and discrete logarithm: a 240-digit experiment. CRYPTO 2020, 2020.RSA-240 factorization and 795-bit prime-field DLP records.
- M. A. Budiman, M. Zarlis, O. S. Sitompul, H. Mawengkang. On using Euler’s Factorization Algorithm to Factor RSA Modulus. Journal of Physics: Conference Series, 2020.Euler factorization implemented on small RSA moduli with timing study; low impact.
- A. Budroni, B. Chetioui, E. Franch. Attacks on Integer-RLWE. ICICS 2020, 2020.Attacks Integer-RLWE assumption, exploiting composite n structure to lower lattice attack cost.
- A. Budroni, Q. Guo, T. Johansson, E. Mårtensson, P. S. Wagner. Making the BKW Algorithm Practical for LWE. INDOCRYPT 2020, 2020.Improved BKW reduction steps and FWHT secret recovery for LWE with large-instance implementation.
- W. Castryck, J. Sotáková, F. Vercauteren. Breaking the decisional Diffie-Hellman problem for class group actions using genus theory -- extended version. Journal of Cryptology, 2022.Genus-theory characters break DDH for class group actions incl. CSIDH.
- P. Cayrel, C. T. Gueye, J. A. Khan, J. B. Klamti, E. Persichetti. Improvement of Binary and Non Binary Statistical Decoding Algorithm. ICISC 2019, 2019.Improved binary and non-binary statistical decoding for syndrome decoding.
- J. Chávez-Saab, J. Chi-Domínguez, S. Jaques, F. Rodríguez-Henríquez. The SQALE of CSIDH: Sublinear Vélu Quantum-resistant isogeny Action with Low Exponents. Journal of Cryptographic Engineering, 2022.Refined quantum collimation-sieve cost for CSIDH and parameter selection.
- H. Chen, L. Chua, K. Lauter, Y. Song. On the Concrete Security of LWE with Small Secret. Cryptology ePrint Archive, Paper 2020/539, 2020.Concrete uSVP attacks show small-secret LWE weaker than estimator; Darmstadt challenges solved.
- H. Chen. Sublattice Attack on Poly-LWE with Wide Error Distributions. Cryptology ePrint Archive, Paper 2020/440, 2020.Sublattice/subset-quadruple attack on structured LWE with wide errors.
- I. V. Chizhov, S. Koniukhov, A. M. DAVLETSHINA. Effective structural attack on McEliece-Sidelnikov public-key cryptosystem. 2020.Polynomial structural key recovery on McEliece-Sidelnikov (Reed-Muller) weak keys.
- I. V. Chizhov, E. Popova. Structural attack on McEliece-Sidelnikov type public-key cryptosystem based on a combination of random codes with Reed-Muller codes. 2020.Structural attack on McEliece-Sidelnikov variant combining random and Reed-Muller codes.
- D. Coggia, A. Couvreur. On the security of a Loidreau rank metric code based encryption scheme. Designs, Codes and Cryptography, 2020.Structural attack on Loidreau's Gabidulin-based rank-metric encryption scheme.Same work as dblp:journals-corr-abs-1903-02933; counted there, weight 0 here.
- D. Dachman-Soled, H. Gong, M. Kulkarni, A. Shahverdi. (In)Security of Ring-LWE Under Partial Key Exposure. Journal of Mathematical Cryptology, 2020.Ring-LWE hardness and key recovery under partial NTT-coordinate leakage.
- D. Dachman-Soled, L. Ducas, H. Gong, M. Rossi. LWE with Side Information: Attacks and Concrete Security Estimation. CRYPTO 2020, 2020.Framework integrating hints into primal lattice attacks with performance prediction toolkit.
- D. Dachman-Soled, H. Gong, M. Kulkarni, A. Shahverdi. Security of NewHope Under Partial Key Exposure. Association for Women in Mathematics Series, 2020.Hardness of NewHope RLWE under partial secret key exposure.
- N. David, P. Zimmermann. A new ranking function for polynomial selection in the number field sieve. 75 Years of Mathematics of Computation, 2020.New ranking function for NFS polynomial selection.
- T. Debris-Alazard, L. Ducas, W. P. J. v. Woerden. An Algorithmic Reduction Theory for Binary Codes: LLL and more. IEEE Transactions on Information Theory, 2022.LLL-style reduction theory for binary codes; polynomial speedup over Lee-Brickell ISD.
- C. Delaplace, A. May. 2 via Representation? Journal of Mathematical Cryptology, 2020.Representation-technique 4-list algorithm for ECDLP over F_p^2.
- C. Delaplace, P. Fouque, P. Kirchner, A. May. Solving ECDLP over F p with Pre-computation via Representation Technique. HAL, 2020.Representation-technique ECDLP algorithms with precomputation over extension fields.
- J. Ding, J. Deaton, Vishakha, B. Yang. The Nested Subset Differential Attack: A Practical Direct Attack Against LUOV which Forges a Signature within 210 Minutes. EUROCRYPT 2021, 2021.Nested subset differential attack on lifted structure forges LUOV signatures.
- E. Doulgerakis, T. Laarhoven, B. d. Weger. Sieve, Enumerate, Slice, and Lift: Hybrid Lattice Algorithms for SVP via CVPP. AFRICACRYPT 2020, 2020.Hybrid sieve/enumeration/CVPP SVP algorithm with asymptotic speedup.
- V. Dragoi, A. T. Lacatus, A. Popoviciu. Combinatorial Algorithms for Integer Syndrome Decoding Problem. SOFA, 2020.Algorithms for integer syndrome decoding (side-information variant of SD); title only.
- L. Ducas, M. Stevens, W. v. Woerden. G6K-GPU-Tensor. Institutional repository, 2020.GPU tensor-core lattice sieving software accompanying record-setting work.
- L. Ducas, T. Laarhoven, W. P. J. v. Woerden. The randomized slicer for CVPP: sharper, faster, smaller, batchier. PKC 2020, 2020.Sharper analysis and better trade-offs for randomized slicer solving CVPP.
- F. Eisenbrand, M. Venzin. Approximate \(\mathrm{CVP}_{\infty}\) in time \(2^{0.802 \, n}\). CoRR, 2020.2^0.802n constant-factor approximate CVP/SVP in any lp norm.
- F. Eisenbrand, M. Venzin. Approximate CVP_p in Time 2^0.802 n. Leibniz international proceedings in informatics, 2020.Constant-factor approximate SVP/CVP in l_p norms in 2^0.802n time.
- K. Eisenträger, S. Hallgren, C. Leonardi, T. Morrison, J. M. Park. Computing endomorphism rings of supersingular elliptic curves and connections to path-finding in isogeny graphs. ANTS (Algorithmic Number Theory Symposium) 2020, 2020.New algorithm for supersingular endomorphism rings and reduction to path-finding.
- M. Ekerå. On post-processing in the quantum algorithm for computing short discrete logarithms. Designs, Codes and Cryptography, 2020.Improved post-processing for Ekera-Hastad quantum short-DLP; applies to RSA and short-exponent DH.
- T. Espitau, A. Joux, N. Kharchenko. On a Dual/Hybrid Approach to Small Secret LWE - A Dual/Enumeration Technique for Learning with Errors and Application to Security Estimates of FHE Schemes. INDOCRYPT 2020, 2020.Dual/enumeration hybrid attack on small-secret LWE with FHE estimates.
- T. Espitau, A. Joux, N. Kharchenko. On a hybrid approach to solve small secret LWE. Cryptology ePrint Archive, Paper 2020/515, 2020.Hybrid dual attack on small-secret LWE; lowers TFHE security estimates.
- T. Espitau, P. Kirchner. The nearest-colattice algorithm: Time-approximation tradeoff for approx-CVP. ANTS (Algorithmic Number Theory Symposium) 2020, 2020.Nearest-colattice approx-CVP algorithm with time-approximation tradeoff.
- T. Espitau, P. Kirchner. The nearest-colattice algorithm. ANTS (Algorithmic Number Theory Symposium) 2020, 2020.Nearest-colattice approximate-CVP algorithm and reduction to SVP oracle.
- A. Esser, A. May. Low Weight Discrete Logarithm and Subset Sum in \(\)2^0.65n\(\) with Polynomial Memory. EUROCRYPT 2020, 2020.Polynomial-memory low-weight DLP algorithms in generic groups.
- H. Furue, K. Kinjo, Y. Ikematsu, Y. Wang, T. Takagi. A Structural Attack on Block-Anti-Circulant UOV at SAC 2019. PQCrypto 2020, 2020.Structural attack on block-anti-circulant UOV.
- S. D. Galbraith, R. Granger, S. Merz, C. Petit. On Index Calculus Algorithms for Subfield Curves. Selected Areas in Cryptography (SAC) 2020, 2020.Frobenius-invariant factor bases for index calculus on Koblitz curves.
- A. L. Gluher, P. Spaenlehauer, E. Thomé. Refined Analysis of the Asymptotic Complexity of the Number Field Sieve. Mathematical Cryptology (FAU), 2020.Refined asymptotic complexity of NFS showing slow convergence of o(1) term.
- E. Gorla, D. Mueller, C. Petit. Stronger bounds on the cost of computing Groebner bases for HFE systems. Journal of Symbolic Computation, 2022.Improved solving-degree and last-fall-degree bounds for HFE Groebner attacks.Same work as dblp:journals-jsc-GorlaMP22; counted there, weight 0 here.
- E. Gorla, D. Mueller, C. Petit. Stronger bounds on the cost of computing Gröbner bases for HFE systems. Journal of Symbolic Computation, 2022.Stronger bounds on Groebner basis cost for HFE systems.
- D. Harvey. An exponent one-fifth algorithm for deterministic integer factorisation. Mathematics of Computation, 2021.Deterministic integer factoring in exponent one-fifth time.
- T. Häner, S. Jaques, M. Naehrig, M. Roetteler, M. Soeken. Improved Quantum Circuits for Elliptic Curve Discrete Logarithms. PQCrypto 2020, 2020.Improved quantum circuits and resource estimates for Shor on EC.
- M. Hittmeir. A time-space tradeoff for Lehman's deterministic integer factorization method. Mathematics of Computation, 2018.Time-space tradeoff giving deterministic N^2/9 factoring.
- A. Hone. Efficient ECM factorization in parallel with the Lyness map. ISSAC 2020, 2020.New ECM variant via Lyness map scalar multiplication with parallel cost analysis.
- Y. Huang, Z. Su, F. Zhang, Y. Ding, R. Cheng. Quantum algorithm for solving hyperelliptic curve discrete logarithm problem. Quantum Information Processing, 2020.Quantum algorithm for hyperelliptic curve DLP.
- M. A. Huang, M. Kosters, C. Petit, S. L. Yeo, Y. Yun. Quasi-subfield Polynomials and the Elliptic Curve Discrete Logarithm Problem. Journal of Mathematical Cryptology, 2020.Quasi-subfield polynomials give index-calculus ECDLP algorithm beating exhaustive search.
- L. Hyang-Sook, L. Seongan, S. Kyunghwan, Y. Ikkwon. New orthogonality criterion for shortest vector of lattices and its applications. Discrete Applied Mathematics, 2020.New criterion for shortest lattice vectors with algorithmic applications; title only.
- Y. Ikematsu, R. Fukasaku, M. Kudo, M. Yasuda, K. Takashima, K. Yokoyama. Hybrid Meet-in-the-Middle Attacks for the Isogeny Path-Finding Problem. ACM CCS 2020, 2020.Hybrid MITM for isogeny path-finding.
- C. Interlando, K. Khathuria, N. Rohrer, J. Rosenthal, V. Weger. Generalization of the ball-collision algorithm. Journal of Algebra Combinatorics Discrete Structures and Applications, 2020.Ball-collision ISD generalized to F_q with complexity analysis.
- D. Jao, J. T. LeGrow, C. Leonardi, L. Ruiz-Lopez. A subexponential-time, polynomial quantum space algorithm for inverting the CM group action. Journal of Mathematical Cryptology, 2020.Subexponential polynomial-quantum-space algorithm inverting CM action; breaks CRS/CSIDH keys.
- S. Jaques, A. Schrottenloher. Low-gate Quantum Golden Collision Finding. Selected Areas in Cryptography (SAC) 2020, 2020.Low-gate quantum golden collision search lowering quantum security of SIKE-type MITM.
- L. Jiao. Specifications and improvements of LPN solving algorithms. IET Information Security, 2020.Improvements to LPN solving algorithms; title only.
- D. Joseph, A. Ghionis, C. Ling, F. Mintert. Not-so-adiabatic quantum computation for the shortest vector problem. Physical Review Research, 2020.Adiabatic-inspired quantum algorithms for approximate SVP.
- M. J. Josodipuro, K. V. I. Saputra, S. Lukas. Statistical Analysis of Pollard's Rho Attack on Elliptic Curve Cryptography. 2022 1st International Conference on Technology Innovation and Its Applications (ICTIIA), 2022.Statistical study of Pollard rho performance factors on ECDLP; weak.
- M. J. J. Jr., P. Kushwaha. Removable Weak Keys for Discrete Logarithm Based Cryptography. Journal of Cryptographic Engineering, 2020.Weak private keys from small divisors of p-1; counts on standard curves.
- G. Kanav, M. Kumar, H. Raddum. Obtuse Lattice Bases. arXiv, 2020.Obtuse bases to speed lattice enumeration for SVP.
- N. K. Kharchenko. Lattice algorithms and lattice-based cryptography. Dissertation (Agence Bibliographique de l'Enseignement Supérieur), 2020.Thesis: cylindrical sieving for SVP/CVPP and improved hybrid dual attack on TFHE.
- N. Kimura, A. Takayasu, T. Takagi. Improved Quantum Information Set Decoding Algorithm with Low Memory. ACISP 2023, 2023.Low-memory quantum information set decoding algorithm.
- P. Kirchner, P. Fouque. Getting Rid of Linear Algebra in Number Theory Problems. Cryptology ePrint Archive, Paper 2020/1619, 2020.Black-box modular ring algorithms avoiding linear algebra; weak-key factoring, DLP AT costs.
- N. Kunihiro. Quantum Factoring Algorithm: Resource Estimation and Survey of Experiments. International Symposium on Mathematics, Quantum Theory, and Cryptography, 2020.Shor resource estimation and critique of quantum factoring experiments.
- P. Kutas, C. Martindale, L. Panny, C. Petit, K. E. Stange. Weak instances of SIDH variants under improved torsion-point attacks. CRYPTO 2021, 2021.Improved torsion-point attacks and weak SIDH variants.Same work as eprint:2020-633; counted there, weight 0 here.
- Y. Lee, J. Cho, Y. S. Kim, J. No. Cryptanalysis of the Ivanov-Kabatiansky-Krouk-Rumenko Cryptosystems. IEEE Communications Letters, 2020.Polynomial-time structural attack on IKKR McEliece variants.
- C. Lee, A. Wallet. Lattice analysis on MiNTRU problem. Cryptology ePrint Archive, Paper 2020/230, 2020.Overstretched-NTRU analysis breaks MiNTRU parameters; smallest set broken in 15 hours.
- A. Lesavourey, T. Plantard, W. Susilo. Short Principal Ideal Problem in multicubic fields. Journal of Mathematical Cryptology, 2020.Short principal ideal problem algorithms in multicubic fields.
- J. Li, P. Q. Nguyen. A Complete Analysis of the BKZ Lattice Reduction Algorithm. Journal of Cryptology, 2024.Rigorous dynamic analysis of BKZ with approximate SVP oracles.
- L. Liu, M. Xu. Improvements to the Descent Step in the Number Field Sieve for Discrete Logarithms. 2020 International Conference on Computer, Information and Telecommunication Systems (CITS), 2020.Improved descent step allowing higher-degree ideals in NFS-DL.
- P. Longa, W. Wang, J. Szefer. The Cost to Break SIKE: A Comparative Hardware-Based Analysis with AES and SHA-3. CRYPTO 2021, 2021.Hardware-based budget cost model of vOW collision search against SIKE parameters.
- L. Luan, C. Gu, Y. Zheng. A Genetic Algorithm with Restart Strategy for Solving Approximate Shortest Vector Problem. 2020 12th International Conference on Advanced Computational Intelligence (ICACI), 2020.Genetic algorithm with restart for approximate SVP.
- S. Lyu, C. Porter, C. Ling. Lattice Reduction Over Imaginary Quadratic Fields. IEEE Transactions on Signal Processing, 2020.New algebraic LLL variant over imaginary quadratic rings; reduction algorithm itself is the contribution.
- A. Mariano. LUSA: the HPC library for lattice-based cryptanalysis. Cryptology ePrint Archive, Paper 2020/605, 2020.HPC parallel library of lattice reduction and SVP algorithms for cryptanalysis.
- A. Mariano, F. Cabeleira, G. Falcao, L. P. Santos. Optimized Voronoi-based algorithms for parallel shortest vector computations. Cryptology ePrint Archive, Paper 2020/1124, 2020.Optimized parallel Voronoi relevant-vectors SVP algorithm.
- E. Martin. On completely factoring any integer efficiently in a single run of an order finding algorithm. Quantum Information Processing, 2021.Complete factorization from a single order-finding run in Shor's algorithm.
- Y. Matsuda. Optimization of Search Space for Finding Very Short Lattice Vectors. IWSEC 2020, 2020.Optimized search space for finding very short lattice vectors (SVP algorithm).
- U. Maurer, C. Portmann, J. Zhu. Unifying Generic Group Models. Cryptology ePrint Archive, Paper 2020/996, 2020.Hierarchy of generic group models; tightens DL lower/upper bounds incl. preprocessing.
- J. D. Mauro. Canonical form of modular hyperbolas with an application to integer factorization. CoRR, 2020.Factoring algorithm from modular hyperbola solutions; competitiveness unclear.
- G. McGuire, O. Robinson. A New Angle on Lattice Sieving for the Number Field Sieve. arXiv, 2020.Faster 3D lattice sieving for NFS; record DL in F_p^6.
- G. McGuire, O. Robinson. Lattice Sieving in Three Dimensions for Discrete Log in Medium Characteristic. Journal of Mathematical Cryptology, 2020.3D lattice sieving for medium-characteristic NFS; record DLP in F_p^6.
- R. Mengoni, D. Ottaviani, P. Iorio. Breaking RSA Security With A Low Noise D-Wave 2000Q Quantum Annealer: Computational Times, Limitations And Prospects. arXiv, 2020.Quantum annealing factoring on D-Wave 2000Q; times and limits.
- G. D. Micheli, P. Gaudry, C. Pierrot. Asymptotic complexities of discrete logarithm algorithms in pairing-relevant finite fields. CRYPTO 2020, 2020.Asymptotic analysis of NFS/FFS/QP variants in pairing-relevant fields; improved shifted FFS.
- S. Minghao, Q. Longjiang, L. Chao. PBKZ algorithm and its application in lattice challenge. Journal of Henan Normal University. Natural Science, 2020.Progressive BKZ experiments giving best Darmstadt lattice challenge results in dims 600, 725.
- H. Miura, R. Matsumura, T. Kusaka, Y. Nogami. Analysis of a method to eliminate fruitless cycles for Pollard's rho method with skew Frobenius mapping over a Barreto-Naehrig curve. 2020 Eighth International Symposium on Computing and Networking (CANDAR), 2020.Eliminating fruitless cycles in rho with skew Frobenius map on BN curves.
- M. Mosca, J. Basso, S. R. Verschoor. On speeding up factoring with quantum SAT solvers. Scientific Reports, 2020.SAT circuit for NFS smoothness step aimed at quantum SAT solvers.
- M. Mukhopadhyay, P. Sarkar, S. Singh, E. Thome. New Discrete Logarithm Computation for the Medium Prime Case Using the Function Field Sieve. Advances in Mathematics of Communications, 2022.Record 1051-bit medium-prime field discrete log with function field sieve.
- M. Mumtaz, P. Luo. Cryptanalysis of RSA: A Special Case of Boneh-Durfee’s Attack. Cryptology ePrint Archive, Paper 2020/1214, 2020.Boneh-Durfee-style lattice attack factoring RSA with large private exponent.
- S. Murphy, M. Paterson, C. Swart. Boolean Ring Cryptographic Equation Solving. Selected Areas in Cryptography (SAC) 2020, 2020.New Boolean-ring solver for GF(2) polynomial systems; link to LPN.
- S. Nakamura, Y. Wang, Y. Ikematsu. Analysis on the MinRank Attack using Kipnis-Shamir Method Against Rainbow. IEICE Transactions, 2023.Improved Kipnis-Shamir MinRank complexity estimates for Rainbow.
- S. Nakamura, Y. Ikematsu, M. Yasuda. Dynamic Self-dual DeepBKZ Lattice Reduction with Free Dimensions. ICMC, 2020.Dynamic self-dual DeepBKZ reduction variant.
- S. Nakamura, Y. Ikematsu, Y. Wang, J. Ding, T. Takagi. New Complexity Estimation on the Rainbow-Band-Separation Attack. Theoretical Computer Science, 2021.Refined complexity estimate of Rainbow-Band-Separation attack using bivariate series.
- S. Nakamura, N. Tateiwa, K. Kinjo, Y. Ikematsu, M. Yasuda, K. Fujisawa. Solving the Search-LWE Problem by Lattice Reduction over Projected Bases. ICMC, 2020.Solving search-LWE via lattice reduction over projected bases.
- S. Narisada, H. Okada, K. Fukushima, S. Kiyomoto. Faster Rotation-Based Gauss Sieve for Solving the SVP on General Ideal Lattices. IEICE Transactions, 2021.Faster ideal and rotation-based Gauss sieve for more ideal lattice dimensions.
- H. Onuki, Y. Aikawa, T. Takagi. The Existence of Cycles in the Supersingular Isogeny Graphs Used in SIKE. ISITA 2020, 2020.Cycle structure of SIKE isogeny graphs relevant to path-finding hardness.
- A. Overmars, S. Venkatraman. Mathematical Attack of RSA by Extending the Sum of Squares of Primes to Factorize a Semi-Prime. Mathematical and Computational Applications, 2020.Sum-of-two-squares factoring method for semiprimes; weak but genuine algorithm.
- R. Perlner, D. Smith-Tone. Rainbow Band Separation is Better than we Thought. Cryptology ePrint Archive, Paper 2020/702, 2020.Tighter Rainbow band separation analysis; parameters miss claimed levels.
- E. W. Postlethwaite, F. Virdia. On the Success Probability of Solving Unique SVP via BKZ. PKC 2021, 2021.BKZ 2.0 uSVP success-probability simulation; re-estimates NIST lattice KEM finalists.
- B. Qi, J. Ma, K. Lv. Computing Interval Discrete Logarithm Problem with Restricted Jump Method. Fundamenta Informaticae, 2020.Restricted-jump speedup of Pollard kangaroo for interval DLP.
- X. Qian, J. Liu, C. Gu, Y. Zheng. An Improved BKW Algorithm For LWE With Binary Uniform Errors. 2020 5th International Conference on Computer and Communication Systems (ICCCS), 2020.Improved BKW for LWE with binary uniform errors, concrete bounds.
- L. Qiu, M. Alam, A. A. Saki, S. Ghosh. Resiliency analysis and improvement of variational quantum factoring in superconducting qubit. ISLPED, 2020.Circuit optimisations improving variational quantum factoring; quantum factoring algorithm work.
- V. d. Quehen, P. Kutas, C. Leonardi, C. Martindale, L. Panny, C. Petit et al. Improved torsion-point attacks on SIDH variants. CRYPTO 2021, 2021.Improved torsion-point attacks on SIDH variants and GSIDH; backdoor parameter constructions.
- A. M. R., B. Shi, F. Pierre-Alain, K. Paul, S. Damien, W. Weiqiang. Faster enumeration-based lattice reduction: root Hermite factor \(k^1/(2k)\) time \(k^k/8+o(k)\). CRYPTO 2020, 2020.Faster enumeration-based lattice reduction with improved time/quality.
- E. Rutkowski, S. K. Houghten. Cryptanalysis of RSA: Integer Prime Factorization Using Genetic Algorithms. 2020 IEEE Congress on Evolutionary Computation (CEC), 2020.Genetic-algorithm integer factorization method; weak but an algorithm for factoring.
- H. Satılmış, S. Akleylek. Efficient Implementation of HashSieve Algorithm for Lattice-Based Cryptography. Inscrypt 2020, 2020.Faster HashSieve implementation for SVP.
- H. Satılmış, S. Akleylek. Efficient Implementations of Gauss-Based Sieving Algorithms. 2020 28th Signal Processing and Communications Applications Conference (SIU), 2020.Faster implementations of GaussSieve/ProGaussSieve for SVP.
- J. M. Schanck. Improving post-quantum cryptography through cryptanalysis. University of Waterloo, Ontario, Canada, 2020.Thesis revising quantum attack cost estimates for SIKE and lattice/NTRU.
- F. Sica. Factoring with Hints. Journal of Mathematical Cryptology, 2020.Deterministic factoring of N=pq given factorizations of nearby integers.
- P. v. d. Sluis. Cryptanalysis of lattice-based Cryptography.The effect of sparse ternary secrets on the hardness of Learning with Errors. Dissertation (institution not recorded), 2020.Thesis on effect of sparse ternary secrets on LWE hardness.
- K. Somsuk. Improving the initial values of VFactor suitable for balanced modulus. International Journal of Electrical and Computer Engineering (IJECE), 2020.Better initial values for VFactor on close-prime RSA moduli.
- K. Somsuk. The new integer factorization algorithm based on Fermat’s Factorization Algorithm and Euler’s theorem. International Journal of Electrical and Computer Engineering (IJECE), 2020.Fermat factorization variant using Euler's theorem; elementary factoring algorithm.
- J. Soukup. Kryptograficky slabé eliptické křivky a specializované útoky na ECDLP. Czech Technical University Digital Library (Czech Technical University in Prague), 2020.Thesis implementing Smart's anomalous-curve attack, timed versus BSGS and rho.
- Z. Sun, C. Gu, Y. Zheng. An Efficient Sieve Algorithm with Evolutionary Technique. 2020 IEEE 20th International Conference on Communication Technology (ICCT), 2020.Gauss sieve with evolutionary selection outperforming FPLLL sieve for SVP.
- Z. Sun, C. Gu, Y. Zheng. Block Sieve Reduction: A New Random Sampling Reduction Algorithm Based on Sieve Algorithms. ICCSP, 2020.Block sieve reduction: random sampling reduction combined with sieving.
- C. Sun, M. Tibouchi, M. Abe. Revisiting the Hardness of Binary Error LWE. ACISP 2020, 2020.Arora-Ge attacks and hardness results for binary-error LWE vs sample count.
- Z. Sun, C. Gu, Y. Zheng. Using SubSieve Technique to Accelerate TupleSieve Algorithm. IEICE Transactions, 2020.SubSieve accelerates tuple sieving for SVP.
- D. Štumpf. Cryptoanalysis of a Post-quantum Cryptography Algorithm. Institutional repository, 2020.Thesis estimating primal and dual attack costs against NIST round-2 lattice KEMs.
- Y. Takahashi, M. Kudo, R. Fukasaku, Y. Ikematsu, M. Yasuda, K. Yokoyama. Algebraic approaches for solving isogeny problems of prime power degrees. Journal of Mathematical Cryptology, 2020.Groebner-basis algorithms for prime-power isogeny problems on SIKE-size prime.
- C. Tao, A. Petzoldt, J. Ding. Improved Key Recovery of the HFEv- Signature Scheme. Cryptology ePrint Archive, Paper 2020/1424, 2020.Structural key recovery on HFEv- exploiting HFE structure; GeMSS affected.
- N. Tateiwa, Y. Shinano, S. Nakamura, A. Yoshida, S. Kaji, M. Yasuda et al. Massive Parallelization for Finding Shortest Lattice Vectors Based on Ubiquity Generator Framework. SC, 2020.Massively parallel SVP solver on 100,032 cores solving Darmstadt SVP challenge instances.
- S. Tian. Translating the Discrete Logarithm Problem on Jacobians of Genus 3 Hyperelliptic Curves with (ℓ , ℓ , ℓ )-Isogenies. Journal of Cryptology, 2021.Transfers genus-3 hyperelliptic DLP via isogenies to weaker curves for index calculus.
- T. Tom, A. Tamang, A. S. Garia, A. Shaji, D. Sahu. Implementation of Integer Factorization Algorithm with Pisano Period. Data Science and Security, 2020.Pisano-period factorization algorithm implementation; no abstract.
- M. Trimoska, S. Ionica, G. Dequen. Parity (XOR) Reasoning for the Index Calculus Attack. CP, 2020.XOR-aware SAT solving for summation-polynomial index calculus on ECDLP.
- N. M. V. Modified Gaudry-Schost algorithm for the two-dimensional discrete logarithm problem. Matematicheskie Voprosy Kriptografii, 2020.Modified Gaudry-Schost for two-dimensional ECDLP with order-6 automorphism.
- S. Varadharajan. Hard Mathematical Problems in Cryptography and Coding Theory. Institutional repository, 2020.Thesis with BDD-based factoring and other hard-problem attacks; mixed coding content.
- S. Varshney, P. Charpe, R. Padmavathy, S. K. Pal. Relation collection using Pollard special-q sieving to solve integer factorization and discrete logarithm problem. The Journal of Supercomputing, 2020.Special-q sieving relation collection for factoring and DLP.
- Y. Wang, Y. Ikematsu, K. Akiyama, T. Takagi. Cryptanalysis of GiophantusTM Schemes against Hybrid Attack. ACM CCS 2020, 2020.Hybrid attack simulator for uSVP, applied to Giophantus parameters.
- B. Wang, F. Hu, H. Yao, C. Wang. Prime factorization algorithm based on parameter optimization of Ising model. Scientific Reports, 2020.D-Wave Ising-model factoring, reports factoring 20-bit integer 1028171.
- C. Wang, H. Yao, B. WANG, F. HU. Quantum annealing distributed integer decomposition study of local field coefficient h and coupling coefficient J with stability Ising model. SCIENTIA SINICA Physica, Mechanica & Astronomica, 2020.Quantum annealing Ising-model factoring with reduced qubits and coefficients.
- Y. Wang, Y. Ikematsu, S. Nakamura, T. Takagi. Revisiting the Minrank Problem on Multivariate Cryptography. Information Security Applications, 2020.Revisits MinRank solving complexity for multivariate cryptanalysis; title only.
- Y. Wang, T. Takagi. Studying lattice reduction algorithms improved by quick reordering technique. International Journal of Information Security, 2020.Lattice reduction algorithms improved by quick reordering technique.
- V. Weger, M. Battaglioni, P. Santini, F. Chiaraluce, M. Baldi, E. Persichetti. Information set decoding of Lee-metric codes over finite rings. CoRR, 2020.ISD algorithms and complexity for Lee-metric codes over rings.
- V. Weger, P. Santini, M. Battaglioni, A. Trautmann. NP-Complete Problems for Lee Metric Codes. arXiv, 2020.Lee-metric SDP NP-completeness plus generalized ISD algorithms and complexity.
- J. Wloka, J. Richter-Brockmann, C. Stahlke, T. Kleinjung, C. Priplata, T. Güneysu. Revisiting ECM on GPUs. CANS 2020, 2020.Optimized multi-GPU ECM implementation for cofactorization in factoring/DLP.
- Q. Xi, J. Liu, C. Gu, Y. Zheng. The Concrete Complexity of LWE without Gaussian Sampling. Proceedings of the 2020 5th International Conference on Mathematics and Artificial Intelligence, 2020.Concrete complexity of LWE with uniform errors and restricted samples.
- C. Xu, Y. Zhang, L. Mei, L. Xu, C. Zuo. Attacking the Niederreiter-type cryptosystem based on rank metric. International Journal of Embedded Systems, 2020.Attack on rank-metric Niederreiter-type cryptosystem; title only.
- L. Xu, H. Chen, C. Li, L. Qu. Vulnerable Public Keys in NTRU Cryptosystem. Chinese Annals of Mathematics, Series B, 2020.Title-only: weak public keys in NTRU, structural weak-key result.
- P. Xue, S. Chen, Z. Fu. The Lattice Sieve Field Selection of Cado-NFS. Journal of Physics: Conference Series, 2020.Lattice sieve parameter selection improving CADO-NFS.
- S. J. Yaqoob, R. K. K. Ajeena. The Multi-Primes Lanstra's Elliptic Curve Factorization Algorithm. 2020 6th International Engineering Conference “Sustainable Technology and Development" (IEC), 2020.ECM variant for multi-prime moduli; weak exposition but a factoring algorithm.
- M. Yasuda, S. Nakamura, J. Yamaguchi. Analysis of DeepBKZ reduction for finding short lattice vectors. Designs, Codes and Cryptography, 2020.Analysis of DeepBKZ lattice reduction.
- M. Yasuda. Self-dual DeepBKZ for finding short lattice vectors. Journal of Mathematical Cryptology, 2020.Self-dual DeepBKZ reduction variant, tested on SVP challenge.
- K. Yokoyama, M. Yasuda, Y. Takahashi, J. Kogure. Complexity bounds on Semaev's naive index calculus method for ECDLP. Journal of Mathematical Cryptology, 2020.Lower bound showing naive Semaev index calculus cannot beat generic ECDLP methods.
- M. Zheng, N. Kunihiro, H. Hu. Lattice-Based Cryptanalysis of RSA with Implicitly Related Keys. IEICE Transactions, 2020.Lattice factoring of RSA moduli with implicitly related private keys.
- Y. Zhu, J. Wen, J. Zhuang, C. Lv, D. Lin. Refined analysis to the extended tower number field sieve. Theoretical Computer Science, 2020.Refined complexity analysis of extended tower NFS.Same work as eprint:2016-727; counted there, weight 0 here.
- 直. 木村, 敦. 高安, 剛. 高木. メモリ制限下における量子Information Set Decodingアルゴリズムの高速化. 2020.Speeding up quantum ISD under memory constraints.
2019127 items2019.bib
- M. A., K. H., A. M. A. On the smallest-basis problem underlying the GGH lattice-based cryptosystem. Malaysian Journal of Mathematical Sciences, 2019.Defines GGH smallest-basis problem and shows how solving it breaks GGH.
- D. Aggarwal, B. Ursu, S. Vaudenay. Faster Sieving Algorithm for Approximate SVP with Constant Approximation Factors. Cryptology ePrint Archive, Paper 2019/1028, 2019.Faster provable sieving for approximate SVP.
- D. Aggarwal, J. Li, P. Q. Nguyen, N. Stephens-Davidowitz. Slide Reduction, Revisited - Filling the Gaps in SVP Approximation. CRYPTO 2020, 2020.Improved slide reduction for SVP approximation.
- S. Akleylek, H. Satılmış. Parameter Estimation for Lattice-Based Cryptosystems By Using Sieving Algorithms. 2019 4th International Conference on Computer Science and Engineering (UBMK), 2019.Compares sieving algorithms inside LWE estimator to derive parameter sets.
- M. R. Albrecht, V. Gheorghiu, E. W. Postlethwaite, J. M. Schanck. Estimating quantum speedups for lattice sieves. ASIACRYPT 2020, 2020.Quantum circuit cost estimates for near-neighbour search in lattice sieves.Same work as openalex:W2982587774; counted there, weight 0 here.
- M. R. Albrecht, B. R. Curtis, T. Wunderer. Exploring Trade-offs in Batch Bounded Distance Decoding. Selected Areas in Cryptography (SAC) 2019, 2019.Batch-BDD time-memory trade-offs for small-secret LWE vs hybrid attack.
- M. R. Albrecht, V. Gheorghiu, E. W. Postlethwaite, J. M. Schanck. Quantum speedups for lattice sieves are tenuous at best. ASIACRYPT 2020, 2020.Quantum cost analysis showing lattice sieve speedups are marginal.
- M. R. Albrecht, L. Ducas, G. Herold, E. Kirshanova, E. W. Postlethwaite, M. Stevens. The General Sieve Kernel and New Records in Lattice Reduction. EUROCRYPT 2019, 2019.General Sieve Kernel sieving framework; new Darmstadt SVP and LWE challenge records.
- B. Auerbach, F. Giacon, E. Kiltz. Everybody's a Target: Scalability in Public-Key Encryption. EUROCRYPT 2020, 2020.Generic-group bounds on multi-instance DL/CDH hardness scaling for ElGamal.
- H. M. Bahig, A. Bhery, D. I. Nassr. Cryptanalysis of NTRU where the private polynomial has one or more consecutive zero coefficients. Journal of Discrete Mathematical Sciences and Cryptography, 2019.New lattice attack on NTRU keys with zero-coefficient patterns.
- S. Bai, S. Miller, W. Wen. A refined analysis of the cost for solving LWE via uSVP. AFRICACRYPT 2019, 2019.Refined uSVP cost estimate for LWE with experiments.
- M. Baldi, A. Barenghi, F. Chiaraluce, G. Pelosi, P. Santini. A Finite Regime Analysis of Information Set Decoding Algorithms. Algorithms, 2019.Finite-regime ISD complexity formulas evaluated on NIST candidate parameters.
- M. Bardet, P. Briaud, M. Bros, P. Gaborit, V. Neiger, O. Ruatta et al. An Algebraic Attack on Rank Metric Code-Based Cryptosystems. EUROCRYPT 2020, 2020.Algebraic Groebner attack on rank decoding below claimed ROLLO/RQC security.
- J. Bartusek, F. Ma, M. Zhandry. The Distinction Between Fixed and Random Generators in Group-Based Assumptions. CRYPTO 2019, 2019.Tight generic lower bounds for DL/CDH with preprocessing under random generators; fixed-generator separations.
- J. Biasse, C. v. Vredendaal. Fast multiquadratic S-unit computation and application to the calculation of class groups. ANTS (Algorithmic Number Theory Symposium) 2019, 2019.Fast multiquadratic S-unit/class group computation underlying ideal-lattice attacks.
- J. Biasse, F. Song. On the quantum attacks against schemes relying on the hardness of finding a short generator of an ideal in. Journal of Mathematical Cryptology, 2019.Quantum poly-time principal ideal generator recovery in power-of-two cyclotomics.
- K. d. Boer, L. Ducas, S. Fehr. On the Quantum Complexity of the Continuous Hidden Subgroup Problem. EUROCRYPT 2020, 2020.Quantum complexity of continuous HSP algorithm used for ideal-lattice attacks.
- P. Bottinelli, V. d. Quehen, C. Leonardi, A. Mosunov, F. Pawlega, M. Sheth. The Dark SIDH of Isogenies. Cryptology ePrint Archive, Paper 2019/1333, 2019.Studies whether torsion images and known endomorphism ring weaken SSDDH beyond generic isogeny problem.
- C. Bouillaguet, P. A. Zimmermann. Parallel Structured Gaussian Elimination for the Number Field Sieve. INRIA a CCSD electronic archive server, 2019.Parallel structured Gaussian elimination for NFS, used in RSA-250 and DLP-240.
- R. Bricout, A. Chailloux, T. Debris-Alazard, M. Lequesne. Ternary Syndrome Decoding with Large Weight. Selected Areas in Cryptography (SAC) 2019, 2019.Algorithmic study of ternary large-weight syndrome decoding.
- M. Burger, C. H. Bischof, J. Krämer. p3Enum: A New Parameterizable and Shared-Memory Parallelized Shortest Vector Problem Solver. Computational Science – ICCS 2019, 2019.Parallel parameterizable enumeration SVP solver.
- F. Cabeleira, A. Mariano, G. Falcão. Memory-Optimized Voronoi Cell-based Parallel Kernels for the Shortest Vector Problem on Lattices. 2019 27th European Signal Processing Conference (EUSIPCO), 2019.Parallel memory-optimized Voronoi-cell SVP solver on CPU/GPU.
- A. Caminata, E. Gorla. The complexity of MinRank. Cryptology ePrint Archive, Paper 2019/464, 2019.Rigorous complexity of generalized MinRank solving.
- H. Chen. Sublattice Attacks on LWE over Arbitrary Number Field Lattices. Cryptology ePrint Archive, Paper 2019/791, 2019.Sublattice attacks on LWE over number-field lattices for certain moduli and widths.
- C. Cheng, K. Kodera, A. Miyaji. Differences among Summation Polynomials over Various Forms of Elliptic Curves. IEICE Transactions, 2019.Summation-polynomial index calculus complexity across elliptic curve forms.
- J. H. Cheon, M. Hhan, S. Hong, Y. Son. A Hybrid of Dual and Meet-in-the-Middle Attack on Sparse and Ternary Secret LWE. IEEE Access, 2019.Hybrid dual-MITM attack on sparse ternary LWE; lowers FHE parameter estimates.
- A. Chin, A. Kirtland, V. Nazarchuk, E. Plotnick, L. Babinkostova. The Security of Learning With Errors: A Post-Quantum Cryptosystem. ScholarWorks (Boise State University), 2019.Spectral distortion and smearing conditions for RLWE-to-PLWE attacks.
- Z. Chunhuan, Z. Zhongxiang, W. Xiaoyun, X. Guangwu. Distinguishing LWE Instances Using Fourier Transform: A Refined Framework and its Applications. Cryptology ePrint Archive, Paper 2019/1231, 2019.Fourier analysis of dual-attack advantage across LWE error distributions.
- D. Coggia, A. Couvreur. On the security of a Loidreau's rank metric code based encryption scheme. Designs, Codes and Cryptography, 2020.Structural key-recovery analysis of Loidreau rank-metric scheme; title only.
- C. Costello, P. Longa, M. Naehrig, J. Renes, F. Virdia. Improved Classical Cryptanalysis of SIKE in Practice. PKC 2020, 2020.Optimized vOW collision search implementation for CSSI against SIKE parameters.Same work as openalex:W2942137384; counted there, weight 0 here.
- C. Costello, P. Longa, M. Naehrig, J. Renes, F. Virdia. Improved Classical Cryptanalysis of the Computational Supersingular Isogeny Problem. PKC 2020, 2020.Improved vOW implementation and classical cost of CSSI for SIKE parameters.
- C. Costello, B. Smith. The supersingular isogeny problem in genus 2 and beyond. PQCrypto 2020, 2020.Path-finding in higher-genus supersingular isogeny graphs, classical and Grover.
- B. R. Curtis, R. Player. On the Feasibility and Impact of Standardising Sparse-secret LWE Parameter Sets for Homomorphic Encryption. ACM CCS 2019, 2019.Hybrid-attack security analysis of sparse-secret LWE parameters for HE standard.
- C. Delaplace, A. May. Can we Beat the Square Root Bound for ECDLP over \(\mathbb{F}_{p^2}\) via Representations? NuTMiC 2019, 2019.Representation-based 4-list algorithm for ECDLP over F_p^2.
- C. Delaplace, A. May. Can we Beat the Square Root Bound for ECDLP over F p 2 via Representations. IACR Cryptology ePrint Archive, 2019.Representation technique applied to ECDLP over F_p^2, square-root bound question.
- C. Delaplace, A. Esser, A. May. Improved Low-Memory Subset Sum and LPN Algorithms via Multiple Collisions. IMA Cryptography and Coding (IMACC) 2019, 2019.Low-memory subset sum and LPN algorithms via multiple collisions.
- J. Ding, J. Deaton, K. Schmidt, Vishakha, Z. Zhang. Cryptanalysis of The Lifted Unbalanced Oil Vinegar Signature Scheme. CRYPTO 2020, 2020.Exploits lifted subfield structure of LUOV, reducing direct attacks below NIST targets.
- J. Ding, S. Kim, T. Takagi, Y. Wang. LLL and stochastic sandpile models. Cryptology ePrint Archive, Paper 2019/1009, 2019.Sandpile models predicting practical LLL behaviour; heuristic lattice-reduction behaviour model.
- J. Ding, Z. Zhang, J. Deaton. The singularity attack to the multivariate signature scheme HIMQ-3. Advances in Mathematics of Communications, 2021.Singularity attack forging HIMQ-3 multivariate signatures.
- L. Ducas, M. Plançon, B. Wesolowski. On the Shortness of Vectors to be found by the Ideal-SVP Quantum Algorithm. CRYPTO 2019, 2019.Estimates hidden constants of quantum Ideal-SVP algorithm; crossover versus BKZ-300.
- M. Ekerå. Revisiting Shor's quantum algorithm for computing general discrete logarithms. arXiv (Cornell University), 2019.Success probability and post-processing for Shor's general discrete log algorithm.
- M. S. Esseissah, A. Bhery, H. M. Bahig. Improving BDD Enumeration for LWE Problem Using GPU. IEEE Access, 2020.GPU-parallel BDD enumeration for LWE; speed-focused attack implementation.
- A. Esser, A. May. Better Sample -- Random Subset Sum in \(2^{0.255n}\) and its Impact on Decoding Random Linear Codes. arXiv, 2019.Improved subset sum via sampling, applied to improve BJMM decoding of random codes.
- A. Esser, A. May. Low Weight Discrete Logarithms and Subset Sum in \(2^{0.65n}\) with Polynomial Memory. EUROCRYPT 2020, 2020.Polynomial-memory low-weight DLP algorithms in any abelian group.
- M. Euler, C. Petit. Expanding the use of quasi-subfield polynomials. Finite Fields and Their Applications, 2021.New quasi-subfield polynomial families for ECDLP index calculus, plus lower bound.
- G. Falcão, F. Cabeleira, A. Mariano, L. P. Santos. Heterogeneous Implementation of a Voronoi Cell-Based SVP Solver. IEEE Access, 2019.Heterogeneous CPU+GPU Voronoi-cell SVP solver speedups.
- J. Falk. On Pollard's rho method for solving the elliptic curve discrete logarithm problem. Institutional repository, 2019.Thesis experimenting with Pollard rho iteration functions for ECDLP.
- A. Gao, B. Kuehnert, G. Schlafly, Z. Yi, L. Babinkostova. The Isogeny Problem in the Post-Quantum World. Scholar Works (Boise State University), 2019.Isogeny graph adjacency analysis and CSIDH class-number smoothness probability.
- V. Gheorghiu, M. Mosca. Benchmarking the quantum cryptanalysis of symmetric, public-key and hash-based cryptographic schemes. arXiv, 2019.Fault-tolerant resource estimates for quantum attacks on RSA, ECC and symmetric primitives.
- V. Gheorghiu, M. Mosca. Quantum cryptanalysis of symmetric, public-key and hash-based cryptographic schemes. arXiv, 2019.Fault-tolerant quantum resource estimates for attacking RSA, ECC, symmetric and hash schemes.
- F. Göloglu, A. Joux. A simplified approach to rigorous degree 2 elimination in discrete logarithm algorithms. Mathematics of Computation, 2018.Rigorous degree-2 elimination for small-characteristic DLP algorithms.
- A. Guillevic. A short-list of pairing-friendly curves resistant to Special TNFS at the 128-bit security level. PKC 2020, 2020.New STNFS polynomial selection and cost estimates for pairing-friendly curve families.
- A. Guillevic, S. Singh. On the alpha value of polynomials in the tower number field sieve algorithm. Mathematical Cryptology (FAU), 2019.Alpha function and TNFS cost estimates for pairing target fields.
- Q. Guo, T. Johansson, E. Mårtensson, P. S. Wagner. On the Asymptotics of Solving the LWE Problem Using Coded-BKW with Sieving. IEEE Transactions on Information Theory, 2019.Coded-BKW with sieving improves asymptotic LWE complexity to 2^0.893n.
- Q. Guo, T. Johansson, E. Mårtensson, P. S. Wagner. Some cryptanalytic and coding-theoretic applications of a soft stern algorithm. Advances in Mathematics of Communications, 2019.Soft-information Stern ISD algorithm with cryptanalytic applications.
- M. M. Haque, M. O. Rahman. Analyzing Progressive-BKZ Lattice Reduction Algorithm. International Journal of Computer Network and Information Security, 2019.Experimental analysis of progressive BKZ efficiency, SWIFFT pseudo-collisions.
- Y. Hashimoto. Key recovery attack on Circulant UOV/Rainbow. JSIAM Letters, 2019.Key recovery exploiting circulant structure in UOV/Rainbow.Same work as eprint:2018-947; counted there, weight 0 here.
- J. Hong, H. Lee. Solving discrete logarithm problems faster with the aid of pre-computation. Discrete Applied Mathematics, 2019.Faster generic discrete log algorithms with precomputation.
- T. v. d. Horst. Pollards Rho algoritme voor het discrete logaritme, geïmplementeerd op de GPU. Dissertation (institution not recorded), 2019.GPU implementation of Pollard rho for discrete log; title only, group unknown.
- S. Jaques. Quantum Cost Models for Cryptanalysis of Isogenies. Institutional repository, 2019.Quantum cost models for isogeny key recovery; Tani vs vOW.
- S. Jaques, J. M. Schanck. Quantum cryptanalysis in the RAM model: Claw-finding attacks on SIKE. CRYPTO 2019, 2019.Quantum RAM cost models; revised claw-finding security estimates for SIDH/SIKE.
- H. Jianjun, W. Wei, L. Hengjie. An iterative method based on Pohlig-Hellman and Pollard \(\rho \) for computing discrete logarithm. Journal of Anhui University. Natural Science Edition, 2019.Hybrid Pohlig-Hellman/Pollard rho DL algorithm; minor contribution.
- A. Joux, C. Pierrot. Algorithmic aspects of elliptic bases in finite field discrete logarithm algorithms. Advances in Mathematics of Communications, 2024.Elliptic bases for heuristic small-characteristic finite field DLP.
- L. Juhee, C. Seunghwan, K. Taewan, L. Hyang-Sook, L. Seongan. Minimal condition for shortest vectors in lattices of low dimension. Electronic Notes in Discrete Mathematics, 2019.Conditions identifying shortest vectors in low-dimensional lattices; reduction theory.
- U. Kapshikar, A. Mahalanobis. The Niederreiter cryptosystem and Quasi-Cyclic codes. ICETE (2), 2018.Proves QC Niederreiter resists quantum Fourier sampling hidden subgroup attacks under conditions.
- P. Kirchner, T. Espitau, P. Fouque. Algebraic and Euclidean Lattices: Optimal Lattice Reduction and Beyond. Cryptology ePrint Archive, Paper 2019/1436, 2019.Fast recursive module lattice reduction over cyclotomic fields; breaks multilinear map parameters.
- E. Kirshanova, E. Mårtensson, E. W. Postlethwaite, S. R. Moulik. Quantum Algorithms for the Approximate \(k\)-List Problem and their Application to Lattice Sieving. ASIACRYPT 2019, 2019.Quantum k-list sieving algorithms for SVP with time-memory tradeoffs.
- T. Kleinjung, B. Wesolowski. A new perspective on the powers of two descent for discrete logarithms in finite fields. ANTS (Algorithmic Number Theory Symposium) 2019, 2019.New correctness proof for powers-of-two descent in small-characteristic DLP.
- Y. V. Kosolapov, A. N. Shigaev. On the Support Splitting Algorithm for Induced Codes. Automatic Control and Computer Sciences, 2019.Support-splitting structural key recovery against McEliece on induced codes.
- M. Kumar. Faster Lattice Enumeration. CoRR, 2019.Obtuse bases claimed to speed up lattice enumeration.
- M. Kumar, H. Raddum, S. Varadharajan. Reducing Lattice Enumeration Search Trees. Infocommunications journal, 2019.Basis permutation and sign-based pruning reduce enumeration tree.
- N. Kunihiro, A. Takayasu. Worst case short lattice vector enumeration on block reduced bases of arbitrary blocksizes. Discrete Applied Mathematics, 2019.Worst-case analysis of enumeration on block-reduced bases.
- K. Kurosawa, A. Ueda, H. Matsuhashi, Y. Sakagami. How to Solve Multiple Short-Exponent Discrete Logarithm Problem. IWSEC 2019, 2019.Algorithm for solving multiple short-exponent DL instances.
- E. H. Laaji, A. Azizi, S. Ezzouak. Two Quantum Attack Algorithms Against NTRU When the Private Key and Plaintext Are Codified in Ternary Polynomials. Learning and Analytics in Intelligent Systems, 2019.Quantum attack algorithms on NTRU with ternary keys; title only.
- T. Laarhoven. Evolutionary Techniques in Lattice Sieving Algorithms. IJCCI, 2019.Evolutionary-computation techniques to improve lattice sieving.
- T. S. C. Lau, C. H. Tan, T. F. Prabowo. Key Recovery Attacks on Some Rank Metric Code-Based Signatures. IMA Cryptography and Coding (IMACC) 2019, 2019.Key-recovery attacks on rank-metric code-based signatures.
- J. Lavauzelle, J. Renner. Cryptanalysis of a System Based on Twisted Reed-Solomon Codes. Designs, Codes and Cryptography, 2020.Polynomial-time key recovery on twisted Reed-Solomon McEliece via subfield subcodes.
- H. Q. Le, P. K. Mishra, S. Nakamura, K. Kinjo, D. H. Duong, M. Yasuda. Impact ofthe modulus switching technique on some attacks against learning problems. IET Information Security, 2019.Effect of modulus switching on decoding, dual, primal attacks against LWE/LWR; NIST round-2 assessment.
- C. Lee, A. Pellet-Mary, D. Stehlé, A. Wallet. An LLL Algorithm for Module Lattices. ASIACRYPT 2019, 2019.LLL generalization to module lattices given rank-2 oracles.
- J. Love, D. Boneh. Supersingular Curves With Small Non-integer Endomorphisms. arXiv, 2019.Efficient isogeny computation between special supersingular curves; weak-instance structure.
- L. Luan, C. Gu, Y. Zheng. An Enumeration-Like Vector Sampling Method for Solving Approximate SVP. Machine Learning for Cyber Security, 2019.Enumeration-like vector sampling for approximate SVP.
- C. Martindale, L. Panny. How to not break SIDH. Cryptology ePrint Archive, Paper 2019/558, 2019.Explains why natural attack approaches on SIDH/SIKE fail.
- Y. Matsuda, T. Teruya, K. Kashiwabara. Efficient Estimation of Number of Short Lattice Vectors in Search Space under Randomness Assumption. ACM CCS 2019, 2019.Estimating short lattice vector counts for sampling-reduction SVP solvers.
- K. Matsuda, A. Takayasu, T. Takagi. Explicit Relation between Low-Dimensional LLL-Reduced Bases and Shortest Vectors. IEICE Transactions, 2019.Analysis of when low-dimensional LLL bases contain the shortest vector.
- A. May, L. Schlieper. Quantum Period Finding with a Single Output Qubit - Factoring n-bit RSA with n/2 Qubits. CoRR, 2019.Quantum period finding factoring n-bit RSA with n/2 qubits.
- E. Mårtensson. The Asymptotic Complexity of Coded-BKW with Sieving Using Increasing Reduction Factors. IEEE ISIT 2019, 2019.Improved asymptotic complexity of coded-BKW with sieving for LWE.
- S. Merz, R. Minko, C. Petit. Another look at some isogeny hardness assumptions. CT-RSA 2020, 2020.Polynomial-time solutions of SSCDH-variant isogeny assumptions.
- G. Micheli. On the Selection of Polynomials for the DLP Quasi-Polynomial Time Algorithm for Finite Fields of Small Characteristic. SIAM Journal on Applied Algebra and Geometry, 2019.Removes heuristic step from quasi-polynomial small-characteristic DLP algorithm.
- D. V. Mikhaĭlovich, K. Y. Vladimirovich. The use of the direct sum decomposition algorithm for analyzing the strength of some McEliece-type cryptosystems. Bulletin of the South Ural State University. Series "Mathematical Modelling, Programming and Computer Software", 2019.Direct-sum decomposition algorithm giving structural attack on composite-code McEliece.
- H. Miura, R. Matsumura, K. Ikuta, S. Joichi, T. Kusaka, Y. Nogami. A Preliminary Study on Methods to Eliminate Short Fruitless Cycles for Pollard's Rho Method for ECDLP over BN Curves. 2019 Seventh International Symposium on Computing and Networking Workshops (CANDARW), 2019.Eliminating fruitless cycles in rho with skew Frobenius on BN curves.
- H. Miura, K. Ikuta, S. Joichi, T. Kusaka, Y. Nogami. Analysis of the fruitless cycle of Pollard's rho method based attack for solving ECDLP over Barreto-Naehrig curves. 2019 34th International Technical Conference on Circuits/Systems, Computers and Communications (ITC-CSCC), 2019.Fruitless-cycle analysis and seed selection for Pollard rho on BN curves.
- G. R. Moghissi, A. Payandeh. A Parallel Evolutionary Search for Shortest Vector Problem. International Journal of Information Technology and Computer Science, 2019.Parallel genetic-plus-enumeration SVP algorithm; weak results.
- M. Mosca, S. R. Verschoor. Factoring semi-primes with (quantum) SAT-solvers. Scientific Reports, 2022.Evaluates factoring via SAT reductions and quantum annealers; negative practical assessment.
- T. Mukherjee, N. Stephens-Davidowitz. Lattice Reduction for Modules, or How to Reduce ModuleSVP to ModuleSVP. CRYPTO 2020, 2020.Slide reduction generalized to module lattices; ModuleSVP reduces to lower-rank ModuleSVP.
- M. Mukhopadhyay, P. Sarkar. Faster Initial Splitting for Small Characteristic Composite Extension Degree Fields. Finite Fields and Their Applications, 2020.Faster initial splitting for FFS descent in small-characteristic composite fields.
- A. K. Nagam. Study on Elliptic Curve Discrete Log Problem. 2019.Thesis extending ECDLP algorithm exploiting partial knowledge of secret key.
- A. Nitaj, E. Fouotsa. A New Attack on RSA and Demytko's Elliptic Curve Cryptosystem. Cryptology ePrint Archive, Paper 2019/1050, 2019.Coppersmith-based RSA weak-key attack via generalized key equation and ECM.
- K. Osamu, U. Shigenori. A note on the prime factorization method by Nemec et al. JSIAM Letters, 2019.Implements and explores parameters of the Nemec et al. Coppersmith factorization of structured RSA moduli.
- C. Peikert. He Gives C-Sieves on the CSIDH. EUROCRYPT 2020, 2020.Concrete cost of Kuperberg collimation sieve against CSIDH-512.
- A. Pellet-Mary, G. Hanrot, D. Stehlé. Approx-SVP in Ideal Lattices with Pre-processing. EUROCRYPT 2019, 2019.Approx-SVP in ideal lattices of arbitrary number fields with preprocessing.
- A. Pellet-Mary. On ideal lattices and the GGH13 multilinear map. (Réseaux idéaux et fonction multilinéaire GGH13). University of Lyon, France, 2019.Thesis on ideal-lattice SVP algorithms and GGH13 attacks.Same work as openalex:W2995933985; counted there, weight 0 here.
- A. Pellet-Mary. Réseaux idéaux et fonction multilinéaire GGH13. University of Lyon, France, 2019.Thesis: ideal/module lattice SVP algorithms and GGH13 analysis.
- S. Perriello. Design and development of a quantum circuit to solve the information set decoding problem. MSc thesis, Politecnico di Milano, 2019.Quantum circuit design for information set decoding.
- B. Qi, J. Ma, K. Lv. Using Equivalent Class to Solve Interval Discrete Logarithm Problem. ICICS 2019, 2019.Equivalence classes to speed up interval DLP.
- L. Qin, X. Zhang, X. Wang, Z. Zheng, W. Qi. Random Sampling on an High-Dimensional Sphere for Solving SVP. Intelligent Computing, 2019.Random sampling algorithm for SVP; title only.
- K. Ryo, N. Kunihiro. New Quantum Algorithms for Modular Inverse and Their Application on the Elliptic Curve Discrete Logarithm Problem. IEICE Technical Report, 2019.Quantum modular inverse circuits for Shor ECDLP; title only.
- G. Santilli. An investigation on Integer Factorization applied to Public Key Cryptography. University of Trento, Italy, 2019.Thesis proposing new factoring strategies including GNFS improvement attempts.
- T. Sanyashi, M. B. S. Venkatesh, K. Agarwal, M. Verma, B. Menezes. A new Hybrid Lattice Attack on Galbraith's Binary LWE Cryptosystem. CoRR, 2019.Hybrid lattice attack on binary-LWE cryptosystem.
- P. Sarkar, S. Singh. A unified polynomial selection method for the (tower) number field sieve algorithm. Advances in Mathematics of Communications, 2019.Unified polynomial selection improving (ex)TNFS complexity for finite field DLP.
- V. Sedlacek, D. Klinec, M. Sýs, P. Svenda, V. Matyas. I Want to Break Square-free: The 4p - 1 Factorization Method and Its RSA Backdoor Viability. ICETE (2), 2019.4p-1 special-purpose factoring method and its backdoor viability.
- S. Shehu, M. R. K. Ariffin. New cryptanalytic results upon prime power moduli N = prq. AIP Conference Proceedings, 2019.Continued fraction and LLL attacks factoring prime-power moduli N=p^r q.
- Y. Son. A Note on Parameter Choices of Round5. Cryptology ePrint Archive, Paper 2019/949, 2019.Round5 parameters overlook improved dual attack; some miss claimed security.
- Y. Son, J. H. Cheon. Revisiting the Hybrid Attack on Sparse Secret LWE and Application to HE Parameters. ACM CCS 2019, 2019.Hybrid attack cost on sparse-secret LWE applied to HE parameters.
- Y. Son, J. H. Cheon. Revisiting the Hybrid attack on sparse and ternary secret LWE. Cryptology ePrint Archive, Paper 2019/1019, 2019.Refined hybrid-attack cost analysis for sparse ternary LWE; lowers HE parameter security estimates.
- H. Song, C. Gu, Y. Zheng. The faster lattice sieving for SVP. Journal of Physics: Conference Series, 2019.Recursive block sieving technique for faster SVP solving.
- K. S. Spoorthi, R. Padmavathy, S. K. Pal, S. R. Chandra. Linear Algebra on Parallel Structures Using Wiedemann Algorithm to Solve Discrete Logarithm Problem. IETE Journal of Research, 2019.Parallel Wiedemann linear algebra for FFS discrete logs in GF(2^n).
- K. E. Stange. Algebraic aspects of solving Ring-LWE, including ring-based improvements in the Blum-Kalai-Wasserman algorithm. SIAM Journal on Applied Algebra and Geometry, 2021.Ring-BKW and subring reductions for solving Ring-LWE exploiting ring structure.
- T. C. D. Team. CADO-NFS, An Implementation of the Number Field Sieve Algorithm. HAL, 2019.CADO-NFS implementation for factoring and finite-field DLP.
- T. Teruya. Security analysis of elliptic curves with embedding degree 1 proposed in PLOS ONE 2016. PLOS ONE, 2019.Embedding-degree-1 curves broken via finite-field DLP; instances solved with stated resources.
- M. Tiepelt, A. Szepieniec. Quantum LLL with an Application to Mersenne Number Cryptosystems. LATINCRYPT 2019, 2019.Quantum LLL circuits and resource estimates; Grover attack on Mersenne cryptosystems.
- M. Trimoska, S. Ionica, G. Dequen. A SAT-based approach for index calculus on binary elliptic curves. AFRICACRYPT 2020, 2020.SAT-based point decomposition for index calculus on binary elliptic curves.
- D. D. Tullio, A. Pal. A New Method for Geometric Interpretation of Elliptic Curve Discrete Logarithm Problem. Cryptology ePrint Archive, Paper 2019/1059, 2019.Reduces ECDLP to intersection of quadric hypersurfaces as alternative to summation polynomials.
- J. Verbel, J. Baena, D. Cabarcas, R. Perlner, D. Smith-Tone. On the Complexity of ``Superdetermined'' Minrank Instances. PQCrypto 2019, 2019.Tighter complexity of Kipnis-Shamir MinRank on superdetermined instances; HFE key recovery.
- M. Yasuda, J. Yamaguchi. A new polynomial-time variant of LLL with deep insertions for decreasing the squared-sum of Gram-Schmidt lengths. Designs, Codes and Cryptography, 2019.Polynomial-time deep-insertion LLL variant.
- F. Zhang, Z. Liu, P. Wang, H. Tian. Improving ECDLP Computation in Characteristic 2. Inscrypt 2019, 2019.Improved ECDLP computation over characteristic-2 curves.
- M. Zheng, H. Hu. Implicit Related-Key Factorization Problem on the RSA Cryptosystem. CANS 2019, 2019.Lattice attack on implicit related-key factorization of RSA moduli.
- Y. Zhu, J. Zhuang, H. Yi, C. Lv, D. Lin. A variant of the Galbraith-Ruprai algorithm for discrete logarithms with improved complexity. Designs, Codes and Cryptography, 2018.Improved Galbraith-Ruprai multidimensional DL algorithm.
2018115 items2018.bib
- G. Adj, I. A. C. Martinez, N. Cruz-Cortés, A. Menezes, T. Oliveira, L. Rivera-Zamarripa et al. Computing discrete logarithms in cryptographically-interesting characteristic-three finite fields. Advances in Mathematics of Communications, 2018.Record DL computation in pairing-relevant characteristic-three field.
- G. Adj, D. Cervantes-Vázquez, J. Chi-Domínguez, A. Menezes, F. Rodríguez-Henríquez. On the cost of computing isogenies between supersingular elliptic curves. Selected Areas in Cryptography (SAC) 2018, 2018.vOW collision cost for CSSI versus meet-in-the-middle; informs SIDH parameters.
- D. Aggarwal, P. Mukhopadhyay. Faster algorithms for SVP and CVP in the \(\ell_{\infty}\) norm. arXiv, 2018.Faster sieving SVP/CVP algorithms in l-infinity norm.
- D. Aggarwal, P. Mukhopadhyay. Improved Algorithms for the Shortest Vector Problem and the Closest Vector Problem in the Infinity Norm. ISAAC (Algorithms and Computation) 2018, 2018.Faster sieving for SVP/CVP in infinity norm.
- Y. Aikawa, K. Nuida, M. Shirase. Elliptic Curve Method Using Complex Multiplication Method. IEICE Transactions, 2018.ECM variant via CM curves factoring integers with special-form prime factors.
- O. Akchiche, O. Khadir. Factoring RSA moduli when a message is close to a multiple of the primes. International Journal of Computer Mathematics: Computer Systems Theory, 2018.Title only: factoring RSA moduli under special message condition.
- O. Akchiche, O. Khadir. Factoring RSA moduli with primes sharing bits in the middle. Applicable Algebra in Engineering, Communication and Computing, 2017.Factoring RSA moduli whose primes share middle bits.
- M. R. Albrecht, B. R. Curtis, A. Deo, A. Davidson, R. Player, E. W. Postlethwaite et al. Estimate all the LWE, NTRU schemes! SCN 2018, 2018.Estimates primal/dual attack costs for all NIST LWE/NTRU submissions.
- M. Andrzejczak. An Improved Architecture of a Hardware Accelerator for Factoring Integers with Elliptic Curve Method. Annals of Computer Science and Information Systems, 2018.Improved FPGA ECM accelerator for large-scale factoring.
- E. R. Anschuetz, J. P. Olson, A. Aspuru‐Guzik, Y. Cao. Variational Quantum Factoring. QTOP@NetSys, 2017.Variational quantum factoring algorithm for NISQ devices.
- K. Aoki. (Short Paper) Parameter Trade-Offs for NFS and ECM. IWSEC 2018, 2018.Parameter trade-offs between NFS and ECM factoring; cost analysis.
- Y. Aono, P. Q. Nguyễn, T. Seito, J. Shikata. Lower Bounds on Lattice Enumeration with Extreme Pruning (from Crypto 2018). CRYPTO 2018, 2018.Lower bounds on lattice enumeration with extreme pruning.
- Y. Aono, P. Q. Nguyen, T. Seito, J. Shikata. Lower Bounds on Lattice Enumeration with Extreme Pruning. CRYPTO 2018, 2018.Lower bounds on extreme-pruning enumeration.Same work as openalex:W2906827945; counted there, weight 0 here.
- Y. Aono, P. Q. Nguyen, Y. Shen. Quantum Lattice Enumeration and Tweaking Discrete Pruning. ASIACRYPT 2018, 2018.Quantum tree-search speedup of pruned lattice enumeration.
- N. Aragon, P. Gaborit, A. Hauteville, J. Tillich. A New Algorithm for Solving the Rank Syndrome Decoding Problem. IEEE ISIT 2018, 2018.Improved combinatorial algorithm for rank syndrome decoding.Same work as openalex:W2775694132; counted there, weight 0 here.
- M. R. K. Ariffin, S. I. Abubakar, F. Yunos, M. A. Asbullah. pq Using Small Prime Difference Method. Cryptography (MDPI), 2018.Short decryption exponent attacks on RSA with small prime difference.
- S. Bai, D. Stehlé, W. Wen. Measuring, simulating and exploiting the head concavity phenomenon in BKZ. ASIACRYPT 2018, 2018.Refined BKZ simulator capturing head concavity and improved BKZ variant; SVP-120 tested.
- E. Barelli, A. Couvreur. An efficient structural attack on NIST submission DAGS. ASIACRYPT 2018, 2018.Structural key recovery on quasi-dyadic alternant codes breaking DAGS.
- E. Barelli. On the Security of Some Compact Keys for McEliece Scheme. CoRR, 2018.Title-only: structural security of compact-key McEliece variants.
- E. Barelli. On the security of short McEliece keys from algebraic and algebraic geometry codes with automorphisms. (Étude de la sécurité de certaines clés compactes pour le schéma de McEliece utilisant des codes géométriques). University of Paris-Saclay, France, 2018.Thesis: invariant-code key-recovery analysis of QC alternant/AG McEliece keys.
- M. P. Belleza, F. Borges. Avaliação de Segurança em Curvas Elípticas Usando o Corpo dos Números p-ádicos. IV Workshop sobre Regulação, Avaliação da Conformidade, Testes e Padrões de Segurança, 2018.Anomalous curves and Smart's p-adic ECDLP attack; security requirements.
- N. Benger, M. Charlemagne, K. Chen. A Note on the Behaviour of the Number Field Sieve in the Medium Prime Case: Smoothness of Norms. Journal of Shanghai Jiaotong University (Science), 2018.NFS norm smoothness analysis in medium-prime case; title only.
- D. J. Bernstein, T. Lange, C. Martindale, L. Panny. Quantum circuits for the CSIDH: optimizing quantum evaluation of isogenies. EUROCRYPT 2019, 2019.Quantum circuit cost of CSIDH group action evaluation for hidden-shift attacks.
- J. Biasse, A. Iezzi, M. J. J. Jr. A Note on the Security of CSIDH. INDOCRYPT 2018, 2018.Classical and quantum attack analysis of CSIDH.
- X. Bonnetain, A. Schrottenloher. Quantum Security Analysis of CSIDH and Ordinary Isogeny-based Schemes. EUROCRYPT 2020, 2020.Quantum security analysis (Kuperberg cost) of CSIDH and ordinary isogeny schemes.
- X. Bonnetain, A. Schrottenloher. Quantum Security Analysis of CSIDH. EUROCRYPT 2020, 2020.Non-asymptotic quantum hidden-shift cost analysis showing CSIDH parameters miss targets.Same work as openalex:W2887314475; counted there, weight 0 here.
- C. Bootland, W. Castryck, F. Vercauteren. On the Security of the Multivariate Ring Learning with Errors Problem. Cryptology ePrint Archive, Paper 2018/966, 2018.Reduces multivariate RLWE to low-dimension RLWE; breaks claimed 2600-bit parameters.
- L. Both. Solvin \(\it k\)-list problems and their impact on information set decoding. Ruhr University Bochum, Germany, 2018.Thesis: approximate k-list algorithms giving fastest ISD for random codes.
- L. Both. Solvin k-list problems and their impact on information set decoding. Ruhr University Bochum, Germany, 2018.Thesis on k-list algorithms improving information set decoding.Same work as openalex:W3005962996; counted there, weight 0 here.
- C. Bouvier, L. Imbert. Faster cofactorization with ECM using mixed representations. PKC 2020, 2020.Faster ECM for NFS cofactorization.
- M. Burger, C. H. Bischof, A. Calotoiu, T. Wunderer, F. Wolf. Exploring the Performance Envelope of the LLL Algorithm. 2018 IEEE International Conference on Computational Science and Engineering (CSE), 2018.Performance study of LLL implementations.
- J. Chen, D. Stehlé, G. Villard. Computing an LLL-reduced Basis of the Orthogonal Latice. ISSAC 2018, 2018.New LLL iteration bound for orthogonal-lattice bases; reduction-algorithm analysis (v0.3.4).
- Y. Chen, B. M. Case, S. Gao, G. Gong. Error analysis of weak Poly-LWE instances. Cryptography and Communications, 2018.Error analysis of attacks on weak Poly-LWE instances.
- Y. Chen, X. Gao, C. Yuan. Quantum Algorithm for Optimization and Polynomial System Solving over Finite Field and Application to Cryptanalysis. Journal of Systems Science and Complexity, 2025.Quantum polynomial-system/optimization algorithms applied to SIS, SVP, NTRU.
- Y. Chen, X. Gao, C. Yuan. Quantum Algorithms for Optimization and Polynomial Systems Solving over Finite Fields. arXiv, 2018.Quantum polynomial-system solving applied to noisy systems, SIS and NTRU.
- P. Chinniah, A. Ramalingam. An Integer Factorization Method Equivalent to Fermat Factorization. International Journal of Mathematics And its Applications, 2018.Special-purpose factoring method equivalent to Fermat; minor novelty.
- Y. Chuang, C. Fan, Y. Tseng. An Efficient Algorithm for the Shortest Vector Problem. IEEE Access, 2018.New cubic-time approximate SVP reduction algorithm with polynomial Hermite factor.
- A. Couvreur, M. Lequesne, J. Tillich. Recovering short secret keys of RLCE in polynomial time. PQCrypto 2019, 2019.Structural polynomial-time key recovery on GRS-based RLCE McEliece variant.
- T. Debris-Alazard, J. Tillich. An attack on a NIST proposal: RankSign, a code-based signature in rank metric. ASIACRYPT 2018, 2018.Algebraic attack on all RankSign parameters via low-weight codewords; also generic problem attack.Same work as dblp:conf-asiacrypt-Debris-AlazardT18; counted there, weight 0 here.
- T. Debris-Alazard, J. Tillich. Two Attacks on Rank Metric Code-Based Schemes: RankSign and an IBE Scheme. ASIACRYPT 2018, 2018.Structural attacks on RankSign and a rank-metric IBE.
- T. Debris-Alazard, J. Tillich. Two attacks on rank metric code-based schemes: RankSign and an Identity-Based-Encryption scheme. ASIACRYPT 2018, 2018.Algebraic attack on RankSign exploiting low-weight LRPC codewords, plus attack on IBE's underlying rank problem.Same work as dblp:conf-asiacrypt-Debris-AlazardT18; counted there, weight 0 here.
- J. Ding, S. Kim, T. Takagi, Y. Wang. Why 1.02? The root Hermite factor of LLL and stochastic sandpile models. CoRR, 2018.Analysis explaining LLL root Hermite factor behaviour via sandpile models.
- V. Dragoi, V. Beiu, D. Bucerzan. Vulnerabilities of the McEliece Variants Based on Polar Codes. SECITC 2018, 2018.Structural vulnerabilities of polar-code McEliece variants (title only).
- A. Esser, F. Heuer, R. Kübler, A. May, C. Sohler. Dissection-BKW. CRYPTO 2018, 2018.Time-memory trade-offs for BKW on LPN/LWE via dissection.
- Ø. Follan. Post-Quantum Multivariate Cryptography - A Study of Gui and GeMSS Signature Schemes using Gröbner Bases. Institutional repository, 2018.Thesis analyzing Gui and GeMSS parameters via Groebner and MITM; breaks a Gui instance.
- G. Fotiadis, E. Konstantinou. TNFS Resistant Families of Pairing-Friendly Elliptic Curves. Theoretical Computer Science, 2019.Revises pairing-friendly curve selection criteria against TNFS attacks; parameter-selection analysis.
- A. I. Galiev. Analysis of the Lenstra Elliptic Curves Factorization Method. HELIX, 2018.ECM variants improved and compared for speed.
- F. Gates. Reduction-Respecting Parameters for Lattice-Based Cryptosystems. MacSphere (McMaster University), 2018.Concrete cost of LWE-to-SVP reductions to select reduction-meaningful parameters.
- A. H. A. Ghafar, M. R. K. Ariffin, M. A. Asbullah. Extending Pollard class of factorable RSA modulus. 2018.New class of factorable RSA moduli via p-1/q-1 structure; weak-key factoring.
- S. Grebnev. On the Feasibility of an ECDLP Algorithm. Cryptology ePrint Archive, Paper 2018/399, 2018.Shows claimed Nesterenko ECDLP algorithm no better than Pollard rho.
- L. Grémy. Higher dimensional sieving for the number field sieve algorithms. Cryptology ePrint Archive, Paper 2018/967, 2018.Higher-dimensional sieving algorithms for NFS relation collection (exTNFS).
- X. Guoliang, Q. Daowen, Z. Xiangfu, G. Jozef. Improving the success probability for Shor's factorization algorithm. Emergence, Complexity and Computation, 2018.Improves success probability of Shor's factoring algorithm.
- M. M. Haque, J. Pieprzyk. Preprocessing optimisation: revisiting recursive-BKZ lattice reduction algorithm. IET Information Security, 2017.Optimizes preprocessing in recursive BKZ; lattice reduction algorithm improvement.
- Y. Hashimoto. High-rank attack on HMFEv. JSIAM Letters, 2018.High-rank attack analysis on HMFEv structure.
- Y. Hashimoto. On the security of Circulant UOV/Rainbow. JSIAM Letters, 2019.Security analysis of circulant UOV/Rainbow variants exploiting circulant structure.
- G. G. Hejmadi, P. Ramanathan. The discrete logarithm problem over prime fields: the safe prime case. The smart attack, non-canonical lifts and logarithmic derivatives. Czechoslovak Mathematical Journal, 2018.Adapts Smart's anomalous-curve lifting approach to DLP in safe-prime fields.
- N. N. Hla, T. M. Aung. Attack Experiments on Elliptic Curves of Prime and Binary Fields. Emerging Technologies in Data Mining and Information Security, 2018.Experimental BSGS, rho, Pohlig-Hellman attacks on small prime and binary curves.
- K. Ikuta, S. Joichi, K. Kobayashi, M. A. Khandaker, T. Kusaka, Y. Nogami. A Study on the Parameter Size of the Montgomery Trick for ECDLP. IEEE ISIT 2018, 2018.Montgomery-trick parameter tuning for Pollard rho on BN curves.
- K. Ikuta, S. Joichi, K. Kobayashi, M. A. Khandaker, T. Kusaka, Y. Nogami. A Study on the Parameter of the Distinguished Point Method in Pollard's Rho Method for ECDLP. IEEE ISIT 2018, 2018.Distinguished-point parameter choice for Pollard rho on BN curves.
- L. Jianing, L. Kewei. Solving discrete logarithm problem in an interval using periodic iterates. ICICS 2017, 2017.Interval DLP algorithm using periodic iterates.
- P. A. Kameswari, L. Jyotsna. q Using Sublattice Based Techniques. Cryptography (MDPI), 2018.Sublattice Coppersmith attack on RSA with structured p+q.
- P. Kirchner. NFS factorization: new hopes. Prikladnaya Diskretnaya Matematika, 2018.NFS variants via special number fields, complexity improvements.
- E. Kirshanova. Improved Quantum Information Set Decoding. PQCrypto 2018, 2018.Improved quantum information set decoding.
- T. Kobayashi, Y. Kawahara, T. Saito. The threat of Pairing based cryptographic protocols. 2018.Pairing-friendly curve parameters re-chosen against Kim-Barbulescu exTNFS.
- Y. V. Kosolapov, A. N. Shigaev. The Support Splitting Algorithm for Induced Codes. Modeling and Analysis of Information Systems, 2018.Support-splitting key recovery for McEliece variant on induced codes.
- L. Kovalchuk, O. Bespalov, N. Kuchynska, P. Seliukh, А. В. Жилін, V. V. Tsurkan. Substantiation of correctness and advantages of Lenstra factorization method on Edwards curves. Eastern-European Journal of Enterprise Technologies, 2018.ECM variant on Edwards curves with performance analysis.
- M. Kudo, Y. Yokota, Y. Takahashi, M. Yasuda. Acceleration of Index Calculus for Solving ECDLP over Prime Fields and Its Limitation. CANS 2018, 2018.Accelerated index calculus for prime-field ECDLP and its limits.
- T. Laarhoven, A. Mariano. Progressive lattice sieving. PQCrypto 2018, 2018.Progressive lattice sieving speeds up SVP by factor 20-40.
- T. S. C. Lau, C. H. Tan. Key Recovery Attack on McNie Based on Low Rank Parity Check Codes and Its Reparation. IWSEC 2018, 2018.Key recovery attack on McNie based on LRPC codes.
- H. Q. Le, P. K. Mishra, D. H. Duong, M. Yasuda. Solving LWR via BDD Strategy: Modulus Switching Approach. CANS 2018, 2018.Solving LWR via BDD with modulus switching.
- F. Leprévost, N. Bernard, P. Bouvry. Elliptic Curves Discrete Logarithm Problem over a Finite Field Fp and p-adic Approximations. 2018.ECDLP over Fp via p-adic approximations; title only.
- F. Leprévost, N. Bernard, P. Bouvry. Elliptic Curves Discrete Logarithm Problem over a Finite Prime Field Fp and p-adic Approximations. Proceedings of the 3rd International Conference on Applications in Information Technology, 2018.p-adic elliptic logarithm reformulation of prime-field ECDLP; exploratory attack approach.
- M. Lequesne, J. Tillich. Attack on the Edon-kKey Encapsulation Mechanism. IEEE ISIT 2018, 2018.Polynomial-time EDON-K break via rank-metric LRPC super-code decoding.
- Z. Liu, Y. Pan, T. Xie. Breaking the Hardness Assumption and IND-CPA Security of HQC Submitted to NIST PQC Project. CANS 2018, 2018.Shows s-DQCSD decision problem easy, breaking HQC IND-CPA claims.
- J. Liu, Y. H. Yu, B. Yang, J. Jia, S. Wang, H. Wang. Structural Key Recovery of Simple Matrix Encryption Scheme Family. Comput. J., 2018.Structural key recovery on ABC simple matrix multivariate encryption family.
- G. LUO. Scheme of extending elliptic curve method to three phases. DOAJ (DOAJ: Directory of Open Access Journals), 2018.Three-phase extension of ECM factoring.
- A. Mahalanobis, V. Mallick. A Las Vegas algorithm to solve the elliptic curve discrete logarithm problem. INDOCRYPT 2018, 2018.New non-generic Las Vegas index-calculus-like algorithm for ECDLP.
- Y. Matsuda, T. Teruya, K. Kasiwabara. Estimation of the Success Probability of Random Sampling by the Gram-Charlier Approximation. Cryptology ePrint Archive, Paper 2018/815, 2018.Gram-Charlier estimation of random sampling success for RSR lattice reduction.
- A. May, G. Herold. LP Solutions of Vectorial Integer Subset Sums - Cryptanalysis of Galbraith's Binary Matrix LWE. PKC 2017, 2017.Linear programming attack solves Galbraith binary-matrix LWE challenges in fractions of a second.
- G. D. Micheli, N. Heninger, B. Shani. Characterizing overstretched NTRU attacks. Journal of Mathematical Cryptology, 2020.Analytic and experimental comparison of subfield and subring overstretched NTRU attacks.
- G. R. Moghissi, A. Payandeh. Using Progressive Success Probabilities for Sound-pruned Enumerations in BKZ Algorithm. International Journal of Computer Network and Information Security, 2018.BKZ variant using progressive pruning success probabilities.
- C. neetha, P. ha, D. Kumar, K. deep. New Random Walk Technique and Collision Detection Algorithm to Improve the Pollard RHO Attack of Solving Discrete Logarithm Problem on Elliptic Curves. International Journal of Mathematics Trends and Technology, 2018.New random walk and collision detection for Pollard rho on ECDLP; title only.
- T. Nishiguchi, M. Chen, K. Kodera, A. Miyaji. On the effectiveness of solving ECDLP using Characteristic set methods. IEICE Technical Report, 2018.Characteristic-set methods for solving ECDLP (summation polynomials); title only.
- H. Okada, A. Takayasu, K. Fukushima, S. Kiyomoto, T. Takagi. On the Complexity of the LWR-Solving BKW Algorithm. ICISC 2018, 2018.Asymptotic complexity of BKW for LWR.
- D. Pei, J. Liu. A Note on the Sidelnikov-Shestakov Attack of Niederreiter Scheme. Inscrypt 2018, 2018.Note on Sidelnikov-Shestakov structural attack on GRS Niederreiter.
- P. S. Roy, K. Morozov, K. Fukushima, S. Kiyomoto, T. Takagi. Time Complexity of Syndrome Decoding Problem and Security Analysis of Code-based Signature Scheme. ICISSP, 2019.Title only: time complexity of syndrome decoding for code-based security.
- J. M. Schanck. A Comparison of NTRU Variants. Cryptology ePrint Archive, Paper 2018/1174, 2018.Size vs security trade-offs for NTRU KEM parameter selection.
- J. M. Schanck. Multi-power Post-quantum RSA. Cryptology ePrint Archive, Paper 2018/325, 2018.Security estimates for multi-power RSA against special-purpose and quantum factoring.
- T. Sharma, R. Padmavathy. Special-q Techniques for Number Field Sieve to Solve Integer Factorization. Advances in Intelligent Systems and Computing, 2018.Title only: special-q sieving techniques for NFS factoring.
- D. Smith-Tone. Extracting Linearization Equations from Noisy Sources. Cryptology ePrint Archive, Paper 2018/539, 2018.Linearization-equation attacks on HMFEv parameters; superseded but genuine multivariate cryptanalysis.
- K. Somsuk, C. Sanemueang. The New Modified Methodology to Solve ECDLP Based on Brute Force Attack. Recent Advances in Information and Communication Technology 2018, 2018.Modified brute-force method to solve ECDLP; title only.
- K. Somsuk. The improvement of initial value closer to the target for Fermat’s factorization algorithm. Journal of Discrete Mathematical Sciences and Cryptography, 2018.Improved initial value for Fermat factorization.
- A. Takayasu, N. Kunihiro. Partial Key Exposure Attacks on RSA: Achieving the Boneh-Durfee Bound. Theoretical Computer Science, 2019.Coppersmith partial key exposure attacks on small-d RSA reaching Boneh-Durfee bound.
- S. Terada, H. Nakano, S. Okumura, A. Miyaji. An Experimental Analysis on Lattice Attacks against Ring-LWE over Decomposition Fields. IEEE ISIT 2018, 2018.Experimental lattice attacks probing weak Ring-LWE over decomposition fields.
- T. Teruya. An Observation on the Randomness Assumption over Lattices. IEEE ISIT 2018, 2018.Experimental test of Schnorr randomness assumption behind sampling-reduction cost models.
- T. Teruya, K. Kashiwabara, G. Hanaoka. Fast Lattice Basis Reduction Suitable for Massive Parallelization and Its Application to the Shortest Vector Problem. PKC 2018, 2018.Parallel basis reduction solving SVP Challenge dimension 150 in 394 days.
- Z. Tian. A Hybrid Method for Lattice Basis Reduction and Applications. MacSphere (McMaster University), 2018.New hybrid Jacobi lattice reduction faster than LLL; v0.3.4 rule, GGH attack.
- S. Vynnychuk, Y. Maksymenko. The modified algorithm of fermat’s factorization method with base foundation of module. Collection "Information technology and security", 2018.Accelerated Fermat factorization via modular bases; minor factoring algorithm.
- W. Wang, Y. Wang, A. Takayasu, T. Takagi. Estimated Cost for Solving Generalized Learning with Errors Problem via Embedding Techniques. IWSEC 2018, 2018.Cost estimate for generalized LWE via embedding attacks.
- Y. Wang, Y. Aono, T. Takagi. Hardness Evaluation for Search LWE Problem Using Progressive BKZ Simulator. IEICE Transactions, 2018.Progressive BKZ embedding cost estimates; solves TU Darmstadt LWE challenge instances.
- Y. Wang, T. Takagi. Improving the BKZ Reduction Algorithm by Quick Reordering Technique. ACISP 2018, 2018.Improving BKZ reduction via quick reordering technique.
- Y. WANG, H. Zhang, H. Wang. Quantum Algorithm for Attacking RSA Based on the eth Root. DOAJ (DOAJ: Directory of Open Access Journals), 2018.Quantum algorithm recovering RSA plaintext via e-th roots without factoring.
- Y. Wang, T. Wunderer. Revisiting the Sparsification Technique in Kannan's Embedding Attack on LWE. ISPEC 2018, 2018.Sparsification technique in Kannan embedding attack on LWE.
- H. G. Weldu. Analysis of Lattice Reduction Algorithms : Solving SVP Challenges. Institutional repository, 2018.Progressive BKZ experiments yielding SVP Challenge records in dimensions 117-121.
- B. Wesolowski. Arithmetic and geometric structures in cryptography. EPFL, Switzerland, 2018.Thesis: small-char FF-DLP algorithms, isogeny graphs for abelian-variety DLP, cyclotomic ideal geometry.
- T. Wiggers. Energy-Efficient ARM64 Cluster with Cryptanalytic Applications: 80 Cores That Do Not Cost You an ARM and a Leg. LATINCRYPT 2017, 2017.Optimized Pollard rho on low-cost ARM cluster for ECC2K-130; speed-focused cryptanalytic implementation.
- T. Wunderer. A detailed analysis of the hybrid lattice-reduction and meet-in-the-middle attack. Journal of Mathematical Cryptology, 2018.Refined runtime analysis of hybrid attack; re-estimates security of named parameter sets.
- T. Wunderer. On the Security of Lattice-Based Cryptography Against Lattice Reduction and Hybrid Attacks. Darmstadt University of Technology, Germany, 2018.Concrete uSVP hardness via BKZ success condition and hybrid attacks.
- T. Wunderer, M. Burger, G. N. Nguyen. Parallelizing the Hybrid Lattice-Reduction and Meet-in-the-Middle Attack. 2018 IEEE International Conference on Computational Science and Engineering (CSE), 2018.Parallelization of the hybrid lattice-reduction/meet-in-the-middle attack.
- D. Xiao, J. Zhuang, Q. Cheng. Factor base discrete logarithms in Kummer extensions. Finite Fields and Their Applications, 2018.Linear algebra phase of factor-base DLP in Kummer extension fields.
- Y. Yang. On zero-dimensional polynomial systems and their applications to the elliptic curve discrete logarithm problem. Dissertation (Nanyang Technological University), 2018.Thesis on zero-dimensional polynomial systems for ECDLP; abstract uninformative.
- M. Yasuda, J. Yamaguchi, M. Ooka, S. Nakamura. Development of a Dual Version of DeepBKZ and Its Application to Solving the LWE Challenge. AFRICACRYPT 2018, 2018.Dual DeepBKZ algorithm used to solve LWE challenge instances.
- F. Zhang, S. Liu. Solving ECDLP via List Decoding. ProvSec 2019, 2019.Speculative ECDLP approach via list decoding of elliptic codes.
- M. Zheng. Improved Results on Factoring General RSA Moduli with Known Bits. IEEE Access, 2023.Coppersmith-style factoring of p^r q^s moduli with known prime bits.
- Ν. Β. Χατζής. BKZ algorithm revisited. Aristotle University of Thessaloniki, 2018.Thesis on BKZ 2.0/extreme pruning with new randomization and pruning variant.
2017130 items2017.bib
- D. Aggarwal, N. Stephens-Davidowitz. Just Take the Average! An Embarrassingly Simple 2^n-Time Algorithm for SVP (and CVP). SODA 2018, 2018.Simple 2^n-time SVP/CVP algorithm.
- S. Ahn, H. Lee, S. Lim, I. Yie. A Lattice Attack on Homomorphic NTRU with Non-invertible Public Keys. ICICS 2017, 2017.Lattice attack on homomorphic NTRU with non-invertible keys.
- M. R. Albrecht. On dual lattice attacks against small-secret LWE and parameter choices in HElib and SEAL. EUROCRYPT 2017, 2017.Dual-lattice attack variants for small-secret LWE; revised HElib and SEAL estimates.
- M. R. Albrecht, F. Göpfert, F. Virdia, T. Wunderer. Revisiting the Expected Cost of Solving uSVP and Applications to LWE. ASIACRYPT 2017, 2017.Revisits uSVP success condition for BKZ; refined LWE cost estimates.
- S. Alsayigh, J. Ding, T. Takagi, Y. Wang. The Beauty and the Beasts - The Hard Cases in LLL Reduction. IWSEC 2017, 2017.Analysis of hard input cases for LLL reduction behaviour; title only.
- A. Amadori, F. Pintore, M. Sala. On the discrete logarithm problem for prime-field elliptic curves. Finite Fields and Their Applications, 2018.Summation-polynomial index calculus variant for prime-field ECDLP.
- Y. Aono, P. Q. Nguyen. Random Sampling Revisited: Lattice Enumeration with Discrete Pruning. EUROCRYPT 2017, 2017.Discrete pruning enumeration; first sound analysis of random sampling.
- N. Aragon, P. Gaborit, A. Hauteville, J. Tillich. Improvement of Generic Attacks on the Rank Syndrome Decoding Problem. IEEE ISIT 2018, 2018.Improved generic rank syndrome decoding algorithm.
- J. Bahr, Y. H. Kim, G. Taylor, E. Neyman, L. Babinkostova. Characterizing Finite Fields With Anomalous Elliptic Curves. ScholarWorks (Boise State University), 2017.Characterizes anomalous primes to identify weak anomalous curves.
- R. Barbulescu, S. Duquesne. Updating key size estimations for pairings. Journal of Cryptology, 2018.Updated pairing key sizes after NFS variants improvements.
- A. Becker, D. Kostic. Speeding up lattice sieve with Xeon Phi coprocessor. Cryptology ePrint Archive, Paper 2017/592, 2017.Lattice sieve speedup on Xeon Phi coprocessor.
- D. J. Bernstein, J. Biasse, M. Mosca. A Low-Resource Quantum Factoring Algorithm. PQCrypto 2017, 2017.Low-qubit quantum-assisted NFS factoring algorithm.
- D. J. Bernstein, N. Heninger, P. Lou, L. Valenta. Post-quantum RSA. PQCrypto 2017, 2017.pqRSA parameters with new quantum factoring algorithm (GEECM) in attack analysis.
- J. Biasse. Approximate Short Vectors in Ideal Lattices of \(\)\mathbb Q(\zeta _p^e)\(\) with Precomputation of \(\)\text Cl(\mathcal O_K)\(\). Selected Areas in Cryptography (SAC) 2017, 2017.Approximate short vectors in prime-power cyclotomic ideal lattices via class group.
- J. Biasse, T. Espitau, P. Fouque, A. Gélin, P. Kirchner. Computing generator in cyclotomic integer rings, A subfield algorithm for the Principal Ideal Problem in L(1/2) and application to cryptanalysis of a FHE scheme. EUROCRYPT 2017, 2017.L(1/2) subfield PIP algorithm in cyclotomics; recovers Smart-Vercauteren keys.
- N. Bindel, J. Buchmann, F. Göpfert, M. Schmidt. Estimation of the Hardness of the Learning with Errors Problem with a Restricted Number of Samples. Journal of Mathematical Cryptology, 2019.LWE hardness estimates with restricted sample counts; extends LWE-Estimator.
- A. Bocharov, M. Roetteler, K. M. Svore. Factoring with qutrits: Shor's algorithm on ternary and metaplectic quantum architectures. Physical Review A, 2017.Resource cost of Shor factoring on ternary/metaplectic architectures.
- S. Bogos. LPN in Cryptography - an Algorithmic Study. EPFL, Switzerland, 2017.Thesis analysing and optimizing LPN solving algorithms.
- J. Bootle, M. Tibouchi. Cryptanalysis of Compact-LWE. CT-RSA 2018, 2018.Lattice-reduction break of Compact-LWE parameters; decrypts from public key.
- L. Both, A. May. Decoding Linear Codes with High Error Rate and its Impact for LPN Security. PQCrypto 2018, 2018.Nearest-neighbor ISD improving full-distance decoding; implications for LPN.
- F. Boudot. On Improving Integer Factorization and Discrete Logarithm Computation using Partial Triangulation. Cryptology ePrint Archive, Paper 2017/758, 2017.NFS step improvements; reduces 768-bit prime-field DLP cost estimate.
- R. P. Brent, A. Kruppa, P. A. Zimmermann. FFT Extension for Algebraic-Group Factorization Algorithms. Topics in Computational Number Theory Inspired by Peter L. Montgomery, 2017.FFT stage-2 extension for P-1, P+1 and ECM factoring.
- M. A. Budiman, D. Rachmawati. On factoring RSA modulus using random-restart hill-climbing algorithm and Pollard’s rho algorithm. Journal of Physics: Conference Series, 2017.Hill-climbing metaheuristic factoring compared to Pollard rho; weak.
- A. Caminata, E. Gorla. Solving multivariate polynomial systems and an invariant from commutative algebra. WAIFI 2020, 2020.Rigorous solving-degree bounds for Groebner basis attacks on cryptographic polynomial systems.
- A. Candra, M. A. Budiman, D. Rachmawati. On Factoring The RSA Modulus Using Tabu Search. Data Science: Journal of Computing and Applied Informatics, 2017.Tabu-search factoring of RSA moduli compared with Pollard; weak but factoring-centred.
- H. Chen, K. E. Lauter, K. E. Stange. Attacks on the Search RLWE Problem with Small Errors. SIAM Journal on Applied Algebra and Geometry, 2017.Subfield-vulnerability attacks on search RLWE with small errors.Same work as openalex:W2403700287; counted there, weight 0 here.
- J. Chen, Y. Feng, W. Wu. Reducing lattice bases with Bergman exchange. 2017 IEEE 9th International Conference on Communication Software and Networks (ICCSN), 2017.New LLL-type reduction with Bergman global exchange, polynomial time.
- Y. Chen, K. Chung, C. Lai. Space-efficient classical and quantum algorithms for the shortest vector problem. Quantum Information & Computation, 2018.Space-efficient classical and quantum SVP algorithms.
- C. Cheng, K. Kodera, A. Miyaji. On the Computational Complexity of ECDLP for Elliptic Curves in Various Forms Using Index Calculus. ICISC 2017, 2017.Index calculus complexity for ECDLP on various curve forms.
- J. H. Cheon, M. Hhan, C. Lee. Cryptanalysis of Middle Lattice on the Overstretched NTRU Problem for General Modulus Polynomial. Cryptology ePrint Archive, Paper 2017/484, 2017.Middle-lattice and extended subfield attacks on overstretched NTRU.
- J. H. Cheon, M. Hhan, C. Lee. Cryptanalysis of the Overstretched NTRU Problem for General Modulus Polynomial. IACR Cryptology ePrint Archive, 2017.Overstretched NTRU attack for general modulus polynomials.
- M. A. Cherepniov. A Note on the Kernel of Group Homomorphism from the Weil Descent Method. Journal of Mathematical Sciences, 2017.Kernel of Weil descent homomorphism; GHS-type ECDLP transfer analysis (title only).
- H. Corrigan-Gibbs, D. Kogan. The Discrete-Logarithm Problem with Preprocessing. EUROCRYPT 2018, 2018.Tight generic lower bounds and attacks for discrete log with preprocessing.
- A. Couvreur, I. M. Corbella, R. Pellikaan. Cryptanalysis of McEliece Cryptosystem Based on Algebraic Geometry Codes and Their Subcodes. IEEE Transactions on Information Theory, 2017.Polynomial-time structural attacks on McEliece with AG codes and subcodes.Same work as openalex:W2951670448; counted there, weight 0 here.
- T. Debris-Alazard, J. Tillich. Statistical decoding. IEEE ISIT 2017, 2017.Asymptotic complexity and lower bound for statistical decoding.
- J. DeMarrais. Algorithms for the discrete logarithm problem and algebraic aspects of quantum computation. University of Southern California Digital Library, 2017.Subexponential DLP algorithms for finite fields and hyperelliptic Jacobians.
- S. Devadas, L. Ren, H. Xiao. On Iterative Collision Search for LPN and Subset Sum. TCC 2017, 2017.Rigorous analysis of iterative collision search (LF2) for LPN and subset sum.
- G. Dhumal, R. Padmavathy. Sparse linear algebra in function field sieve. 2017 8th International Conference on Computing, Communication and Networking Technologies (ICCCNT), 2017.Block Wiedemann linear algebra analysis for FFS discrete log.
- V. Drăgoi. An algebraic approach for the resolution of algorithmic problems raised by cryptography and coding theory. Dissertation (Agence Bibliographique de l'Enseignement Supérieur), 2017.Thesis: MDPC McEliece weak-key recovery and polar-code McEliece structural analysis.
- L. Ducas. Shortest Vector from Lattice Sieving: a Few Dimensions for Free. EUROCRYPT 2018, 2018.Dimensions-for-free sieving speedup for SVP.
- D. H. Duong, M. Yasuda, T. Takagi. Choosing Parameters for the Subfield Lattice Attack against overstretched NTRU. ISC (Information Security Conference) 2017, 2017.Better subfield choices for subfield attack break overstretched NTRU with smaller moduli.
- M. Ekerå, J. Håstad. Quantum algorithms for computing short discrete logarithms and factoring RSA integers. PQCrypto 2017, 2017.Quantum short-DLP algorithm tradeoffs and RSA factoring via short DLP.
- T. Emmanuel. The block Lanczos algorithm. Topics in Computational Number Theory Inspired by Peter L. Montgomery, 2017.Block Lanczos for NFS sparse linear algebra, with simplifications and improvements.
- A. Esser, R. Kübler, A. May. LPN Decoded. Cryptology ePrint Archive, Paper 2017/078, 2017.Low-memory classical and quantum LPN algorithms; solves k=243 instance in 15 days.
- J. Faugère, A. Wallet. The point decomposition problem over hyperelliptic curves - Toward efficient computation of discrete logarithms in even characteristic. Designs, Codes and Cryptography, 2017.Point decomposition for index calculus on (hyper)elliptic curves, even characteristic.
- A. Gélin. Calcul de groupes de classes d'un corps de nombres et applications à la cryptologie. Pierre and Marie Curie University, Paris, France, 2017.Thesis: class group and principal ideal problem algorithms used against ideal-lattice schemes.
- A. Gélin. Class Group Computations in Number Fields and Applications to Cryptology. (Calcul de Groupes de Classes d'un Corps de Nombres et Applications à la Cryptologie). Pierre and Marie Curie University, Paris, France, 2017.Thesis on class group and principal ideal problem algorithms, relevant to ideal-lattice attacks.Same work as openalex:W2795344461; counted there, weight 0 here.
- F. Göpfert, C. v. Vredendaal, T. Wunderer. A Hybrid Lattice Basis Reduction and Quantum Search Attack on LWE. PQCrypto 2017, 2017.Quantum hybrid attack on LWE with concrete NewHope/Frodo estimates.
- L. Grémy. Algorithmes de crible pour le logarithme discret dans les corps finis de moyenne caractéristique. University of Lorraine, Nancy, France, 2017.Thesis: new higher-dimensional sieves for NFS discrete log in medium characteristic.
- L. Grémy, A. Guillevic, F. Morain. Breaking DLP in \(GF(p^5)\) using 3-dimensional sieving. HAL, 2017.NFS-DL computation in GF(p^5) with 3D sieving.
- L. Grémy, A. Guillevic, F. Morain, E. Thomé. Computing Discrete Logarithms in \(\)\mathbb F_p^6\(\). Selected Areas in Cryptography (SAC) 2017, 2017.Record DL computation in F_p^6 with NFS.
- L. Grémy. Sieve algorithms for the discrete logarithm in medium characteristic finite fields. (Algorithmes de crible pour le logarithme discret dans les corps finis de moyenne caractéristique). University of Lorraine, Nancy, France, 2017.Higher-dimensional sieving for NFS DLP in medium characteristic.Same work as openalex:W2768613171; counted there, weight 0 here.
- C. T. Gueye, J. B. Klamti, S. Hirose. Generalization of BJMM-ISD Using May-Ozerov Nearest Neighbor Algorithm over an Arbitrary Finite Field \mathbb F_q. C2SI 2017, 2017.BJMM ISD with May-Ozerov generalized to F_q.
- A. Guillevic. Faster individual discrete logarithms with the QPA and NFS variants. HAL (Le Centre pour la Communication Scientifique Directe), 2017.Faster individual-log initial splitting for NFS/QPA in non-prime fields.
- Q. Guo, T. Johansson, E. Mårtensson, P. Stankovski. Coded-BKW with Sieving. ASIACRYPT 2017, 2017.Coded-BKW with sieving for LWE.
- Q. Guo, T. Johansson, E. Mårtensson, P. Stankovski. Information set decoding with soft information and some cryptographic applications. IEEE ISIT 2017, 2017.Stern ISD with soft information, applied to attack a McEliece-type scheme.
- Y. Hashimoto. Chosen ciphertext attack on ZHFE. JSIAM Letters, 2017.CCA on ZHFE reducing key recovery to HFE MinRank.
- A. Hauteville. Nouveaux protocoles et nouvelles attaques pour la cryptologie basée sur les codes en métrique rang. (New protocols and new attacks on rank metric code-based cryptography). University of Limoges, France, 2017.Thesis with new rank-metric decoding attacks (plus protocols); substantial attack component.
- G. Herold, E. Kirshanova. Improved Algorithms for the Approximate k-List Problem in Euclidean Norm. PKC 2017, 2017.Improved approximate k-list algorithms giving faster memory-efficient lattice sieving.
- G. Herold, E. Kirshanova, T. Laarhoven. Speed-ups and time-memory trade-offs for tuple lattice sieving. PKC 2018, 2018.Improved tuple sieving time-memory trade-offs for SVP.
- M. Hittmeir. A babystep-giantstep method for faster deterministic integer factorization. Mathematics of Computation, 2018.Superpolynomial improvement of deterministic Strassen factoring bound.
- P. Holzer, T. Wunderer. Recovering Short Generators of Principal Fractional Ideals in Cyclotomic Fields of Conductor \(p^\alpha q^\beta\). INDOCRYPT 2017, 2017.Recovers short generators of principal ideals in cyclotomics of conductor p^a q^b.
- B. S. K. Jr. A Quantum ``Magic Box'' for the Discrete Logarithm Problem. Cryptology ePrint Archive, Paper 2017/745, 2017.Simplified Shor variant as Blum-Micali MSB oracle for quantum DLP.
- G. Kachigar, J. Tillich. Quantum Information Set Decoding Algorithms. PQCrypto 2017, 2017.Quantum-walk information set decoding algorithms.
- B. Kacsmar, S. Plosker, R. Henry. Computing Low-Weight Discrete Logarithms. Selected Areas in Cryptography (SAC) 2017, 2017.Baby-step giant-step algorithms for low-weight exponent discrete logarithms.
- M. Kędzierski, M. Misztal, M. Wroński. Realization of coprocessor which supports counting of discrete logarithm on elliptic curves with partial knowledge. Bulletin of the Military University of Technology, 2017.FPGA Gaudry-Schost ECDLP solver when key bits partially known.
- B. K. Khadka, S. M. Magliveras. Techniques in Lattice Basis Reduction. CoRR, 2017.New optimization techniques combined with LLL for basis reduction.
- T. Kim, C. Lee. Lattice Reductions over Euclidean Rings with Applications to Cryptanalysis. IMA Cryptography and Coding (IMACC) 2017, 2017.Lattice reduction over Euclidean rings (module lattices) with cryptanalytic applications.
- G. Kimsanova, R. İsmailova, R. R. Sultanov. Comparative Analysis Of Integer Factorization Algorithms Using Cpu And Gpu. MANAS Journal of Engineering, 2017.CPU vs GPU timing of elementary factoring algorithms.
- K. Kimura, H. Waki. A Mixed Integer Quadratic Formulation for the Shortest Vector Problem. CREST Crypto-Math Project, 2017.Mixed-integer quadratic formulation for solving SVP.
- K. Kimura, H. Waki, M. Yasuda. Application of mixed integer quadratic program to shortest vector problems. JSIAM Letters, 2017.Mixed-integer quadratic programming to solve SVP benchmark instances.
- P. Kirchner, P. Fouque. Revisiting Lattice Attacks on Overstretched NTRU Parameters. EUROCRYPT 2017, 2017.Lattice and subfield attacks on overstretched NTRU parameters.
- E. Kirshanova. Complexity of the learning with errors problem and memory-efficient lattice sieving. Bochum University, Germany, 2017.Thesis: complexity of lattice attacks on LWE and new memory-efficient triple sieving.
- M. Kiviharju. On the fog of RSA key lengths: Verifying public key cryptography strength recommendations. 2017 International Conference on Military Communications and Information Systems (ICMCIS), 2017.Method for measuring RSA/DH key size security levels.
- T. Kleinjung, C. Diem, A. K. Lenstra, C. Priplata, C. Stahlke. Computation of a 768-bit prime field discrete logarithm. EUROCRYPT 2017, 2017.NFS computation of a 768-bit prime field discrete logarithm.
- V. Kumar, A. Roy, S. Sengupta, S. S. Gupta. Parallelized Common Factor Attack on RSA. ICISS, 2017.Parallel batch-GCD common-factor attack on weak RSA moduli.
- T. Kusaka, S. Joichi, K. Ikuta, M. A. Khandaker, Y. Nogami, S. Uehara et al. Solving 114-Bit ECDLP for a Barreto-Naehrig Curve. ICISC 2017, 2017.Solves 114-bit ECDLP on a BN curve.
- P. Kushwaha, A. Mahalanobis. A Probabilistic Baby-Step Giant-Step Algorithm. SECRYPT, 2017.Probabilistic BSGS variant using DL order structure; claims weakness in NIST prime curves.
- T. Laarhoven. Faster tuple lattice sieving using spherical locality-sensitive filters. CoRR, 2017.Faster tuple lattice sieving via spherical locality-sensitive filters.
- T. Laarhoven. Graph-Based Time-Space Trade-Offs for Approximate Near Neighbors. SoCG, 2018.Graph-based near-neighbor trade-offs explicitly applied to lattice sieving complexity.
- J. D. Lee, R. Venkatesan. Rigorous analysis of a randomised number field sieve. Journal of Number Theory, 2017.Rigorous complexity analysis of a randomised number field sieve.
- G. McGuire, D. Mueller. A New Index Calculus Algorithm for the Elliptic Curve Discrete Logarithm Problem and Summation Polynomial Evaluation. Cryptology ePrint Archive, Paper 2017/1262, 2017.New summation-polynomial index calculus for ECDLP.
- G. McGuire, D. Müller. A few more index calculus algorithms for the ECDLP. IACR Cryptology ePrint Archive, 2017.New index calculus algorithms for ECDLP (title only).
- S. D. Miller, B. Narayanan, R. Venkatesan. Coppersmith's lattices and ``focus groups'': an attack on small-exponent RSA. Cryptology ePrint Archive, Paper 2017/835, 2017.Smaller Coppersmith lattices for small-exponent RSA root finding.
- J. V. Monaco, M. M. Vindiola. Factoring Integers With a Brain-Inspired Computer. IEEE Transactions on Circuits and Systems I: Regular Papers, 2017.Neuromorphic sieve for smoothness detection in quadratic sieve factoring.
- J. V. Monaco, M. M. Vindiola. Integer factorization with a neuromorphic sieve. 2017 IEEE International Symposium on Circuits and Systems (ISCAS), 2017.Neuromorphic hardware implementation of factoring sieve; speed-oriented implementation.
- D. Moody, R. Perlner, D. Smith-Tone. Improved Attacks for Characteristic-2 Parameters of the Cubic ABC Simple Matrix Encryption Scheme. PQCrypto 2017, 2017.Structural MinRank-style attack on cubic ABC Simple Matrix in characteristic 2.
- I. Muchtadi-Alamsyah, T. A. Utomo. Implementation of Pollard Rho over binary fields using Brent Cycle Detection Algorithm. Journal of Physics: Conference Series, 2017.Pollard rho with Brent cycle detection for binary-field ECDLP, compared experimentally.
- M. Nemec, M. Sýs, P. Svenda, D. Klinec, V. Matyas. The Return of Coppersmith's Attack: Practical Factorization of Widely Used RSA Moduli. ACM CCS 2017, 2017.ROCA: Coppersmith factoring of structurally weak RSA moduli from deployed library.
- M. Nemec, M. Sýs, P. Švenda, D. Klinec, V. Matyáš. The Return of Coppersmith's Attack. ACM CCS 2017, 2017.ROCA: Coppersmith factoring of structured primes from deployed RSA library.
- A. Neumaier. Bounding basis reduction properties. Designs, Codes and Cryptography, 2016.Improved complexity bounds and guarantees for basis reduction algorithms.
- J. Panetta, P. R. P. d. S. Filho, L. A. F. Laranjeira, C. A. Teixeira. Scalability of CPU and GPU Solutions of the Prime Elliptic Curve Discrete Logarithm Problem. 2017 29th International Symposium on Computer Architecture and High Performance Computing (SBAC-PAD), 2017.GPU parallel collision search solves 79- and 94-bit prime ECDLP with resources.
- C. Park. Cryptanalysis of Matrix-based UOV. Finite Fields and Their Applications, 2018.Cryptanalysis of matrix-based UOV variant (title only).
- C. Petit. Faster Algorithms for Isogeny Problems using Torsion Point Images. ASIACRYPT 2017, 2017.Exploits torsion point images to speed isogeny problems; SIDH-variant key recovery.
- A. Ravali, K. Sangeeta. On the reduction of large sparse matrices. 2017 International Conference On Smart Technologies For Smart Nation (SmartTechCon), 2017.Sparse matrix reduction for factoring linear-algebra step.
- T. Ribaric. Elliptic Curve Cryptography using Computational Intelligence. Institutional repository, 2017.Evolved Pollard rho iteration functions reducing ECDLP iterations.
- T. Ribaric, S. K. Houghten. Genetic programming for improved cryptanalysis of elliptic curve cryptosystems. 2017 IEEE Congress on Evolutionary Computation (CEC), 2017.Evolved iteration functions reduce Pollard rho iterations for ECDLP.
- M. Roetteler, M. Naehrig, K. M. Svore, K. Lauter. Quantum Resource Estimates for Computing Elliptic Curve Discrete Logarithms. ASIACRYPT 2017, 2017.Quantum resource estimates for Shor ECDLP on NIST prime curves.
- A. Sakre, A. Gurbani, P. Dedwal, J. V. Parallel Implementation of Pohlig-Hellman to Compute Discrete Logarithms. International Journal of Computer Applications, 2017.Parallel Pohlig-Hellman implementation timing; minor speed contribution.
- K. Shim, N. Koo, C. Park. Security Analysis of Improved Cubic UOV Signature Schemes. ICISC 2017, 2017.Title only: security analysis (attacks) of improved cubic UOV schemes.
- S. Singh, S. Padhye. Cryptanalysis of NTRU with n public keys. 2017 ISEA Asia Security and Privacy (ISEASP), 2017.Lattice attack on NTRU given n related public keys.
- H. K. Singh. Designing Optimized Architecture for Solving Elliptic Curve Discrete Log Problem Using Pollard's rho method. Dissertation (institution not recorded), 2017.Hardware architecture for parallel rho with negation map on ECDLP.
- K. Somsuk, K. Tientanopajai. An Improvement of Fermat's Factorization by Considering the Last m Digits of Modulus to Decrease Computation Time. Int. J. Netw. Secur., 2017.Fermat factorization variant skipping candidates by last digits.
- S. N. L. A. N. S. N. M. S. B. A. P. N. States), W. Cordwell, U. A. S. f. H. Resources, Administration. Complexity of the GNFS. 2017.Complexity analysis of GNFS factoring (report).
- A. Takayasu, Y. Lu, L. Peng. Small CRT-Exponent RSA Revisited. EUROCRYPT 2017, 2017.Improved Coppersmith lattice attacks on small CRT-exponent RSA.
- M. Trimoska, S. Ionica, G. Dequen. Time-Memory Trade-offs for Parallel Collision Search Algorithms. CHES / TCHES 2021, 2021.Memory-efficient parallel collision search data structures for ECDLP.
- J. Vates, D. Smith-Tone. Key Recovery Attack for All Parameters of HFE-. PQCrypto 2017, 2017.Key recovery attack on HFE- for all parameters.
- V. Vitse. Field extensions and index calculus on algebraic curves. IMA Cryptography and Coding (IMACC) 2017, 2017.Index calculus on Jacobians of curves over extension fields (v0.3.2).
- E. J. Vuicik, D. Šešok, S. Ramanauskaitė. Efficiency of RSA Key Factorization by Open-Source Libraries and Distributed System Architecture. Baltic Journal of Modern Computing, 2017.Benchmarks NFS libraries on clusters, factoring 81-digit numbers; effort estimates.
- P. Wang, D. Shang. A New Lattice Sieving Algorithm Base on Angular Locality-Sensitive Hashing. Inscrypt 2017, 2017.New lattice sieving algorithm based on angular LSH.
- Y. Wang, S. Yan, H. Zhang. A new quantum algorithm for computing RSA ciphertext period. Wuhan University Journal of Natural Sciences, 2017.Quantum order-finding of RSA ciphertext to recover plaintext without factoring.
- Y. Wang, Y. Aono, T. Takagi. An Experimental Study of Kannan's Embedding Technique for the Search LWE Problem. ICICS 2017, 2017.Experimental study of Kannan embedding for search LWE.
- J. Wen, X. Chang. On the KZ Reduction. IEEE Transactions on Information Theory, 2019.New faster KZ reduction algorithm and bounds; generic reduction (v0.3.4).
- M. Wronski, T. Kijko. On the Possibility of Transformation of Multidimensional ECDLP into 1-Dimensional ECDLP. NuTMiC 2017, 2017.Transforming multidimensional ECDLP into one-dimensional ECDLP; title only.
- R. Xu, S. L. Yeo, K. Fukushima, T. Takagi, H. Seo, S. Kiyomoto et al. An Experimental Study of the BDD Approach for the Search LWE Problem. ACNS 2017, 2017.Experimental study of BDD attack on search LWE.
- J. Yamaguchi, M. Yasuda. Explicit Formula for Gram-Schmidt Vectors in LLL with Deep Insertions and Its Applications. NuTMiC 2017, 2017.Explicit Gram-Schmidt formula for deep-insertion LLL and applications.
- Z. Yang, S. Fu, L. Qu, C. Li. A lower dimension lattice attack on NTRU. Science China Information Sciences, 2017.Lower-dimension lattice attack on NTRU; title only.
- S. Yang, P. Kuo, B. Yang, C. Cheng. Gauss Sieve Algorithm on GPUs. CT-RSA 2017, 2017.GPU Gauss sieve for SVP.
- M. Yasuda, K. Yokoyama, T. Shimoyama, J. Kogure, T. Koshiba. Analysis of decreasing squared-sum of Gram-Schmidt lengths for short lattice vectors. Journal of Mathematical Cryptology, 2017.Analysis of Fukase-Kashiwabara Gram-Schmidt sum reduction for finding short vectors.
- M. Yasuda. Simple Analysis of Key Recovery Attack Against LWE. CREST Crypto-Math Project, 2017.Title: complexity analysis of key recovery attack against LWE.
- J. H. M. Ying, N. Kunihiro. Bounds in Various Generalized Settings of the Discrete Logarithm Problem. ACNS 2017, 2017.Bounds for generalized DLP settings; generic hardness analysis.
- Y. Yu, L. Ducas. Second Order Statistical Behavior of LLL and BKZ. Selected Areas in Cryptography (SAC) 2017, 2017.Second-order statistical model of LLL/BKZ behaviour.
- V. K. Zadiraka, А. М. Кудін, І. В. Швідченко, P. Seliukh, P. Komada, A. Kalizhanova. Security estimates updating of asymmetric cryptosystems for modern computing. Recent Advances in Information Technology, 2017.Updated RSA factorization cost estimates (GNFS, cloud) and parameter sizes.
- P. Zajac. Connecting the Complexity of MQ- and Code-Based Cryptosystems. Tatra Mountains Mathematical Publications, 2017.Bounds complexity of solving MQ systems via decoding tools through MRHS.
- B. Zhang, X. Gong. New Algorithms for Solving LPN. Cryptology ePrint Archive, Paper 2017/780, 2017.Improved BKW-style LPN algorithms with k-sum and hybrid reduction.
- J. Zhu, Y. Hou, M. Xu. A new construction method of factor basis elements for special elliptic curves over cubic extension field. 2017 IEEE 9th International Conference on Communication Software and Networks (ICCSN), 2017.Point decomposition method for index calculus on special curves over cubic extensions.
- J. Zhu, M. Xu. A simple method to obtain relations among factor basis elements for special hyperelliptic curves. 2017 International Conference on Computer, Information and Telecommunication Systems (CITS), 2017.Relation finding for index calculus on special hyperelliptic curves in characteristic 2.
- . Constructing Weak Curves ECDLP-Equivalent to Ordinary Curves via Elliptic Surfaces. Proceedings of 2017 the 7th International Workshop on Computer Science and Engineering, 2017.Constructs weak supersingular curves ECDLP-equivalent to ordinary curves via elliptic surfaces.
- І. Горбенко, О. Качко, K. A. Pogrebnyak, L. V. Makutonin. ANALYSIS, ASSESSMENT AND PROPOSALS REGARDING THE METHOD FOR GENERATION OF SYSTEM PARAMETERS IN NTRU-LIKE ASYMMETRIC SYSTEMS. Telecommunications and Radio Engineering, 2017.Attack-based parameter assessment for NTRU-like systems.
- Н. Л. Замарашкин, D. A. Zheltkov. GPU Acceleration of Dense Matrix and Block Operations for Lanczos Method for Systems over Large Prime Finite Field. RuSCDays, 2017.GPU F2 kernels for block Lanczos in RSA factoring linear algebra.
2016121 items2016.bib
- N. A. Abu, S. F. Abdul-Latip, M. R. K. Ariffin. A Comparative S-Index in Factoring RSA Modulus via Lucas Sequences. Cryptology ePrint Archive, Paper 2016/937, 2016.Lucas-sequence S-index heuristic for factoring RSA moduli; weakly substantiated.
- M. Agrawal, N. Saxena, S. Sahai. Integer Factoring Using Small Algebraic Dependencies. MFCS, 2016.New factoring algorithm exploiting small algebraic dependencies between prime factors.
- O. Akchiche, O. Khadir. Factoring multi-power RSA moduli with primes sharing least or most significant bits. Groups Complexity Cryptology, 2016.Factoring multi-power RSA moduli with primes sharing bits.
- M. Albrecht, S. Bai, L. Ducas. A subfield lattice attack on overstretched NTRU assumptions: Cryptanalysis of some FHE and Graded Encoding Schemes. CRYPTO 2016, 2016.Subfield lattice attack on overstretched NTRU affecting LTV/YASHE.
- Y. Aono, Y. Wang, T. Hayashi, T. Takagi. Improved Progressive BKZ Algorithms and their Precise Cost Estimation by Sharp Simulator. EUROCRYPT 2016, 2016.Improved progressive BKZ with sharp simulator and cost model.
- Y. Aono, Y. Wang, T. Hayashi, T. Takagi. Security estimation for lattice based cryptosystems by progressive BKZ algorithm (From Eurocrypt 2016). IEICE Technical Report, 2016.Progressive BKZ simulation for security estimation of lattice cryptosystems.
- S. Bai, T. Laarhoven, D. Stehle. Tuple lattice sieving. LMS Journal of Computation and Mathematics, 2016.Tuple lattice sieving trading time for memory in SVP.
- R. Barbulescu, P. Gaudry, A. Guillevic, F. Morain. Improving NFS for the discrete logarithm problem in non-prime finite fields. EUROCRYPT 2015, 2015.New NFS polynomial selection for GF(p^n); 595-bit GF(p^2) DLP computed.
- M. Bardet, J. Chaulet, V. Dragoi, A. Otmani, J. Tillich. Cryptanalysis of the McEliece Public Key Cryptosystem Based on Polar Codes. PQCrypto 2016, 2016.Structural key recovery on McEliece instantiated with polar codes.
- D. D. Bernstein, S. Engels, T. T. Lange, R. R. Niederhagen, C. Paar, P. Schwabe et al. Faster discrete logarithms on FPGAs. IACR Cryptology ePrint Archive, 2016.FPGA Pollard rho solving sect113r2 ECDL, new size record.
- D. J. Bernstein, S. Engels, T. Lange, R. Niederhagen, C. Paar, P. Schwabe et al. Faster elliptic-curve discrete logarithms on FPGAs. Cryptology ePrint Archive, Paper 2016/382, 2016.FPGA rho cores; solves sect113r2 ECDLP, new size record.
- J. Biasse, F. Song. Efficient quantum algorithms for computing class groups and solving the principal ideal problem in arbitrary degree number fields. SODA 2015, 2015.Quantum class group and PIP algorithms underlying ideal-lattice attacks.
- S. Bogos, S. Vaudenay. Observations on the LPN Solving Algorithm from Eurocrypt'16. Cryptology ePrint Archive, Paper 2016/437, 2016.Refutes claimed improvement of Eurocrypt'16 LPN algorithm.
- S. Bogos, S. Vaudenay. Optimization of LPN Solving Algorithms. ASIACRYPT 2016, 2016.Automated optimization of LPN solving algorithm chains.Same work as dblp:conf-asiacrypt-BogosV16; counted there, weight 0 here.
- S. Bogos, S. Vaudenay. Optimization of \mathsf LPN Solving Algorithms. ASIACRYPT 2016, 2016.Optimization of LPN solving algorithms.
- G. Bonnoron, C. Fontaine. A note on Ring-LWE security in the case of Fully Homomorphic Encryption. INDOCRYPT 2017, 2017.Special-purpose attack on Ring-LWE with FHE-shaped parameters.
- J. Buchmann, F. Göpfert, R. Player, T. Wunderer. On the Hardness of LWE with Binary Error: Revisiting the Hybrid Lattice-Reduction and Meet-in-the-Middle Attack. AFRICACRYPT 2016, 2016.Hybrid lattice/MitM attack on LWE with binary error with improved analysis.
- W. Castryck, I. Iliashenko, F. Vercauteren. On Error Distributions in Ring-based LWE. LMS Journal of Computation and Mathematics, 2016.Number field families where non-dual Ring-LWE error variant is easily broken.
- W. Castryck, I. Iliashenko, F. Vercauteren. On the tightness of the error bound in Ring-LWE. IACR Cryptology ePrint Archive, 2016.Shows Ring-LWE error bound tight: narrower errors attackable in some number fields.
- W. Castryck, I. Iliashenko, F. Vercauteren. Provably Weak Instances of Ring-LWE Revisited. EUROCRYPT 2016, 2016.Search-RLWE attack on weak polynomial families with few samples.
- H. Chen, K. Lauter, K. E. Stange. Security considerations for Galois non-dual RLWE families. Selected Areas in Cryptography (SAC) 2016, 2016.Improved attacks and vulnerable Galois fields for non-dual RLWE.
- C. Cheng, T. Chou, R. Niederhagen, B. Yang. Solving Quadratic Equations with XL on Parallel Architectures - extended version. CHES / TCHES 2012, 2012.Parallel XL/block Wiedemann MQ solver; solves 32-variable system in 5 days.
- J. H. Cheon, J. Jeong, C. Lee. An Algorithm for NTRU Problems and Cryptanalysis of the GGH Multilinear Map without a Low Level Encoding of Zero. LMS Journal of Computation and Mathematics, 2016.Subfield reduction solves overstretched NTRU in quasi-polynomial time; attacks GGH13 multilinear maps.
- T. Chinburg, B. Hemenway, N. Heninger, Z. Scherr. Cryptographic applications of capacity theory: On the optimality of Coppersmith's method for univariate polynomials. ASIACRYPT 2016, 2016.Capacity theory proves optimality of Coppersmith univariate bound.
- I. V. Chizhov, Б. М. Алексеевич. Cryptanalysis of the mceliece pkc based on (k - 1)-reed - muller subcodes. Prikladnaya Diskretnaya Matematika, 2016.Structural attack on McEliece with Reed-Muller subcodes; title only.
- S. Christian. Computing discrete logarithms using \(\mathcalO((\log q)^2)\) operations from \(\+,-,\times,\div,\&\\). Groups Complexity Cryptology, 2016.DL in few operations in extended arithmetic model; theoretical, impractical.
- F. Correia, A. Mariano, A. Proença, C. H. Bischof, E. Agrell. Parallel Improved Schnorr-Euchner Enumeration SE++ for the CVP and SVP. 2016 24th Euromicro International Conference on Parallel, Distributed, and Network-Based Processing (PDP), 2016.Parallel improved Schnorr-Euchner enumeration for SVP/CVP.
- F. Correia, A. Mariano, A. Proença, C. H. Bischof, E. Agrell. Parallel Improved Schnorr-Euchner Enumeration SE++ on Shared and Distributed Memory Systems, With and Without Extreme Pruning. J. Wirel. Mob. Networks Ubiquitous Comput. Dependable Appl., 2016.Parallel Schnorr-Euchner enumeration with extreme pruning.
- N. T. Courtois. High Saturation Complete Graph Approach for EC Point Decomposition and ECDL Problem. Cryptology ePrint Archive, Paper 2016/704, 2016.Dense polynomial systems approach to EC point decomposition for ECDLP.
- N. T. Courtois. On Splitting a Point with Summation Polynomials in Binary Elliptic Curves. Cryptology ePrint Archive, Paper 2016/003, 2016.Point-splitting algorithms via summation polynomials on binary curves.
- A. Couvreur, A. Otmani, J. Tillich, V. Gauthier-Umana. A Polynomial-Time Attack on the BBCRS Scheme. PKC 2015, 2015.Polynomial-time key recovery on BBCRS McEliece variant with hidden GRS codes.
- R. Cramer, L. Ducas, B. Wesolowski. Short Stickelberger Class Relations and application to Ideal-SVP. EUROCRYPT 2017, 2017.Quantum Ideal-SVP algorithm via Stickelberger class relations.
- E. Crockett, C. Peikert. Challenges for Ring-LWE. Cryptology ePrint Archive, Paper 2016/782, 2016.Ring-LWE/LWR challenge instances with BKZ hardness estimates to drive cryptanalysis.
- Y. Deng, Y. Pan. The Sum of Binomial Coefficients and Integer Factorization. Integers, 2016.New elementary factoring method via binomial coefficient sums; not competitive.
- E. Doulgerakis, T. Laarhoven, B. d. Weger. Finding closest lattice vectors using approximate Voronoi cells. PQCrypto 2019, 2019.Faster CVPP via approximate Voronoi cells and randomized slicing.
- A. Dudeanu. Computational Aspects of Jacobians of Hyperelliptic Curves. EPFL, Switzerland, 2016.Rigorous Pollard rho r-adding walk analysis plus genus-2 isogeny computation.
- M. Ekerå. Modifying Shor’s algorithm to compute short discrete logarithms. Cryptology ePrint Archive, Paper 2016/1128, 2016.Ekera modified Shor algorithm for short discrete logarithms.
- L. Eldar, P. W. Shor. An Efficient Quantum Algorithm for a Variant of the Closest Lattice-Vector Problem. arXiv, 2016.Eldar-Shor quantum BDD/CVP-variant algorithm, later withdrawn after flaw found.
- T. Espitau, P. Fouque, A. Gélin, P. Kirchner. Computing generator in cyclotomic integer rings. Cryptology ePrint Archive, Paper 2016/957, 2016.Subexponential L(1/2) PIP algorithm in cyclotomic fields; recovers Smart-Vercauteren keys.
- J. Fried, P. Gaudry, N. Heninger, E. Thomé. A kilobit hidden SNFS discrete logarithm computation. EUROCRYPT 2017, 2017.Kilobit SNFS discrete log in trapdoored 1024-bit prime field.
- P. Gaborit, A. Otmani, H. T. Kalachi. Polynomial-time key recovery attack on the Faure-Loidreau scheme based on Gabidulin codes. Designs, Codes and Cryptography, 2017.Polynomial-time key recovery on Faure-Loidreau Gabidulin scheme.
- Z. Gao, L. Xu, W. Shi. MapReduce for Elliptic Curve Discrete Logarithm Problem. 2016 IEEE World Congress on Services (SERVICES), 2016.MapReduce cloud parallel collision search for ECDLP.
- P. Gaudry, L. Grémy, M. Videau. Collecting relations for the Number Field Sieve in \(GF(p^6)\). LMS Journal of Computation and Mathematics, 2016.NFS relation collection in dimension 3 for GF(p^6).Same work as dblp:journals-lmsjcm-GaudryGV16; counted there, weight 0 here.
- P. Gaudry, L. Grémy, M. Videau. Collecting relations for the number field sieve in. LMS Journal of Computation and Mathematics, 2016.3D sieving relation collection for NFS in F_p^6.
- S. W. Gebregiyorgis. Algorithms for the Elliptic Curve Discrete Logarithm Problem and the Approximate Common Divisor Problem. ResearchSpace (University of Auckland), 2016.Thesis on summation-polynomial index calculus for binary ECDLP and ACD algorithms.
- A. Gélin, T. Kleinjung, A. K. Lenstra. Parametrizations for Families of ECM-friendly curves. ISSAC 2017, 2017.New ECM-friendly curve families speeding elliptic curve factoring method.
- F. Göpfert. Securely Instantiating Cryptographic Schemes Based on the Learning with Errors Assumption. Darmstadt University of Technology, Germany, 2016.Thesis on LWE hardness estimation and parameter selection.
- R. Granger, T. Kleinjung, J. Zumbrägel. On the discrete logarithm problem in finite fields of fixed characteristic. Transactions of the American Mathematical Society, 2016.Quasi-polynomial DLP algorithm in fixed-characteristic finite fields.
- A. Guillevic. Faster individual discrete logarithms in finite fields of composite extension degree. Mathematics of Computation, 2018.Improved initial splitting for individual logs in composite-degree finite fields.
- A. Guillevic. Faster individual discrete logarithms in non-prime finite fields with the NFS and FFS algorithms. IACR Cryptology ePrint Archive, 2016.Faster individual-logarithm initial splitting for NFS/FFS in non-prime fields.
- A. Guillevic, F. Morain, E. Thomé. Solving discrete logarithms on a 170-bit MNT curve by pairing reduction. Selected Areas in Cryptography (SAC) 2016, 2016.Solves DLP on 170-bit MNT curve via pairing transfer to 508-bit field.
- Q. Guo, T. Johansson, P. Stankovski. Coded-BKW: Solving LWE Using Lattice Codes. CRYPTO 2015, 2015.Coded-BKW algorithm for solving LWE using lattice codes.
- M. M. Haque, J. Pieprzyk. Analysing recursive preprocessing of BKZ lattice reduction algorithm. IET Information Security, 2017.Optimizes recursive preprocessing and pruning for BKZ enumeration with closed-form complexity.
- R. Harasawa, H. Ryuto, Y. Sueyoshi. A Simple Improvement for Integer Factorizations with Implicit Hints. IEICE Transactions, 2016.Improved lattice method for factoring RSA moduli with implicit hints (shared LSBs).
- Y. Hashimoto. Key Recovery Attacks on Multivariate Public Key Cryptosystems Derived from Quadratic Forms over an Extension Field. IEICE Transactions, 2013.Polynomial-time partial key recovery on extension-field MPKCs.
- Y. Hashimoto. On the security of Cubic UOV and its variants. Cryptology ePrint Archive, Paper 2016/788, 2016.Equivalent key recovery on Cubic UOV and variants.
- H. Heer, G. McGuire, O. Robinson. JKL-ECM: an implementation of ECM using Hessian curves. LMS Journal of Computation and Mathematics, 2016.ECM implementation with twisted Hessian curves competitive with GMP-ECM.
- S. Hirose. May-Ozerov Algorithm for Nearest-Neighbor Problem over \(\mathbb{F}_{q}\) and Its Application to Information Set Decoding. SECITC 2016, 2016.May-Ozerov nearest neighbour over F_q applied to ISD.
- S. Hirose. May-Ozerov algorithm for nearest-neighbor problem over Fq and its application to information set decoding. Lecture notes in computer science, 2016.May-Ozerov nearest neighbour over Fq applied to ISD.
- S. Hirose. q and Its Application to Information Set Decoding. SECITC 2016, 2016.Nearest-neighbor algorithm over F_q applied to information set decoding; truncated title.
- A. Horlemann-Trautmann, K. Marshall, J. Rosenthal. Considerations for rank-based cryptosystems. IEEE ISIT 2016, 2016.Extends rank decoding attack and structural attack breaking Gabidulin-based cryptosystem.
- M. Ishii, J. Detrey, P. Gaudry, A. Inomata, K. Fujikawa. Fast Modular Arithmetic on the Kalray MPPA-256 Processor for an Energy-Efficient Implementation of ECM. IEEE Trans. Computers, 2017.Energy-efficient ECM implementation on manycore processor for cryptanalytic factoring.
- A. Joux, C. Pierrot. Nearly sparse linear algebra and application to discrete logarithms computations. Contemporary Developments in Finite Fields and Applications, 2016.Block Wiedemann for nearly sparse matrices in finite-field DL computations.
- S. Kajitani, Y. Nogami, S. Miyoshi, T. H. Austin, M. A. Khandaker, N. Begum et al. Web-based Volunteer Computing for Solving the Elliptic Curve Discrete Logarithm Problem. International Journal of Networking and Computing, 2016.Web volunteer computing solves 70-bit ECDLP with reported timings.Journal extension of dblp:conf-ic-nc-KajitaniNMA15; counted at 0.33.
- S. Kim, H. Kwon, Y. Lee, N. S. Chang, K. Yoon, C. H. Kim et al. Efficient Optimization Method for Polynomial Selection. Inscrypt 2016, 2016.Faster polynomial optimization in CADO-NFS polynomial selection.
- S. Kim, J. Kwon, C. Sung-Min, N. S. Chang, K. Yoon, C. W. Han et al. Enhanced Polynomial Selection Method for GNFS. Inscrypt 2016, 2016.Improved GNFS polynomial selection in CADO-NFS.
- T. Kim, J. Jeong. Extended Tower Number Field Sieve with Application to Finite Fields of Arbitrary Composite Extension Degree. PKC 2017, 2017.Extended TNFS for arbitrary composite extension degree.
- P. Kirchner. Algorithms on Ideal over Complex Multiplication order. Cryptology ePrint Archive, Paper 2016/220, 2016.Gentry-Szydlo generalized to CM orders; principal ideal and unit algorithms.
- P. Kirchner, P. Fouque. Comparison between Subfield and Straightforward Attacks on NTRU. Cryptology ePrint Archive, Paper 2016/717, 2016.Subring and straightforward lattice attacks on overstretched NTRU; breaks YASHE instances.
- P. Kirchner, P. Fouque. Time-Memory Trade-Off for Lattice Enumeration in a Ball. Cryptology ePrint Archive, Paper 2016/222, 2016.Time-memory trade-off enumeration in a ball; 3^n SVP/approx CVP.
- E. Kirshanova, A. May, F. Wiemer. Parallel Implementation of BDD enumeration for LWE. ACNS 2016, 2016.First parallel BDD enumeration implementation for LWE with practical cryptanalytic results.
- T. Kleinjung. Quadratic sieving. Mathematics of Computation, 2015.Improved self-initialization for the quadratic sieve.
- E. A. Krouk, A. A. Ovchinnikov. About one structural attack on McEliece cryptosystem. 2016 XV International Symposium Problems of Redundancy in Information and Control Systems (REDUNDANCY), 2016.Structural McEliece attack using code permutation automorphism groups.
- M. Kudo. Attacks against search Poly-LWE. Cryptology ePrint Archive, Paper 2016/1153, 2016.Polynomial-time attacks on search Poly-LWE for weak defining polynomials.
- M. Kudo, J. Yamaguchi, Y. Guo, M. Yasuda. Practical Analysis of Key Recovery Attack Against Search-LWE Problem. IWSEC 2016, 2016.Practical analysis of key recovery attack on search-LWE.
- T. Laarhoven. Randomized lattice sieving for the closest vector problem (with preprocessing). Selected Areas in Cryptography (SAC) 2016, 2016.Randomized lattice sieving for CVP with preprocessing.
- P. Lisonek, L. Trummer. Algorithms for the minimum weight of linear codes. Advances in Mathematics of Communications, 2016.Information-set algorithms for minimum weight of linear codes; low-weight codeword finding.
- Y. Maksymenko. The way of effective use of incremental with multiple thinning of test values for Fermat's factoring method. Collection "Information technology and security", 2016.Improved test-value sieving for Fermat factoring.
- A. Mariano, T. Laarhoven, C. Bischof. A Parallel Variant of LDSieve for the SVP on Lattices. 2017 25th Euromicro International Conference on Parallel, Distributed and Network-based Processing (PDP), 2017.Parallel LDSieve implementation for SVP.
- A. Mariano, C. H. Bischof. Enhancing the Scalability and Memory Usage of Hashsieve on Multi-core CPUs. 2016 24th Euromicro International Conference on Parallel, Distributed, and Network-Based Processing (PDP), 2016.Faster multi-core HashSieve SVP implementation, 3-4x speedup.
- A. Mariano. High performance algorithms for lattice-based cryptanalysis. Darmstadt University of Technology, Germany, 2016.Thesis on high-performance SVP sieving/enumeration algorithms.
- E. Mårtensson. Solving NTRU Challenges Using the New Progressive BKZ Library. Lund University Publications Student Papers (Lund University), 2016.Solves first five NTRU Challenges with progressive BKZ.
- A. Menezes, P. Sarkar, S. Singh. Challenges with Assessing the Impact of NFS Advances on the Security of Pairing-based Cryptography. Mycrypt 2016, 2016.Overview of tower/extended NFS advances and difficulty assessing pairing keylengths.
- K. Nagao. Bit Coincidence Mining Algorithm II. Cryptology ePrint Archive, Paper 2016/924, 2016.Heuristic subexponential ECDLP via bit coincidence mining and XL.
- A. Nakhong, B. Chiewthanakul. A variant of Pollard's Rho method for the ECDLP over a field of characteristic two. Engineering and Applied Science Research, 2016.Pollard rho variant for ECDLP over binary fields; modest contribution.
- A. Y. Nesterenko. Some remarks on the elliptic curve discrete logarithm problem. Matematicheskie Voprosy Kriptografii, 2016.Parallelizable ECDLP algorithm using known multiplicative order of the solution.
- A. Neumaier, D. Stehle. Faster LLL-type Reduction of Lattice Bases. ISSAC 2016, 2016.Asymptotically faster LLL-type reduction.
- R. Niebuhr, E. Persichetti, P. Cayrel, S. Bulygin, J. A. Buchmann. On lower bounds for Information Set Decoding over Fq and on the effect of Partial Knowledge. International Journal of Information and Coding Theory, 2016.ISD lower bounds over Fq and attack cost with partial secret knowledge.
- A. Otmani, H. T. Kalachi, S. Ndjeya. Improved cryptanalysis of rank metric schemes based on Gabidulin codes. Designs, Codes and Cryptography, 2017.Improved structural cryptanalysis of Gabidulin-based rank-metric schemes.
- G. Pandey, S. K. Pal. Polynomial selection in number field sieve for integer factorization. Perspectives in Science, 2016.GNFS polynomial selection algorithm.
- A. Pejlová. Generating polynomials for number field sieve. Institutional repository, 2016.Thesis on Kleinjung NFS polynomial selection with implementation.
- C. Petit, M. Kosters, A. Messeng. Algebraic Approaches for the Elliptic Curve Discrete Logarithm Problem over Prime Fields. PKC 2016, 2016.Algebraic index-calculus approaches to prime-field ECDLP.
- P. Sarkar, S. Singh. A General Polynomial Selection Method and New Asymptotic Complexities for the Tower Number Field Sieve Algorithm. ASIACRYPT 2016, 2016.New polynomial selection and improved TNFS asymptotics for medium-prime DLP.
- P. Sarkar, S. Singh. A Generalisation of the Conjugation Method for Polynomial Selection for the Extended Tower Number Field Sieve Algorithm. Cryptology ePrint Archive, Paper 2016/537, 2016.Generalized conjugation polynomial selection for exTNFS; lower complexity in ranges.
- P. Sarkar, S. Singh. Tower Number Field Sieve Variant of a Recent Polynomial Selection Method. Cryptology ePrint Archive, Paper 2016/401, 2016.Sarkar-Singh polynomial selection for TNFS; new asymptotic complexities.
- C. Schridde. Computing discrete logarithms using 𝒪((log q)2) operations from +, -, ×, ÷, &. Groups Complexity Cryptology, 2016.DL in few operations in extended arithmetic model; theoretical, impractical.
- K. Somsuk, K. Tientanopajai. Improving fermat factorization algorithm by dividing modulus into three forms. Engineering and Applied Science Research, 2016.Improved Fermat factorization variant.
- A. Takayasu, N. Kunihiro. A Tool Kit for Partial Key Exposure Attacks on RSA. CT-RSA 2017, 2017.Coppersmith lattice partial key exposure attacks on (multi-prime) RSA; factoring-class.
- A. Takayasu, N. Kunihiro. How to Generalize RSA Cryptanalyses. PKC 2016, 2016.Generalized Coppersmith lattices for Takagi and prime-power RSA variants.
- A. Takayasu, N. Kunihiro. Small secret exponent attacks on RSA with unbalanced prime factors. ISITA 2016, 2016.Extends Boneh-Durfee small-d attack to unbalanced-prime RSA.
- L. T. Thijs. Search problems in cryptography : from fingerprinting to lattice sieving. Institutional repository, 2016.Laarhoven thesis; core contribution is nearest-neighbour-based lattice sieving algorithms.
- E. Thomé. A modified block Lanczos algorithm with fewer vectors. Cryptology ePrint Archive, Paper 2016/329, 2016.Modified block Lanczos for NFS linear algebra.
- R. C. Torres, N. Sendrier. Analysis of Information Set Decoding for a Sub-linear Error Weight. PQCrypto 2016, 2016.Asymptotic analysis of ISD for sublinear error weight.
- C. v. Vredendaal. Reduced Memory Meet-in-the-Middle Attack against the NTRU Private Key. LMS Journal of Computation and Mathematics, 2016.Low-memory golden-collision meet-in-the-middle attack on NTRU private keys.
- A. Wallet. Le problème de décompositions de points dans les variétés Jacobiennes. Pierre and Marie Curie University, Paris, France, 2016.Thesis on point decomposition/index calculus for DLP in Jacobians of genus>1.
- Q. Wang, X. Fan, H. Zang, Y. Wang. The Space Complexity Analysis in the General Number Field Sieve Integer Factorization. Theoretical Computer Science, 2016.Space complexity analysis of general number field sieve.
- J. Weng, Y. Dou, C. Ma. New algorithm for the elliptic curve discrete logarithm problem with auxiliary inputs. Applicable Algebra in Engineering, Communication and Computing, 2016.New algorithm for ECDLP with auxiliary inputs.
- J. Weng, Y. Dou, C. Ma. Research on Attacking a Special Elliptic Curve Discrete Logarithm Problem. Mathematical Problems in Engineering, 2016.New algorithm for ECDLP with auxiliary inputs, Cheon-style variant.
- T. Wunderer. Revisiting the Hybrid Attack: Improved Analysis and Refined Security Estimates. Cryptology ePrint Archive, Paper 2016/733, 2016.Improved hybrid attack runtime analysis and refined estimates for NTRU and others.
- T. Wunderer. Revisiting the Hybrid Attack: Improved Analysis and Refined Security Estimates. IACR Cryptology ePrint Archive, 2016.Improved hybrid attack runtime analysis and refined security estimates for NTRU-type schemes.Same work as eprint:2016-733; counted there, weight 0 here.
- J. Xu, L. Hu, S. Sarkar, X. Zhang, Z. Huang, L. Peng. Cryptanalysis of Multi-Prime \(\Phi\)-Hiding Assumption. ISC (Information Security Conference) 2016, 2016.Herrmann-May lattice attack on multi-prime Phi-hiding problem.
- L. T. Yang, Y. Huang, J. Feng, Q. Pan, C. Zhu. An improved parallel block Lanczos algorithm over GF(2) for integer factorization. Information Sciences, 2017.Improved parallel block Lanczos over GF(2) for factoring.
- L. T. Yang, G. Huang, J. Feng, L. Xu. Parallel GNFS algorithm integrated with parallel block Wiedemann algorithm for RSA security in cloud computing. Information Sciences, 2017.Parallel GNFS with parallel block Wiedemann.
- M. Yasuda, T. Shimoyama, J. Kogure, T. Izu. Computational hardness of IFP and ECDLP. Applicable Algebra in Engineering, Communication and Computing, 2016.Concrete computational hardness estimates for IFP and ECDLP.
- R. Yee. On the effectiveness of isogeny walks for extending cover attacks on elliptic curves. Institutional repository, 2016.Isogeny walks extending Weil-descent cover attacks; shows F_2^150 partially weak.
- H. Yu, G. Bai. Specific hardware implementation for cofactorization in GNFS. 2016 International Conference on Computer, Information and Telecommunication Systems (CITS), 2016.Hardware cofactorization for GNFS; speed-oriented factoring machinery.
- B. Zhang, L. Jiao, M. Wang. Faster Algorithms for Solving LPN. EUROCRYPT 2016, 2016.Faster BKW-type LPN algorithms with concatenated perfect codes.
- W. Zhang, C. H. Tan. On the Security and Key Generation of the ZHFE Encryption Scheme. IWSEC 2016, 2016.Theoretical ZHFE security estimate via Q-rank and degree of regularity bounds.
- Z. Zheng, X. Wang, G. Xu, Y. Yu. Orthogonalized Lattice Enumeration for Solving SVP. Sci. China Inf. Sci., 2018.Orthogonalized enumeration and mixed BKZ for faster SVP.
- Y. Zhu, J. Zhuang, C. Lv, D. Lin. Improvements on the Individual Logarithm Step in Extended Tower Number Field Sieve. Theoretical Computer Science, 2020.Improved individual logarithm step in exTNFS using subfield structure.
- Н. Л. Замарашкин, D. A. Zheltkov. Block Lanczos–Montgomery Method with Reduced Data Exchanges. Supercomputing, 2016.Block Lanczos-Montgomery with reduced communication; factoring linear algebra.
2015123 items2015.bib
- G. Adj, A. Menezes, T. C. d. A. Oliveira, F. Rodríguez‐Henríquez. Computing Discrete Logarithms in \(\)\mathbb F_3^6 \cdot 137\(\) and \(\)\mathbb F_3^6 \cdot 163\(\) Using Magma. WAIFI 2015, 2015.Discrete log computations in F_3^6*137 and F_3^6*163.
- D. Adrian, K. Bhargavan, Z. Durumeric, P. Gaudry, M. Green, J. A. Halderman et al. Imperfect Forward Secrecy: How Diffie-Hellman Fails in Practice. ACM CCS 2015, 2015.Logjam: NFS-DL on 512-bit groups computed, 1024-bit cost estimated for deployed groups.
- D. Aggarwal, D. Dadush, N. Stephens-Davidowitz. Solving the Closest Vector Problem in 2^n Time - The Discrete Gaussian Strikes Again! FOCS 2015, 2015.2^n-time exact CVP algorithm via discrete Gaussian sampling.
- D. Aggarwal, D. Dadush, O. Regev, N. Stephens-Davidowitz. Solving the Shortest Vector Problem in 2 n Time Using Discrete Gaussian Sampling. STOC 2015, 2015.2^n-time SVP via discrete Gaussian sampling.
- M. R. Albrecht, R. Player, S. Scott. On the concrete hardness of Learning with Errors. Journal of Mathematical Cryptology, 2015.Concrete LWE hardness survey and estimator.
- Y. Aono, L. T. Phong, L. Wang. Hardness Estimation of LWE via Band Pruning. Cryptology ePrint Archive, Paper 2015/1026, 2015.Band-pruning enumeration and LWE bit-security estimation formula.
- M. A. Asbullah. Cryptanalysis on the modulus N=p2q and design of rabin-like cryptosystem without decryption failure. Institutional repository, 2015.Thesis with conditional polynomial-time factoring attacks on N=p^2q, plus Rabin-like design.
- S. Bai, C. Bouvier, A. Kruppa, P. Zimmermann. Better polynomials for GNFS. Mathematics of Computation, 2015.Improved GNFS polynomial selection.
- R. Barbulescu, P. Gaudry, T. Kleinjung. The Tower Number Field Sieve. ASIACRYPT 2015, 2015.Tower NFS variant for DLP in small-degree extension fields.
- S. C. Batson. On the Relationship Between Two Embeddings of Ideals into Geometric Space and the Shortest Vector Problem in Principal Ideal Lattices. Institutional repository, 2015.Algebraic structure of principal ideal lattices toward algebraic ideal-SVP.
- A. Becker, T. Laarhoven. Efficient (ideal) lattice sieving using cross-polytope LSH. AFRICACRYPT 2016, 2016.Cross-polytope LSH sieving for SVP on arbitrary and ideal lattices.
- A. Becker, L. Ducas, N. Gama, T. Laarhoven. New directions in nearest neighbor searching with applications to lattice sieving. SODA 2016, 2016.Locality-sensitive filters giving 2^0.292n lattice sieving.
- A. Becker, N. Gama, A. Joux. Speeding-up lattice sieving without increasing the memory, using sub-quadratic nearest neighbor search. Cryptology ePrint Archive, Paper 2015/522, 2015.Sub-quadratic nearest neighbor search speeding lattice sieving.
- E. Ben-Sasson, I. Ben-Tov, I. Damgard, Y. Ishai, N. ron-Zewi. On Public Key Encryption from Noisy Codewords. PKC 2016, 2016.Generic subexponential attacks on noisy-codeword PKE over binary field; new LPN algorithm derivation.
- J. Biasse. A fast algorithm for finding a short generator of a principal ideal of \(\mathbb{Q}(\zeta_{p^s})\). arXiv, 2015.Subexponential short-generator/PIP algorithm in prime-power cyclotomics.
- S. Bogos, F. Tramer, S. Vaudenay. On Solving Lpn using BKW and Variants. Cryptography and Communications, 2015.Comprehensive analysis and tighter bounds for BKW-type LPN solvers.
- C. Bouvier. Algorithmes pour la factorisation d'entiers et le calcul de logarithme discret. (Algorithms for integer factorization and discrete logarithms computation). University of Lorraine, Nancy, France, 2015.Thesis on algorithms for factoring and discrete log computation.
- H. Chen, K. Lauter, K. E. Stange. Attacks on Search RLWE. SIAM Journal on Applied Algebra and Geometry, 2017.Chi-square attacks on Search RLWE in weak Galois fields.
- H. Chen, K. E. Lauter, K. E. Stange. Attacks on the Search-RLWE problem with small error. SIAM Journal on Applied Algebra and Geometry, 2017.Subfield and ramified-modulus attacks on non-dual search RLWE with small error.Same work as openalex:W2403700287; counted there, weight 0 here.
- J. H. Cheon, C. Lee. Approximate Algorithms on Lattices with Small Determinant. Cryptology ePrint Archive, Paper 2015/461, 2015.Approximate SVP/CVP algorithms for small-determinant lattices beating LLL.
- B. Choudhury, S. Neog. Particle Swarm Optimization Algorithm for Integer Factorization Problem (IFP). International Journal of Computer Applications, 2015.Particle swarm heuristic for factoring small numbers; weak but attack-oriented.
- S. Cimato, S. Mella, R. Susella. New Results for Partial Key Exposure on RSA with Exponent Blinding. Proceedings of the 12th International Conference on Security and Cryptography, 2015.Improved Coppersmith partial key exposure bounds for blinded RSA and CRT-RSA.
- R. Cramer, L. Ducas, C. Peikert, O. Regev. Recovering Short Generators of Principal Ideals in Cyclotomic Rings. EUROCRYPT 2016, 2016.Log-unit lattice decoding recovers short generators of principal ideals.
- D. Ding, G. Zhu, X. Wang. A Genetic Algorithm for Searching the Shortest Lattice Vector of SVP Challenge. GECCO, 2015.Genetic algorithm for SVP benchmarked on SVP challenge.Same work as eprint:2014-489; counted there, weight 0 here.
- A. Duc, F. Tramèr, S. Vaudenay. Better Algorithms for LWE and LWR. EUROCRYPT 2015, 2015.Improved BKW algorithm for LWE and LWR via multidimensional FFT.
- N. Dück, K. Zimmermann. Heuristic decoding of linear codes using commutative algebra. Designs, Codes and Cryptography, 2014.Heuristic decoding of general linear codes via commutative algebra.
- Y. Elias, K. E. Lauter, E. Ozman, K. E. Stange. Provably weak instances of Ring-LWE. CRYPTO 2015, 2015.Provably weak Ring-LWE instances over special number fields.
- S. Fluhrer. Quantum Cryptanalysis of NTRU. Cryptology ePrint Archive, Paper 2015/676, 2015.Quantum key and plaintext recovery attacks on NTRUEncrypt parameter sets.
- A. Fowler, S. D. Galbraith. Kangaroo Methods for Solving the Interval Discrete Logarithm Problem. CoRR, 2015.Kangaroo algorithms for interval DLP.
- M. Fukase, K. Kashiwabara. An Accelerated Algorithm for Solving SVP Based on Statistical Analysis. J. Inf. Process., 2015.Accelerated random-sampling SVP algorithm; solved dimension-132 SVP instance.
- S. D. Galbraith, P. Wang, F. Zhang. Computing Elliptic Curve Discrete Logarithms with Improved Baby-step Giant-step Algorithm. Advances in Mathematics of Communications, 2017.Improved BSGS and grumpy-giants analysis for ECDLP and interval DLP.
- A. Gora, M. Alfred, O. Thomaz, R. Francisco. Weakness of \(\mathbbF_3^6 \cdot 1429\) and \(\mathbbF_2^4 \cdot 3041\) for discrete logarithm cryptography. Finite Fields and Their Applications, 2015.Concrete cost analysis showing pairing fields weak under new small-characteristic DL algorithms.
- F. Grosshans, T. Lawson, F. Morain, B. Smith. Factoring Safe Semiprimes with a Single Quantum Query. arXiv, 2015.Improved Shor post-processing factoring safe semiprimes with one quantum query.
- A. Guillevic. Computing Individual Discrete Logarithms Faster in \(GF(p^n)\). ASIACRYPT 2015, 2015.Faster individual-logarithm booting step in NFS for GF(p^n).
- A. Guillevic. Computing Individual Discrete Logarithms Faster in GF(p n ) with the NFS-DL Algorithm. ASIACRYPT 2015, 2015.Faster individual logarithm step of NFS-DL in GF(p^n).Same work as openalex:W3033484880; counted there, weight 0 here.
- A. Guillevic. Computing discrete logarithms in \(GF(p^n)\): practical improvement of the individual logarithm step. ASIACRYPT 2015, 2015.Improved NFS individual-logarithm step in GF(p^n).
- M. M. Haque, J. Pieprzyk. Optimizing preprocessing method of recursive-BKZ lattice reduction algorithm. 2015 2nd International Conference on Electrical Information and Communication Technologies (EICT), 2015.Optimized pruning and preprocessing for recursive BKZ.
- Y. Hashimoto. Cryptanalysis of multi-HFE. Cryptology ePrint Archive, Paper 2015/1160, 2015.Diagonalization attack recovering equivalent multi-HFE keys in polynomial time.
- A. Hauteville, J. Tillich. New algorithms for decoding in the rank metric and an attack on the LRPC cryptosystem. IEEE ISIT 2015, 2015.Faster rank-metric decoding algorithms and attack on LRPC parameters.
- K. Hayasaka, K. Aoki, T. Kobayashi, T. Takagi. A construction of 3-dimensional lattice sieve for number field sieve over F_p^n. Cryptology ePrint Archive, Paper 2015/1179, 2015.3D lattice sieve for NFS over F_p^n.
- A. Häggvik, M. Khalili. Factorization patterns in 3-SAT : Analysis of clause ordering for reductions of the integer factorization problem. Institutional repository, 2015.Student study of SAT-reduction factoring and clause ordering effects on solver runtime.
- G. Herold, E. Kirshanova, A. May. On the Asymptotic Complexity of Solving LWE. Designs, Codes and Cryptography, 2018.Asymptotic comparison of lattice and BKW algorithms for search LWE.
- G. A. Hiary. A deterministic algorithm for integer factorization. Mathematics of Computation, 2015.New deterministic n^1/3 factoring algorithm.
- M. Hittmeir. Digit Polynomials and their application to integer factorization. arXiv, 2015.Deterministic O(N^1/4+eps) factoring via digit polynomials.
- J. Hoffstein, J. Pipher, J. M. Schanck, J. H. Silverman, W. Whyte, Z. Zhang. Choosing Parameters for NTRUEncrypt. CT-RSA 2017, 2017.Security estimates and parameter generation for NTRUEncrypt.
- J. Hong, H. Lee. ANALYSIS OF POSSIBLE PRE-COMPUTATION AIDED DLP SOLVING ALGORITHMS. Journal of the Korean Mathematical Society, 2015.Precomputation-aided generic DLP algorithms via Hellman tables.
- A. Horlemann-Trautmann, K. Marshall, J. Rosenthal. Extension of Overbeck's attack for Gabidulin-based cryptosystems. Designs, Codes and Cryptography, 2017.Generalized Overbeck structural attack breaking Gabidulin-based GPT variants.
- M. Huang. Implementation of Sieving Step of NFS On Reconfigurable Platform. 2015.NFS sieving step on reconfigurable hardware; speed-oriented.
- Y. Huang, C. Petit, N. Shinohara, T. Takagi. Improvement of FPPR method to solve ECDLP. Pacific Journal of Mathematics for Industry, 2015.Symmetrized FPPR summation-polynomial method for binary-field ECDLP.
- M. A. Huang, M. Kosters, S. L. Yeo. Last fall degree, HFE, and Weil descent attacks on ECDLP. CRYPTO 2015, 2015.Last fall degree bounds HFE Weil descent; casts doubt on first fall degree ECDLP heuristic.
- Y. Huang, C. Petit, N. Shinohara, T. Takagi. On Generalized First Fall Degree Assumptions. Cryptology ePrint Archive, Paper 2015/358, 2015.Studies first fall degree assumption underpinning binary ECDLP summation-polynomial algorithms.
- M. A. Huang, M. Kosters, Y. Yang, S. L. Yeo. On the last fall degree of zero-dimensional Weil descent systems. Journal of Symbolic Computation, 2018.Last fall degree bounds for Weil descent systems; complexity of algebraic attacks.
- T. Iijima, F. Momose, J. Chao. A classification of elliptic curves with respect to the GHS attack in odd characteristic. Cryptology ePrint Archive, Paper 2015/805, 2015.Classification of elliptic curves vulnerable to GHS Weil descent in odd characteristic.
- M. Indaco, F. Lauri, A. Miele, P. Trotta. An Efficient Many-Core Architecture for Elliptic Curve Cryptography Security Assessment. FPL, 2015.Many-core Pollard rho hardware; cost estimate for ECCp-131.
- H. Jeljeli. Accelerating Iterative SpMV for the Discrete Logarithm Problem Using GPUs. WAIFI 2014, 2014.GPU sparse matrix-vector acceleration for index-calculus DLP linear algebra.Same work as openalex:W2949245726; counted there, weight 0 here.
- A. Joux, C. Pierrot. Nearly Sparse Linear Algebra. IACR Cryptology ePrint Archive, 2015.Nearly sparse block Wiedemann for finite field DL linear algebra.
- S. Kajitani, Y. Nogami, S. Miyoshi, T. H. Austin. Volunteer Computing for Solving an Elliptic Curve Discrete Logarithm Problem. 2015 Third International Symposium on Computing and Networking (CANDAR), 2015.Solves 70-bit ECDLP via web volunteer computing with timings.
- K. Karabina. Point Decomposition Problem in Binary Elliptic Curves. ICISC 2015, 2015.Speeding point decomposition for binary curves via auxiliary variables.
- S. Kijima, R. Montenegro. Collision of Random Walks and a Refined Analysis of Attacks on the Discrete Logarithm Problem. PKC 2015, 2015.Refined collision analysis of random-walk generic DL attacks.
- T. Kim. Extended Tower Number Field Sieve: A New Complexity for Medium Prime Case. CRYPTO 2016, 2016.Extended TNFS: new complexity for medium-prime finite-field DLP.
- T. Kim, R. Barbulescu. Extended Tower Number Field Sieve: A New Complexity for the Medium Prime Case. CRYPTO 2016, 2016.exTNFS lowers medium-prime extension-field DLP complexity.Same work as openalex:W3196197733; counted there, weight 0 here.
- Y. Kim. Fast Factorization Methods based on Elliptic Curves over Finite Fields. The Journal of the Korea institute of electronic communication sciences, 2015.Faster point-multiplication arithmetic speeding ECM factoring.
- T. Kim. Multiple Discrete Logarithm Problems with Auxiliary Inputs. ASIACRYPT 2015, 2015.Algorithms for multiple DLP with auxiliary inputs.
- G. Kimsanova, R. İsmailova, R. O. Sultanov. Comparative analysis of integer factorization algorithms. MANAS Journal of Engineering, 2015.Implementation timing comparison of rho, Fermat, Brent factoring; low novelty.
- P. Kirchner, P. Fouque. An Improved BKW Algorithm for LWE with Applications to Cryptography and Lattices. CRYPTO 2015, 2015.Quantized BKW for LWE; solves n=128 binary-secret instance in half a day.
- M. Kosters, S. L. Yeo. Notes on summation polynomials. arXiv, 2015.NP-completeness of summation polynomials and low first fall degree for index calculus.
- S. Kousidis, A. Wiemers. On the First Fall Degree of Summation Polynomials. Journal of Mathematical Cryptology, 2019.Improved first fall degree bound for Weil-descent summation polynomial systems for ECDLP.
- T. Laarhoven, B. d. Weger. Faster sieving for shortest lattice vectors using spherical locality-sensitive hashing. LATINCRYPT 2015, 2015.Spherical LSH sieving solves SVP in 2^0.298n.
- K. Laine, K. Lauter. Key Recovery for LWE in Polynomial Time. Cryptology ePrint Archive, Paper 2015/176, 2015.Polynomial-time LLL/Babai key recovery for LWE with exponentially large modulus.
- N. Lal, A. P. Singh, S. Kumar. Modified Trial Division Algorithm Using KNJ-Factorization Method To Factorize RSA Public Key Encryption. CoRR, 2015.Title: modified trial-division factoring method for RSA moduli; low-impact algorithm.
- S. Lee. Multiple Parallel-Pollard's Rho Discrete Logarithm Algorithm. Journal of the Korea Society of Computer and Information, 2015.Modified Pollard rho for prime-field DLP; weak venue.
- C. Löndahl, T. Johansson, M. K. Shooshtari, M. Ahmadian-Attari, M. R. Aref. Squaring attacks on McEliece public-key cryptosystems using quasi-cyclic codes of even dimension. Designs, Codes and Cryptography, 2015.Squaring attack exploiting even-dimension QC structure in McEliece variants.
- A. Mariano, T. Laarhoven, C. Bischof. Parallel (probable) lock-free HashSieve: a practical sieving algorithm for the SVP. 2015 44th International Conference on Parallel Processing, 2015.Parallel HashSieve implementation; solves SVP dim 96 on 16 cores.
- A. May, I. Ozerov. On Computing Nearest Neighbors with Applications to Decoding of Binary Linear Codes. EUROCRYPT 2015, 2015.May-Ozerov nearest-neighbor ISD for decoding binary linear codes.
- I. Márquez-Corbella, A. Couvreur, R. Pellikaan. Structural Cryptanalysis of McEliece Schemes with Algebraic Geometry codes. IEEE Transactions on Information Theory, 2017.Title only: structural key recovery on McEliece with algebraic geometry codes.
- D. Micciancio, M. Walter. Practical, Predictable Lattice Basis Reduction. EUROCRYPT 2016, 2016.Practical predictable lattice reduction and dual SVP algorithm.
- A. Miele. On the Analysis of Public-Key Cryptologic Algorithms. EPFL, Switzerland, 2015.Thesis: GPU NFS relation collection and practical (H)ECDLP solving analysis.
- S. Miyoshi, Y. Nogami, T. Kusaka, N. Yamai. Solving 94-Bit Ecdlp With 70 Computers In Parallel. World Academy of Science, Engineering and Technology, International Journal of Computer, Electrical, Automation, Control and Information Engineering, 2015.Solved 94-bit ECDLP on BN curve with parallel rho, 71 PCs, 28 hours.
- K. Nagao. Bit Coincidence Mining Algorithm. Cryptology ePrint Archive, Paper 2015/986, 2015.Claimed ECDLP reduction to quadratic systems with subexponential XL cost.
- K. Nagao. Complexity of ECDLP under the First Fall Degree Assumption. Cryptology ePrint Archive, Paper 2015/984, 2015.ECDLP complexity under first fall degree assumption via summation polynomials.
- A. A. Neamah. New Collisions to Improve Pollard's Rho Method of Solving the Discrete Logarithm Problem on Elliptic Curves. J. Comput. Sci., 2015.New collision types to improve Pollard rho for ECDLP.
- A. Nitaj, T. Rachidi. Factoring RSA moduli with weak prime factors. C2SI 2015, 2015.Polynomial-time factoring of RSA moduli with weak prime factors.
- A. Nitaj, T. Rachidi. New attacks on RSA with Moduli \(N=p^rq\). C2SI 2015, 2015.Coppersmith-type factoring attacks on prime-power RSA N=p^r q.
- S. Okumura, S. Sugiyama, M. Yasuda, T. Takagi. Security Analysis of Cryptosystems Using Short Generators over Ideal Lattices. Cryptology ePrint Archive, Paper 2015/1004, 2015.Explicit L-function bounds extend short-generator recovery analysis in cyclotomic fields.
- A. Omar, K. Omar. Factoring multi power RSA moduli with a class of secret exponents. Acta Universitatis Sapientiae, Informatica, 2015.Factoring multi-power RSA moduli for a class of secret exponents; title only.
- L. Peng, L. Hu, Y. Lu, Z. Huang, J. Xu. Implicit Factorization of RSA Moduli Revisited (Short Paper). IWSEC 2015, 2015.Implicit factorization of RSA moduli with shared bits, lattice-based.
- L. Peng, L. Hu, Z. Huang, J. Xu. Partial Prime Factor Exposure Attacks on RSA and Its Takagi's Variant. ISPEC 2015, 2015.Partial prime factor exposure lattice attacks on RSA and Takagi RSA.
- C. Pierrot. The Multiple Number Field Sieve with Conjugation and Generalized Joux-Lercier Methods. EUROCRYPT 2015, 2015.MNFS with conjugation/generalized Joux-Lercier for medium-characteristic DLP.Same work as eprint:2014-641; counted there, weight 0 here.
- D. Pintjuk. Boosting SAT-solver Performance on FACT Instances with Automatic Parameter Tuning. Institutional repository, 2015.Tuning SAT solvers for factoring instances; weak attack-oriented study.
- T. Plantard, W. Susilo, Z. Zhang. LLL for ideal lattices: re-evaluation of the security of Gentry-Halevi's FHE scheme. Designs, Codes and Cryptography, 2014.LLL behaviour on ideal lattices; re-evaluates Gentry-Halevi FHE security.
- O. Robinson. A new implementation of the elliptic curve method of integer factorization using Edwards and Hessian curves. Arrow@dit (Dublin Institute of Technology), 2015.New ECM implementation with Edwards/Hessian curve families.
- R. Santosh, N. Challa, P. Shetty. Short secret exponent attack on LSBS-RSA. Int. Arab J. Inf. Technol., 2015.Lattice short secret exponent attack on LSBS-RSA reaching Boneh-Durfee bound.
- P. Sarkar, S. Singh. New Complexity Trade-Offs for the (Multiple) Number Field Sieve Algorithm in Non-Prime Fields. EUROCRYPT 2016, 2016.New NFS/MNFS polynomial selection for non-prime fields.
- S. Sarnaik, R. Bhakkad, C. G. Desai. Comparative study on Integer Factorization algorithm-Pollard's RHO and Pollard's P-1. International Conference on Computing for Sustainable Global Development, 2015.Comparative implementation of Pollard rho and p-1 factoring; weak contribution.
- I. Semaev. New algorithm for the discrete logarithm problem on elliptic curves. Cryptology ePrint Archive, Paper 2015/310, 2015.Summation-polynomial ECDLP algorithm for binary curves.
- B. Sengupta, A. Das. Use of SIMD-Based Data Parallelism to Speed up Sieving in Integer-Factoring Algorithms. Applied Mathematics and Computation, 2017.SIMD speedups to NFS and MPQS sieving.
- M. Shantz. The Number Field Sieve for Barreto-Naehrig Curves: Smoothness of Norms. Institutional repository, 2015.Joux-Pierrot NFS parameters and norm smoothness analysis for BN/MNT pairing fields.
- S. Shin, K. Kobara, H. Imai. On Finding Secure Domain Parameters Resistant to Cheon's Algorithm. IEICE Transactions, 2015.Domain parameter selection resisting Cheon's auxiliary-input DLP algorithm; title only.
- M. K. Shooshtari, M. Ahmadian-Attari, T. Johansson, M. R. Aref. Cryptanalysis of McEliece cryptosystem variants based on quasi-cyclic low-density parity check codes. IET Information Security, 2016.Structural/low-weight-error attack lowering security of QC-LDPC McEliece.
- A. Silverberg, H. W. Lenstra. Using Mathematics to Make Computing on Encrypted Data Secure and Practical. 2015.Report on algorithms for lattices with symmetry relevant to ideal-lattice attacks.
- K. Somsuk. Decreasing Size of Parameter for Computing Greatest Common Divisor to Speed up New Factorization Algorithm Based on Pollard Rho. Information Science and Applications, 2015.Speeding up a Pollard-rho-based factoring algorithm; title only.
- R. Tanburn, E. Okada, N. Dattani. Reducing multi-qubit interactions in adiabatic quantum computation without adding auxiliary qubits. Part 1: The ''deduc-reduc'' method and its application to quantum factorization of numbers. arXiv, 2015.Reduces Hamiltonian interactions for adiabatic quantum factoring; quantum resource reduction.
- S. Tian, W. Yu, B. Li, K. Wang. Models of Curves from GHS Attack in Odd Characteristic. ISPEC 2015, 2015.Curve models from GHS Weil descent in odd characteristic.
- N. M. V. On the complexity of discrete logarithm problem in an interval in a finite cyclic group with efficient inversion. Prikladnaya Diskretnaya Matematika, 2015.Improved analysis of interval DLP algorithm with fast inversion.
- L. Valenta, S. Cohney, A. Liao, J. Fried, S. Bodduluri, N. Heninger. Factoring as a Service. Financial Cryptography and Data Security 2016, 2016.Optimized NFS on EC2 factoring 512-bit RSA in hours; deployed-key survey.
- M. Wang, M. Liu. Improved Information Set Decoding for Code-Based Cryptosystems with Constrained Memory. FAW, 2015.Improved information set decoding under memory constraints.
- Q. Wang, H. Zang, X. Fan, Y. Wang. Space Complexity Analysis of Sieving in the Number Field Sieve Integer Factorization. Proceedings of the 4th International Conference on Mechatronics, Materials, Chemistry and Computer Engineering 2015, 2015.Space complexity analysis of NFS sieving step.
- W. Wei, M. Liu, X. Wang. Finding Shortest Lattice Vectors in the Presence of Gaps. CT-RSA 2015, 2015.SVP algorithm exploiting gaps in successive minima.Same work as eprint:2011-139; counted there, weight 0 here.
- E. Wenger, P. Wolfger. Harder, Better, Faster, Stronger - Elliptic Curve Discrete Logarithm Computations on FPGAs. Journal of Cryptographic Engineering, 2016.FPGA Pollard rho solves ECDLP on sect113r1.
- Wienardo, F. Yuliawan, I. Muchtadi-Alamsyah, B. Rahardjo. Implementation of Pollard Rho attack on elliptic curve cryptography over binary fields. AIP Conference Proceedings, 2015.Implementation of Pollard rho ECDLP attack over binary fields.
- S. Y. Yan. Quantum Algorithms for Integer Factorization. Quantum Computational Number Theory, 2015.Book chapter on quantum factoring algorithms; title only.
- S. Y. Yan. Quantum Computing for Discrete Logarithms. Quantum Computational Number Theory, 2015.Book chapter on quantum algorithms for discrete logarithms.
- S. Y. Yan. Quantum Computing for Elliptic Curve Discrete Logarithms. Quantum Computational Number Theory, 2015.Book chapter on quantum algorithms for ECDLP; title only.
- H. Yu, G. Bai. An efficient method for integer factorization. 2015 IEEE International Symposium on Circuits and Systems (ISCAS), 2015.FPGA cofactorization module for GNFS sieving; speed-oriented factoring implementation.
- H. Yu, G. Bai. Strategy of Relations Collection in Factoring RSA Modulus. ICICS 2015, 2015.Relation collection strategy for NFS factoring of RSA moduli.
- A. Yun. Generic Hardness of the Multiple Discrete Logarithm Problem. EUROCRYPT 2015, 2015.Tight generic lower bound for multiple discrete logarithm problem.
- R. Zeitoun. Méthodes algébriques pour l'analyse de sécurité des implantations d'algorithmes cryptographiques. Pierre and Marie Curie University, Paris, France, 2015.Thesis: Coppersmith factoring of p^r q^s and Coppersmith speedups; part physical attack.
- M. Zheng, N. Kunihiro, H. Hu. Improved Factoring Attacks on Multi-Prime RSA with Small Prime Difference. ACISP 2017, 2017.Coppersmith lattice factoring attacks on multi-prime RSA with small prime difference.
- J. Zhuang, Q. Cheng. On Generating Coset Representatives of PGL 2 (F q ) in PGL 2 (F q 2 ). Inscrypt 2015, 2015.Optimal coset-representative generation, a subroutine for small-characteristic DL algorithms.
- P. K. Ørke. Improving on the Number Field Sieve. 53, 2015.Thesis on NFS methods for factoring and finite-field discrete logs.
- В. М. Місько. Acceleration of Fermat's factorization method by decimation method with use of several bases. Ukrainian Scientific Journal of Information Security, 2015.Accelerating Fermat factorization by sieving on multiple bases.
- 隆. 細萱. Analysis on Elliptic Curves Subjected to GHS Attack over Prime Degree Extensions of Finite Fields with Odd Characteristic. Institutional repository, 2015.Curves vulnerable to GHS Weil descent over odd-characteristic extensions.
- 筠. 黄, Y. Huang. Efficient Algorithms to Solve the Elliptic Curve Discrete Logarithm Problem over Finite Fields of Characteristic Two. Institutional Repositories DataBase (IRDB), 2015.Summation-polynomial solving for binary-field ECDLP.
2014126 items2014.bib
- A. Abramov, E. A. Krouk. Generalized supercodes decoding. 2014 XIV International Symposium on Problems of Redundancy in Information and Control Systems, 2014.Generalized supercode decoding algorithm for random linear codes.
- G. Adj, A. Menezes, T. C. d. A. Oliveira, F. Rodríguez‐Henríquez. COMPUTING DISCRETE LOGARITHMS IN F36·137 USING MAGMA. ACM Commun. Comput. Algebra, 2015.DL computation in 1303-bit F_3^6*137 with Joux's algorithm in Magma.
- G. Adj, A. Menezes, T. Oliveira, F. Rodríguez-Henríquez. Computing Discrete Logarithms in F_3^6*137 and F_3^6*163 using Magma. ACM Commun. Comput. Algebra, 2015.Joux L(1/4) discrete logs in 1303- and 1551-bit characteristic-3 fields.Same work as openalex:W2188723450; counted there, weight 0 here.
- G. Adj, A. Menezes, T. C. d. A. Oliveira, F. Rodríguez‐Henríquez. Weakness of \(\mathbb{F}_{3^{6 \cdot 509}}\) for Discrete Logarithm Cryptography. Pairing 2013, 2013.Concrete cost estimate of DL in F_3^6*509 with new small-char algorithms.
- D. Aggarwal, D. Dadush, O. Regev, N. Stephens-Davidowitz. Solving the Shortest Vector Problem in \(2^n\) Time via Discrete Gaussian Sampling. CoRR, 2014.2^n-time SVP algorithm via discrete Gaussian sampling.
- M. R. Albrecht, C. Cid, J. Faugère, L. Perret. Algebraic Algorithms for LWE. ACM Commun. Comput. Algebra, 2015.Refined Arora-Ge and Groebner basis algorithms for LWE and BinaryError-LWE.Same work as dblp:journals-cca-AlbrechtCFFP15; counted there, weight 0 here.
- M. R. Albrecht, C. Cid, J. Faugère, R. Fitzpatrick, L. Perret. Algebraic algorithms for LWE problems. ACM Commun. Comput. Algebra, 2015.Arora-Ge and Groebner basis algebraic algorithms for LWE complexity.
- M. R. Albrecht, J. Faugère, R. Fitzpatrick, L. Perret. Lazy Modulus Switching for the BKW Algorithm on LWE. PKC 2014, 2014.BKW with lazy modulus switching for small-secret LWE.
- Y. Aono. A faster method for computing Gama-Nguyen-Regev's extreme pruning coefficients. CoRR, 2014.Faster computation of extreme pruning coefficients for enumeration.
- S. Bai, S. D. Galbraith⋆, L. Li, D. Sheffield. Improved Exponential-time Algorithms for Inhomogeneous-SIS. IACR Cryptology ePrint Archive, 2014.Improved exponential algorithms for inhomogeneous SIS and Ring-SIS.
- R. Barbulescu, P. Gaudry, A. Joux, E. Thomé. A Heuristic Quasi-Polynomial Algorithm for Discrete Logarithm in Finite Fields of Small Characteristic. EUROCRYPT 2014, 2014.Heuristic quasi-polynomial DLP algorithm in small characteristic.Same work as eprint:2013-400; counted there, weight 0 here.
- R. Barbulescu, P. Gaudry, A. Guillevic, F. Morain. Improvements to the number field sieve for non-prime finite fields. CoRR, 2014.NFS improvements for DLP in non-prime fields; new medium-characteristic complexity.
- R. Barbulescu, A. Lachand. Some mathematical remarks on the polynomial selection in NFS. Mathematics of Computation, 2016.Smoothness results guiding NFS polynomial selection.
- R. Barbulescu, C. Pierrot. The Multiple Number Field Sieve for Medium and High Characteristic > Finite Fields. LMS Journal of Computation and Mathematics, 2014.Multiple NFS lowers asymptotic DLP complexity in medium/high characteristic.
- A. Becker, N. Gama, A. Joux. A sieve algorithm based on overlattices. LMS Journal of Computation and Mathematics, 2014.Overlattice sieve for SVP/CVP with improved time-memory.
- D. J. Bernstein, T. Lange. Batch NFS. Selected Areas in Cryptography (SAC) 2014, 2014.Batch NFS circuit lowers per-key area-time cost of factoring many RSA keys.
- J. Bi, J. Coron, J. Faugère, P. Q. Nguyen, G. Renault, R. Zeitoun. Rounding and Chaining LLL: Finding Faster Small Roots of Univariate Polynomial Congruences. PKC 2014, 2014.Rounding and chained LLL give large speedups of Coppersmith small-root method.Same work as eprint:2013-512; counted there, weight 0 here.
- J. Biasse, C. Fieker. Subexponential class group and unit group computation in large degree number fields. LMS Journal of Computation and Mathematics, 2014.Subexponential class/unit group computation, key subroutine for principal-ideal lattice attacks.
- J. Biasse. Subexponential time relations in the class group of large degree number fields. Advances in Mathematics of Communications, 2014.Subexponential class-group relation search in large-degree fields; underpins principal ideal attacks.
- S. R. Blackburn, S. Scott. The discrete logarithm problem for exponents of bounded height. LMS Journal of Computation and Mathematics, 2014.Low-memory generic algorithm for bounded-height DLP.
- J. W. Bos, M. Naehrig, J. v. d. Pol. Sieving for Shortest Vectors in Ideal Lattices: a Practical Perspective. Int. J. Appl. Cryptogr., 2017.Parallel Gauss sieve with ideal-lattice speedups; dim-128 ideal SVP record.
- S. S. Carita. Algoritma Pollard Rho untuk Kurva Eliptik atas GF(2^n) dengan Pemetaan Negasi, Pemetaan Frobenius, dan Basis Normal. 2014.Pollard rho with negation/Frobenius maps for binary-field curves; student thesis.
- J. H. Cheon, T. Kim, Y. Song. A Group Action on \(\)\mathbb Z_p^\times \(\) and the Generalized DLP with Auxiliary Inputs. Selected Areas in Cryptography (SAC) 2013, 2013.Algorithm for generalized DLP with auxiliary inputs via group action on Z_p^*.
- F. J. G. Correia. Assessing the Hardness of SVP Algorithms on Multi-core CPUs. 2014.Thesis on SVP algorithm performance on multicore CPUs; title only.
- F. J. G. Correia. Assessing the hardness of SVP algorithms in the presence of CPUs and GPUs. Portuguese National Funding Agency for Science, Research and Technology (RCAAP Project by FCT), 2014.Thesis optimizing and parallelizing SVP solvers on CPUs/GPUs.
- A. Couvreur, I. Márquez-Corbella, R. Pellikaan. A Polynomial Time Attack against Algebraic Geometry Code Based Public Key Cryptosystems. IEEE ISIT 2014, 2014.Polynomial-time structural attack on McEliece with algebraic geometry codes.
- A. Couvreur, I. Márquez-Corbella, R. Pellikaan. Cryptanalysis of Public-Key Cryptosystems That Use Subcodes of Algebraic Geometry Codes. ICMCTA, 2014.Polynomial-time Schur-product structural attack on McEliece with AG subcodes.
- A. Couvreur, A. Otmani, J. Tillich. Polynomial Time Attack on Wild McEliece Over Quadratic Extensions. EUROCRYPT 2014, 2014.Polynomial-time structural attack on wild Goppa McEliece over quadratic extensions.
- N. Coxon. Montgomery's method of polynomial selection for the number field sieve. CoRR, 2014.Montgomery's polynomial selection method for NFS.
- D. Dadush, O. Regev, N. Stephens-Davidowitz. On the Closest Vector Problem with a Distance Guarantee. Computational Complexity Conference 2014, 2014.Improved approximate CVPP algorithm and reductions to BDD with preprocessing.
- D. Dadush, N. Bonifas. Short Paths on the Voronoi Graph and Closest Vector Problem with Preprocessing. SODA 2014, 2014.2^n expected-time CVPP via Voronoi graph short paths.
- T. Daniels, D. Smith-Tone. Differential Properties of the HFE Cryptosystem. PQCrypto 2014, 2014.Differential symmetry/invariant structure of HFE; parameters provably resisting differential attacks.
- S. S. Daoud, I. Gad. A parallel line sieve for the GNFS Algorithm. International Journal of Advanced Computer Science and Applications, 2014.Parallel GNFS line sieve implementation with speedup measurements.
- J. Detrey. FFS Factory: Adapting Coppersmith's "Factorization Factory" to the Function Field Sieve. Cryptology ePrint Archive, Paper 2014/419, 2014.FFS factory precomputation; solved fifty 601-699-bit binary-field DLPs.
- D. Ding, G. Zhu, Y. Yu, Z. Zheng. A Fast Phase-Based Enumeration Algorithm for SVP Challenge through y-Sparse Representations of Short Lattice Vectors. ICISC 2014, 2014.Phase-based enumeration algorithm for SVP challenge lattices.Same work as dblp:conf-icisc-DingZYZ14; counted there, weight 0 here.
- D. Ding, G. Zhu, Y. Yu, Z. Zheng. A Fast Phase-based Enumeration Algorithm for SVP Challenge Through y y -Sparse Representations of Short Lattice Vectors. ICISC 2014, 2014.Phase-based enumeration algorithm for SVP challenge lattices.
- D. Ding, G. Zhu, X. Wang. A Genetic Algorithm for Searching Shortest Lattice Vector of SVP Challenge. GECCO, 2015.Genetic algorithm for SVP benchmarked on SVP challenge.
- D. Ding, G. Zhu. A Random Sampling Algorithm for SVP Challenge Based on y-Sparse Representations of Short Lattice Vectors. 2014 Tenth International Conference on Computational Intelligence and Security, 2014.Random sampling SVP algorithm benchmarked on SVP challenge.
- D. Ding, G. Zhu. A Simulated Annealing Algorithm for SVP Challenge Through y-Sparse Representations of Short Lattice Vectors. INTRUST, 2014.Simulated annealing SVP algorithm evaluated on SVP challenge; title only.
- K. Eisentraeger, S. Hallgren, K. Lauter. Weak Instances of PLWE. Selected Areas in Cryptography (SAC) 2014, 2014.Attack on PLWE for specially chosen number fields; ring-structure weakness.
- K. Eisenträger, S. Hallgren, A. Y. Kitaev, F. Song. A quantum algorithm for computing the unit group of an arbitrary degree number field. STOC 2014, 2014.Quantum unit group algorithm underpinning principal-ideal attacks on ideal lattices.
- D. Epelbaum. On Quantum Sieve Approaches to the Lattice Shortest Vector Problem. 2014.Quantum sieve approaches to lattice SVP.
- S. Ezzouak, M. E. Amrani, A. Azizi. A variant of Pollard's rho Attack on Elliptic Curve Cryptosystems. J. Comput. Sci., 2014.Pollard rho variants with stack cycle detection for ECDLP.
- J. Faugere, D. Gligoroski, L. Perret, S. Samardjiska, E. Thomae. A Polynomial-Time Key-Recovery Attack on MQQ Cryptosystems. PKC 2015, 2015.Polynomial-time MinRank-based key recovery on MQQ-SIG and MQQ-ENC.
- J. Faugère, L. Perret, F. d. Portzamparc. Algebraic Attack against Variants of McEliece with Goppa Polynomial of a Special Form. ASIACRYPT 2014, 2014.Algebraic key recovery on McEliece variants with special-form Goppa polynomials.
- J. Faugère, A. Otmani, L. Perret, F. d. Portzamparc, J. Tillich. Folding Alternant and Goppa Codes with Non-Trivial Automorphism Groups. IEEE Transactions on Information Theory, 2016.Folding reduces key recovery of QC/QD Goppa codes to smaller codes.
- J. Faugère, A. Otmani, L. Perret, F. d. Portzamparc, J. Tillich. Structural Cryptanalysis of McEliece Schemes with Compact Keys. Designs, Codes and Cryptography, 2016.Folding structural key recovery against QD/QM compact McEliece.
- J. Faugère, A. Otmani, L. Perret, F. d. Portzamparc, J. Tillich. Structural weakness of compact variants of the McEliece cryptosystem. IEEE ISIT 2014, 2014.Structural key recovery on compact quasi-cyclic/dyadic McEliece variants.
- J. Faugère, L. Huot, A. Joux, G. Renault, V. Vitse. Symmetrized Summation Polynomials: Using Small Order Torsion Points to Speed Up Elliptic Curve Index Calculus. EUROCRYPT 2014, 2014.Symmetrized summation polynomials speeding EC index calculus.
- R. Fitzpatrick, C. Bischof, J. Buchmann, O. Dagdelen, F. Gopfert, A. Mariano et al. Tuning GaussSieve for Speed. LATINCRYPT 2014, 2014.Heuristic speedups to GaussSieve for SVP.
- P. Fouque, A. Joux, C. Mavromati. Multi-user Collisions: Applications to Discrete Logarithm, Even-Mansour and PRINCE. ASIACRYPT 2014, 2014.Multi-user collision search improving generic multi-key discrete log attacks.
- S. D. Galbraith, S. W. Gebregiyorgis. Summation polynomial algorithms for elliptic curves in characteristic two. INDOCRYPT 2014, 2014.Summation polynomial index calculus for binary curves.
- E. Gorla, M. Massierer. Index calculus in the trace zero variety. Advances in Mathematics of Communications, 2015.Gaudry index calculus for DLP in trace zero varieties.
- R. Granger, T. Kleinjung, J. Zumbrägel. Breaking `128-bit Secure' Supersingular Binary Curves (or how to solve discrete logarithms in \({\mathbb F}_{2^{4 \cdot 1223}}\) and \({\mathbb F}_{2^{12 \cdot 367}}\)). Cryptology ePrint Archive, Paper 2014/119, 2014.New descent for small-char FFDLP; total break of 128-bit genus-2 pairing field.
- R. Granger, T. Kleinjung, J. Zumbrägel. On the Powers of 2. Cryptology ePrint Archive, Paper 2014/300, 2014.Alternative quasi-polynomial descent for small-characteristic DLP via degree-two elimination.
- Q. Guo, T. Johansson, C. Löndahl. A New Algorithm for Solving Ring-LPN With a Reducible Polynomial. IEEE Transactions on Information Theory, 2015.New Ring-LPN algorithm for reducible polynomials; breaks Lapin instance.
- Q. Guo, T. Johansson, C. Löndahl. Solving LPN Using Covering Codes. ASIACRYPT 2014, 2014.Covering-code algorithm for LPN.
- M. M. Haque, J. Pieprzyk. Evaluating the performance of the practical lattice reduction algorithms. 8th International Conference on Electrical and Computer Engineering, 2014.Experimental limits of BKZ variants, SWIFFT attack, lattice challenges.
- M. M. Haque, J. Pieprzyk, A. Asaduzzaman. Predicting tours and probabilistic simulation for BKZ lattice reduction algorithm. 2014 9th International Forum on Strategic Technology (IFOST), 2014.BKZ tour prediction and probabilistic simulation; SWIFFT sublattice experiments.
- Y. Hashimoto. Cryptanalysis of the Multivariate Signature Scheme Proposed in PQCrypto 2013. PQCrypto 2014, 2014.Polynomial-time key recovery on YTS multivariate signature.
- S. Heyse, R. Zimmermann, C. Paar. Attacking Code-Based Cryptosystems with Information Set Decoding Using Special-Purpose Hardware. PQCrypto 2014, 2014.Special-purpose hardware for ISD attacks on code-based schemes.
- T. J. Hodges, C. Petit, J. Schlather. First fall degree and Weil descent. Finite Fields and Their Applications, 2014.First fall degree bounds for Weil-descent systems; complexity of algebraic attacks on HFE and ECDLP index calculus.
- S. Ionica, M. Izabachène. Weak instances of composite order protocols. IACR Cryptology ePrint Archive, 2014.Factors composite-order pairing modulus using leaked CM discriminant root.
- T. Ishiguro, S. Kiyomoto, Y. Miyake, T. Takagi. Parallel Gauss Sieve Algorithm: Solving the SVP Challenge over a 128-Dimensional Ideal Lattice. PKC 2014, 2014.Parallel Gauss sieve solves 128-dim Ideal Lattice SVP Challenge, 30k CPU hours.Same work as eprint:2013-388; counted there, weight 0 here.
- H. Jeljeli. Resolution of Linear Algebra for the Discrete Logarithm Problem Using GPU and Multi-core Architectures. Euro-Par, 2014.GPU/multicore block Wiedemann for index-calculus DLP; contributed to GF(2^809) record.
- A. Joux, C. Pierrot. Improving the Polynomial time Precomputation of Frobenius Representation Discrete Logarithm Algorithms - Simplified Setting for Small Characteristic Finite Fields. ASIACRYPT 2014, 2014.Improved precomputation for small-characteristic finite-field DLP.
- A. Joux, C. Pierrot. The Special Number Field Sieve in \(\mathbb{F}_{p^{n}}\). Pairing 2014, 2014.Special number field sieve for DLP in F_p^n.
- T. Kijko, M. Wroński. COMPARISON OF ALGORITHMS FOR FACTORIZATION OF LARGE NUMBERS HAVING SEVERAL DISTINCT PRIME FACTORS. National Security Studies, 2014.ECM/GNFS cost estimates bounding prime count for multi-prime RSA.
- M. Kim, J. H. Cheon, I. Lee. Analysis on a generalized algorithm for the strong discrete logarithm problem with auxiliary inputs. Mathematics of Computation, 2014.Shows generalized auxiliary-input DLP algorithm generally no better than Pollard rho.
- T. Kleinjung, J. W. Bos, A. K. Lenstra. Mersenne factorization factory. ASIACRYPT 2014, 2014.SNFS factorization factory fully factoring seventeen Mersenne numbers.
- D. Kohel, K. Lauter, C. Petit, J. Tignol. On the quaternion \(\ell\)-isogeny path problem. LMS Journal of Computation and Mathematics, 2014.KLPT algorithm solving quaternion l-isogeny path problem; CGL hash implications.Same work as dblp:journals-lmsjcm-KohelL0T14; counted there, weight 0 here.
- D. Kohel, K. E. Lauter, C. Petit, J. Tignol. On the quaternion -isogeny path problem. LMS Journal of Computation and Mathematics, 2014.KLPT quaternion l-isogeny path algorithm; breaks quaternion CGL hash analog.
- Y. Kono, Y. Nogami, T. Kusaka. Experimental evaluation of the efficiency of associative rational points for random walks on ECDLP. 2014 14th International Symposium on Communications and Information Technologies (ISCIT), 2014.Accelerated Pollard rho random walk on BN curves.
- P. Kuo, C. Cheng. Lattice-based cryptanalysis - How to estimate the security parameter of lattice-based cryptosystem. 2014 IEEE International Conference on Consumer Electronics - Taiwan, 2014.GPU enumeration and sieving for SVP to estimate lattice security.
- N. G. Kuzmina, E. B. Makhovenko. Analysis of hidden field equations cryptosystem over odd-characteristic fields. BSU Digital Library (Belarusian State University), 2014.Attack analysis and parameter recommendations for odd-characteristic HFE.
- T. Laarhoven, M. Mosca, J. v. d. Pol. Finding shortest lattice vectors faster using quantum search. Designs, Codes and Cryptography, 2015.Quantum search speedups for sieving SVP algorithms.
- T. Laarhoven. Sieving for shortest vectors in lattices using angular locality-sensitive hashing. CRYPTO 2015, 2015.Angular LSH sieving improves heuristic SVP time complexity.
- K. Laine, K. Lauter. Time-Memory Trade-offs for Index Calculus in Genus 3. Journal of Mathematical Cryptology, 2015.Time-memory trade-offs for Diem index calculus on genus-3 curve Jacobians.
- M. Laporta, A. Pizzirani. A new iterating function in the Pollard rho method for discrete logarithms. Applied Mathematical Sciences, 2014.New Pollard rho iterating function for DLP; title only.
- S. Lee. A 2kβ Algorithm for Euler function 𝜙(n) Decryption of RSA. Journal of the Korea Society of Computer and Information, 2014.Algorithm computing phi(n) directly for RSA moduli; low-impact factoring attempt.
- H. W. Lenstra, A. Silverberg. Revisiting the Gentry-Szydlo Algorithm. CRYPTO 2014, 2014.Provable polytime Gentry-Szydlo-type algorithm for lattices with symmetry; core structured-lattice cryptanalytic tool.
- J. Li, P. Q. Nguyen. Approximating the densest sublattice from Rankin's inequality. LMS Journal of Computation and Mathematics, 2014.Generalized Gama-Nguyen algorithm approximating densest sublattice.
- X. Liu, X. Fang, Z. Wang, X. Xie. A new parallel lattice reduction algorithm for BKZ reduced bases. Sci. China Inf. Sci., 2014.New parallel lattice reduction algorithm for BKZ-reduced bases.
- Y. Lu, R. Zhang, L. Peng, D. Lin. Solving Linear Equations Modulo Unknown Divisors: Revisited. ASIACRYPT 2015, 2015.Coppersmith-style modular equation solving improving attacks on RSA variants.
- A. Mariano, O. Dagdelen, C. Bischof. A comprehensive empirical comparison of parallel ListSieve and GaussSieve. Euro-Par Workshops (1), 2014.Parallel ListSieve implementation and empirical comparison with GaussSieve for SVP.
- A. Mariano, S. Timnat, C. Bischof. Lock-free GaussSieve for Linear Speedups in Parallel High Performance SVP Calculation. SBAC-PAD, 2014.Lock-free parallel GaussSieve implementation for faster SVP solving.
- M. Massierer. Some experiments investigating a possible L(1/4) algorithm for the discrete logarithm problem in algebraic curves. Cryptology ePrint Archive, Paper 2014/996, 2014.Investigates L(1/4) index calculus ideas for DLP in Jacobians of curves.
- A. May, I. Ozerov. A Generic Algorithm for Small Weight Discrete Logarithms in Composite Groups. Selected Areas in Cryptography (SAC) 2014, 2014.Generic algorithm for small-weight discrete logarithms in composite-order groups.
- D. Micciancio, M. Walter. Fast Lattice Point Enumeration with Minimal Overhead. SODA 2014, 2014.Lattice enumeration algorithms with low overhead and good asymptotics.
- A. Miele, J. W. Bos, T. Kleinjung, A. K. Lenstra. Cofactorization on Graphics Processing Units. CHES / TCHES 2014, 2014.GPU cofactorization for NFS relation collection speedup.
- M. Mishraa, U. Chaturvedib, K. Shukla. A New Heuristic Algorithm Based on Molecular Geometry Optimization and Its Application to the Integer Factorization Problem. 2014 International Conference on Soft Computing and Machine Intelligence, 2014.Heuristic optimization approach to factoring; not scalable but genuine attempt.
- I. Muchtadi-Alamsyah, B. Rahardjo, M. W. Paryasto. Accelerating Parallelized Pollard Rho to Identify Weak Class Elliptic Curves. 旭硝子財団助成研究成果報告, 2014.Title: accelerating parallel Pollard rho for ECDLP to identify weak curves.
- A. Nitaj, M. O. Douh. A new attack on RSA with a composed decryption exponent. Cryptology ePrint Archive, Paper 2014/035, 2014.Lattice attack factoring RSA when d has structured form beyond Boneh-Durfee bound.
- A. Nitaj, M. R. K. Ariffin. Implicit factorization of unbalanced RSA moduli. Cryptology ePrint Archive, Paper 2014/548, 2014.Implicit factorization of RSA moduli with shared bits via lattices; factoring-class structure.
- A. Nitaj, M. R. K. Ariffin, D. I. Nassr, H. M. Bahig. New Attacks on the RSA Cryptosystem. AFRICACRYPT 2014, 2014.Lattice attacks factoring RSA moduli with small key relations or shared bits.
- Y. Nogami, H. Seo. Discrete Logarithms for Torsion Points on Elliptic Curve of Embedding Degree 1. ICISC 2014, 2014.DLP on torsion points of embedding-degree-1 curves; special-curve structure.
- K. Nuida, N. Itakura, K. Kurosawa. A Simple and Improved Algorithm for Integer Factorization with Implicit Hints. CT-RSA 2015, 2015.Implicit-hint factoring of moduli with shared prime bits; improved bound.
- N. Ojha, S. Padhye. Cryptanalysis of Multi Prime RSA with Secret Key Greater than Public Key. Int. J. Netw. Secur., 2014.Attack on multi-prime RSA with secret exponent larger than public.
- L. Peng, L. Hu, J. Xu, Z. Huang, Y. Xie. Further Improvement of Factoring RSA Moduli with Implicit Hint. AFRICACRYPT 2014, 2014.Improved lattice factoring of RSA moduli sharing bits (implicit hint).
- R. Perlner. Optimizing Information Set Decoding Algorithms to Attack Cyclosymmetric MDPC Codes. PQCrypto 2014, 2014.ISD adapted to exploit cyclosymmetric structure of CS-MDPC codes.
- C. Pierrot. The Multiple Number Field Sieve with Conjugation Method. EUROCRYPT 2015, 2015.Multiple NFS with conjugation for medium-characteristic FFDLP.
- A. Pizzirani. New experiments for cryptanalysis on elliptic curves. University of Naples Federico II, Italy, 2014.GPU Pollard rho with negation map and Smart-attack experiments for ECDLP.
- Z. Qizhi. On the signature calculus for finite fields of order square of prime numbers. Journal of Number Theory, 2014.Signature calculus approach to DLP in F_p^2.
- B. Razvan, B. Cyril, D. Jérémie, G. Pierrick, J. Hamza, T. Emmanuel et al. Discrete logarithm in \(\mathrmGF(2^809)\) with FFS. PKC 2014, 2014.Record DL computation in GF(2^809) with FFS.
- M. Rötteler, R. Steinwandt. A quantum circuit to find discrete logarithms on ordinary binary elliptic curves in depth O(log^2n). Quantum Information & Computation, 2014.Low-depth quantum circuit for ECDLP on binary curves.Same work as dblp:journals-corr-RoettelerS13; counted there, weight 0 here.
- R. Sakai, M. Kasahara. New method for factoring two RSA moduli with implicit hint. ISITA 2014, 2014.Implicit-hint factoring of two RSA moduli (implicit factorization).
- S. Samardjiska, D. Gligoroski. Linearity Measures for MQ Cryptography. Cryptology ePrint Archive, Paper 2014/703, 2014.Linearity-measure framework unifying linear-subspace attacks on MQ schemes.
- S. Samardjiska, D. Gligoroski. Linearity Measures for Multivariate Public Key Cryptography. International Conference on Emerging Security Information, Systems and Technologies, 2014.Linearity-measure framework generalizing linear-subspace attacks on MQ schemes.
- P. Sarkar, S. Singh. Fine Tuning the Function Field Sieve Algorithm for the Medium Prime Case. IEEE Transactions on Information Theory, 2016.Improved medium-prime function field sieve with asymptotic analysis and small DL computations.
- Saruchi, I. Morel, D. Stehlé, G. Villard. LLL reducing with the most significant bits. ISSAC 2014, 2014.Faster LLL using most significant bits; new reduction algorithm.
- K. Somsuk. A new modified integer factorization algorithm using integer modulo 20's technique. 2014 International Computer Science and Engineering Conference (ICSEC), 2014.Modified Fermat factorization variant with mod-20 filtering speedup.
- K. Somsuk, S. Kasemvilas. MFFV3: An Improved Integer Factorization Algorithm to Increase Computation Speed. Advanced Materials Research, 2014.Speed improvement to modified Fermat factorization.
- K. Somsuk. MVFactorV2: An improved integer factorization algorithm to speed up computation time. 2014 International Computer Science and Engineering Conference (ICSEC), 2014.Elementary factoring algorithm speedup (VFactor variant); weak but a factoring algorithm.
- K. Somsuk, S. Kasemvilas. Possible Prime Modified Fermat Factorization: New Improved Integer Factorization to Decrease Computation Time for Breaking RSA. IC2IT, 2014.Modified Fermat factorization variant for RSA moduli (title only).
- V. Srinivas, V. M. C. E. Cubic sieve congruence of the discrete logarithm problem, and fractional part sequences. Journal of Symbolic Computation, 2014.Cubic sieve congruence for index-calculus DLP in prime fields.
- I. Teixido, F. Sebé, J. Conde, F. Solsona. MPI-based implementation of an enhanced algorithm to solve the LPN problem in a memory-constrained environment. Parallel Comput., 2014.Parallel memory-constrained implementation of an enhanced LPN-solving algorithm.
- B. S. Verkhovsky, Y. Polyakov. Binary Division Attack for Elliptic Curve Discrete Logarithm Problem. Transactions on Networks and Communications, 2014.Point-halving binary division attack on ECDLP for special group orders; weak result.
- M. Walter. Lattice Point Enumeration on Block Reduced Bases. ICITS, 2015.Analysis of enumeration cost on block-reduced bases.
- E. Wenger, P. Wolfger. Solving the Discrete Logarithm of a 113-bit Koblitz Curve with an FPGA Cluster. Selected Areas in Cryptography (SAC) 2014, 2014.FPGA cluster rho solves 113-bit Koblitz curve ECDLP.
- L. Xiumei, Z. Jinxiang. On the elliptic curve \(y^2= x^3-2rDx\) and factoring integers. Science China Mathematics, 2014.Factoring via a family of elliptic curves; title only.
- T. Yasuda, K. Sakurai. A security analysis of uniformly-layered rainbow defined over non-commutative rings. Pacific Journal of Mathematics for Industry, 2014.MPKC attack-based security analysis and parameter estimates for extended HS Rainbow variant.
- T. Yasuda, Y. Yamaguchi, X. Dahan, K. Sakurai. Cryptanalysis of a matrix variant of NTRU. IEICE Technical Report, 2014.Cryptanalysis of matrix NTRU variant; title only.
- G. Zhou. On General Number Field Sieve and its Polynomial Selection. Applied Mechanics and Materials, 2014.GNFS polynomial selection analysis and GMP implementation.
- Б. М. Алексеевич, I. V. Chizhov. Effective attack on the McEliece cryptosystem based on Reed-Muller codes. Discrete Mathematics and Applications, 2014.Polynomial structural attack on Reed-Muller-based McEliece variant.
- А. В. Соколов, V. Buryak. Index-calculus algorithm for calculating the discrete logarithms based on index tables. Odes’kyi Politechnichnyi Universytet. Pratsi, 2014.Index-calculus DLP variant using index tables; weak outlet but genuine algorithmic aim.
- 孝. 長尾. Weil descentで得られる曲線の作る方程式系のFirst Fall degreeについて. Finite Fields and Their Applications, 2014.First fall degree of Weil descent systems, complexity of index calculus for curve DLP.
2013100 items2013.bib
- G. Adj, A. Menezes, T. Oliveira, F. Rodríguez-Henríquez. 4·3041 for discrete logarithm cryptography. Finite Fields and Their Applications, 2015.Concrete cost of quasi-polynomial DLP algorithms for pairing target fields; security lowered.
- G. Adj, A. Menezes, T. Oliveira, F. Rodriguez-Henriquez. Weakness of F_3^6*1429 and F_2^4*3041 for Discrete Logarithm Cryptography. Cryptology ePrint Archive, Paper 2013/737, 2013.Concrete descent analysis: small-char pairing fields offer at most 96/129-bit security.
- G. Adj, A. Menezes, T. Oliveira, F. Rodríguez-Henríquez. Weakness of F_3^6*509 for Discrete Logarithm Cryptography. Pairing 2013, 2013.Concrete analysis shows new small-characteristic DLP algorithms weaken F_3^3054 pairing setting.Same work as dblp:journals-ffa-AdjMOR15; counted there, weight 0 here.
- O. Akchiche, O. Khadir. Factoring Cryptosystem Moduli when the Co-Factors Difference is Bounded. International Journal of Information Technology, Modeling and Computing, 2013.Factoring moduli with bounded prime difference; structured RSA factoring.
- M. R. Albrecht, R. Fitzpatrick, F. G. ̈opfert. On the Efficacy of Solving LWE by Reduction to Unique-SVP. ICISC 2013, 2013.Empirical model for solving LWE via uSVP embedding.
- T. Ardiansyah, M. I. Detiena. Algoritma Pollard Rho pada GF(2^n) dengan Pemetaan Frobenius dan Negasi. 2013.Pollard rho speedup on binary-field curves using Frobenius and negation maps.
- S. Bai, S. D. Galbraith. Lattice Decoding Attacks on Binary LWE. ACISP 2014, 2014.Lattice decoding attack on binary-secret LWE with estimates.
- M. Baldi, M. Bianchi, F. Chiaraluce. Security and complexity of the McEliece cryptosystem based on quasi-cyclic low-density parity-check codes. IET Information Security, 2013.Security/attack-complexity analysis of QC-LDPC McEliece; title only.
- R. Barbulescu, P. Gaudry, A. Joux, E. Thomé. A quasi-polynomial algorithm for discrete logarithm in finite fields of small characteristic. EUROCRYPT 2014, 2014.Quasi-polynomial DLP algorithm in small-characteristic finite fields.
- R. Barbulescu. Algorithmes de logarithmes discrets dans les corps finis. University of Lorraine, Nancy, France, 2013.Barbulescu thesis: ECM, NFS/FFS improvements, quasi-polynomial small-char DLP.
- R. Barbulescu. Algorithms for discrete logarithm in finite fields. 2013.Thesis: NFS/FFS improvements, ECM, quasi-polynomial small-characteristic DLP.
- R. Barbulescu, C. Bouvier, J. Detrey, P. Gaudry, H. Jeljeli, E. Thomé et al. Discrete logarithm in GF(2^809) with FFS. PKC 2014, 2014.Record DLP computation in GF(2^809) with FFS.
- R. Barbulescu. Selecting polynomials for the Function Field Sieve. Mathematics of Computation, 2015.Polynomial selection algorithms for the function field sieve.
- A. Becker, N. Gama, A. Joux. Solving shortest and closest vector problems: The decomposition approach. ANTS (Algorithmic Number Theory Symposium) 2014, 2014.Decomposition sieve for SVP and CVP via overlattice towers.
- N. Benger, M. Charlemagne, K. Chen. A note on the practical complexity of the NFS in the medium prime case: Smoothness of Norms. Cryptology ePrint Archive, Paper 2013/147, 2013.Practical NFS medium-prime norm smoothness and polynomial test.
- D. J. Bernstein, P. Birkner, T. Lange, C. Peters. ECM using Edwards curves. Mathematics of Computation, 2012.Faster ECM factoring using Edwards curves.
- J. Bi, P. Q. Nguyen. Rounding LLL: Finding Faster Small Roots of Univariate Polynomial Congruences. PKC 2014, 2014.Polynomial speedup of Coppersmith small-root method via rounding LLL.
- A. Bilal. HFE tabanlı ikinci dereceden çok değişkenli kriptosistemler ve Dembowski Ostrom polinomlar. OpenMETU (Middle East Technical University), 2013.Extends linearised binomial attack, weak DO polynomial classes, HFE attack survey.
- J. W. Bos, C. Costello, A. Miele. Elliptic and Hyperelliptic Curves: a Practical Security Analysis. PKC 2014, 2014.Concrete Pollard rho core-year estimates for P-256, BN and genus-2 curves.
- C. Bouvier. The filtering step of discrete logarithm and integer factorization algorithms. HAL, 2013.Weight functions for NFS/FFS filtering step.
- Y. Chen. Réduction de réseau et sécurité concrète du chiffrement complètement homomorphe. Dissertation (institution not recorded), 2013.Thesis improving BKZ (pruned enumeration, simulator) plus approximate-GCD algorithm.
- Q. Cheng, D. Wan, J. Zhuang. Traps to the BGJT-Algorithm for Discrete Logarithms. LMS Journal of Computation and Mathematics, 2014.Identifies and fixes flawed heuristics in BGJT quasi-polynomial DLP algorithm.
- J. H. Cheon, T. Kim, Y. Song. A Group Action on ℤ p ˟ and the Generalized DLP with Auxiliary Inputs. Selected Areas in Cryptography (SAC) 2013, 2013.Algorithm for generalized DLP with auxiliary inputs.
- J. H. Cheon, T. Kim, Y. S. Song. ˟ and the Generalized DLP with Auxiliary Inputs. Selected Areas in Cryptography (SAC) 2013, 2013.Algorithms for generalized DLP with auxiliary inputs (Cheon-type attacks).
- I. V. Chizhov, M. A. Borodin. The failure of McEliece PKC based on Reed-Muller codes. Cryptology ePrint Archive, Paper 2013/287, 2013.Structural key recovery for McEliece with Reed-Muller codes; n=65536 broken in 7 hours.
- J. Coron, J. Faugère, G. Renault, R. Zeitoun. A Variant of Coppersmith's Algorithm with Improved Complexity and Efficient Exhaustive Search. Cryptology ePrint Archive, Paper 2013/483, 2013.Asymptotically faster Coppersmith small-root algorithm with faster exhaustive search.
- A. Couvreur, P. Gaborit, V. Gauthier-Umaña, A. Otmani, J. Tillich. Distinguisher-based attacks on public-key cryptosystems using Reed-Solomon codes. Designs, Codes and Cryptography, 2014.Square-code distinguisher key recovery on GRS-based McEliece variants.Same work as eprint:2012-168; counted there, weight 0 here.
- H. Daghigh, S. Didari, F. S. Shahpar. Computing elliptic curve discrete logarithm via lifting. Inscrypt 2013, 2013.Lifting/index-calculus approach to ECDLP in rank one.
- P. Dass, H. Sharma, J. C. Bansal, K. E. Nygard. Meta heuristics for prime factorization problem. 2013 World Congress on Nature and Biologically Inspired Computing, 2013.Metaheuristic factoring attempts with negative results; low quality.
- J. Detrey, P. Gaudry, M. Videau. Relation collection for the Function Field Sieve. IEEE ARITH (Symposium on Computer Arithmetic) 2013, 2013.Efficient relation collection implementation for the function field sieve.
- C. Diem. On the discrete logarithm problem in elliptic curves II. Algebra & Number Theory, 2013.Subexponential ECDLP over extension fields (Diem).
- F. Fontein, M. Schneider, U. Wagner. PotLLL: a polynomial time version of LLL with deep insertions. Designs, Codes and Cryptography, 2014.PotLLL: polynomial-time deep-insertion LLL variant.Same work as dblp:journals-corr-abs-1212-5100; counted there, weight 0 here.
- P. Gaborit, O. Ruatta, J. Schrek. On the Complexity of the Rank Syndrome Decoding Problem. IEEE Transactions on Information Theory, 2016.New combinatorial and algebraic attacks on rank syndrome decoding.
- M. Gotaishi, S. Tsujii. Cryptanalysis of Rainbow Signature -- Enrico, you should have hacked further. IEICE Technical Report, 2013.Cryptanalysis of Rainbow signature; title only.
- F. Göloglu, R. Granger, G. McGuire, J. Zumbrägel. Solving a 6120 -bit DLP on a Desktop Computer. Selected Areas in Cryptography (SAC) 2013, 2013.Record DLP in GF(2^6120) in one core-month with new elimination techniques.
- F. Göloğlu, R. Granger, G. McGuire, J. Zumbrägel. On the Function Field Sieve and the Impact of Higher Splitting Probabilities: Application to Discrete Logarithms in \(\F_{2^{1971}}\) and \(\F_{2^{3164}}\). CRYPTO 2013, 2013.Binary-field FFS variant; DLP records in F_2^1971 and F_2^3164.
- Y. Hamdaoui, N. Sendrier. A Non Asymptotic Analysis of Information Set Decoding. Cryptology ePrint Archive, Paper 2013/162, 2013.Non-asymptotic ISD cost estimates for parameter selection.
- Y. Hashimoto. Cryptanalysis of the Quaternion Rainbow. IWSEC 2013, 2013.Structural sparse-structure attack on Quaternion Rainbow.
- K. Hayasaka, K. Aoki, T. Kobayashi, T. Takagi. An Experiment of Number Field Sieve for Discrete Logarithm Problem over GF(p 12). ‘, 2013.NFS multidimensional sieving solves 203-bit DLP in GF(p^12) in 43 hours.
- Y. Huang, C. Petit, N. Shinohara, T. Takagi. Improvement of Faugère et al.'s Method to Solve ECDLP. IWSEC 2013, 2013.Improvement of Faugere et al. summation-polynomial ECDLP method.
- L. Huot. Polynomial systems solving and elliptic curve cryptography. Pierre and Marie Curie University, Paris, France, 2013.Thesis: Groebner tools and symmetric index calculus improving ECDLP attacks.
- L. Huot. Résolution de systèmes polynomiaux et cryptologie sur les courbes elliptiques. Pierre and Marie Curie University, Paris, France, 2013.Thesis on Groebner solving and Gaudry index calculus with symmetries for ECDLP.Same work as openalex:W2240287352; counted there, weight 0 here.
- T. Iijima, F. Momose, J. Chao. Classification of Elliptic/hyperelliptic Curves with Weak Coverings against the GHS attack under an Isogeny Condition. Cryptology ePrint Archive, Paper 2013/487, 2013.Classifies curves with weak GHS coverings under isogeny condition.
- T. Ishiguro, S. Kiyomoto, Y. Miyake, T. Takagi. Parallel Gauss Sieve Algorithm : Solving the SVP in the Ideal Lattice of 128-dimensions. PKC 2014, 2014.Parallel Gauss sieve solves 128-dim ideal lattice SVP challenge in ~30,000 CPU hours.
- T. Johansson, C. Löndahl. A new algorithm for finding low-weight polynomial multiples and its application to TCHo. Lund University Publications (Lund University), 2013.Low-weight codeword search for polynomial multiples; TCHo key recovery.
- A. Joux. A New Index Calculus Algorithm with Complexity \(\)L(1/4+o(1))\(\) in Small Characteristic. Selected Areas in Cryptography (SAC) 2013, 2013.L(1/4) index calculus for small-characteristic finite-field DLP.
- A. Joux. A new index calculus algorithm with complexity \(L(1/4+o(1))\) in very small characteristic. Selected Areas in Cryptography (SAC) 2013, 2013.Joux L(1/4) index calculus for small-characteristic finite field DLP.Same work as dblp:conf-sacrypt-Joux13; counted there, weight 0 here.
- A. Joux, C. Pierrot. The Special Number Field Sieve in \(\F _{p^{n}}\), Application to Pairing-Friendly Constructions. Pairing 2013, 2013.Extends special NFS to DLP in F_p^n for pairing-related fields.
- K. Karabina, E. Knapp, A. Menezes. Generalizations of Verheul's theorem to asymmetric pairings. Advances in Mathematics of Communications, 2013.Verheul-type results: pairing-group isomorphisms imply easy Diffie-Hellman.
- O. Khadir. Algorithm for factoring some RSA and Rabin moduli. CoRR, 2013.Factoring algorithm for special RSA/Rabin moduli; title only.
- A. K. Koundinya, G. Harish, N. K. Srinath, G. E. R. Kumar, Y. V. Pramod, R. Sandeep et al. Performance Analysis of Parallel Pollard's Rho Algorithm. CoRR, 2013.Parallel Pollard rho factoring implementation performance; title only.
- A. K. Koundinya, H. G, S. N. K, R. G. E, P. Y. V, S. R et al. Performance Analysis of Parallel Pollard's Rho Factoring Algorithm. International Journal of Computer Science and Information Technology, 2013.Multicore performance study of parallel Pollard rho factoring; small-scale.
- N. A. Kumar, C. Bhagvati. Efficient algorithm to solve DLP from partial knowledge of the Key. 2013 International Conference on Computer Communication and Informatics, 2013.Generic DLP algorithms given several known non-contiguous key bit blocks.
- T. Laarhoven, M. Mosca, J. v. d. Pol. Solving the Shortest Vector Problem in Lattices Faster Using Quantum Search. PQCrypto 2013, 2013.Quantum search speedups for SVP sieving.
- G. Landais, J. Tillich. An efficient attack of a McEliece cryptosystem variant based on convolutional codes. PQCrypto 2013, 2013.Structural attack on convolutional-code McEliece variant via low-weight codewords.
- G. Landais. Information Set Decoding Implementation. HAL, 2013.ISD implementation; no abstract, judged from title.
- F. Li, W. Bao, X. Fu, Y. Zhang, T. Li. A subexponential-time quantum algorithm for LWE problem. CoRR, 2013.Quantum reduction of LWE to dihedral coset problem.
- M. Liu, P. Q. Nguyen. Solving BDD by Enumeration: An Update. CT-RSA 2013, 2013.Solving BDD by pruned enumeration, with LWE-type applications.
- S. J. Lomonaco. Symbolic Arithmetic and Integer Factorization. CoRR, 2013.Boolean-equation factoring algorithms, admittedly non-competitive.
- Y. Lu, R. Zhang, D. Lin. Factoring Multi-power RSA Modulus N = p r q with Partial Known Bits. ACISP 2013, 2013.Coppersmith factoring of p^r q moduli with partial known bits.
- Y. Lu, R. Zhang, D. Lin. Factoring RSA Modulus with Known Bits from Both p and q: A Lattice Method. Network and System Security, 2013.Lattice factoring of RSA modulus with known bits of both primes.
- I. Márquez-Corbella, E. Martı́nez-Moro, R. Pellikaan, D. Ruano. Computational aspects of retrieving a representation of an algebraic geometry code. Journal of Symbolic Computation, 2013.Structural key recovery on McEliece with algebraic geometry codes.
- I. Márquez-Corbella, R. Pellikaan. Error-correcting pairs and arrays from algebraic geometry codes. Institutional repository, 2013.Error-correcting pairs recover decoders for AG codes, breaking McEliece with them.
- I. Muchtadi-Alamsyah, T. Ardiansyah, S. S. Carita. Pollard Rho Algorithm for Elliptic Curves Over with Negation and Frobenius Map. Advanced Science Letters, 2013.Pollard rho on elliptic curves with negation and Frobenius maps.
- K. Nagao. Equations System coming from Weil descent and subexponential attack for algebraic curve cryptosystem. Cryptology ePrint Archive, Paper 2013/549, 2013.First fall degree analysis of Weil descent systems giving subexponential curve DLP.
- C. Nakajima. Statistical Mechanical Formulation and Simulation of Prime Factorization of Integers. Interdisciplinary Information Sciences, 2013.Statistical-mechanics formulation and Monte Carlo simulation of factoring.
- T. D. Nguyen, T. D. Nguyen, L. D. Tran. Attacks on Low Private Exponent RSA: An Experimental Study. 2013 13th International Conference on Computational Science and Its Applications, 2013.Experimental comparison of lattice and Wiener attacks on small private exponent RSA.
- R. M. O. The distribution of solutions to \(XN=N \pmod a\) with an application to factoring integers. Integers, 2013.New O(N^(1/3)) factoring algorithm beating trial division.
- R. Padmavathy, C. Bhagvati. Index Calculus Method based on Smooth Numbers of ±1 over Zp. Int. J. Netw. Secur., 2013.Index calculus variant over Zp; title only.
- R. Perlner, D. Smith-Tone. On the Classification of Differential Invariants for Multivariate Post-Quantum Cryptosystems". PQCrypto 2013, 2013.Differential invariant classification as security measure for multivariate schemes.
- C. Petit. On the complexity of ECDLP for composite fields. Digital Access to Libraries (Université catholique de Louvain (UCL), l'Université de Namur (UNamur) and the Université Saint-Louis (USL-B)), 2013.Complexity of ECDLP over composite extension fields via index calculus.
- T. Plantard, W. Susilo, Z. Zhang. Adaptive Precision Floating Point LLL. ACISP 2013, 2013.Floating-point LLL variant; v0.3.4 new LLL variants are yes, A, layer 0.
- T. Plantard, M. Schneider. Creating a Challenge for Ideal Lattices. Cryptology ePrint Archive, Paper 2013/039, 2013.Creates Ideal Lattice Challenge with initial ideal-versus-regular SVP comparisons.
- J. v. d. Pol, N. P. Smart. Estimating Key Sizes For High Dimensional Lattice-Based Systems. IMA Cryptography and Coding (IMACC) 2013, 2013.BKZ-2.0 simulator based security estimates for high-dimensional BGV FHE parameters.
- M. Roetteler, R. Steinwandt. A quantum circuit to find discrete logarithms on binary elliptic curves in depth O(log^2 n). Quantum Information & Computation, 2014.Low-depth quantum circuit for binary elliptic curve DLP.
- M. Sadek. Discrete Logarithms and Mordell-Weil Groups. Cryptology ePrint Archive, Paper 2013/660, 2013.Proposed ECDLP attack via Hasse principle in Mordell-Weil groups.
- B. Schmidt, H. Dang. Solving large sparse linear systems for integer factorization on GPUs. Designing Scientific Applications on GPUs, 2013.GPU SpMV for NFS linear algebra step; implementation whose point is attack speed.
- C. Schnorr. Factoring Integers by CVP Algorithms. ‘, 2013.Factoring via CVP lattice algorithms (2013 festschrift version).
- B. Sengupta, A. Das. SIMD-Based Implementations of Sieving in Integer-Factoring Algorithms. Security, Privacy, and Applied Cryptography Engineering, 2013.SIMD sieving implementations for factoring algorithms.
- M. Shantz, E. Teske. Solving the Elliptic Curve Discrete Logarithm Problem Using Semaev Polynomials, Weil Descent and Gröbner Basis Methods -- an Experimental Study. Number Theory and Cryptography, 2013.Experimental evaluation of Semaev-polynomial Weil-descent index calculus for binary ECDLP.
- K. B. A. Shenoy, S. Biswas, P. P. Kurur. Search Graph Formulation and Hasting's Generalization of Metropolis Algorithm For Solving SVP. 2013.Metropolis-Hastings search heuristic for SVP.
- N. Shinohara, T. Shimoyama, T. Hayashi, T. Takagi. Key Length Estimation of Pairing-Based Cryptosystems Using ηT Pairing over GF(3n). IEICE Transactions, 2013.FFS cost estimates for DLP in GF(3^6n) to set eta_T pairing key lengths.Same work as eprint:2012-042; counted there, weight 0 here.
- K. Somsuk, S. Kasemvilas. Comparison Performance of MFFV2 and MVFactor for Factoring the Modulus. 2013 International Conference on IT Convergence and Security (ICITCS), 2013.Compares Fermat-variant factoring methods for close RSA primes.
- B. Sumeetkumar. Implementation of the Boolean Factoring Algorithm. Institutional repository, 2013.Implementation and analysis of Boolean factoring via DNF-SAT reduction.
- A. Takayasu, N. Kunihiro. Better Lattice Constructions for Solving Multivariate Linear Equations Modulo Unknown Divisors. ACISP 2013, 2013.Better Coppersmith lattices for multivariate linear equations modulo unknown divisors; RSA cryptanalytic bounds.
- Y. Tian, R. Sun, X. Zhu. A Local-Global Approach to Solving Ideal Lattice Problems. TAMC, 2014.Local-global SVP/CVP solver for ideal lattices via subfield reduction.
- Y. Tian, X. Zhu, R. Sun. Moduar Form Aprroach to Solving Lattice Problems. TAMC, 2014.Theta-function/modular-form randomized exact SVP and CVP solvers.
- I. Tsutomu, F. Momose, J. Chao. of Elliptic/hyperelliptic Curves with Weak Coverings against GHS Attack without Isogeny Condition. 2013.Classifies curves with weak coverings vulnerable to GHS Weil descent.
- N. M. V. On the complexity of two-dimensional discrete logarithm problem in a finite cyclic group with efficient automorphism. Matematicheskie Voprosy Kriptografii, 2013.Improved Gaudry-Schost constant for 2D DLP on curves with order-6 automorphism.
- U. Wagner. Considerations on computational lattice problems. Institutional repository, 2013.Thesis improving LLL, AKS sieve and HKZ-based CVP algorithms.
- A. W. Wanambisi, S. Aywa, C. Maende, G. M. Muketha. Advances in composite integer factorization. Mathematical theory and modeling, 2013.Proposes new integer factorization method; weak venue.
- H. Wang, Z. Ma, C. Ma. An efficient quantum meet-in-the-middle attack against NTRU-2005. Chinese Science Bulletin, 2013.Quantum meet-in-the-middle NTRU key recovery with lower complexity.
- P. Wang, F. Zhang. Improving the Parallelized Pollard Rho Method for Computing Elliptic Curve Discrete Logarithms. 2013 Fourth International Conference on Emerging Intelligent Data and Web Technologies, 2013.New iteration functions for parallel Pollard rho on ECDLP.
- M. Yang, Q. Meng, Z. Wang, L. Wang, H. Zhang. Polynomial Selection for the Number Field Sieve in an Elementary Geometric View. Cryptology ePrint Archive, Paper 2013/583, 2013.Geometric model for NFS polynomial selection; criteria adopted by CADO-NFS.
- M. Yang, Q. Meng, Z. Wang, L. Wang, H. Zhang. polynomial selection for the number field sieve in geometric view. IACR Cryptology ePrint Archive, 2013.NFS polynomial selection criteria with experiments.
- T. Yasuda, T. Takagi, K. Sakurai. Security of Multivariate Signature Scheme Using Non-commutative Rings. IEICE Transactions, 2013.Analyses known attacks on NC-Rainbow and estimates security parameters.
- W. Ying. An Improved Block Lanczos Algorithm to Solve Large and Sparse Matrixes on GPUs. 2013 Ninth International Conference on Computational Intelligence and Security, 2013.Improved GPU block Lanczos for GNFS linear algebra.
- F. Zhang, Y. Pan, G. Hu. A Three-Level Sieve Algorithm for the Shortest Vector Problem. Selected Areas in Cryptography (SAC) 2013, 2013.Three-level heuristic sieve with improved SVP time exponent.
- H. Zhu, S. Su. The Improvement of the Commonly Used Linear Polynomial Selection Methods. 2013 Ninth International Conference on Computational Intelligence and Security, 2013.Improved leading-coefficient choice for Kleinjung GNFS polynomial selection.
- 健. 早坂, K. Aoki, 鉄. 小林, 剛. 高木. 拡大体GF( p n )上の数体篩法における3次元Lattice Sieveの構成. Medical Entomology and Zoology, 2013.Three-dimensional lattice sieve for NFS over GF(p^n).
201286 items2012.bib
- M. R. Albrecht, C. Cid, J. Faugère, R. Fitzpatrick, L. Perret. On the Complexity of the BKW Algorithm on LWE. Designs, Codes and Cryptography, 2015.Refined BKW complexity estimates for LWE, compared with lattice reduction.
- M. R. Albrecht, C. Cid, J. Faugère, F. Robert, L. Perret. On the complexity of the Arora-Ge Algorithm against LWE. HAL, 2012.Complexity of Arora-Ge algebraic attack on LWE.
- B. Amento, R. Steinwandt, M. Roetteler. Efficient quantum circuits for binary elliptic curve arithmetic: reducing T-gate complexity. Quantum Information & Computation, 2013.Reduces T-gate cost of binary elliptic-curve arithmetic for Shor ECDLP circuits.
- Y. Aono, K. Naganuma. Heuristic improvements of BKZ 2.0. IEICE Technical Report, 2012.Heuristic improvements to BKZ 2.0 lattice reduction.
- Y. Aono. Minkowski sum based lattice construction for multivariate simultaneous Coppersmith's technique and applications to RSA. ACISP 2013, 2013.Coppersmith lattice construction for simultaneous equations; factors common-modulus small-exponent RSA.Same work as openalex:W2399664638; counted there, weight 0 here.
- Y. Aono. Minkowski sum based lattice construction for solving simultaneous modular equations and applications to RSA. ACISP 2013, 2013.Lattice construction for simultaneous modular equations applied to RSA attacks.
- Y. Aono, M. Agrawal, T. Satoh, O. Watanabe. On the Optimality of Lattices for the Coppersmith Technique. ACISP 2012, 2012.Limits of Coppersmith lattice constructions; shows original bound optimal.
- E. I. Atanassov, D. Georgiev, N. L. Manev. ECM integer factorization on GPU cluster. MIPRO, 2012.ECM factoring implementation on GPU cluster (title only).
- H. W. B. A one line factoring algorithm. Journal of the Australian Mathematical Society, 2012.Hart's one-line Fermat-style factoring algorithm with heuristic analysis.
- S. Bai, E. Thomé, P. Zimmermann. Factorisation of RSA-704 with CADO-NFS. Cryptology ePrint Archive, Paper 2012/369, 2012.RSA-704 factorization with CADO-NFS.
- S. Bai, R. P. Brent, E. Thomé. Root Optimization of Polynomials in the Number Field Sieve. Mathematics of Computation, 2015.Root-property optimization algorithms for NFS polynomial selection.
- S. Bai, P. A. Zimmermann. SIZE OPTIMIZATION OF SEXTIC POLYNOMIALS IN THE NUMBER FIELD SIEVE. 2012.Size optimization of sextic polynomials for GNFS polynomial selection.
- R. Barbulescu, J. W. Bos, C. Bouvier, T. Kleinjung, P. L. Montgomery. Finding ECM-Friendly Curves through a Study of Galois Properties. Cryptology ePrint Archive, Paper 2012/070, 2012.ECM-friendly curve families raising ECM success probability.
- A. Becker, A. Joux, A. May, A. Meurer. Decoding Random Binary Linear Codes in \(2^{n/20}\): How \(1+1=0\) Improves Information Set Decoding. EUROCRYPT 2012, 2012.BJMM information set decoding with improved representations, 2^0.0494n.
- D. J. Bernstein, T. Lange. Computing small discrete logarithms faster. INDOCRYPT 2012, 2012.Table-accelerated small/interval discrete logarithm computation.
- D. J. Bernstein, H. Chen, C. Cheng, T. Lange, R. Niederhagen, P. Schwabe et al. ECC2K-130 on NVIDIA GPUs. INDOCRYPT 2010, 2010.GPU-optimized rho for ECC2K-130 Certicom challenge; speed-focused implementation.
- D. J. Bernstein, T. Lange. Never trust a bunny. RFIDSec, 2012.Attack on Ring-LPN-512 violating Lapin security claims.
- D. J. Bernstein, T. Lange. Two grumpy giants and a baby. ANTS (Algorithmic Number Theory Symposium) 2012, 2012.Two grumpy giants and baby beats rho/BSGS for generic DLP.
- L. Bettale, J. Faugère, L. Perret. Solving polynomial systems over finite fields: improved analysis of the hybrid approach. ISSAC 2012, 2012.Improved complexity analysis of hybrid Groebner approach for MQ.
- J. W. Bos, A. Dudeanu, D. Jetchev. Collision Bounds for the Additive Pollard Rho Algorithm for Solving Discrete Logarithms. Journal of Mathematical Cryptology, 2014.Proves collision-time bounds for additive-walk Pollard rho used for ECDLP.
- J. W. Bos, T. Kleinjung. ECM at Work. ASIACRYPT 2012, 2012.Optimized Edwards ECM on GPUs for NFS cofactorization.
- J. W. Bos, M. E. Kaihara, T. Kleinjung, A. K. Lenstra, P. L. Montgomery. Solving a 112-bit prime elliptic curve discrete logarithm problem on game consoles using sloppy reduction. International Journal of Applied Cryptography, 2012.112-bit prime ECDLP record via Pollard rho on PS3 cluster.
- C. Bouillaguet, P. Fouque, A. Véber. Graph-Theoretic Algorithms for the ``Isomorphism of Polynomials'' Problem. EUROCRYPT 2013, 2013.Graph-theoretic birthday algorithms for Isomorphism of Polynomials problem.
- X. Chang, D. Stehlé, G. Villard. Perturbation Analysis of the QR factor R in the context of LLL lattice basis reduction. Mathematics of Computation, 2012.Rigorous R-factor perturbation analysis enabling floating-point LLL variants.
- C. Cheng, T. Chou, R. Niederhagen, B. Yang. Solving Quadratic Equations with XL on Parallel Architectures. CHES / TCHES 2012, 2012.Parallel XL/block Wiedemann MQ solver; solves 32-variable F16 system with stated resources.
- J. H. Cheon, J. Hong, M. Kim. Accelerating Pollard's Rho Algorithm on Finite Fields. Journal of Cryptology, 2010.Faster Pollard rho iteration for finite-field discrete logarithms.
- G. Childers. Factorization of a 1061-bit number by the Special Number Field Sieve. Cryptology ePrint Archive, Paper 2012/444, 2012.SNFS factorization of 2^1061-1 with public software.
- E. Costa, D. Harvey. Faster deterministic integer factorization. Mathematics of Computation, 2013.Improved deterministic factoring complexity bound.
- J. Couveignes. Algebraic groups and discrete logarithm. PKC, 2012.Existence of subexponential DLP algorithms in algebraic groups.
- N. Coxon. On the number field sieve: polynomial selection and smooth elements in number fields. Dissertation (University of Queensland Library), 2012.Thesis: new NFS polynomial selection and smooth number-field elements via decoding.
- D. Dadush, G. Kun. Lattice Sparsification and the Approximate Closest Vector Problem. SODA 2013, 2013.Deterministic 2^O(n) approximate CVP via lattice sparsification.
- D. Daniel. A \(O(1/\epsilon ^2)^n \)-time sieving algorithm for approximate integer programming. LATIN 2012: Theoretical Informatics, 2012.Dadush lattice sieving for approximate CVP/integer programming in general norms.
- Y. Deng, Y. Pan. An algorithm for factoring integers. Cryptology ePrint Archive, Paper 2012/097, 2012.Proposes a new factoring algorithm; no sensational claim made.
- C. Diem. On the discrete logarithm problem for plane curves. Journal de théorie des nombres de Bordeaux, 2012.Index calculus DLP on plane curves; genus-3 in O~(q).
- S. Ezzouak, M. E. Amrani, A. Azizi. Improving Pollard's Rho attack on elliptic curve cryptosystems. 2012 International Conference on Multimedia Computing and Systems, 2012.Improved Pollard rho attack on ECC; title only.
- J. Faugère, L. Perret, C. Petit, G. Renault. Improving the Complexity of Index Calculus Algorithms in Elliptic Curves over Binary Fields. EUROCRYPT 2012, 2012.Improved index calculus complexity for binary-field elliptic curves.
- J. Faugère, P. Gaudry, L. Huot, G. Renault. Using Symmetries and Fast Change of Ordering in the Index Calculus for Elliptic Curves Discrete Logarithm. Journal of Cryptology, 2014.Symmetries and fast change of ordering in ECDLP index calculus.
- J. Faugère, P. Gaudry, L. Huot, G. Renault. Using Symmetries in the Index Calculus for Elliptic Curves Discrete Logarithm. Journal of Cryptology, 2014.Exploits Edwards/Jacobi curve symmetries in index calculus over extension fields.Same work as openalex:W66388758; counted there, weight 0 here.
- F. Fontein, M. Schneider, U. Wagner. A Polynomial Time Version of LLL With Deep Insertions. Designs, Codes and Cryptography, 2014.Polynomial-time DeepLLL variant.
- M. Fukase, K. Yamaguchi. Finding a Very Short Lattice Vector in the Extended Search Space. Inf. Media Technol., 2012.Extended search space exhaustive search for very short lattice vectors.
- S. D. Galbraith⋆, M. Holmes. A non-uniform birthday problem with applications to discrete logarithms. Discrete Applied Mathematics, 2012.Non-uniform birthday analysis for collision algorithms on DLP variants.
- V. Gauthier, A. Otmani, J. Tillich. A Distinguisher-Based Attack of a Homomorphic Encryption Scheme Relying on Reed-Solomon Codes. Designs, Codes and Cryptography, 2014.Square-code distinguisher and key recovery on Reed-Solomon-based McEliece-like scheme.
- V. Gauthier, A. Otmani, J. Tillich. A Distinguisher-Based Attack on a Variant of McEliece's Cryptosystem Based on Reed-Solomon Codes. Designs, Codes and Cryptography, 2014.Square-code distinguisher attack on GRS-based McEliece variant.Same work as eprint:2012-168; counted there, weight 0 here.
- S. T. Ghebregiorgish. Quadratic Sieve integer factorization using Hadoop. 63, 2012.Distributed quadratic sieve on Hadoop; speed-focused implementation.
- G. Harish, G. P. Kumar, A. K. Koundinya, Y. V. Pramod, N. K. Srinath, G. E. R. Kumar et al. Parallelization of Pollard's Rho Integer factorization algorithm. CCSEIT, 2012.Multi-core parallel Pollard rho factoring.
- T. Hayashi, T. Shimoyama, N. Shinohara, T. Takagi. Breaking Pairing-Based Cryptosystems Using η T Pairing over GF(397). ASIACRYPT 2012, 2012.Record FFS discrete log in GF(3^582) breaking eta_T pairing over GF(3^97).
- T. Hayashi, T. Shimoyama, N. Shinohara, T. Takagi. Breaking pairing-based cryptosystems using \(\eta_T\) pairing over \(GF(3^{97})\). ASIACRYPT 2012, 2012.FFS solves DLP in GF(3^6*97) breaking eta_T pairing; 148 days on 252 cores.Same work as dblp:conf-asiacrypt-HayashiSST12; counted there, weight 0 here.
- R. Henry, I. Goldberg. Solving Discrete Logarithms in Smooth-Order Groups with CUDA 1. 2012.GPU parallel rho for DL in smooth-order modular groups; speed-focused implementation.
- T. J. Hodges, C. Petit, J. Schlather. Degree of regularity of systems arising from a Weil descent. Digital Access to Libraries (Université catholique de Louvain (UCL), l'Université de Namur (UNamur) and the Université Saint-Louis (USL-B)), 2012.First fall degree bounds for Weil descent systems used in ECDLP and HFE attacks.
- P. Information. Research on ECC Attacking Algorithm Based on SIMD Instructions. Journal of Computer Research and Development, 2012.Bitsliced SIMD Pollard rho for binary ECDLP on Certicom challenges.
- H. Jeljeli. Accelerating Iterative SpMV for Discrete Logarithm Problem Using GPUs. WAIFI 2014, 2014.GPU SpMV for index-calculus linear algebra; used in GF(2^619), GF(2^809) DLPs.
- A. Joux. Faster index calculus for the medium prime case. Application to 1175-bit and 1425-bit finite fields. EUROCRYPT 2013, 2013.Pinpointing speeds index-calculus relation collection; 1175/1425-bit medium-prime DLP records.
- L. Judge, S. Mane, P. Schaumont. A Hardware-Accelerated ECDLP with High-Performance Modular Multiplication. International Journal of Reconfigurable Computing, 2012.FPGA Pollard rho implementation for prime-field ECDLP aimed at speed.
- T. Kim, J. H. Cheon. A NEW APPROACH TO THE DISCRETE LOGARITHM PROBLEM WITH AUXILIARY INPUTS. LMS Journal of Computation and Mathematics, 2016.New algorithm for DLP with auxiliary inputs generalizing Cheon's attack.Same work as openalex:W3030649634; counted there, weight 0 here.
- T. Kim, J. H. Cheon. A New Approach to Discrete Logarithm Problem with Auxiliary Inputs. LMS Journal of Computation and Mathematics, 2016.New algorithm for DLP with auxiliary inputs via substitution polynomials.
- H. Malla, V. SantKaustubh, R. Ganesh, R. Padmavathy. Block Lanczos to Solve Integer Factorization Problem Using GPU’s. Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, 2012.GPU block Lanczos for factoring linear algebra step; title only.
- Y. Masaya. A generalization of the anomalous attack for the ECDLP over \(\mathbb Q_p\). International Journal of Pure and Applied Mathematics, 2012.Generalizes anomalous-curve attack method to ECDLP over p-adic field.
- I. Márquez-Corbella, E. Martı́nez-Moro, R. Pellikaan. Cryptanalysis of Public-key Cryptosystems Based on Algebraic Geometry Codes. TU/e Research Portal, 2012.Structural recovery of AG code triple; breaks AG-code McEliece.
- K. Naganuma, M. Yoshino, H. Sato. Upper bound of the shortest vector coefficients and its applications. ISITA 2012, 2012.Bounds on shortest-vector coefficients, likely for pruning SVP enumeration.
- S. Naotoshi, Y. Junichi, O. Naoki, U. Shigenori. An integer factoring algorithm based on elliptic divisibility sequences. JSIAM Letters, 2012.Factoring algorithm based on elliptic divisibility sequences, implemented.
- J. A. Othman. Impact of decreasing polynomial degree in time needed to factor a 100 digits integer by General Number field sieve algorithm. Engineering and Technology Journal, 2012.Experimental effect of GNFS polynomial degree on 100-digit factoring time.
- C. Petit. Complexity of index calculus algorithms for ECDLP over composite fields. Digital Access to Libraries (Université catholique de Louvain (UCL), l'Université de Namur (UNamur) and the Université Saint-Louis (USL-B)), 2012.Complexity of index calculus for ECDLP over composite fields.
- C. Petit, J. Quisquater. On Polynomial Systems Arising from a Weil Descent. ASIACRYPT 2012, 2012.Weil descent system regularity implies subexponential index calculus for binary ECDLP.
- T. Plantard, W. Susilo, Z. Zhang. Lattice Reduction for Modular Knapsack. Selected Areas in Cryptography (SAC) 2012, 2012.Lattice reduction algorithm for modular knapsack lattices.
- Y. Sakemi, T. Izu, M. Takenaka, M. Yasuda. Solving a DLP with Auxiliary Input with the ρ-Algorithm. WISA, 2011.Rho-based algorithm for DLP with auxiliary input.
- Y. Sakemi, G. Hanaoka, T. Izu, M. Takenaka, M. Yasuda. Solving a Discrete Logarithm Problem with Auxiliary Input on a 160-Bit Elliptic Curve. PKC 2012, 2012.Solves DLP with auxiliary input on a 160-bit curve in practice.
- R. SantoshKumar, C. Narasimham, S. P. Setty. Generalization of Boneh and Durfee's Attack for Arbitrary Public Exponent RSA. International Journal of Computer Applications, 2012.Generalizes Boneh-Durfee small-d attack to arbitrary public exponent.
- B. Schmidt, H. Aribowo, H. Dang. Iterative sparse matrix–vector multiplication for accelerating the block Wiedemann algorithm over GF(2) on multi‐graphics processing unit systems. Concurrency and Computation: Practice and Experience, 2012.Multi-GPU block Wiedemann for NFS linear algebra; speed-focused.
- N. Shinohara, T. Shimoyama, T. Hayashi, T. Takagi. Key Length Estimation of Pairing-based Cryptosystems using \(\eta_T\) Pairing. ISPEC 2012, 2012.FFS cost estimates for DLP in GF(3^6n) for eta_T pairing key lengths.
- P. Spaenlehauer. Résolution de systèmes multi-homogènes et déterminantiels algorithmes - complexité - applications. Pierre and Marie Curie University, Paris, France, 2012.Groebner complexity for bilinear/determinantal systems; MinRank cryptanalysis application.
- E. Thomae. A Generalization of the Rainbow Band Separation Attack and its Applications to Multivariate Schemes. Cryptology ePrint Archive, Paper 2012/223, 2012.Generalized Rainbow band separation via good keys; breaks Enhanced STS and MFE.
- E. Thomae. Quo Vadis Quaternion? Cryptanalysis of Rainbow over Non-Commutative Rings. SCN 2012, 2012.MinRank/HighRank attacks exploiting quaternion structure in NC-Rainbow.
- E. Thomé. Square Root Algorithms for the Number Field Sieve. WAIFI 2012, 2012.New square-root algorithm for the NFS final step.
- J. Tibor. Black-box models of computation in cryptology. 2012.Generic and semi-generic group/ring model results on DL, DH and RSA problems.
- U. Wagner. Solving the LPN problem in cube-root time. CoRR, 2012.Cube-root-time LPN algorithm via fast correlation techniques.
- P. Wang, F. Zhang. An Efficient Collision Detection Method for Computing Discrete Logarithms with Pollard's Rho. J. Appl. Math., 2012.Improved collision detection for Pollard rho, tested on EC groups.
- P. Wang, F. Zhang. Improved Pollard rho method for computing discrete logarithms over finite extension fields. J. Comput. Appl. Math., 2012.Improved Pollard rho for DLP over finite extension fields; title only.
- Z. Xiong, J. Wang, Y. Wang, T. Zhang, L. Chen. An Improved MITM Attack Against NTRU. International Journal of Security and Its Applications, 2012.Grover-accelerated meet-in-the-middle key recovery on NTRU.
- D. A. Ya. Solving systems of linear equations arising in the computation of logarithms in a finite prime field. Matematicheskie Voprosy Kriptografii, 2012.Empirical study of sparse linear algebra stage for prime-field index calculus.
- Y. Yang, G. Zeng, Z. Wang, W. B. Han. Calculation Components Analysis of the Lattice Sieve. Advanced Materials Research, 2012.Analysis of GNFS lattice sieve components for accelerated implementation.
- M. Yang, Q. Meng, Z. Wang, L. Li, H. Zhang. On the coefficients of the polynomial in the number field sieve. Sci. China Inf. Sci., 2015.Correlates NFS polynomial coefficients with yield to speed polynomial selection.Same work as openalex:W3029193521; counted there, weight 0 here.
- M. Yang, Q. Meng, Z. Wang, H. Zhang. Some observations to speed the polynomial selection in the number field sieve. Sci. China Inf. Sci., 2015.Speeding NFS polynomial selection; title only.
- M. Yasuda. A generalization of the anomalous attack for the ECDLP over Q p. 2012.Generalized anomalous-curve attack for ECDLP over Q_p; title only.
- M. Yasuda, J. Yajima, T. Shimoyama, J. Kogure. Analysis of Lattice Reduction Attack against the Somewhat Homomorphic Encryption Based on Ideal Lattices. EuroPKI, 2012.Lattice-reduction attack cost analysis against ideal-lattice somewhat homomorphic encryption.
- M. Yasuda, T. Shimoyama, J. Kogure, T. Izu. On the Strength Comparison of the ECDLP and the IFP. SCN 2012, 2012.Comparative cost estimate of ECDLP vs integer factoring strength.
- H. Zhang, T. Takagi. An exhaustive search method to find all small solutions of a multivariate modular linear equation. JSIAM Letters, 2012.Lattice enumeration finds all small modular solutions; improved attack on RSA-CRT small exponent.
201195 items2011.bib
- N. Abderrahmane. New weak RSA keys. JP Journal of Algebra, Number Theory and Applications, 2011.New weak RSA exponent class factored via continued fractions and Coppersmith.
- D. Aggarwal, U. M. Maurer, I. E. Shparlinski. The Equivalence of Strong RSA and Factoring in the Generic Ring Model of Computation. HAL, 2011.Strong RSA equivalent to factoring in generic ring model.
- B. Ambedkar, S. S. Bedi. A New Factorization Method to Factorize RSA Public Key Encryption. 2011.Pollard-rho-based factoring variant; weak venue, modest claims.
- S. Arora, R. Ge. New Algorithms for Learning in Presence of Errors. ICALP 2011, 2011.Arora-Ge linearization algorithm for LWE/LPN with structured or small noise.
- A. S. K. B, S. Biswas, P. P. Kurur. Metropolis algorithm for solving shortest lattice vector problem (SVP). 2011 11th International Conference on Hybrid Intelligent Systems (HIS), 2011.Metropolis-algorithm heuristic for SVP.
- Z. D. B., R. R. G. On a strategy in the sieving procedure for the factorization of large natural numbers. Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2011.Sieving strategy for quadratic sieve and NFS factoring.
- W. Backes, S. Wetzel. Improving the Parallel Schnorr-Euchner LLL Algorithm. Algorithms and Architectures for Parallel Processing, 2011.Improved parallel Schnorr-Euchner LLL.
- W. Backes, S. Wetzel. Parallel Lattice Basis Reduction - The Road to Many-Core. 2011 IEEE International Conference on High Performance Computing and Communications, 2011.New many-core parallel LLL reduction algorithm.
- S. Bai. Polynomial selection for the number field sieve. Cambridge University Press eBooks, 2017.Thesis improving NFS polynomial selection (size and root optimization).
- T. Bartkewitz, T. Güneysu. Full Lattice Basis Reduction on Graphics Cards. WEWoRC, 2011.GPU implementation of full lattice basis reduction for speed.
- D. J. Bernstein, T. Lange, C. Peters, P. Schwabe. Faster 2-regular information-set decoding. IWCC, 2011.Faster ISD for 2-regular decoding arising in FSB attacks.
- D. J. Bernstein, T. Lange, P. Schwabe. On the correct use of the negation map in the Pollard rho method. PKC 2011, 2011.Branch-free negation-map Pollard rho nearly doubles secp112r1 ECDLP speed.
- L. Bettale, J. Faugère, L. Perret. Cryptanalysis of HFE, Multi-HFE and Variants for Odd and Even Characteristic. Designs, Codes and Cryptography, 2013.Kipnis-Shamir/MinRank key recovery on HFE and Multi-HFE; breaks proposed parameters.
- L. Bettale, J. Faugère, L. Perret. Cryptanalysis of Multivariate and Odd-Characteristic HFE Variants. PKC 2011, 2011.Cryptanalysis of multi-HFE and odd-characteristic HFE variants.
- J. Bi, Q. Cheng. Lower bounds of shortest vector lengths in random knapsack lattices and random NTRU lattices. TAMC, 2012.Rigorous shortest-vector lower bounds for random knapsack and NTRU lattices.
- S. R. Blackburn⋆. The Number of Partitions in Pollard Rho. 2011.Analysis of partition count in Pollard rho walks.
- A. A. Boiko, D. B. Ziyatdinov, S. T. Ishmukhametov. One approach to factorization of positive integers. Russian Mathematics, 2011.New NFS variant with single factor base; QS-like complexity.
- J. W. Bos. On the Cryptanalysis of Public-Key Cryptography. EPFL, Switzerland, 2012.Thesis on rho negation map, ECM; solved 112-bit ECDLP record.
- W. Cao, L. Hu, J. Ding, Z. Yin. Kipnis-Shamir Attack on Unbalanced Oil-Vinegar Scheme. ISPEC 2011, 2011.Kipnis-Shamir attack extended to Unbalanced Oil-Vinegar.
- Y. Chen, P. Q. Nguyen. BKZ 2.0: Better Lattice Security Estimates. ASIACRYPT 2011, 2011.BKZ 2.0 and simulator-based lattice security estimates.
- M. Choi, S. Lee. The n+1 Integer Factorization Algorithm. The Journal of the Institute of Webcasting, Internet and Telecommunication, 2011.Fermat-style factoring variant compared against Fermat; weak.
- M. Choi, S. Lee. The κ-Fermat's Integer Factorization Algorithm. The Journal of the Institute of Webcasting, Internet and Telecommunication, 2011.Fermat-style factoring variant claimed faster than Fermat.
- G. Chunsheng. Cryptanalysis of the Smart-Vercauteren and Gentry-Halevi’s Fully Homomorphic Encryption. Cryptology ePrint Archive, Paper 2011/328, 2011.Lattice reduction recovers equivalent keys for SV and GH FHE parameters.
- N. Coxon. On nonlinear polynomial selection for the number field sieve. arXiv, 2011.New nonlinear polynomial selection algorithms for the number field sieve.
- D. Dadush, D. Micciancio. Algorithms for the Densest Sub-Lattice Problem. SODA 2013, 2013.Algorithms for densest sublattice, generalizing SVP in any norm.
- D. Dadush, S. Vempala. Deterministic Construction of an Approximate M-Ellipsoid and its Applications to Derandomizing Lattice Algorithms. SODA 2012, 2012.Deterministic SVP algorithm via M-ellipsoid coverings.
- D. Dadush, C. Peikert, S. Vempala. Enumerative Lattice Algorithms in any Norm Via M-ellipsoid Coverings. FOCS 2011, 2011.2^O(n) SVP/CVP enumeration in any norm via M-ellipsoid coverings.Same work as openalex:W109797903; counted there, weight 0 here.
- J. Ding, T. Kleinjung. Degree of regularity for HFE-. Cryptology ePrint Archive, Paper 2011/570, 2011.Closed-form degree of regularity for HFE-, giving complexity estimate for HFE Challenge 2.
- J. Ding, T. J. Hodges. Inverting HFE Systems Is Quasi-Polynomial for All Fields. CRYPTO 2011, 2011.HFE inversion quasi-polynomial over all fields.
- J. Ding. Inverting the Square systems is exponential. Finite Fields and Their Applications, 2014.Proves degree of regularity of Square systems, so algebraic inversion is exponential.
- H. Dinh, C. Moore, A. Russell. McEliece and Niederreiter Cryptosystems That Resist Quantum Fourier Sampling Attacks. CRYPTO 2011, 2011.McEliece/Niederreiter resistance to quantum Fourier sampling; negative result.Same work as dblp:journals-corr-abs-1008-2390; counted there, weight 0 here.
- C. J. Evans. The Elliptic Curve Discrete Logarithm and Functional Graphs. Rose-Hulman Scholar (Rose–Hulman Institute of Technology), 2011.Statistical search for exploitable structure in x-ECDLP functional graphs.
- J. Faugère, M. S. E. Din, P. Spaenlehauer. On the complexity of the generalized MinRank problem. Journal of Symbolic Computation, 2013.Groebner-basis complexity bounds for generalized MinRank solving.
- G. Frey, E. Kani. Correspondences on Hyperelliptic Curves and Applications to the Discrete Logarithm. SIIS, 2011.Curve correspondences transferring hyperelliptic DLP; structural attack, no abstract.
- M. Fukase, K. Yamaguchi. Analysis of the Extended Search Space for the Shortest Vector in Lattice. DOAJ (DOAJ: Directory of Open Access Journals), 2011.Analysis of extended search space for SVP after BKZ.
- G. Hanrot, X. Pujol, D. Stehlé. Analyzing Blockwise Lattice Algorithms Using Dynamical Systems. CRYPTO 2011, 2011.Dynamical-systems analysis of BKZ blockwise reduction.Same work as openalex:W2317377573; counted there, weight 0 here.
- G. Hanrot, D. Stehlé. Analyzing Blockwise Lattice Algorithms Using. CRYPTO 2011, 2011.Complexity analysis of terminated BKZ; core lattice reduction attack machinery.
- G. Hanrot, X. Pujol, D. Stehlé. Terminating BKZ. Cryptology ePrint Archive, Paper 2011/198, 2011.Provable quality bounds for early-terminated BKZ.
- Y. Hashimoto. Algorithms to Solve Massively Under-Defined Systems of Multivariate Quadratic Equations. IEICE Transactions, 2011.Algorithms for underdefined MQ systems with attack on UOV parameters.
- C. Hsieh, L. Tsai, J. Lin, R. Chen. A Meet-In-The-Middle Attack against NTRU with Trinary Parameters. 2011.Adapted meet-in-the-middle key search against trinary-key NTRUEncrypt.
- M. A. Huang. Local Duality and the Discrete Logarithm Problem. Coding and Cryptology, 2011.Relates DLP to local duality pairings; structural approach to DLP in algebraic groups.
- T. Izu, M. Takenaka, M. Yasuda. Experimantal Analysis of Cheon's Algorithm Against Pairing-Friendly Curves. 2011 IEEE International Conference on Advanced Information Networking and Applications, 2011.Experiments with Cheon's auxiliary-input DLP algorithm on pairing-friendly curves.
- T. Izu, M. Takenaka, M. Yasuda. Experimental Analysis of Cheon's Algorithm against Pairing-friendly Curves. Inf. Media Technol., 2011.Title only: experiments with Cheon's auxiliary-input DLP algorithm on pairing curves.Journal extension of dblp:conf-aina-IzuTY11; counted at 0.33.
- T. Izu, M. Takenaka, M. Yasuda. Time Estimation of Cheon's Algorithm over Elliptic Curves on Finite Fields with Characteristic 3. 2011 Fifth International Conference on Innovative Mobile and Internet Services in Ubiquitous Computing, 2011.Title only: time estimate of Cheon's algorithm on char-3 curves.
- G. H. Jo, N. Koo, S. Kwon. Two Cubic Polynomials Selection for the Number Field Sieve. The Journal of Korea Information and Communications Society, 2011.Two-cubic polynomial selection method for NFS.
- T. Johansson, C. Löndahl. An improvement to Stern's algorithm ⋆. Lund University Publications (Lund University), 2011.Improved Stern ISD for low-weight codewords.
- A. Joux, V. Vitse. Cover and Decomposition Index Calculus on Elliptic Curves made practical. Application to a seemingly secure curve over \(\F_{p^6}\). EUROCRYPT 2012, 2012.Cover-and-decomposition index calculus; solves ECDLP on curve over 130-bit F_p^6.
- P. Kirchner. Improved Generalized Birthday Attack. Cryptology ePrint Archive, Paper 2011/377, 2011.Improved generalized birthday algorithm for regular decoding; impacts FSB, SWIFFT, LPN.
- N. Koo, G. H. Jo, S. Kwon. On Nonlinear Polynomial Selection and Geometric Progression (mod N) for Number Field Sieve. Cryptology ePrint Archive, Paper 2011/292, 2011.Nonlinear NFS polynomial selection via geometric progressions mod N.
- N. Kunihiro, N. Shinohara, T. Izu. A Unified Framework for Small Secret Exponent Attack on RSA. IEICE Transactions, 2011.Unified Coppersmith lattice framework for small-secret-exponent RSA attacks; optimality of Boneh-Durfee bound.
- P. Kuo, M. Schneider, Ö. Dagdelen, J. Reichelt, J. Buchmann, C. Cheng et al. Extreme Enumeration on GPU and in Clouds - - How Many Dollars You Need to Break SVP Challenges -. CHES / TCHES 2011, 2011.GPU/cloud extreme-pruning enumeration; SVP Challenge dimension 120 with dollar cost.
- C. Ling, S. Liu, L. Luzzi, D. Stehlé. Decoding by embedding: Correct decoding radius and DMT optimality. IEEE ISIT 2011, 2011.Analysis of Kannan embedding for BDD via uSVP; improved LLL decoding radius.
- M. Liu, X. Wang, G. Xu, X. Zheng. Shortest Lattice Vectors in the Presence of Gaps. CT-RSA 2015, 2015.SVP algorithm exploiting successive-minima gaps; LWE gap estimates.
- S. Mane, L. Judge, P. Schaumont. An Integrated Prime-Field ECDLP Hardware Accelerator with High-Performance Modular Arithmetic Units. 2011 International Conference on Reconfigurable Computing and FPGAs, 2011.FPGA Pollard rho engine for 112-bit prime-field ECDLP; speed-focused.
- A. May, A. Meurer, E. Thomae. Decoding Random Linear Codes in \(\tilde{\mathcal{O}}(2^{0.054n})\). ASIACRYPT 2011, 2011.MMT improved information set decoding for random linear codes.
- G. C. Meletiou, Y. C. Stamatiou, A. Tsiakalos. Lower Bounds for Interpolating Polynomials for Square Roots of the Elliptic Curve Discrete Logarithm. Information Security and Assurance, 2011.Lower bounds on interpolation polynomials for ECDLP; negative result, title only.
- B. Milde, M. Schneider. A Parallel Implementation of GaussSieve for the Shortest Vector Problem in Lattices. PaCT, 2011.Parallel GaussSieve for SVP.
- M. S. E. Mohamed, J. Ding, J. Buchmann. Towards Algebraic Cryptanalysis of HFE Challenge 2. Information Security and Assurance, 2011.Algebraic (MutantXL-type) cryptanalysis toward HFE Challenge 2.
- S. Murat, E. A. Bulent. On an probabilistic algorithm solving discrete logarithm problem. Acta Universitatis Apulensis. Mathematics - Informatics, 2011.Analyzes probabilistic finite-field DLP algorithm vs rho, reduces memory.
- S. T. Nguyen, S. T. Ghebregiorgish, N. Alabbasi, C. Rong. Integer Factorization Using Hadoop. 2011 IEEE Third International Conference on Cloud Computing Technology and Science, 2011.Quadratic sieve on Hadoop; scalable factoring implementation.
- R. Niebuhr, P. Cayrel, J. A. Buchmann. Improving the efficiency of Generalized Birthday Attacks against certain structured cryptosystems. HAL, 2011.Faster generalized birthday decoding attack exploiting structured parity-check matrices.
- R. Niebuhr. Statistical Decoding of Codes over \(\mathbb{F}_q\). PQCrypto 2011, 2011.Statistical decoding generic attack for q-ary codes.
- A. Nitaj. A new attack on the KMOVcryptosystem. Cryptology ePrint Archive, Paper 2011/427, 2011.Lattice/Diophantine weak-exponent attack on KMOV RSA-like scheme.
- A. Nitaj. Cryptanalysis of NTRU with two public keys. Int. J. Netw. Secur., 2014.Lattice attack on NTRU keys sharing coefficients; weak-key setting.
- Y. Nogami, Y. Takai, T. K. MATSUSHIMA, S. Uehara. Rho Method with Period k on Non -- symmetric Ordinary Pairings of Embedding Degree k -- Especially for Barreto -- Naehrig Curves. 2011 Fifth International Conference on Innovative Mobile and Internet Services in Ubiquitous Computing, 2011.Pollard rho with Frobenius on BN pairing-friendly curves.
- A. Novocin, D. Stehlé, G. Villard. An LLL-reduction algorithm with quasi-linear time complexity: extended abstract. STOC 2011, 2011.Quasi-linear LLL reduction algorithm; v0.3.4 lattice reduction is yes.
- R. Padmavathy, C. Bhagvati. Discrete logarithm problem using index calculus method. Math. Comput. Model., 2012.Title only: index calculus method for finite-field DLP.
- C. C. Peters. Curves, codes, and cryptography. Institutional repository, 2011.Peters thesis: half Edwards arithmetic, half new ISD algorithms and McEliece attack costs.
- T. Prest, P. Zimmermann. Non-linear polynomial selection for the number field sieve. Journal of Symbolic Computation, 2012.Non-linear polynomial selection for the number field sieve.
- T. Saito, S. Yokoyama, T. Kobayashi, G. Yamamoto, 恆. 齋藤, 俊. 横山 et al. Some relations between Semaev's summation polynomials and Stange's elliptic nets. Institutional repository, 2011.Shows summation-polynomial and elliptic-net ECDLP index calculus decompositions equivalent.
- Y. Sakemi, T. Izu, M. Takenaka, M. Yasuda. Solving DLP with Auxiliary Input over an Elliptic Curve Used in TinyTate Library. Information Security Theory and Practice. Security and Privacy of Mobile Devices in Wireless Communication, 2011.Solves DLP with auxiliary input (Cheon) on TinyTate pairing curve; concrete computation.
- B. Schmidt, H. Aribowo, H. Dang. Iterative Sparse Matrix-Vector Multiplication for Integer Factorization on GPUs. Euro-Par (2), 2011.GPU sparse matrix-vector multiplication for NFS linear algebra.
- M. Schneider. Analysis of Gauss-Sieve for Solving the Shortest Vector Problem in Lattices. WALCOM, 2011.Analysis of Gauss-Sieve SVP algorithm.
- M. Schneider. Computing shortest lattice vectors on special hardware. Darmstadt University of Technology, Germany, 2011.Thesis on SVP solvers on special hardware for practical hardness estimates.
- M. Schneider, N. Göttert. Random Sampling for Short Lattice Vectors on Graphics Cards. CHES / TCHES 2011, 2011.GPU random sampling reduction for short lattice vectors; speed-focused SVP.
- M. Schneider. Sieving for Shortest Vectors in Ideal Lattices. AFRICACRYPT 2013, 2013.Ideal-lattice sieving exploiting rotational structure for linear SVP speedup.
- C. Schnorr. Accelerated Slide- and LLL-Reduction. Electron. Colloquium Comput. Complex., 2011.Faster slide and LLL lattice reduction algorithms.
- N. Sendrier. Decoding One Out of Many. PQCrypto 2011, 2011.Decoding one out of many: multi-target collision decoding speedup.
- R. Shaffer. Factorization in the Cloud: Integer Factorization Using F# and Windows Azure. OpenBU (Boston University), 2011.Toy-scale cloud implementation of p-1 and SQUFOF factoring with performance study.
- D. Stehlé. Réseaux Euclidiens : Algorithmes et Cryptographie. 2011.Habilitation on fast LLL and HKZ/BKZ analyses; constructions secondary.
- E. Thomae, C. Wolf. Roots of Square: Cryptanalysis of Double-Layer Square and Square+. PQCrypto 2011, 2011.MinRank attacks break Double-Layer Square and Square+.
- Z. Tian. GGH Cryptosystem and Lattice Reduction Algorithms. MacSphere (McMaster University), 2011.Thesis applying lattice reduction to GGH public bases; low-dimensional experiments.
- S. A. V. Structure computation and discrete logarithms in finite abelian \(p\)-groups. Mathematics of Computation, 2010.Generic DL algorithm in abelian p-groups improving Pohlig-Hellman.
- M. D. Velichka, M. J. J. Jr., A. Stein. Computing Discrete Logarithms in the Jacobian of High-Genus Hyperelliptic Curves over Even Characteristic Finite Fields. Mathematics of Computation, 2014.Improved high-genus hyperelliptic index calculus for Weil descent instances.
- V. Vitse. Attaques algébriques du problème du logarithme discret sur courbes elliptiques. (Algebraic attacks on the elliptic curve discrete logarithm problem). Versailles Saint-Quentin-en-Yvelines University, France, 2011.Thesis: algebraic index calculus/cover-decomposition attacks on ECDLP over extension fields.
- P. Wang, F. Zhang. Computing Elliptic Curve Discrete Logarithms with the Negation Map. Inf. Sci., 2012.Pollard rho with negation map avoiding fruitless cycles.
- Y. Wang. Cryptanalysis of Projected HFE~- Scheme. Journal of Sichuan University, 2011.Algebraic structural attack and weak keys for projected HFE-minus.
- C. Wolf, E. Thomae. Small Linearization: Memory Friendly Solving of Non-Linear Equations over Finite Fields. Cryptology ePrint Archive, Paper 2011/669, 2011.Memory-efficient linearization for solving multivariate quadratic systems.
- L. Xu, D. Lin, J. Zou. ECDLP on GPU. Cryptology ePrint Archive, Paper 2011/146, 2011.Branchless GPU implementation of parallel Pollard rho for ECDLP; attack speed.
- Y. Yang, G. Zeng, Z. Wang, W. Han. Lattice Sieve Architecture based on Different Calculation Platforms. Energy Procedia, 2011.Title: NFS lattice-sieve architecture across computing platforms; likely speed-oriented factoring work.
- T. Yasuda, K. Sakurai. A Security Analysis of Uniformly-Layered Rainbow - Revisiting Sato-Araki's Non-commutative Approach to Ong-Schnorr-Shamir Signature towards PostQuantum Paradigm. PQCrypto 2011, 2011.Security analysis of uniformly-layered Rainbow variant; title only.
- M. Yasuda, T. Izu, T. Shimoyama, J. Kogure. On random walks of Pollard's rho method for the ECDLP on Koblitz curves. Institutional repository, 2011.New rho iteration function for Koblitz curves with experiments.
- M. Yasuda. THE LIFTING PROBLEM FOR THE ECDLP AND THE SELMER RANK. International Journal of Pure and Applied Mathematics, 2011.Argues rank-one lifting attack on ECDLP is inefficient via Selmer rank.
- Q. Zhang. An Improvement to the Number Field Sieve. CoRR, 2011.Faster sieving step for the number field sieve.
- F. Zhang, P. Wang. Speeding Up Elliptic Curve Discrete Logarithm Computations with Point Halving. Designs, Codes and Cryptography, 2013.Pollard rho with point-halving iteration for binary-field ECDLP.
201092 items2010.bib
- S. Arora, R. Ge. Learning Parities with Structured Noise. Computational Complexity Conference 2010, 2010.Arora-Ge algebraic algorithms for LPN/LWE with structured noise.
- R. Avanzi, N. Thériault. A filtering method for the hyperelliptic curve index calculus and its analysis. Advances in Mathematics of Communications, 2010.Harvesting/filtering improvement to hyperelliptic curve index calculus.
- W. Backes, S. Wetzel. BoostReduce - A Framework For Strong Lattice Basis Reduction. Cryptology ePrint Archive, Paper 2010/386, 2010.Parallel framework improving BKZ reduction speed.
- D. D. Bernstein, T. Lange, C. C. Peters. Ball-collision decoding. CRYPTO 2011, 2011.Ball-collision decoding: asymptotically faster ISD against McEliece.
- D. J. Bernstein. Grover vs. McEliece. PQCrypto 2010, 2010.Grover-accelerated information set decoding against McEliece.
- D. J. Bernstein, T. Lange, C. Peters. Smaller decoding exponents: ball-collision decoding. CRYPTO 2011, 2011.Ball-collision decoding with exponentially smaller exponent than Stern.Same work as openalex:W2224672441; counted there, weight 0 here.
- D. J. Bernstein, P. Birkner, T. Lange. Starfish on Strike. LATINCRYPT 2010, 2010.Better ECM curves improving factoring price-performance.
- L. Bettale, J. Faugère, L. Perret. Hybrid Approach : a Tool for Multivariate Cryptography. HAL, 2010.Hybrid exhaustive-search/Groebner algorithm for MQ; attacks TRMS, UOV.
- J. W. Bos, T. Kleinjung, R. Niederhagen, P. Schwabe. ECC2K-130 on Cell CPUs. AFRICACRYPT 2010, 2010.Optimized Pollard rho on Cell SPEs for Certicom ECC2K-130 challenge.
- J. W. Bos, T. Kleinjung, A. K. Lenstra, P. L. Montgomery. Efficient SIMD arithmetic modulo a Mersenne number. IEEE ARITH (Symposium on Computer Arithmetic) 2011, 2011.SIMD Mersenne arithmetic on PS3 cluster; new ECM factoring record.
- J. W. Bos, T. Kleinjung, A. K. Lenstra. On the Use of the Negation Map in the Pollard Rho Method. ANTS (Algorithmic Number Theory Symposium) 2010, 2010.Negation map speedup and fruitless cycles in Pollard rho for ECDLP.
- R. P. Brent. Some integer factorization algorithms using elliptic curves. CoRR, 2010.Second-phase speedup for Lenstra ECM factoring.
- D. R. L. Brown. Lower Bounds for Straight Line Factoring. IACR Cryptology ePrint Archive, 2010.Lower bounds on straight-line factoring algorithms.
- S. Bulygin, A. Petzoldt, J. Buchmann. Towards provable security of the Unbalanced Oil and Vinegar signature scheme under direct attacks. INDOCRYPT 2010, 2010.Argues UOV direct attacks at least as hard as random quadratic systems.
- H. Chen, C. Cheng, S. Hung, Z. Lin. Integer Number Crunching on the Cell Processor. 2010 39th International Conference on Parallel Processing, 2010.Record-speed ECM implementation on Cell processor for NFS cofactorization.
- J. H. Cheon. Discrete Logarithm Problems with Auxiliary Inputs. Journal of Cryptology, 2009.Cheon's algorithm for DLP with auxiliary inputs in generic groups.
- R. Cosset. Factorization with genus 2 curves. Mathematics of Computation, 2009.Genus-2/Kummer-surface ECM variant faster than GMP-ECM.
- D. Dadush, C. Peikert, S. Vempala. Enumerative Algorithms for the Shortest and Closest Lattice Vector Problems in Any Norm via M-Ellipsoid Coverings. FOCS 2011, 2011.Deterministic 2^O(n) SVP/CVP in any norm (arXiv version).
- Ö. Dagdelen, M. Schneider. Parallel Enumeration of Shortest Lattice Vectors. Euro-Par (2), 2010.Parallel SVP enumeration implementation with large speedups.
- S. A. Danilov, I. A. Popovyan. Factorization of RSA-180. Cryptology ePrint Archive, Paper 2010/270, 2010.Factorization of RSA-180 on a few PCs.
- J. Detrey, G. Hanrot, X. Pujol, D. Stehlé. Accelerating Lattice Reduction with FPGAs. LATINCRYPT 2010, 2010.FPGA acceleration of lattice reduction/enumeration.
- C. Diem. On the discrete logarithm problem in class groups of curves. Mathematics of Computation, 2010.Index calculus DLP in class groups of small-genus curves.
- C. Diem. On the discrete logarithm problem in elliptic curves. Compositio Mathematica, 2010.Subexponential index calculus ECDLP over extension fields F_q^n.
- J. Ding. Solving LWE problem with bounded errors in polynomial time. Cryptology ePrint Archive, Paper 2010/558, 2010.Algebraic algorithm solving LWE with bounded errors in O(n^D).
- H. Dinh, C. Moore, A. Russell. The McEliece Cryptosystem Resists Quantum Fourier Sampling Attacks. CRYPTO 2011, 2011.Rules out quantum Fourier sampling attacks on McEliece's hidden subgroup.
- V. Dubois, N. Gama. The Degree of Regularity of HFE Systems. ASIACRYPT 2010, 2010.Degree of regularity bounds for HFE systems governing Groebner attacks.
- A. Enge, P. Gaudry, E. Thomé. L(1/3) Discrete Logarithm Algorithm for Low Degree Curves. Journal of Cryptology, 2010.L(1/3) index calculus for DLP in Jacobians of low-degree curves.Same work as dblp:journals-corr-abs-0905-2177; counted there, weight 0 here.
- J. Fan, D. V. Bailey, L. Batina, T. E. Güneysu, C. Paar, I. M. Verbauwhede. Breaking Elliptic Curve Cryptosystems Using Reconfigurable Hardware. 2010 International Conference on Field Programmable Logic and Applications, 2010.FPGA Pollard rho engine for Certicom ECC2K-130; speed-focused implementation.
- J. Faugère, A. Otmani, L. Perret, J. Tillich. A Distinguisher for High Rate McEliece Cryptosystem -- Extended Abstract. IEEE ITW 2011, 2011.Efficient distinguisher for high-rate Goppa/alternant codes.
- J. Faugère, V. Gauthier, A. Otmani, L. Perret, J. Tillich. A Distinguisher for High Rate McEliece Cryptosystems. IEEE ITW 2011, 2011.Polynomial-time distinguisher for high-rate Goppa and alternant codes.Same work as openalex:W2298011329; counted there, weight 0 here.
- J. Faugère, A. Otmani, L. Perret, J. Tillich. Algebraic Cryptanalysis of McEliece Variants with Compact Keys -- Toward a Complexity Analysis. EUROCRYPT 2010, 2010.Algebraic structural key recovery on compact-key McEliece variants.
- J. Faugère, A. Otmani, L. Perret, J. Tillich. Algebraic Cryptanalysis of McEliece Variants with Compact Keys. EUROCRYPT 2010, 2010.Algebraic key recovery on quasi-cyclic/dyadic compact McEliece variants.Same work as openalex:W2300086762; counted there, weight 0 here.
- J. Faugère, M. S. E. Din, P. Spaenlehauer. Computing loci of rank defects of linear matrices using Gröbner bases and applications to cryptology. ISSAC 2010, 2010.Groebner basis complexity for MinRank modelings with cryptanalytic applications.
- K. Gaj, S. Kwon, P. Baier, P. Kohlbrenner, H. Le, M. Khaleeluddin et al. Area-Time Efficient Implementation of the Elliptic Curve Method of Factoring in Reconfigurable Hardware for Application in the Number Field Sieve. IEEE Transactions on Computers, 2010.FPGA ECM architecture for NFS relation collection; attack hardware speed.
- S. D. Galbraith, J. M. Pollard, R. S. Ruprai. Computing Discrete Logarithms in an Interval. Mathematics of Computation, 2012.Faster low-storage kangaroo/Gaudry-Schost algorithms for interval DLP.
- S. D. Galbraith, R. S. Ruprai. Using Equivalence Classes to Accelerate Solving the Discrete Logarithm Problem in a Short Interval. PKC 2010, 2010.Faster interval DLP using equivalence classes in groups with fast inversion.
- R. P. Gallant. Finding discrete logarithms with a set orbit distinguisher. Journal of Mathematical Cryptology, 2012.Generic DLP faster than square root given a subset distinguisher.
- N. Gama, P. Q. Nguyen, O. Regev. Lattice Enumeration Using Extreme Pruning. EUROCRYPT 2010, 2010.Extreme pruning for lattice enumeration.
- R. Granger. On the Static Diffie-Hellman Problem on Elliptic Curves over Extension Fields. ASIACRYPT 2010, 2010.Oracle-assisted index calculus solving static DH on curves over extension fields.
- K. Hayasaka, T. Takagi. p) of Low Hamming Weight Characteristic. Coding and Cryptology, 2011.Implements and compares NFS variants for prime-field DLP with low-weight primes.
- T. Hayashi, N. Shinohara, L. Wang, S. Matsuo, M. Shirase, T. Takagi. Solving a 676-bit Discrete Logarithm Problem in GF(3^6n). PKC 2010, 2010.Record 676-bit DLP in GF(3^6*71) via FFS; pairing security.
- N. Hirota, T. Izu, N. Kunihiro, K. Ohta. An Evaluation of the Sieving Device YASD for 1024-Bit Integers. 2010 13th International Conference on Network-Based Information Systems, 2010.Cost estimate of YASD NFS sieving hardware for 1024-bit integers.
- T. Izu, J. Kogure, T. Shimoyama. CAIRN: Dedicated Integer Factoring Devices. 2010 13th International Conference on Network-Based Information Systems, 2010.Dedicated FPGA NFS sieving devices with RSA-768 cost estimate.
- T. Izu, M. Takenaka, M. Yasuda. Experimental Results on Cheon's Algorithm. 2010 International Conference on Availability, Reliability and Security, 2010.Experimental evaluation of Cheon's algorithm for DLP with auxiliary inputs.
- O. Johnston. A Discrete Logarithm Attack on Elliptic Curves. Cryptology ePrint Archive, Paper 2010/575, 2010.Claimed improved index calculus for class of curves; extraordinary claim, possibly H.
- A. Joux, V. Vitse. Elliptic Curve Discrete Logarithm Problem over Small Degree Extension Fields. Application to the static Diffie-Hellman problem on \(E(\F_{q^5})\). Journal of Cryptology, 2013.Improved index calculus for ECDLP over small-degree extensions; static DH application.
- M. J. Kakish. The Divide and Search Algorithm: An attack on the Discrete Logarithm Problem. 2010.Proposes new divide-and-search DLP attack for EC and finite fields; unclear rigor.
- J. Kang, O. Yi. On Distinguished Points Method to Implement a Parallel Collision Search Attack on ECDLP. FGIT-SecTech/DRBC, 2010.Distinguished-point parallel collision search for ECDLP.
- K. Karabina, A. Menezes, C. Pomerance, I. E. Shparlinski. On the asymptotic effectiveness of Weil descent attacks. Journal of Mathematical Cryptology, 2010.Asymptotic bounds showing Weil descent rarely beats Pollard rho.
- M. A. Kassem, J. Ding, T. Kleinjung, S. Bulygin, J. A. Buchmann. PWXL: A Parallel Wiedemann-XL Algorithm for Solving Polynomial Equations over GF(2). 2010.Parallel Wiedemann-XL solver; solved 34-variable HFE system in 13 days.
- S. Kim, J. H. Cheon. Parameterized splitting systems for the discrete logarithm. IEEE Transactions on Information Theory, 2010.Parameterized splitting systems: faster DLP for low-Hamming-weight exponents.
- T. Kleinjung, K. Aoki, J. Franke, A. Lenstra, E. Thomé, J. Bos et al. Factorization of a 768-bit RSA modulus. CRYPTO 2010, 2010.Factorization of RSA-768 with NFS.
- T. Kleinjung, L. Nussbaum, E. Thomé. Using a grid platform for solving large sparse linear systems over GF(2). 2010 11th IEEE/ACM International Conference on Grid Computing, 2010.Block Wiedemann linear algebra on Grid'5000 for the RSA-768 record factorization.
- A. Kruppa. Speeding up integer multiplication and factorization. Dissertation (Agence Bibliographique de l'Enseignement Supérieur), 2010.Thesis improving P-1, P+1 stage 2 and ECM factoring.
- N. Kunihiro. Solving Generalized Small Inverse Problems. ACISP 2010, 2010.Coppersmith-style algorithm for generalized small inverse problems; recovers RSA small-key attacks.
- R. Lindner, C. Peikert. Better Key Sizes (and Attacks) for LWE-Based Encryption. CT-RSA 2011, 2011.New decoding attack on LWE plus concrete security and key-size estimates.
- M. G. Madritsch, B. Vallée. Modelling the LLL Algorithm by Sandpiles. LATIN, 2010.Probabilistic dynamics model of LLL; average-case analysis of reduction algorithm.
- S. Maitra, S. Sarkar, S. S. Gupta. Factoring RSA Modulus Using Prime Reconstruction from Random Known Bits. AFRICACRYPT 2010, 2010.Factoring RSA modulus given random known bits of primes (partial key exposure).
- S. Maitra, Y. V. S. Rao, P. Stănică, S. Gangopadhyay. Soluciones no Triviales al Problema de Congruencia de Criba Cúbica: x 3 y 2 z mod p. Computación y Sistemas, 2010.Cubic sieve congruence solutions for index-calculus DLP on special primes.
- D. Micciancio, P. Voulgaris. A deterministic single exponential time algorithm for most lattice problems based on voronoi cell computations. STOC 2010, 2010.Deterministic single-exponential Voronoi-cell algorithm for SVP/CVP.
- J. P. Mihalcik. An Analysis of Algorithms for Solving Discrete Logarithms in Fixed Groups. Calhoun: The Naval Postgraduate School Institutional Archive (Naval Postgraduate School), 2010.Complexity of DL in standardized fixed groups after group-specific precomputation.
- K. Nagao. On the complexity of Decomposition Attack. Cryptology ePrint Archive, Paper 2010/511, 2010.Decomposition attack formulation with provable complexity for curve Jacobians.
- R. Niebuhr, P. Cayrel, S. Bulygin, J. A. Buchmann. Attacking code/lattice-based cryptosystems using Partial Knowledge. 2010.Attack complexity bounds for code/lattice schemes given partial key knowledge.
- R. Niebuhr, P. Cayrel, S. Bulygin, J. A. Buchmann. On lower bounds for Information Set Decoding over F_q. 2010.Lower bounds on ISD cost over F_q for conservative parameters.
- R. Niebuhr, M. Meziani, S. Bulygin, J. Buchmann. Selecting Parameters for Secure McEliece-based Cryptosystems. Int. J. Inf. Sec., 2012.McEliece parameter selection from ISD lower bounds and Lenstra-Verheul model.
- N. Ogura, S. Uchiyama. On Patarin's Attack against the lIC Scheme. IEICE Transactions, 2010.Patarin-style attack on lIC multivariate scheme with complexity estimate.
- A. Osamu, S. Yoshitaka, S. Nobuhide. A study on the probabilistic algorithm to solve the elliptic curve discrete logarithm problem. IEICE Technical Report, 2010.Probabilistic algorithm for ECDLP; title only.
- R. Padmavathy, C. Bhagvati. Ephemeral key recovery using index calculus method. Journal of Discrete Mathematical Sciences and Cryptography, 2010.Index-calculus variant for prime-field DLP with smooth p-1.
- R. Padmavathy, C. Bhagvati. Solving the Discrete Logarithm Problem for Ephemeral Keys in Chang and Chang Password Key Exchange Protocol. J. Inf. Process. Syst., 2010.Index-calculus variant for individual logs of ephemeral keys in Z_p*.
- J. Park, 박정열. An efficient construction of a CNF for a system of quadratic equations and its application to an algebraic attack against the NTRU cryptosystem = 이차식으로 이루어진 계를 위한 CNF의 효율적인 생성 및 이를 이용한 NTRU 암호 시스템에 대한 공격. Dissertation (institution not recorded), 2010.Algebraic SAT-based attack on NTRU via CNF encoding; title only.
- A. Petzoldt, S. Bulygin, J. Buchmann. Selecting Parameters for the Rainbow Signature Scheme - Extended Version -. PQCrypto 2010, 2010.Security model and parameter selection for Rainbow against known attacks.Same work as dblp:conf-pqcrypto-PetzoldtBB10; counted there, weight 0 here.
- A. Petzoldt, S. Bulygin, J. Buchmann. Selecting Parameters for the Rainbow Signature Scheme. PQCrypto 2010, 2010.Rainbow parameter selection against known attacks.
- J. Přemysl. Integral minimalisations improvement for Murphy's polynomial selection algorithm. Analele Științifice ale Universității ``Ovidius'' Constanța. Seria: Matematică, 2010.Improved Murphy polynomial selection for GNFS.
- A. M. S. Rahma, Q. M. Hussein. A New Attack on NTRU Public Key Cryptosystem Depend on Using Public Key and Public Information. Engineering and Technology Journal, 2010.Combinatorial NTRU key recovery from public key and weight info; expensive, low tier.
- M. Rückert, M. Schneider. Estimating the Security of Lattice-based Cryptosystems. Cryptology ePrint Archive, Paper 2010/137, 2010.Framework mapping LWE/SIS parameters to bit-security estimates.
- S. Sarkar, S. S. Gupta, S. Maitra. Partial Key Exposure Attack on RSA - Improvements for Limited Lattice Dimensions. INDOCRYPT 2010, 2010.Partial key exposure lattice attack on RSA, improved for limited dimensions.
- S. Sarkar, S. Maitra. Some Applications of Lattice Based Root Finding Techniques. Advances in Mathematics of Communications, 2010.Coppersmith-style factoring of RSA moduli given partial information.
- M. Schneider, J. Buchmann. Extended Lattice Reduction Experiments Using the BKZ Algorithm. Sicherheit, 2010.Experimental BKZ runtime/quality study informing practical cost.
- A. Sutherland. Structure computation and discrete logarithms in finite abelian 𝑝-groups. Mathematics of Computation, 2010.Generic DLP algorithm in abelian p-groups improving Pohlig-Hellman.
- J. Tordable. MapReduce for Integer Factorization. CoRR, 2010.Quadratic sieve implemented on MapReduce.
- A. I. Vera. A Note on Integer Factorization Using Lattices. CoRR, 2010.Effective analysis of Schnorr's lattice-based factoring algorithm.
- M. Wang, H. Zhang. A New Method of Constructing a Lattice Basis and Its Applications to Cryptanalyse Short Exponent RSA. Mathematical Problems in Engineering, 2010.New lattice basis construction extending Boneh-Durfee short-exponent RSA attack.
- X. Wang, M. Liu, C. Tian, J. Bi. Improved Nguyen-Vidick Heuristic Sieve Algorithm for Shortest Vector Problem. ACM CCS 2011, 2011.Two-level heuristic sieve improving Nguyen-Vidick SVP complexity.
- R. S. Williams. Cubic Polynomials in the Number Field Sieve. Dissertation (institution not recorded), 2010.Constructing cubic NFS polynomial pairs with smaller coefficients via LLL.
- R. V. Yampolskiy. Application of bio-inspired algorithm to the problem of integer factorisation. International Journal of Bio-Inspired Computation, 2010.Bio-inspired heuristic factoring algorithm (title only); weak but on-problem.
- L. T. Yang, L. Xu, S. Yeo, S. Hussain. An integrated parallel GNFS algorithm for integer factorization based on Linbox Montgomery block Lanczos method over GF(2). Computers & Mathematics with Applications, 2010.Parallel GNFS with block Lanczos for factoring speed.
- M. Yasuda. The Elliptic Curve Discrete Logarithm Problems over the p-adic Field and Formal Groups. Information Security, Practice and Experience, 2010.ECDLP over p-adic fields via formal groups (title only).
- P. Zajac. On the use of the lattice sieve in the 3D NFS. Tatra Mountains Mathematical Publications, 2010.Lattice vs line sieving in 3D NFS for DLP in degree-6 fields.
- R. Zimmermann, T. E. Güneysu, C. Paar. High-Performance Integer Factoring with Reconfigurable Devices. 2010 International Conference on Field Programmable Logic and Applications, 2010.High-throughput FPGA ECM for NFS cofactorization.
- B. Zralek. A deterministic version of Pollard's p-1 algorithm. Mathematics of Computation, 2010.Deterministic Pollard p-1 and factoring from totient oracle.
- Χ. Μπακογιάννης. Implementation of the integer factorization algorithm number field sieve (NFS) on parallel computers. Νημερτής, 2010.Thesis implementing NFS on parallel computers.
- 恆. 齋藤, 鉄. 小林, 剛. 山本, 昌. 金子, T. Saito, T. Kobayashi et al. ECDLPへのGeneralized Weil Descent Attack の評価. Institutional repository, 2010.Improves and evaluates Diem decomposition attack on ECDLP over extension fields.
200975 items2009.bib
- P. I. A. Discrete logarithm problem in subgroups of prime order. Prikladnaya Diskretnaya Matematika, 2009.Modified Adleman index calculus for DL in prime-order subgroups.
- M. Aleksander, G. Litawa, V. Karpinskyi. Distributed computing system which solve an elliptic curve discrete logarithm problem. International Conference on Experience of Designing and Applications of CAD Systems in Microelectronics, 2009.Distributed CPU/FPGA parallel Pollard rho system for ECDLP with time estimates.
- K. Aoki, H. R. Ueda. Bucket Sieving. IEICE Transactions, 2009.Cache-efficient bucket sieving for NFS.
- Y. Aono. A New Lattice Construction for Partial Key Exposure Attack for RSA. PKC 2009, 2009.New Coppersmith lattice construction for RSA partial key exposure.
- Y. Aono. Simplification of the Lattice Based Attack of Boneh and Durfee for RSA Cryptoanalysis. ASCM, 2009.Simplified lattice construction for Boneh-Durfee small private exponent RSA attack.
- W. Backes, S. Wetzel. Parallel Lattice Basis Reduction Using a Multi-threaded Schnorr-Euchner LLL Algorithm. Euro-Par, 2009.Parallel Schnorr-Euchner LLL; v0.3.4 counts faster LLL variants.
- D. V. Bailey, L. Batina, D. J. Bernstein, P. Birkner, J. W. Bos, H. Chen et al. Breaking ECC2K-130. Cryptology ePrint Archive, Paper 2009/541, 2009.Cost analysis and implementations for Pollard rho on ECC2K-130; computation not completed.
- D. V. Bailey, B. Baldwin, L. Batina, D. J. Bernstein, P. Birkner, J. W. Bos et al. The Certicom Challenges ECC2-X. Cryptology ePrint Archive, Paper 2009/466, 2009.Cost analysis of Pollard rho on Certicom binary challenges across platforms.
- R. Balasubramanian, G. Garg, C. E. V. Madhavan. Analysis of the Lattice Sieve. Number Theory and Applications, 2009.Analysis of line vs lattice sieving in NFS.
- L. Bettale, J. Faugère, L. Perret. Hybrid approach for solving multivariate systems over finite fields. Journal of Mathematical Cryptology, 2009.Hybrid Groebner/exhaustive MQ solving; breaks TRMS and UOV parameters.
- J. Blömer, S. Naewe. Sampling methods for shortest vectors, closest vectors and successive minima. ICALP 2007, 2007.Sampling (AKS-type) algorithms for SVP, CVP and successive minima.
- J. W. Bos, M. E. Kaihara, T. Kleinjung, A. K. Lenstra, P. L. Montgomery. On the Security of 1024-bit RSA and 160-bit Elliptic Curve Cryptography. Cryptology ePrint Archive, Paper 2009/389, 2009.Risk assessment of 1024-bit RSA and 160-bit ECC from record computation data.
- C. Bouillaguet, P. Fouque, A. Joux, J. Treger. A Family of Weak Keys in HFE (and the Corresponding Practical Key-Recovery). Journal of Mathematical Cryptology, 2012.Weak HFE keys with ground-field coefficients; practical key recovery via IP.
- G. Bourgeois, J. Faugère. Algebraic attack on NTRU using Witt vectors and Gröbner bases. Journal of Mathematical Cryptology, 2009.Witt-vector Groebner algebraic attack on NTRU with complexity analysis.
- E. Brier, D. Naccache, M. Tibouchi. Factoring Unbalanced Moduli with Known Bits. ICISC 2009, 2009.LLL/Coppersmith factoring of unbalanced RSA moduli given known bits of p.
- S. Bu, H. Zhang. Research on the Method of Choosing Parameters for NTRU. 2009 International Conference on Multimedia Information Networking and Security, 2009.NTRU parameter selection from analysis of known attacks; weak.
- J. Buchmann, J. Ding, M. S. E. Mohamed, W. S. A. E. Mohamed. MutantXL: Solving Multivariate Polynomial Equations for Cryptanalysis. Symmetric Cryptography, 2009.MutantXL polynomial system solver benchmarked on HFE versus F4.
- P. Bulens. Mathematical and physical concerns regarding cryptographic key length. Catholic University of Louvain, Louvain-la-Neuve, Belgium, 2009.Thesis on key-length models with hardware ECDLP attack cost data point.
- M. G. C. Polynomial interpolation of the \(k\)-th root of the discrete logarithm. Algebraic Informatics, 2009.Polynomial interpolation lower bounds for DL-related function; restricted-model hardness.
- M. Chinnici, S. Cuomo, M. Laporta, A. Pizzirani, S. Migliori. CUDA based implementation of parallelized Pollard’s Rho algorithm for ECDLP. CiiT international journal of data mining and knowledge engineering, 2015.GPU parallel Pollard rho implementation for ECDLP, speed-focused.
- D. Claus. On arithmetic and the discrete logarithm problem in class groups of curves. Habilitation thesis (Claus Diem, 2009), 2009.Diem's work on index calculus DLP in class groups of curves; title only.
- A. Enge, P. Gaudry, E. Thomé. An \(L (1/3)\) Discrete Logarithm Algorithm for Low Degree Curves. Journal of Cryptology, 2011.L(1/3) index calculus for Jacobians of low-degree plane curves.
- R. ERRA, C. GRENIER. The Fermat factorization method revisited. Cryptology ePrint Archive, Paper 2009/318, 2009.Coppersmith-based Fermat factorization of RSA moduli with close primes.
- J. Faugère, L. Perret. On the Security of UOV. Cryptology ePrint Archive, Paper 2009/483, 2009.Hybrid Groebner basis forgery attack on UOV parameters.
- M. Finiasz, N. Sendrier. Security Bounds for the Design of Code-based Cryptosystems. ASIACRYPT 2009, 2009.Lower bounds on idealized ISD work factors for code-based parameter selection.
- G. Frey. On Bilinear Structures on Divisor Class Groups. Annales mathématiques Blaise Pascal, 2009.Pairing-based transfer of curve DLP to Brauer groups; structural reduction theory.
- S. D. Galbraith⋆, R. S. Ruprai. An Improvement to the Gaudry-Schost Algorithm for Multidimensional Discrete Logarithm Problems. IMA Cryptography and Coding (IMACC) 2009, 2009.Improved Gaudry-Schost algorithm for multidimensional DLP.
- P. Gaudry. Index calculus for abelian varieties of small dimension and the elliptic curve discrete logarithm problem. Journal of Symbolic Computation, 2009.Index calculus on abelian varieties; ECDLP over small extensions faster than rho.Same work as eprint:2004-073; counted there, weight 0 here.
- S. Gupta, G. Paul. Revisiting Fermat's Factorization for the RSA Modulus. CoRR, 2009.Analysis and variants of Fermat factorization for RSA moduli.
- D. H., B. M. Generalized Jacobian and discrete logarithm problem on elliptic curves. Iranian Journal of Mathematical Sciences and Informatics, 2009.Reduces ECDLP on E[n] to F_q^* DLP via generalized Jacobian.
- G. G. H., S. M. K. M., P. R., R. Mario. What is the inverse of repeated square and multiply algorithm? Colloquium Mathematicum, 2009.Probabilistic inversion of square-and-multiply to compute prime-field discrete logs.
- J. Hermans, M. Schneider, J. Buchmann, F. Vercauteren, B. Preneel. Parallel Shortest Lattice Vector Enumeration on Graphics Cards. AFRICACRYPT 2010, 2010.Parallel GPU lattice enumeration for SVP with large speedups.
- M. J. Hinek, C. C. Y. Lam. Common Modulus Attacks on Small Private Exponent RSA and Some Fast Variants (in Practice). Journal of Mathematical Cryptology, 2010.Common-modulus small-exponent RSA attacks (continued fraction, lattice) and variants.
- P. S. Hirschhorn, J. Hoffstein, N. Howgrave-Graham, W. Whyte. Choosing NTRUEncrypt Parameters in Light of Combined Lattice Reduction and MITM Approaches. ACNS 2009, 2009.NTRUEncrypt parameter selection against hybrid lattice/MITM attack.
- T. Iijima, F. Momose, J. Chao. Classification of Elliptic/hyperelliptic Curves with Weak Coverings against GHS Attack without Isogeny Condition. Cryptology ePrint Archive, Paper 2009/613, 2009.Classifies curves with weak coverings vulnerable to GHS Weil descent.
- T. Jager, J. Schwenk. On the Analysis of Cryptographic Assumptions in the Generic Ring Model. ASIACRYPT 2009, 2009.Generic ring model limits: Jacobi symbol equivalent to factoring generically.
- D. Jao, K. Yoshida. Boneh-Boyen signatures and the Strong Diffie-Hellman problem. Pairing 2009, 2009.BB forgery equivalent to q-SDH; Cheon-type key recovery faster than rho on pairing curves.
- J. Kim, 김진수. (A) hybrid attack using splitting systems against NTRU = NTRU에 대한 splitting system을 이용한 hybrid 공격. Dissertation (institution not recorded), 2009.Hybrid attack on NTRU using splitting systems; title only.
- M. Kim, J. H. Cheon, J. Hong. Subset-Restricted Random Walks for Pollard rho Method on \({\mathbf{F}_{p^m}}\). PKC 2009, 2009.Subset-restricted random walks improving Pollard rho over F_p^m.
- A. I. Kruppa. A Software Implementation of ECM for NFS. HAL, 2009.High-throughput ECM for NFS cofactorization.
- C. Liu, C. Yang. Factoring RSA modulo N with high bits of p known revisited. 2009 IEEE International Symposium on IT in Medicine & Education, 2009.Improved bounds for factoring RSA with known high bits of p and small d.
- D. Lubicz, T. Sirvent. On Generic Groups and Related Bilinear Problems. Cryptology and Information Security Series, 2009.Generic group model analysis of bilinear DL-related problems.
- S. Maitra, Y. V. S. Rao, P. Stănică, S. Gangopadhyay. Nontrivial Solutions to the Cubic Sieve Congruence Problem: x³ = y²z mod p. Computación y Sistemas, 2009.Finding cubic sieve congruence solutions for index-calculus DLP; weak prime classes.
- S. Maitra, Y. V. S. Rao, P. Stănică, S. Gangopadhyay. Nontrivial Solutions to the Cubic Sieve Congruence Problem. Computación y Sistemas, 2009.Solving cubic sieve congruences for index calculus; weak prime classes.Same work as openalex:W2116805499; counted there, weight 0 here.
- D. Maslov, J. Mathew, D. Cheung, D. K. Pradhan. An O(m 2 )-depth quantum algorithm for the elliptic curve discrete logarithm problem over GF(2 m ) a. Quantum Information & Computation, 2009.O(m^2)-depth quantum circuit for binary-field ECDLP.
- D. Meintanis, I. Papaefstathiou. A module-based partial reconfiguration design for solving sparse linear systems over GF(2). 2009 International Conference on Field-Programmable Technology, 2009.FPGA design speeding NFS linear algebra (block Wiedemann) over GF(2).
- D. Micciancio, P. Voulgaris. Faster Exponential Time Algorithms for the Shortest Vector Problem. SODA 2010, 2010.Faster exponential-time exact SVP algorithms (ListSieve, improved AKS).
- F. Momose, J. Chao. Elliptic curves with weak coverings over cubic extensions of finite fields with odd characteristics. Journal of the Ramanujan Mathematical Society, 2009.Classifies elliptic curves over cubic extensions weak under GHS Weil descent.
- R. Montenegro, P. Tetali. How long does it take to catch a wild kangaroo? STOC 2009, 2009.Rigorous runtime analysis of Pollard kangaroo for interval DLP.
- I. Morel, D. Stehlé, G. Villard. H-LLL: using householder inside LLL. ISSAC 2009, 2009.H-LLL: Householder-based floating-point LLL variant.
- P. Q. Nguyen, D. Stehlé. An LLL Algorithm with Quadratic Complexity. SIAM Journal on Computing, 2009.L2 floating-point LLL with quadratic complexity.
- N. Ogura, S. Uchiyama. Cryptanalysis of the Birational Permutation Signature Scheme over a Non-commutative Ring. JSIAM Letters, 2010.Structural key-recovery on non-commutative birational scheme and a class of Rainbow-type multivariate schemes.
- R. Padmavathy, C. Bhagvati. Improved random method using smooth numbers over Zp. International journal of applied mathematics and computation, 2009.Improved index calculus smoothness step for prime-field DLP, experimental speedup.
- R. Padmavathy, C. Bhagvati. Methods to Solve Discrete Logarithm Problem for Ephemeral Keys. 2009 International Conference on Advances in Recent Technologies in Communication and Computing, 2009.Index-calculus variant for prime-field DLP with smooth p-1.
- R. Padmavathy, C. Bhagvati. Performance analysis of index calculus method. Journal of Discrete Mathematical Sciences and Cryptography, 2009.Improved random and partial linear sieve index calculus for prime-field DLP.
- C. Peters. Information-set decoding for linear codes over Fq. Cryptology ePrint Archive, Paper 2009/589, 2009.Generalizes Stern ISD to codes over Fq with complexity analysis.
- X. Pujol, D. Stehle. Solving the Shortest Lattice Vector Problem in Time 2^2.465n. Cryptology ePrint Archive, Paper 2009/605, 2009.Faster provable SVP algorithm, time 2^2.465n.
- S. Santanu, M. Subhamoy. Partial key exposure attacks on RSA and its variant by guessing a few bits of one of the prime factors. Bulletin of the Korean Mathematical Society, 2009.Lattice partial key exposure attacks on RSA and Sun-Yang variant.
- S. Sarkar, S. Maitra. Further results on implicit factoring in polynomial time. Advances in Mathematics of Communications, 2009.Implicit factoring of RSA moduli with shared bits via lattices.
- T. Satoh. On Generalization of Cheon's Algorithm. Cryptology ePrint Archive, Paper 2009/058, 2009.Generalization of Cheon's strong Diffie-Hellman algorithm to higher-degree divisors.
- A. Schmidt. Quantum Algorithms for many-to-one Functions to Solve the Regulator and the Principal Ideal Problem. CoRR, 2009.Quantum algorithms for regulator and principal ideal problem; PIP underlies ideal-lattice attacks.
- M. Schneider. Probabilistic Analysis of LLL Reduced Bases. Algorithms and Number Theory, 2009.Probabilistic analysis of LLL output quality; average-case reduction analysis.
- D. Stehlé. Floating-Point LLL: Theoretical and Practical Aspects. The LLL Algorithm, 2009.Floating-point LLL theory and practice.
- V. G. Umana, G. Leander. Practical Key Recovery Attacks On Two McEliece Variants. Cryptology ePrint Archive, Paper 2009/509, 2009.Structural key recovery on quasi-cyclic and quasi-dyadic McEliece variants.
- B. O. V. About sieving methods in lattice algorithms of number fields. Trudy Instituta Matematiki, 2009.Discusses line, lattice and continued-fraction sieving in NFS.
- B. O. V. On the construction of a system of linear equations in the number field sieve algorithm for solving the discrete logarithm problem. Vestsi Natsyyanal'naĭ Akadèmii Navuk Belarusi. Seryya Fizika-Matèmatychnykh Navuk, 2009.Title only: linear-system construction step of NFS for finite-field DLP.
- B. Vallée, A. Vera. Probabilistic Analyses of Lattice Reduction Algorithms. The LLL Algorithm, 2009.Probabilistic analysis of LLL/Gauss reduction; v0.3.4 counts average-case reduction analyses.
- B. S. Verkhov. Integer Factorization: Solution via Algorithm for Constrained Discrete Logarithm Problem. Journal of Computer Science, 2009.Factoring algorithm via constrained DLP, O(n^(1/3)); weak but an algorithm paper.
- R. Wang. Research on Parameters Choosing Method for NTRU. Jisuanji gongcheng, 2009.Analyses known NTRU attacks to derive a parameter selection method.
- C. Wieschebrink. Cryptanalysis of the Niederreiter Public Key Scheme Based on GRS Subcodes. PQCrypto 2010, 2010.Structural polynomial-time key recovery on GRS-subcode Niederreiter.
- G. Xu. Short vectors,the GLV method and discrete logarithms. Journal of Lanzhou University, 2009.Short vectors for GLV and an alternative ECDLP method; mixed content.
- P. Zajac. Discrete Logarithms and Degree Six Number Field Sieve: A practical approach. Medical Entomology and Zoology, 2009.Title only: practical degree-six NFS for discrete logarithms.
- H. Zhou, P. Luo, D. Wang, Y. Dai. Remarks on Cryptanalysis of RSA Using Lattice Basis Reduction. 2009 WRI World Congress on Computer Science and Information Engineering, 2009.Title only: remarks on lattice-reduction cryptanalysis of RSA.
- H. Zhou, P. Luo, D. Wang, Y. Dai. Remarks on the bounds for cryptanalysis of low private key RSA. Progress in Natural Science, 2009.Disputes Boneh-Durfee d<N^0.292 bound analysis, claims ~N^0.277.
- 김진수. NTRU에 대한 Splitting system을 이용한 Hybrid 공격 : A Hybrid Attack Using Splitting Systems Against NTRU. 2009.Hybrid attack on NTRU using splitting systems.
200853 items2008.bib
- M. Ajtai. Optimal lower bounds for the Korkine-Zolotareff parameters of a lattice and for Schnorr's algorithm for the shortest vector problem. Theory Comput., 2008.Optimal lower bounds on Schnorr block-reduction approximation.
- S. Bai, R. P. Brent. On the Efficiency of Pollard's Rho Method for Discrete Logarithms. CATS, 2008.Analysis of Pollard rho iteration efficiency for discrete logs.
- D. J. Bernstein, T. Lange, C. Peters. Attacking and defending the McEliece cryptosystem. PQCrypto 2008, 2008.Improved Stern ISD against original McEliece parameters; new parameters.
- D. J. Bernstein, T. Chen, C. Cheng, T. Lange, B. Yang. ECM on Graphics Cards. EUROCRYPT 2009, 2009.Fast GPU ECM implementation for factoring.
- U. O. Bristol, N. P. Smart, N. P. Smart. December 2000 CSTR-00-019. 2008.Linear bit conditions on char-2 x-coordinates affect DH and distinguished-point rho.
- J. Buchmann, R. Lindner, M. Rückert, M. Schneider. Explicit hard instances of the shortest vector problem. PQCrypto 2008, 2008.Hard SVP instance generator and SVP challenge for benchmarking lattice reduction and parameter selection.
- J. Buchmann, R. Lindner. Secure Parameters for SWIFFT. INDOCRYPT 2009, 2009.Concrete security estimates and parameter generation for SWIFFT ideal-SIS.
- J. H. Cheon, J. Hong, M. Kim. Speeding Up the Pollard Rho Method on Prime Fields. ASIACRYPT 2008, 2008.Tag-tracing speedup of Pollard rho for DLP in prime fields.
- E. Croot, A. Granville, R. Pemantle, P. Tetali. Running Time Predictions for Factoring Algorithms. ANTS (Algorithmic Number Theory Symposium) 2008, 2008.Running-time analysis of random-squares-type factoring algorithms.
- C. Diem, E. Thomé. Index Calculus in Class Groups of Non-hyperelliptic Curves of Genus Three. Journal of Cryptology, 2007.Index calculus for DLP in genus-3 non-hyperelliptic curve class groups.
- J. Ding, D. Schmidt, F. Werner. Algebraic Attack on HFE Revisited. ISC (Information Security Conference) 2008, 2008.Algebraic attack on HFE revisited.
- J. Ding, B. Yang, O. Chen, M. Chen, D. Cheng. New Differential-Algebraic Attacks and Reparametrization of Rainbow. ACNS 2008, 2008.Differential-algebraic attacks reduce Rainbow-like schemes below security; proposes reparametrization.
- W. Ekkelkamp. Predicting the Sieving Effort for the Number Field Sieve. ANTS (Algorithmic Number Theory Symposium) 2008, 2008.Predicting NFS sieving effort.
- J. Faugère, F. Levy-dit-Vehel, L. Perret. Cryptanalysis of MinRank. CRYPTO 2008, 2008.Groebner-basis cryptanalysis of MinRank.
- F. Fontein. Groups from cyclic infrastructures and Pohlig-Hellman in certain infrastructures. Advances in Mathematics of Communications, 2008.Pohlig-Hellman adapted to cyclic infrastructures from function fields; rules out weak infrastructure DLP groups.
- N. Gama, P. Q. Nguyễn. Finding short lattice vectors within mordell's inequality. STOC 2008, 2008.Slide reduction: blockwise reduction achieving Mordell-inequality approximation.
- N. Gama, P. Q. Nguyen. Predicting Lattice Reduction. EUROCRYPT 2006, 2006.Experimental prediction of lattice reduction quality; foundational cost model.
- Z. Golebiewski, K. Majcher, F. Zagorski, M. Zawada. Practical Attacks on HB and HB+ Protocols. WISTP, 2011.Passive attack on HB solving LPN with linearly many samples for practical parameters.
- T. Güneysu, C. Paar, J. Pelzl. Special-Purpose Hardware for Solving the Elliptic Curve Discrete Logarithm Problem. ACM Transactions on Reconfigurable Technology and Systems, 2008.FPGA parallel Pollard rho architecture with runtime estimates for standard key sizes.
- W. H. Linear Cryptanalysis of RAINBOW. Acta Mathematicae Applicatae Sinica English Series, 2008.Title only: linear-algebra cryptanalysis of Rainbow.
- G. Hanrot, D. Stehlé. Worst-Case Hermite-Korkine-Zolotarev Reduced Lattice Bases. arXiv, 2008.Worst-case HKZ bases show Kannan enumeration complexity bound is tight.
- N. Hashizume, F. Momose, J. Chao. On Implementation of GHS Attack against Elliptic Curve Cryptosystems over Cubic Extension Fields of Odd Characteristics. Cryptology ePrint Archive, Paper 2008/215, 2008.Algorithms implementing GHS descent for curves over cubic odd-char extensions.
- T. Jager, J. Schwenk. The Generic Hardness of Subset Membership Problems under the Factoring Assumption. Cryptology ePrint Archive, Paper 2008/482, 2008.Subset membership problems generically equivalent to factoring in generic ring model.
- A. Joux, R. Lercier, D. Naccache, E. Thomé. Oracle-Assisted Static Diffie-Hellman Is Easier Than Discrete Logarithms. IMA Cryptography and Coding (IMACC) 2009, 2009.Oracle-assisted static DH algorithm in finite fields via NFS/FFS cores.
- J. H. Kim, R. Montenegro, Y. Peres, P. Tetali. A Birthday Paradox for Markov Chains, with an Optimal Bound for Collision in the Pollard Rho Algorithm for Discrete Logarithm. ANTS (Algorithmic Number Theory Symposium) 2008, 2008.Optimal collision-time bound for Pollard rho DLP via Markov-chain birthday paradox.
- S. Kim, J. H. Cheon. A Parameterized Splitting System and Its Application to the Discrete Logarithm Problem with Low Hamming Weight Product Exponents. PKC 2008, 2008.Splitting-system algorithm for DLP with low Hamming weight product exponents.
- M. P. L., K. Alexander. Improved stage 2 to P \(\pm 1\) factoring algorithms. ANTS (Algorithmic Number Theory Symposium) 2008, 2008.Improved stage 2 for P-1 and P+1 factoring.Same work as dblp:conf-ants-MontgomeryK08; counted there, weight 0 here.
- A. Lavasani. On general multi-quadratic function field extensions in the GHS attack. Institutional repository, 2008.Thesis on GHS Weil descent with general quadratic extensions and implementation.
- C. Ludwig. Praktikable Gitterbasisreduktion mittels Sampling. Technischen Universität Darmstadt, 2008.Practical sampling reduction for lattice basis reduction, plus quantum variant.
- P. Majkowski, M. Rawski, T. Wojciechowski, Z. Kotulski, M. Wojtyński. Heterogenic Distributed System for Cryptanalysis of Elliptic Curve Based Cryptosystems. 2008 19th International Conference on Systems Engineering, 2008.Hybrid CPU/FPGA distributed rho system with Certicom challenge estimates.
- S. D. Miller, R. Venkatesan. Non-degeneracy of Pollard Rho Collisions. CoRR, 2008.Rigorous analysis of Pollard rho collisions for generic DLP.
- M. S. E. Mohamed, J. Ding, J. Buchmann. Algebraic Cryptanalysis of MQQ Public Key Cryptosystem by MutantXL. CANS 2009, 2009.Breaks MQQ by solving MQ systems with MutantXL.
- P. L. Montgomery, A. Kruppa. Improved Stage 2 to P±1 Factoring Algorithms. ANTS (Algorithmic Number Theory Symposium) 2008, 2008.Improved stage 2 for P-1 and P+1 factoring.
- S. Murphy, M. B. Paterson. A geometric view of cryptographic equation solving. Journal of Mathematical Cryptology, 2008.Geometric view of XL/relinearisation and new GeometricXL solving algorithm.
- P. Q. Nguyen, T. Vidick. Sieve algorithms for the shortest vector problem are practical. Journal of Mathematical Cryptology, 2008.Heuristic practical AKS-style sieve for SVP with implementation.
- A. Otmani, J. Tillich, L. Dallot. Cryptanalysis of Two McEliece Cryptosystems Based on Quasi-Cyclic Codes. Math. Comput. Sci., 2010.Structural attacks on two quasi-cyclic McEliece variants.
- R. Overbeck. A Multiple Birthday Attack on NTRU. Proceedings of the International Conference on Security and Cryptography, 2008.Multiple birthday combinatorial attack on NTRU with reduced memory.
- R. Overbeck. Reducing Memory Requirements for Combinatorial Attacks on NTRU via Multiple Birthdays. ICETE (Selected Papers), 2008.Memory reduction for combinatorial meet-in-the-middle attacks on NTRU.
- G. Pataki, M. K. Tural. On sublattice determinants in reduced bases. arXiv, 2008.Analysis of LLL output quality: sublattice determinant bounds in reduced bases.
- X. Pujol, D. Stehlé. Rigorous and Efficient Short Lattice Vectors Enumeration. ASIACRYPT 2008, 2008.Rigorous efficient lattice enumeration for short vectors.
- I. Rocquencourt, L. Minder, E. Berkeley. Cryptanalysis of the McEliece cryptosystem over hyperelliptic codes. 2008.Structure recovery of hyperelliptic AG codes breaking McEliece variant.
- S. K. Sanadhya, P. Sarkar. Searching for Low Weight Codewords in Linear Binary Codes. Cryptology ePrint Archive, Paper 2008/269, 2008.Improved low-weight codeword search algorithms for binary codes.
- S. Sarkar, S. Maitra, S. Sarkar. RSA Cryptanalysis with Increased Bounds on the Secret Exponent using Less Lattice Dimension. Cryptology ePrint Archive, Paper 2008/315, 2008.Coppersmith/LLL small-private-exponent RSA attack extended with MSB knowledge.
- R. Shipsey, C. Swart. Elliptic divisibility sequences and the elliptic curve discrete logarithm problem. Cryptology ePrint Archive, Paper 2008/444, 2008.Elliptic divisibility sequences solve ECDLP when #E=q-1; MOV alternative.
- J. H. Silverman. Lifting and Elliptic Curve Discrete Logarithms. Selected Areas in Cryptography (SAC) 2008, 2008.Analysis of lifting approaches to ECDLP and obstructions to them.
- B. A. Smith. Isogenies and the Discrete Logarithm Problem in Jacobians of Genus 3 Hyperelliptic Curves. EUROCRYPT 2008, 2008.Isogenies move genus-3 hyperelliptic DLP to easier non-hyperelliptic Jacobians.
- H. Sun, M. Wu, R. Steinfeld, J. Guo, H. Wang. Cryptanalysis of Short Exponent RSA with Primes Sharing Least Significant Bits. CANS 2008, 2008.Corrected and extended lattice attack on short-exponent RSA with primes sharing LSBs.
- A. V., J. P. S. Some sieving algorithms for lattice problems. FSTTCS, 2008.AKS-style sieving algorithms for SAP, successive minima and restricted CVP.
- Z. Velikova. A Lattice Attack on the McEliece Public Key Cryptosystem: Lattice Basis Reduction Algorithms in Cryptography. 2008.Lattice-reduction decoding attack on McEliece; fails beyond length 127.
- L. T. Yang, L. Xu, J. H. Park. A Parallel GNFS Algorithm with the Improved Linbox Montgomery Block Lanczos Method for Integer Factorization. 2008 International Conference on Information Security and Assurance (isa 2008), 2008.Improved block Lanczos in parallel GNFS.
- P. Zajac. Remarks on the NFS complexity. Cryptology ePrint Archive, Paper 2008/064, 2008.Practical NFS sieving improvements for DLP in F_p^6 arising from XTR.
- X. Zhang. Security Analysis of ECC_(p-112) Cryptosystem. Jisuanji gongcheng, 2008.Special-purpose parallel rho machine design and cost estimate for ECCp-112.
- 정명인. Meet-in-the-Middle Attack for NTRU with secret key of product form. Institutional repository, 2008.Meet-in-the-middle attack on NTRU with product-form keys; title only.
200751 items2007.bib
- J. Antoine, L. Reynald. Algorithms to solve the finite field discrete logarithm problem. Nouvelles méthodes mathématiques en cryptographie (SMF Journée Annuelle 2007), 2007.Algorithms for finite field DLP in full generality.
- K. Aoki, J. Franke, T. Kleinjung, A. Lenstra, D. A. Osvik. A kilobit special number field sieve factorization. ASIACRYPT 2007, 2007.Kilobit SNFS factorization of 2^1039-1 with resource reporting.
- K. Aoki, T. Shimoyama, H. Ueda. Experiments on the Linear Algebra Step in the Number Field Sieve. IWSEC 2007, 2007.Experiments on NFS linear algebra step.
- W. Backes, S. Wetzel. An Efficient LLL Gram Using Buffered Transformations. CASC, 2007.Faster LLL Gram variant via buffered transformations; lattice reduction speed.
- J. Belding. A Weil pairing on the \(p\)-torsion of ordinary elliptic curves over the dual numbers of \(K\). arXiv, 2007.p-torsion Weil pairing over dual numbers recasts Semaev-Ruck anomalous-curve DLP attacks.
- J. Belding. The Discrete Logarithm Problem on the p-torsion Subgroup of Elliptic Curves. 2007.ECDLP on p-torsion/anomalous subgroups; weak-curve structure.
- A. Bostan, P. Gaudry, É. Schost. Linear Recurrences with Polynomial Coefficients and Application to Integer Factorization and Cartier-Manin Operator. SIAM Journal on Computing, 2007.Faster recurrence evaluation improving deterministic Pollard-Strassen factoring.
- J. Ding, R. Lindner. Identifying Ideal Lattices. Cryptology ePrint Archive, Paper 2007/322, 2007.Polynomial-time distinguisher identifying ideal lattices from bases.
- G. M. d. Dormale, P. Bulens, J. Quisquater. Collision Search for Elliptic Curve Discrete Logarithm over GF(2 m ) with FPGA. CHES / TCHES, 2007.FPGA collision search for binary-field ECDLP; speed-oriented attack hardware.
- V. Dubois, L. Granboulan, J. Stern. Cryptanalysis of HFE with Internal Perturbation. PKC 2007, 2007.Cryptanalysis of internally perturbed HFE (IPHFE).
- M. S. Emami, M. R. Meybodi. A Post Processing Method For Quantum Prime Factorization Algorithm Based On Randomized Approach. Zenodo, 2007.Randomized classical post-processing for Shor period finding.
- A. Enge, P. Gaudry. An L(1/3 + epsilon) Algorithm for the Discrete Logarithm Problem for Low Degree Curves. EUROCRYPT 2007, 2007.Enge-Gaudry subexponential index calculus DLP for low-degree curve Jacobians.Same work as dblp:conf-eurocrypt-EngeG07; counted there, weight 0 here.
- A. Enge, P. Gaudry. epsilon ) Algorithm for the Discrete Logarithm Problem for Low Degree Curves. EUROCRYPT 2007, 2007.L(1/3+eps) DLP algorithm for low-degree plane curves.
- M. P. C. Fossorier, K. Kobara, H. Imai. Modeling Bit Flipping Decoding Based on Nonorthogonal Check Sums With Application to Iterative Decoding Attack of McEliece Cryptosystem. IEEE Transactions on Information Theory, 2007.Bit-flipping iterative decoding attack on McEliece via random-code decoding.
- D. Gomez, J. Gutierrez, A. Ibeas. An Algorithm for Finding Small Roots of Multivariate Polynomials over the Integers. Cryptology ePrint Archive, Paper 2007/088, 2007.New Coppersmith-style multivariate small-roots method applied to factoring with known high bits.
- K. Gopalakrishnan, N. Thériault, C. Z. Yao. Solving Discrete Logarithms from Partial Knowledge of the Key. INDOCRYPT 2007, 2007.Generic DL algorithms given partial knowledge of the key bits.
- T. E. Güneysu, C. Paar, J. Pelzl. Attacking elliptic curve cryptosystems with special-purpose hardware. FPGA, 2007.FPGA Pollard rho architecture for ECDLP with cost extrapolation.
- O. Hamdi, A. Bouallègue, S. Harari. Generalisation Of Kipnis And Shamir Cryptanalysis Of The Hfe Public Key Cryptosystem. World Academy of Science, Engineering and Technology, International Journal of Computer, Electrical, Automation, Control and Information Engineering, 2007.Generalizes Kipnis-Shamir HFE attack to higher degree.
- G. Hanrot, D. Stehlé. Improved Analysis of Kannan's Shortest Lattice Vector Algorithm (Extended Abstract). CRYPTO 2007, 2007.Improved complexity analysis of Kannan's SVP algorithm.
- G. Hanrot, D. Stehlé. Improved Analysis of Kannan's Shortest Lattice Vector Algorithm. CRYPTO 2007, 2007.Improved complexity analysis of Kannan's SVP enumeration.Same work as openalex:W2333133945; counted there, weight 0 here.
- T. Harayama, D. K. Friesen. Weil sum for birthday attack in multivariate quadratic cryptosystem. Journal of Mathematical Cryptology, 2007.Weil-sum birthday attack identifying weak Dembowski-Ostrom MQ trapdoors.
- R. Heiman. A Note on Discrete Logarithms with Special Structure. EUROCRYPT, 2007.Algorithms for discrete logs with structured (low-weight) exponents; generic group.
- N. Howgrave-Graham. A Hybrid Lattice-Reduction and Meet-in-the-Middle Attack Against NTRU. CRYPTO 2007, 2007.Hybrid lattice-reduction and meet-in-the-middle attack on NTRU.
- N. A. Howgrave-Graham. Isodual Reduction of Lattices. Cryptology ePrint Archive, Paper 2007/105, 2007.Isodual lattice reduction notion and blockwise polytime reduction hierarchy.
- Q. Huang, Z. Li, Y. Zhang, C. Lu. A Modified Non-Sieving Quadratic Sieve For Factoring Simple Blur Integers. 2007 International Conference on Multimedia and Ubiquitous Engineering (MUE'07), 2007.Title-only: QS variant for special 'blur' integers; scope unclear.
- T. Izu, J. Kogure, T. Shimoyama. CAIRN 2: An FPGA Implementation of the Sieving Step in the Number Field Sieve Method. CHES / TCHES 2007, 2007.FPGA sieving hardware for NFS; attack implementation aimed at speed.
- X. Jiang, J. Ding, L. Hu. Kipnis-Shamir Attack on HFE Revisited. Inscrypt 2007, 2007.Revisits Kipnis-Shamir MinRank attack on HFE.
- X. Jiang, J. Ding, L. Hu. Kipnis-Shamir's Attack on HFE Revisited. Inscrypt 2007, 2007.Refutes claimed polynomial complexity of Kipnis-Shamir and Courtois HFE attacks.Same work as dblp:conf-cisc-JiangDH08; counted there, weight 0 here.
- J. Jormakka. On finding Fermat’s pairs. Journal of Discrete Mathematical Sciences and Cryptography, 2007.Fermat-pair search and possible QS/GNFS improvements.
- A. Joux, D. Naccache, E. Thomé. When e-th Roots Become Easier Than Factoring. ASIACRYPT 2007, 2007.Subexponential e-th root computation with affine-root oracle, faster than factoring.
- L. Jun-fang. Analysis and improvement on two kinds of integer factorization algorithm. Jisuanji gongcheng yu sheji, 2007.Improved trial division and Pollard factoring; small-scale.
- K. K., S. S., F. S. A precise estimation of the computational complexity in Shor's factoring algorithm. Applied Mathematics \& Information Sciences, 2007.Precise complexity estimate for Shor's factoring algorithm.
- N. Koh-ichi. Index calculus attack for Jacobian of hyperelliptic curves of small genus using two large primes. Japan Journal of Industrial and Applied Mathematics, 2007.Double large prime index calculus for small-genus hyperelliptic Jacobians.
- S. Kozaki, T. Kutsuma, K. Matsuo. Remarks on Cheon's Algorithms for Pairing-Related Problems. Pairing 2007, 2007.Remarks extending Cheon's algorithms for pairing-related DLP problems.
- G. Macariu, D. Petcu. Parallel Multiple Polynomial Quadratic Sieve on Multi-Core Architectures. Ninth International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC 2007), 2007.Parallel MPQS factoring on multi-core architectures.
- D. Meintanis, I. Papaefstathiou. An efficient FPGA-based implementation of Pollard's (ρ - 1) factorization algorithm. 2007 International Conference on Field-Programmable Technology, 2007.FPGA Pollard p-1 implementation with large speedup.
- G. d. Meulenaer, F. Gosset, G. M. d. Dormale, J. Quisquater. Integer Factorization Based on Elliptic Curve Method: Towards Better Exploitation of Reconfigurable Hardware. 15th Annual IEEE Symposium on Field-Programmable Custom Computing Machines (FCCM 2007), 2007.FPGA ECM architecture for NFS cofactorization; attack hardware speed.
- K. Nagao. Decomposed Attack for the Jacobian of a Hyperelliptic Curve over an Extension Field. ANTS (Algorithmic Number Theory Symposium) 2010, 2010.Decomposition index calculus for Jacobians over extension fields, incl. elliptic curves.
- X. Nie, X. Jiang, L. Hu, J. Ding. Cryptanalysis of Two New Instances of TTM Cryptosystem. IACR Cryptology ePrint Archive, 2007.Iterated linearization ciphertext-only attack on two TTM instances.
- R. Overbeck. Structural Attacks for Public Key Cryptosystems based on Gabidulin Codes. Journal of Cryptology, 2007.Structural key recovery on Gabidulin-code GPT cryptosystems.
- A. Rupp, G. Leander, E. Bangerter, A. Sadeghi, A. W. Dent. Sufficient Conditions for Intractability over Black-Box Groups: Generic Lower Bounds for Generalized DL and DH Problems. ASIACRYPT 2008, 2008.Generic group lower bounds for generalized DL/DH problems.
- S. L. Schmoyer. Triviality and Nontriviality of Tate-Lichtenbaum Self Pairings. University Libraries (University of Maryland), 2007.Characterizes trivial Tate-Lichtenbaum self-pairings, relevant to pairing-based ECDLP attacks.
- T. Shimoyama, T. Izu, J. Kogure. CAIRN3: An FPGA Implementation of the Sieving Step with the Lattice Sieving. IEICE Technical Report, 2007.FPGA lattice-sieving hardware for NFS with RSA-768 cost estimate.
- R. D. Silverman. Optimal Parameterization of SNFS. Journal of Mathematical Cryptology, 2007.Optimal SNFS parameter and sieve-region selection.
- N. Sommer, M. Feder, O. Shalvi. Finding the Closest Lattice Point by Iterative Slicing. IEEE ISIT 2007, 2007.New generic exact CVP algorithm (Voronoi iterative slicer); MIMO only example application.
- N. M. Stephens. Lenstra’s Factorisation Method Based on Elliptic Curves. CRYPTO, 2007.Exposition/analysis of Lenstra's elliptic curve factoring method.
- H. Sun, M. Wu, Y. Chen. Estimating the Prime-Factors of an RSA Modulus and an Extension of the Wiener Attack. ACNS 2007, 2007.Extension of Wiener small-private-exponent attack on RSA.
- A. G. West. Bound Optimization for Parallel Quadratic Sieving Using Large Prime Variations. 2007.Parallel quadratic sieve implementation with large-prime bound optimization.
- G. Wojtenko. PRIME POINTS ON ELLIPTIC CURVES AND ITS IMPACT ON ECDLP. Cryptology ePrint Archive, Paper 2007/092, 2007.Proposes prime-point equivalence classes to speed Pollard rho for ECDLP.
- C. Wu, D. Lou, T. Chang, S. Chen. Integer factorization for RSA cryptosystem under a PVM environment. Comput. Syst. Sci. Eng., 2007.Parallel integer factorization under PVM; title only.
- 努. 飯島. Security Analysis of Algebraic Curve Cryptosystems against Weil Descent Attack. Institutional repository, 2007.Weil descent attack security analysis of algebraic curve cryptosystems; title only.
200649 items2006.bib
- B. Aaron, M. Michael, P. Colin. Integer factorization and computing discrete logarithms in Maple. Maple Conference 2006 (Maplesoft), 2006.Faster SIQS factoring and index-calculus DLP implementations in Maple.
- O. Billet, H. Gilbert. Cryptanalysis of Rainbow. SCN 2006, 2006.Equivalent-key recovery attack on Rainbow below 2^71 for recommended parameters.
- J. C. C. Bossa, I. M. R. Salazar. Factorización de números enteros grandes usando General Number Field Sieve en paralelo. instname:Universidad de los Andes, 2006.Undergraduate thesis on parallel GNFS implementation; title only.
- G. Bourgeois. Attaque algebrique de NTRU a l'aide des vecteurs de Witt. CoRR, 2006.Improved Witt-vector algebraic attack on NTRU key.
- D. Charles. On the existence of distortion maps on ordinary elliptic curves. Cryptology ePrint Archive, Paper 2006/128, 2006.Characterizes distortion maps on ordinary curves, i.e. when EC-DDH is easy.
- C. Chen, C. Hsueh. Quantum factorization algorithm by NMR ensemble computers. Applied Mathematics and Computation, 2006.Quantum factoring algorithm for NMR ensemble computers; title only.
- Q. Cheng, M. A. Huang. Partial Lifting and the Elliptic Curve Discrete Logarithm Problem. Algorithmica, 2006.Partial lifting approach to ECDLP index calculus; hardness of partial lifting.Journal extension of dblp:conf-isaac-ChengH04; counted at 0.33.
- J. H. Cheon. Security Analysis of the Strong Diffie-Hellman Problem. EUROCRYPT 2006, 2006.Cheon's attack on strong DH: DL recovery from auxiliary powers.
- A. Commeine, I. A. Semaev. An Algorithm to Solve the Discrete Logarithm Problem with the Number Field Sieve. PKC 2006, 2006.NFS algorithm for discrete logarithms in prime fields.
- A. W. Dent. The Hardness of the DHK Problem in the Generic Group Model. IACR Cryptology ePrint Archive, 2006.Generic-group hardness of DH Knowledge problem; analogous to one-more-DL GGM example.
- C. Diem. An Index Calculus Algorithm for Plane Curves of Small Degree. ANTS (Algorithmic Number Theory Symposium) 2006, 2006.Index calculus for DLP on plane curves of small degree.
- C. Diem. Index calculus with double large prime variation for curves of small genus with cyclic class group. Mathematics of Computation, 2007.Double large prime index calculus for small-genus curves.
- J. Ding, L. Hu, B. Yang, J. Chen. Note on Design Criteria for Rainbow-Type Multivariates. Cryptology ePrint Archive, Paper 2006/307, 2006.New cryptanalysis exploiting flawed Rainbow parameter choices; updated design criteria.
- V. Dubois, L. Granboulan, J. Stern. An Efficient Provable Distinguisher for HFE. ICALP 2006, 2006.Provable distinguisher for HFE public keys.
- M. P. C. Fossorier, M. J. Mihaljevic, H. Imai, Y. Cui, K. Matsuura. A Novel Algorithm for Solving the LPN Problem and its Application to Security Evaluation of the HB Protocol for RFID Authentication. INDOCRYPT 2006, 2006.New LPN-solving algorithm generalizing BKW; HB security re-evaluated.Same work as dblp:conf-indocrypt-FossorierMICM06; counted there, weight 0 here.
- M. P. C. Fossorier, M. J. Mihaljevic, H. Imai, Y. Cui, K. Matsuura. An Algorithm for Solving the LPN Problem and Its Application to Security Evaluation of the HB Protocols for RFID Authentication. INDOCRYPT 2006, 2006.New LPN solving algorithm applied to HB protocols.
- K. Gaj, S. Kwon, P. Baier, P. Kohlbrenner, H. Le, M. Khaleeluddin et al. Implementing the Elliptic Curve Method of Factoring in Reconfigurable Hardware. CHES / TCHES 2006, 2006.FPGA ECM architecture for NFS relation collection; speed-oriented.
- N. Gama, N. Howgrave-Graham, H. Koy, P. Q. Nguyen. Rankin's Constant and Blockwise Lattice Reduction. CRYPTO 2006, 2006.Rankin's constant and blockwise lattice reduction algorithms.
- N. Gama, N. Howgrave-Graham, P. Q. Nguyen. Symplectic Lattice Reduction and NTRU. EUROCRYPT 2006, 2006.Symplectic lattice reduction exploiting NTRU lattice structure.
- W. Geiselmann, F. Januszewski, H. Koepfer, J. Pelzl, R. Steinwandt. A Simpler Sieving Device: Combining ECM and TWIRL. ICISC 2006, 2006.ECM device replacing TWIRL logging for NFS sieving hardware.
- W. Geiselmann, R. Steinwandt. Non-Wafer-Scale Sieving Hardware for the NFS: Another Attempt to Cope with 1024-bit. EUROCRYPT 2007, 2007.Non-wafer-scale NFS sieving hardware design for 1024-bit RSA.
- L. Granboulan, A. Joux, J. Stern. Inverting HFE Is Quasipolynomial. CRYPTO 2006, 2006.Quasipolynomial algorithm for inverting HFE.
- N. Guo, L. T. Yang, M. Lin, J. P. Quinn. A Parallel GNFS Integrated with the Block Wiedemann's Algorithm for Integer Factorization. 2006 2nd IEEE International Symposium on Dependable, Autonomic and Secure Computing, 2006.Parallel GNFS with block Wiedemann on a cluster.
- L. Hitt. On the Minimal Embedding Field. Pairing 2007, 2007.Shows minimal embedding field can be far smaller than embedding degree indicates for MOV transfer.
- Y. Hu, C. Chou, L. Wang, F. Lai. Cryptanalysis of Variants of UOV. ISC (Information Security Conference) 2006, 2006.Cryptanalysis of UOV variants; title only.
- M. A. Huang, W. Raskind. Signature Calculus and Discrete Logarithm Problems. ANTS (Algorithmic Number Theory Symposium) 2006, 2006.Signature calculus approach to DLP in finite fields and elliptic curves; algorithmic/structural.
- W. Hwang, D. Kim. Load Balanced Block Lanczos Algorithm over GF(2) for Factorization of Large Keys. High Performance Computing - HiPC 2006, 2006.Load-balanced parallel block Lanczos for factoring linear algebra.
- E. Jochemsz, B. d. Weger. A Partial Key Exposure Attack on RSA Using a 2-Dimensional Lattice. ISC (Information Security Conference) 2006, 2006.Partial key exposure attack on RSA via 2-dimensional lattice.
- E. Jochemsz, A. May. A Strategy for Finding Roots of Multivariate Polynomials with New Applications in Attacking RSA Variants. ASIACRYPT 2006, 2006.Coppersmith root-finding strategy with new attacks on RSA variants.
- A. Joux, R. Lercier. The Function Field Sieve in the Medium Prime Case. EUROCRYPT 2006, 2006.Function field sieve for finite-field DLP in medium characteristic.
- A. Joux, R. Lercier, N. P. Smart, F. Vercauteren. The Number Field Sieve in the Medium Prime Case. CRYPTO 2006, 2006.Number field sieve for DLP in medium-characteristic finite fields.
- J. H. Kim, R. Montenegro, P. Tetali. Near Optimal Bounds for Collision in Pollard Rho for Discrete Log. FOCS 2007, 2007.Near-optimal collision-time bounds for Pollard rho discrete log.
- T. Kleinjung. On polynomial selection for the general number field sieve. Mathematics of Computation, 2006.Improved GNFS polynomial selection used in factoring records.
- É. Levieil, P. Fouque. An Improved LPN Algorithm. SCN 2006, 2006.Improved BKW-style LPN algorithm.
- Y. Liu, V. Lyubashevsky, D. Micciancio. On Bounded Distance Decoding for General Lattices. APPROX/RANDOM 2006, 2006.BDD with preprocessing algorithms and hardness for general lattices.
- S. D. Miller, R. Venkatesan. Spectral Analysis of Pollard Rho Collisions. ANTS (Algorithmic Number Theory Symposium) 2006, 2006.Rigorous collision-time analysis for Pollard rho discrete log.
- I. Mironov, A. Mityagin, K. Nissim. Hard Instances of the Constrained Discrete Logarithm Problem. ANTS (Algorithmic Number Theory Symposium) 2006, 2006.Generic lower bounds for constrained DLP on succinct exponent sets.
- F. Momose, J. Chao. Classification of Weil Restrictions Obtained by (2,...,2) Coverings of P^1. Cryptology ePrint Archive, Paper 2006/347, 2006.Classifies curves weak under Weil descent via (2,...,2) coverings.
- P. Q. Nguyen, D. Stehlé. LLL on the Average. ANTS (Algorithmic Number Theory Symposium) 2006, 2006.Average-case behaviour of LLL; reduction-algorithm analysis per v0.3.4.
- B. Nina, W. Arne. Approximation of the discrete logarithm in finite fields of even characteristic by real polynomials. Archivum Mathematicum, 2006.Lower bounds on real polynomials approximating discrete log in characteristic two.
- R. Overbeck. Decoding Interleaved Gabidulin Codes and Ciphertext-Security for GPT variants. Cryptology ePrint Archive, Paper 2006/222, 2006.Interleaved Gabidulin decoding yields attacks on GPT variants.
- R. Overbeck. Statistical Decoding Revisited. ACISP 2006, 2006.Reanalysis of statistical decoding for generic codes.
- O. Schirokauer. The number field sieve for integers of low weight. Mathematics of Computation, 2010.NFS variant exploiting low-weight integers for factoring and prime-field DLP.
- J. Stern. A method for finding codewords of small weight. Coding Theory and Applications, 2006.Stern's low-weight codeword finding algorithm.
- X. Wang. Hardware Designs for Linear Algebra of Number Field Sieve. Jisuanji yingyong yanjiu, 2006.Survey and cost-time comparison of NFS linear algebra hardware designs.
- C. Wieschebrink. An Attack on a Modified Niederreiter Encryption Scheme. PKC 2006, 2006.Structural attack on modified Niederreiter (GRS subcode) variant.
- L. T. Yang, L. Xu, M. Lin, J. P. Quinn. A Parallel GNFS Algorithm Based on a Reliable Look-Ahead Block Lanczos Method for Integer Factorization. Embedded and Ubiquitous Computing, 2006.Parallel GNFS with look-ahead block Lanczos.
- L. T. Yang, L. Xu, M. Lin, J. P. Quinn. A Parallel GNFS Algorithm with the Biorthogonal Block Lanczos Method for Integer Factorization. ATC, 2006.Parallel GNFS with biorthogonal block Lanczos linear algebra.
- J. Zhang. Selection of factor base about cyclic group Z_p~* and applications to Index-calculus algorithm. Journal of Chengdu University of Technology, 2006.Factor base selection for index calculus in Z_p^*; minor.
200544 items2005.bib
- J. Buchmann, C. Ludwig. Practical Lattice Basis Sampling Reduction. ANTS (Algorithmic Number Theory Symposium) 2006, 2006.Sampling reduction algorithm; NTRU recommended parameters estimated at <=74 bits.
- Z. Cao. A Note on Shor's Quantum Algorithm for Prime Factorization. Cryptology ePrint Archive, Paper 2005/051, 2005.Note on Shor: RSA modulus factoring needs only order of 2.
- C. Chen, C. Ku, D. C. Yen. Cryptanalysis of large RSA exponent by using the LLL algorithm. Applied Mathematics and Computation, 2005.Title only: LLL-based attack on RSA with large exponent.
- J. Chen. OPTIMIZATION OF THE QUADRATIC SIEVE IN LARGE INTEGER FACTORIZATION. Journal of Mathematics, 2005.Quadratic sieve parameter and implementation optimization.
- J. Coron, D. Lefranc, G. Poupard. A New Baby-Step Giant-Step Algorithm and Some Applications to Cryptanalysis. CHES / TCHES 2005, 2005.New baby-step giant-step variant with cryptanalytic applications.
- A. Das, C. E. V. Madhavan. On the cubic sieve method for computing discrete logarithms over prime fields. International Journal of Computer Mathematics, 2005.Cubic and linear sieve DLP implementations over prime fields.
- J. Ding, D. Schmidt. Cryptanalysis of HFEv and Internal Perturbation of HFE. PKC 2005, 2005.Cryptanalysis of HFEv and internally perturbed HFE.
- W. Geiselmann, H. Köpfer, R. Steinwandt, E. Tromer. Improved Routing-Based Linear Algebra for the Number Field Sieve. International Conference on Information Technology: Coding and Computing (ITCC'05) - Volume II, 2005.Improved mesh-routing hardware linear algebra for NFS.
- W. Geiselmann, A. Shamir, R. Steinwandt, E. Tromer. Scalable Hardware for Sparse Systems of Linear Equations, with Applications to Integer Factorization. CHES / TCHES 2003, 2003.Special-purpose hardware for NFS sparse linear algebra.
- R. Granger, F. Vercauteren. On the Discrete Logarithm Problem on Algebraic Tori. CRYPTO 2005, 2005.Index calculus attack on DLP in algebraic tori (CEILIDH/XTR settings).
- S. Hallgren. Fast quantum algorithms for computing the unit group and class group of a number field. STOC 2005, 2005.Quantum unit/class group algorithms underpinning principal-ideal lattice attacks.
- R. A. Haraty, H. Otrok, A. N. El-Kassar. Attacking ElGamal based cryptographic algorithms using Pollard's rho algorithm. AICCSA, 2005.Pollard rho applied to ElGamal DLP; title only, likely small-scale.
- F. Hess. Weil Descent Attacks. Advances in Elliptic Curve Cryptography, 2005.Chapter on Weil descent attacks on elliptic and hyperelliptic DLP.
- N. Howgrave-Graham, J. Hoffstein, J. Pipher, W. Whyte. On estimating the lattice security of NTRU. Cryptology ePrint Archive, Paper 2005/104, 2005.Refutes claimed 74-bit security attack on NTRUEncrypt; clarifies lattice attack estimates.
- T. Iijima, M. Shimura, J. Chao, S. Tsujii. An Extension of GHS Weil Descent Attack. IEICE Transactions, 2005.Extends GHS Weil descent attack to cyclic Galois extension curves.
- Y. Jie-shan. Genetic Algorithms Attack on NTRU public-key cryptosystem. Acta Simulata Systematica Sinica, 2005.Genetic-algorithm key search attack on NTRU private key; weak result.
- A. A. Kalele, V. R. Sule. Weak keys of the Diffe Hellman key exchange I. Cryptology ePrint Archive, Paper 2005/024, 2005.Weak DH exponents in finite fields allowing DHP solution without DLP.
- M. Kawazoe, T. Mori, T. Takahashi. Quadratic Twist Attack for ECC. 2005.Improves Xedni calculus for ECDLP with experiments.
- E. Kiltz, A. Winterhof. Polynomial interpolation of cryptographic functions related to Diffie–Hellman and discrete logarithm problem. Discrete Applied Mathematics, 2005.Lower bounds on polynomial interpolation of DH/DL functions; restricted-model hardness.
- N. Kunihiro. Exact Analyses of Computational Time for Factoring in Quantum Computers. IEICE Transactions, 2005.Gate counts and runtime estimates for Shor factoring of 576/1024-bit numbers.
- Z. Lin, L. T. Yang, M. Lin. Factoring large integers using parallel quadratic sieve by block lanczos. PDPTA, 2005.Parallel quadratic sieve with block Lanczos.
- V. Lyubashevsky. The Parity Problem in the Presence of Noise, Decoding Random Linear Codes, and the Subset Sum Problem. APPROX/RANDOM 2005, 2005.Algorithms for LPN with limited samples and random linear code decoding.
- P. Martin, V. Radovan. Factorization of RSA-110 using multiple polynomial quadratic sieve. Journal of Electrical Engineering, 2005.Factorization of RSA-110 using MPQS (title only).
- S. S. McMath. Parallel Integer Factorization Using Quadratic Forms. 2005.Analysis and parallelization of SQUFOF factoring.
- F. Momose, J. Chao. Scholten Forms and Elliptic/Hyperelliptic Curves with Weak Weil Restrictions. Cryptology ePrint Archive, Paper 2005/277, 2005.Classes of curves over extension fields with weak Weil restrictions.
- J. Muir, D. R. Stinson. On the low hamming weight discrete logarithm problem for nonadjacent representations. Applicable Algebra in Engineering, Communication and Computing, 2005.Algorithms for low-weight NAF-exponent discrete logarithms.
- P. Q. Nguyen, D. Stehlé. Floating-Point LLL Revisited. EUROCRYPT 2005, 2005.Floating-point LLL (L2) algorithm.
- J. Pelzl, M. imka, T. Kleinjung, J. Frankē, C. Priplata, C. Stahlke et al. Area–time efficient hardware architecture for factoring integers with the elliptic curve method. IEE Proceedings - Information Security, 2005.Area-time efficient ECM hardware for GNFS smoothness testing.
- L. J. Quan, L. M. Lan, X. L. Liang. Solving the multi-discrete logarithm problems over a group of elliptic curves with prime order. Acta Mathematica Sinica, English Series, 2005.Shows rho/parallel collision search gains nothing on multi-instance ECDLP.
- H. Ritter. Breaking Knapsack cryptosystems by max-norm enumeration. Publication Server of Goethe University Frankfurt am Main (Goethe University Frankfurt), 2005.New l-infinity norm lattice enumeration algorithm; knapsack break is the application.
- O. Schirokauer. Virtual logarithms. J. Algorithms, 2005.Virtual logarithms analysis for Joux-Lercier NFS prime-field DLP.
- A. Schmidt, U. Vollmer. Polynomial time quantum algorithm for the computation of the unit group of a number field. STOC 2005, 2005.Polynomial-time quantum unit group computation, a core ideal-lattice attack subroutine.
- C. Schnorr. Fast LLL-type lattice reduction. Information and Computation, 2006.Faster LLL-type lattice reduction.
- A. Shamir, E. Tromer. Special-Purpose Hardware for Factoring: the NFS Sieving Step. 2005.Special-purpose hardware for NFS sieving step.
- A. Stein, E. Teske. Optimized Baby Step-Giant Step Methods. 2005.Optimized baby-step giant-step variants for discrete logs and orders.
- M. Šimka, J. Pelzl, T. Kleinjung, J. Frankē, C. Priplata, C. Stahlke et al. Hardware Factorization Based on Elliptic Curve Method. FCCM, 2005.FPGA ECM engine to speed GNFS cofactorization; cryptanalytic hardware.
- I. Tsutomu, M. Shimura, J. Chao, S. Tsujii. On Security of Superelliptic Curves and Cab Curves Based Cryptosystems against GHS Weil Descent Attack. IEICE Technical Report, 2005.GHS Weil descent applicability to superelliptic and Cab curve DLP.
- L. Wei-qing. New Lattice to Attack NTRU. Journal of Xiamen University, 2005.Lower-dimension lattice exploiting NTRU key structure.
- L. Xu, M. Lin. A Parallel GNFS Algorithm with Reliable Look Ahead Block Lanczos for Integer Factorization. Lecture notes in computer science, 2006.Parallel GNFS with look-ahead block Lanczos; title only.
- L. Xu, L. T. Yang, M. Lin. Factoring large integers using parallel general number field sieve. PDPTA, 2005.Parallel GNFS implementation for factoring.
- L. T. Yang, L. Xu, M. Lin. Integer Factorization by a Parallel GNFS Algorithm for Public Key Cryptosystems. Embedded Software and Systems, 2005.Parallel GNFS implementation for integer factorization.
- 윤석봉. Weil Descent of Jacobians in Elliptic Curve Cryptosystem. 2005.Weil descent applied to Jacobians for ECDLP.
- 何王全, 漆锋滨, 韩文报. F2^m上并行Pollard rho算法的优化实现. Acta Scientiarum Naturalium Universitatis Sunyatseni, 2005.Optimized parallel Pollard rho for ECDLP over binary fields.
- 努. 飯島, 真. 志村, 晋. 趙, 重. 辻井. Superelliptic curveとC_ curveを用いた暗号系のGHS Weil Descent攻撃に対する安全性. India Software Engineering Conference, 2005.GHS Weil descent security of superelliptic/Cab curve cryptosystems; low-genus curve DLP.
200432 items2004.bib
- K. Aoki, H. Ueda, Y. Kida. A trial of GNFS implementation (Part VI) -- lattice sieve. IEICE Technical Report, 2004.GNFS implementation, lattice sieve step; title only.
- K. Aoki, Y. Kida, T. Shimoyama, H. Ueda. GNFS Factoring Statistics of RSA-100, 110, ..., 150. Cryptology ePrint Archive, Paper 2004/095, 2004.GNFS factorizations of RSA-100 to 150 with uniform timing statistics.
- K. Aoki. Sieving Region, and Relationship between Numbers of Required Relations and Factor Bases on the Number Field Sieve. IEICE Technical Report, 2004.NFS sieving region and relation/factor-base parameter analysis; title only.
- K. Aoki, H. Ueda. Sieving Using Bucket Sort. ASIACRYPT 2004, 2004.Cache-efficient bucket-sort sieving for NFS.
- S. Arita, K. Matsuo, K. Nagao, M. Shimura. A Weil Descent Attack against Elliptic Curve Cryptosystems over Quartic Extension Fields. IEICE Transactions, 2006.Weil descent on elliptic curves over quartic extensions to genus-2 curves.
- S. Bajracharya, D. Misra, K. Gaj, T. A. El-Ghazawi. Reconfigurable hardware implementation of mesh routing in number field sieve factorization. FPT, 2004.FPGA mesh-routing NFS matrix step with RSA-1024 cost extrapolation.
- A. Braeken, C. Wolf, B. Preneel. A Study of the Security of Unbalanced Oil and Vinegar Signature Schemes. CT-RSA 2005, 2005.UOV security study: Groebner basis attacks for n>=2m and new attack on subfield variant.
- Q. Cheng, M. A. Huang. On Partial Lifting and the Elliptic Curve Discrete Logarithm Problem. ISAAC (Algorithms and Computation) 2004, 2004.Hardness of partial lifting, ruling out a lifting route to ECDLP.
- Q. Cheng. On the Bounded Sum-of-Digits Discrete Logarithm Problem in Finite Fields. CRYPTO 2004, 2004.Polynomial-time DL for bounded sum-of-digits exponents in Kummer extensions.
- N. T. Courtois. k), Application to HFE Challenge 2 and Sflash-v2. PKC 2004, 2004.Algebraic attacks over GF(2^k) applied to HFE Challenge 2 and Sflash-v2.
- W. Ekkelkamp. On the Amount of Sieving in Factorization Methods. CWI, The Netherlands, 2010.Predicting relations needed and sieving time for QS/NFS.
- P. Felke. On the Affine Transformations of HFE-Cryptosystems and Systems with Branches. WCC (Workshop on Coding and Cryptography) 2005, 2005.Recovers affine secret-key parts of HFE and decomposes branch systems in polynomial time.
- H. Florian. Generalising the GHS attack on the elliptic curve discrete logarithm. LMS Journal of Computation and Mathematics, 2004.Generalized GHS Weil descent attack on ECDLP.
- P. Gaudry. Index calculus for abelian varieties and the elliptic curve discrete logarithm problem. Journal of Symbolic Computation, 2009.Index calculus on abelian varieties; ECDLP over GF(q^3), GF(q^4).
- H. Géza. The \(\varphi\) factoring algorithm. Alkalmazott Matematikai Lapok. A Magyar Tudomanyos Akademia. Matematikai es Fizikai Tudomanyok Osztalyanak Közlemenyei, 2004.New phi factoring algorithm improving on Fermat's method.
- R. Granger, A. J. Holt, D. Page, N. P. Smart, F. Vercauteren. Function Field Sieve in Characteristic Three. ANTS (Algorithmic Number Theory Symposium) 2004, 2004.Function field sieve for discrete logs in characteristic three.
- Y. B. Hammad, G. Carter, E. Dawson, Y. Hitchcock. Improvements to the RAK Factoring Algorithm. Cryptographic Algorithms and their Uses, 2004.Improvements to an integer factoring algorithm; title only.
- F. Hess. Generalising the GHS Attack on the Elliptic Curve Discrete Logarithm Problem. LMS Journal of Computation and Mathematics, 2004.Generalised GHS Weil descent enlarging weak-curve classes.
- Y. Hitchcock, P. Montague, G. Carter, E. Dawson. The efficiency of solving multiple discrete logarithm problems and the implications for the security of fixed elliptic curves. International Journal of Information Security, 2004.Efficiency of solving multiple ECDLP instances; security of fixed curves.
- A. Johansson. Distributed System for Factorisation of Large Numbers. Institutional repository, 2004.Thesis implementing distributed MPQS factoring system.
- L. Junquan, L. Mulan. Solving discrete logarithm problems over a group of elliptic curves with prime order. Journal of Systems Science and Mathematical Sciences, 2004.Analysis of Pollard rho / parallel collision search for ECDLP with improved iteration function.
- N. Koblitz, A. Menezes. Obstacles to the torsion-subgroup attack on the decision Diffie-Hellman Problem. Mathematics of Computation, 2004.Shows torsion-subgroup DDH attack on F_p* unlikely to work.
- F. Luca, D. J. Mireles, I. E. Shparlinski. MOV attack in various subgroups on elliptic curves. Illinois Journal of Mathematics, 2004.Bounds on MOV reduction success probability across EC subgroups.
- A. Menezes, E. Teske. Cryptographic Implications of Hess' Generalized GHS Attack. Applicable Algebra in Engineering, Communication and Computing, 2006.Weak binary fields under Hess generalized GHS Weil descent.
- J. Michon, P. Valarcher, J. Yunès. HFE and BDDs: A Practical Attempt at Cryptanalysis. Coding, Cryptography and Combinatorics, 2004.BDD-based ciphertext-only attack attempt on HFE challenge.
- K. Nagao. Improvement of ThéLeriault Algorithm of Index Calculus for Jacobian of Hyperelliptic Curves of Small Genus. IACR Cryptology ePrint Archive, 2004.Faster index calculus for small-genus hyperelliptic Jacobians.
- K. Nagao. Improvement of Thériault Algorithm of Index Calculus for Jacobian of Hyperelliptic Curves of Small Genus. Cryptology ePrint Archive, Paper 2004/161, 2004.Faster index calculus for small-genus hyperelliptic Jacobians.
- P. Q. Nguyen, D. Stehlé. Low-Dimensional Lattice Basis Reduction Revisited. ANTS (Algorithmic Number Theory Symposium) 2004, 2004.Analysis of greedy low-dimensional lattice reduction; reduction algorithm work.
- T. E. Seidel, D. Socek, M. Sramka. Parallel Symmetric Attack on NTRU using Non-Deterministic Lattice Reduction. Designs, Codes and Cryptography, 2004.Parallel lattice-reduction attack on NTRU exploiting symmetry.
- I. Semaev. Summation polynomials and the discrete logarithm problem on elliptic curves. Cryptology ePrint Archive, Paper 2004/031, 2004.Introduces summation polynomials for ECDLP index calculus.
- B. Yang, J. Chen. TTS: Rank Attacks in Tame-Like Multivariate PKCs. Cryptology ePrint Archive, Paper 2004/061, 2004.MinRank-style rank attacks exploiting tame-like central maps; breaks TTS instances.
- Z. Yonghui, Z. Yuefei. Partial key exposure attack on RSA. Applied Mathematics. Series A (Chinese Edition), 2004.Lattice partial key exposure attack on RSA with primes sharing low bits.
200328 items2003.bib
- M. Ajtai, R. Kumar, D. Sivakumar. Sampling short lattice vectors and the closest lattice vector problem. Computational Complexity Conference 2002, 2002.Single-exponential approximate CVP algorithm via sampling and SVP oracle.
- A. Akhavi. The optimal LLL algorithm is still polynomial in fixed dimension. Theoretical Computer Science, 2003.Complexity analysis of optimal LLL variant; lattice reduction algorithm (v0.3.4).
- S. Beauregard. Circuit for Shor's algorithm using 2n+3 qubits. Quantum Information & Computation, 2003.2n+3 qubit Shor factoring circuit.
- D. Claus. The GHS attack in odd characteristic. Journal of the Ramanujan Mathematical Society, 2003.GHS Weil descent attack generalized to odd characteristic.
- J. Faugère, A. Joux. Algebraic Cryptanalysis of Hidden Field Equation (HFE) Cryptosystems Using Gröbner Bases. CRYPTO 2003, 2003.Groebner basis attack on HFE; breaks HFE challenge 1 in two CPU days.Same work as openalex:W2724724895; counted there, weight 0 here.
- J. Faugère. Algebraic cryptanalysis of HFE using Gröbner bases. CRYPTO 2003, 2003.F5 Groebner attack on HFE; breaks first HFE challenge in two CPU days.
- M. Finiasz. Words of minimal weight and weight distribution of binary Goppa codes. IEEE ISIT 2003, 2003.Low-weight word statistics of binary Goppa codes vs random; bears on indistinguishability.
- M. Fossorier, K. Kobara, H. Imai. On the Vulnerability of McEliece Crypto-systems under Iterative Decoding Attack. Illinois Digital Environment for Access to Learning and Scholarship (University of Illinois at Urbana-Champaign), 2003.Iterative decoding attack on McEliece; title only.
- W. Geiselmann, R. Steinwandt. Yet Another Sieving Device. CT-RSA 2004, 2004.Mesh-based hardware design for NFS relation collection for 768-bit numbers.
- J. E. Gower. Rotations and Translations of Number Field Sieve Polynomials. ASIACRYPT 2003, 2003.NFS polynomial selection via rotations and translations.
- R. Granger. Estimates for Discrete Logarithm Computations in Finite Fields of Small Characteristic. IMA Cryptography and Coding (IMACC) 2003, 2003.Cost estimates for DL computations in small-characteristic finite fields.
- F. Hess. The GHS Attack Revisited. EUROCRYPT 2003, 2003.Revisits GHS Weil descent attack on ECDLP.
- A. J. Holt, J. H. Davenport. Resolving Large Prime(s) Variants for Discrete Logarithm Computation. IMA Cryptography and Coding (IMACC) 2003, 2003.Large prime variants in index calculus for DL.
- K. Kobara, H. Imai. On the one-wayness against chosen-plaintext attacks of the Loidreau's modified McEliece PKC. IEEE Transactions on Information Theory, 2003.Work-factor analysis of best CPA attacks against Loidreau's Frobenius McEliece variant.
- A. K. Lenstra, E. Tromer, A. Shamir, W. Kortsmit, B. Dodson, J. P. Hughes et al. Factoring Estimates for a 1024-Bit RSA Modulus. ASIACRYPT 2003, 2003.NFS yield and cost estimates for factoring 1024-bit RSA with TWIRL parameters.
- C. Ludwig. A Faster Lattice Reduction Method Using Quantum Search. ISAAC (Algorithms and Computation) 2003, 2003.Lattice reduction sped up with Grover quantum search.
- C. M., L. A. C. H., S. D. R. Slope packings and coverings, and generic algorithms for the discrete logarithm problem. Journal of Combinatorial Designs, 2002.Slope packings/coverings bounding non-adaptive generic DLP algorithms.
- D. V. Matyukhin. On asymptotic complexity of computing discrete logarithms over GF(p). Discrete Mathematics and Applications, 2003.Improved asymptotic complexity of DL algorithm over prime fields.
- A. Menezes, E. Teske, A. Weng. Weak Fields for ECC. CT-RSA 2004, 2004.Weil descent makes ECDLP weak over fields like GF(2^210).
- T. Nicolas. Weil descent attack for Kummer extensions. Journal of the Ramanujan Mathematical Society, 2003.Generalizes Weil descent attack to Kummer/superelliptic families.
- J. Proos, C. Zalka. Shor's discrete logarithm quantum algorithm for elliptic curves. Quantum Information & Computation, 2003.Shor ECDLP circuit and qubit counts over prime fields.
- I. Semaev. A reduction of the space for the parallelized Pollard lambda search on elliptic curves over prime finite fields and on anomalous binary elliptic curves. Cryptology ePrint Archive, Paper 2003/166, 2003.Larger equivalence classes reduce parallel Pollard lambda cost on EC.
- A. Shamir, E. Tromer. Factoring Large Number with the TWIRL Device. CRYPTO 2003, 2003.TWIRL special-purpose NFS sieving hardware with cost estimates for 1024-bit factoring.
- L. Tanja, W. Arne. Interpolation of the discrete logarithm in \(\mathbbF_q\) by Boolean functions and by polynomials in several variables modulo a divisor of \(q-1\). Discrete Applied Mathematics, 2003.Complexity lower bounds for Boolean/polynomial representations of finite field DL.
- E. Teske. Computing discrete logarithms with the parallelized kangaroo method,. Discrete Applied Mathematics, 2003.Analysis and parameter choice of parallelized kangaroo method for generic DLP.
- N. Thériault. Index Calculus Attack for Hyperelliptic Curves of Small Genus. ASIACRYPT 2003, 2003.Improved index calculus for DLP in small-genus hyperelliptic Jacobians.
- I. Toli. Cryptanalysis of HFE. CoRR, 2003.Title only: cryptanalysis of HFE.
- H. Wang. Polynomial Selection in the Number Field Sieve. Journal of Information Engineering University, 2003.NFS polynomial selection and degree choice.
200236 items2002.bib
- E. Agrell, T. Eriksson, A. Vardy, K. Zeger. Closest point search in lattices. IEEE Transactions on Information Theory, 2002.Survey plus faster Schnorr-Euchner enumeration for CVP/SVP on general lattices.
- W. Backes, S. Wetzel. Heuristics on Lattice Basis Reduction in Practice. ACM J. Exp. Algorithmics, 2002.New practical heuristics speeding LLL reduction.
- T. P. Berger, P. Loidreau. Security of the Niederreiter form of the GPT Public-key Cryptosystem. HAL, 2002.Security/structural analysis of Niederreiter-form GPT Gabidulin cryptosystem.
- S. Cavallar. On the number field sieve integer factorisation algorithm. Data Archiving and Networked Services (DANS), 2002.Thesis on the number field sieve factoring algorithm.
- S. Cavallar. The three-large-primes variant of the Number Field Sieve. Report - Modelling, Analysis and Simulation, 2002.Three-large-primes NFS variant, theory and experiments.
- Q. Cheng. A New Class of Unsafe Primes. Cryptology ePrint Archive, Paper 2002/109, 2002.Polynomial-time special-purpose factoring when 4p-1 = d b^2 (CM-based).
- Q. Cheng, S. Uchiyama. Nonuniform Polynomial Time Algorithm to Solve Decisional Diffie-Hellman Problem in Finite Fields under Conjecture. CT-RSA 2002, 2002.Nonuniform polynomial-time DDH algorithm in finite fields under a conjecture.
- R. Cleve, J. Watrous. Fast parallel circuits for the quantum Fourier transform. FOCS 2000, 2000.Log-depth QFT circuits yielding log-depth Shor factoring.
- N. T. Courtois, M. Daum, P. Felke. On the Security of HFE, HFEv- and Quartz. PKC 2003, 2003.Inversion attacks on HFEv- and Quartz with complexity estimates.
- I. Damgard, M. Koprowski. Generic Lower Bounds for Root Extraction and Signature Schemes in General Groups. EUROCRYPT 2002, 2002.Generic-group lower bound for root extraction, i.e. RSA and strong RSA.
- M. Drmota, D. Panario. A Rigorous Proof of the Waterloo Algorithm for the Discrete Logarithm Problem. Designs, Codes and Cryptography, 2002.Rigorous runtime analysis of Waterloo index calculus for F_2^n.
- T. Garefalakis. The Generalized Weil Pairing and the Discrete Logarithm Problem on Elliptic Curves. LATIN, 2002.Generalized Weil pairing reduction of ECDLP to finite-field DLP.
- C. Gentry, M. Szydlo. Cryptanalysis of the Revised NTRU Signature Scheme. EUROCRYPT 2002, 2002.NSS break introducing Gentry-Szydlo algorithm exploiting NTRU ring structure.
- M. J. Hinek, M. K. Low, E. Teske. On some Attacks on Multi-prime RSA. Selected Areas in Cryptography (SAC) 2002, 2002.Analyses small-exponent and partial-key (Coppersmith-type) attacks on multi-prime RSA.
- J. Horwitz, R. Venkatesan. Random Cayley Digraphs and the Discrete Logarithm. ANTS (Algorithmic Number Theory Symposium) 2002, 2002.Random-walk (Cayley digraph) analysis of rho-type generic DL algorithms.
- T. Johansson, F. Jönsson. On the complexity of some cryptographic problems based on the general decoding problem. IEEE Transactions on Information Theory, 2002.Faster probabilistic decoding of one-out-of-many words; attacks McEliece and Stern.
- A. Joux, R. Lercier. Improvements to the general number field sieve for discrete logarithms in prime fields. A comparison with the gaussian integer method. Mathematics of Computation, 2002.GNFS improvements for prime-field DLP incl. individual logs, with large prime field computation.
- A. Joux, R. Lercier. The Function Field Sieve Is Quite Special. ANTS (Algorithmic Number Theory Symposium) 2002, 2002.Function field sieve variant for finite-field DLP.
- T. Lange, A. Winterhof. Polynomial Interpolation of the Elliptic Curve and XTR Discrete Logarithm. COCOON, 2002.Lower bounds on polynomial interpolation of EC and XTR discrete log.
- A. K. Lenstra, A. Shamir, J. Tomlinson, E. Tromer. Analysis of Bernstein's Factorization Circuit. ASIACRYPT 2002, 2002.Cost analysis of Bernstein's NFS circuit and 1024-bit RSA security.
- P. Loidrean, N. Sendrier. Some weak keys in McEliece public-key cryptosystem. IEEE ISIT 2002, 2002.Weak Goppa keys with binary generator polynomial enable structural McEliece attack.
- K. Neal. Good and bad uses of elliptic curves in cryptography. Moscow Mathematical Journal, 2002.Explains why lifting attacks to global curves fail; plus ECDLP survey.
- A. V. Ourivski, T. Johansson. New Technique for Decoding Codes in the Rank Metric and Its Cryptography Applications. Probl. Inf. Transm., 2002.New generic rank-metric decoding algorithm with cryptanalytic applications.
- O. Regev. Quantum Computation and Lattice Problems. FOCS 2002, 2002.Quantum reduction of unique-SVP to dihedral HSP/subset sum.
- O. Schirokauer. The Special Function Field Sieve. SIAM J. Discret. Math., 2002.Special function field sieve extending L(1/3) finite-field DLP range.
- C. Schnorr. Lattice Reduction by Random Sampling and Birthday Methods. STACS 2003, 2003.Random sampling reduction with birthday speedup.
- P. W. Shor. Algorithms for quantum computation: discrete logarithms and factoring. FOCS 2002, 2002.Shor's quantum algorithms for factoring and discrete logarithms.
- D. R. Stinson. Some baby-step giant-step algorithms for the low hamming weight discrete logarithm problem. Mathematics of Computation, 2001.BSGS algorithms for low-Hamming-weight discrete logarithms.
- L. Tanja, W. Arne. Incomplete character sums over finite fields and their application to the interpolation of the discrete logarithm by Boolean functions. Acta Arithmetica, 2002.Lower bounds on Boolean-function degree/sparsity representing discrete log bit.
- E. Thomé. Subquadratic Computation of Vector Generating Polynomials and Improvement of the Block Wiedemann Algorithm. Journal of Symbolic Computation, 2002.Faster block Wiedemann, the sparse linear algebra step of NFS/index calculus.
- Y. Wang. An analysis of Weil Descent algebraic attack on the hyperelliptic curves discrete logarithm. Journal of China Institute of Communications, 2002.Applicability of Weil descent to hyperelliptic curve DLP over binary fields.
- A. Winterhof. Polynomial Interpolation of the Discrete Logarithm. Designs, Codes and Cryptography, 2002.Lower bounds on degree/sparsity of polynomials interpolating finite-field discrete log.
- Z. Yuefei, P. Dingyi. An algorithm for DLP on anomalous elliptic curves over \(\mathbb F_p\). Science in China. Series A, 2002.DLP algorithm on anomalous curves over F_p; title only.
- C. Zhang. An extension of the Dickman function and its application. Purdue e-Pubs (Purdue University System), 2002.Semismooth integer distribution for analysing large-prime QS/NFS variants.
- Y. Zhu, D. Pei. An algorithm for DLP on anomalous elliptic curves over Fp. Science China Mathematics, 2002.DLP algorithm on anomalous curves; weak-curve structure.
- 正. 有田. 偶数次拡大体上の種数2超楕円曲線暗号に対するWeil descent attackについて. India Software Engineering Conference, 2002.Weil descent attack on genus-2 hyperelliptic curves over even-degree extensions.
200136 items2001.bib
- M. Ajtai, R. Kumar, D. Sivakumar. A sieve algorithm for the shortest lattice vector problem. STOC 2001, 2001.AKS 2^O(n) sieve algorithm for SVP.
- M. Ajtai, R. Kumar, D. Sivakumar. An Overview of the Sieve Algorithm for the Shortest Lattice Vector Problem. CaLC (Cryptography and Lattices Conference) 2001, 2001.Overview of AKS sieve for SVP by its authors.
- E. Andreas, G. Pierrick. A general framework for subexponential discrete logarithm algorithms. Acta Arithmetica, 2001.General subexponential index-calculus framework incl. hyperelliptic Jacobians and finite fields.
- N. T. Courtois. The Security of Hidden Field Equations (HFE). CT-RSA 2001, 2001.Security analysis and attacks on HFE.
- P. A. Crouch, J. H. Davenport. Lattice Attacks on RSA-Encrypted IP and TCP. IMA Cryptography and Coding (IMACC) 2001, 2001.Title only: Coppersmith-style lattice attacks on structured RSA plaintexts.
- A. Enge. Computing discrete logarithms in high-genus hyperelliptic Jacobians in provably subexponential time. Mathematics of Computation, 2001.Provably subexponential DLP in high-genus hyperelliptic Jacobians.
- A. Enge, A. Stein. Smooth ideals in hyperelliptic function fields. Mathematics of Computation, 2001.Smooth ideal density underpinning subexponential high-genus hyperelliptic DLP algorithms.
- S. D. Galbraith, F. Hess, N. P. Smart. Extending the GHS Weil Descent Attack. EUROCRYPT 2002, 2002.Extends GHS Weil descent via isogenies to more binary curves.
- S. D. Galbraith. Weil Descent Of Jacobians. Electronic Notes in Discrete Mathematics, 2001.Weil descent of Jacobians reducing curve DLP to easier problem.
- J. M. García‐Chamizo, R. Menchaca. Quantum Cryptoanalysis of Elliptic Curve Systems. Computación y Sistemas, 2001.Presents quantum polynomial-time algorithm for ECDLP (Shor adaptation).
- T. Garefalakis, D. Panario. The index calculus method using non-smooth polynomials. Mathematics of Computation, 2001.Index calculus with non-smooth factor bases for small-characteristic finite field DLP.
- P. Gaudry, F. Hess, N. P. Smart. Constructive and Destructive Facets of Weil Descent on Elliptic Curves. Journal of Cryptology, 2002.GHS Weil descent attack on ECDLP over composite binary fields.
- C. Gentry. Key Recovery and Message Attacks on NTRU-Composite. EUROCRYPT 2001, 2001.Lattice key-recovery exploiting composite-degree NTRU ring structure.
- A. A. Jabri. A Statistical Decoding Algorithm for General Linear Block Codes. IMA Cryptography and Coding (IMACC) 2001, 2001.Al Jabri's statistical decoding for general linear codes.
- M. Jacobson, A. Menezes, A. Stein. Solving Elliptic Curve Discrete Logarithm Problems Using Weil Descent. Cryptology ePrint Archive, Paper 2001/041, 2001.Solves concrete ECDLP over F_2^155 via Weil descent index calculus.
- H. Koy, C. Schnorr. Segment LLL-Reduction of Lattice Bases. CaLC (Cryptography and Lattices Conference) 2001, 2001.Segment LLL reduction; v0.3.4 LLL-variant rule.
- H. Koy, C. Schnorr. Segment LLL-Reduction with Floating Point Orthogonalization. CaLC (Cryptography and Lattices Conference) 2001, 2001.Segment LLL with floating-point orthogonalization; faster lattice reduction (v0.3.4 rule).
- F. Kuhn, R. Struik. Random Walks Revisited: Extensions of Pollard's Rho Algorithm for Computing Multiple Discrete Logarithms. Selected Areas in Cryptography (SAC) 2001, 2001.Pollard rho extensions for computing multiple discrete logarithms.
- H. W. Lenstra. Flags and Lattice Basis Reduction. Progress in Mathematics, 2001.Reformulates lattice basis reduction as flag reduction; reduction-algorithm theory (v0.3.4).
- P. Loidreau, N. Sendrier. Weak keys in the McEliece public-key cryptosystem. IEEE Transactions on Information Theory, 2001.Weak-key detection and attack for McEliece Goppa codes with binary generator.
- M. Maurer, A. Menezes, E. Teske. Analysis of the GHS Weil Descent Attack on the ECDLP over Characteristic Two Finite Fields of Composite Degree. INDOCRYPT 2001, 2001.GHS Weil descent applicability to composite-degree binary curves incl. ANSI examples.
- A. May, J. H. Silverman. Dimension Reduction Methods for Convolution Modular Lattices. CaLC (Cryptography and Lattices Conference) 2001, 2001.Dimension reduction for NTRU convolution modular lattice attacks.
- A. Miyaji, M. Nakabayashi, S. Takano. New Explicit Conditions of Elliptic Curve Traces for FR-Reduction. IEICE Transactions, 2001.Trace conditions making curves vulnerable or secure against FR reduction.
- S. C. P. Small generic hardcore subsets for the discrete logarithm: short secret DL-keys. Information Processing Letters, 2001.Generic-model hardness of short-exponent DL via hardcore subsets.
- P. René. Elliptic curve factorization using a ``partially oblivious'' function. Cryptography and Computational Number Theory, CCNT'99 (Birkhäuser, Prog. Comput. Sci. Appl. Log. 20), 2001.ECM speedup via partially oblivious functions for special N like PS^2.
- R. Rivest, R. Silverman. Are 'Strong' Primes Needed for RSA. Cryptology ePrint Archive, Paper 2001/007, 2001.Analyzes special-purpose factoring vs strong primes; RSA prime-selection analysis.
- J. Seifert. Using Fewer Qubits in Shor's Factorization Algorithm Via Simultaneous Diophantine Approximation. CT-RSA 2001, 2001.Reduces qubit count of Shor's factoring via simultaneous Diophantine approximation.
- I. A. Semaev. A 3-Dimensional Lattice Reduction Algorithm. CaLC (Cryptography and Lattices Conference) 2001, 2001.New 3-dimensional lattice reduction algorithm (v0.3.4 reduction rule).
- K. Shim. Reducing Certain Elliptic Curve Discrete Logarithms to Logarithms in a Finite Field. ACISP 2001, 2001.Reduction of special-curve ECDLP to finite-field DLP.
- L. Tanja, W. Arne. Interpolation of the discrete logarithm in finite fields by Boolean functions. Electron. Notes Discret. Math., 2001.Boolean function complexity lower bounds for DL bits.
- E. Teske. On random walks for Pollard's rho method. Mathematics of Computation, 2000.Analysis of random walks for Pollard rho discrete logarithms.
- E. Thomé. Computation of Discrete Logarithms in \(\) \mathbbF_2^607 \(\). ASIACRYPT 2001, 2001.Record discrete log computation in GF(2^607).
- E. Thomé. Fast computation of linear generators for matrix sequences and application to the block Wiedemann algorithm. ISSAC 2001, 2001.Subquadratic matrix generator for block Wiedemann, the NFS/index-calculus linear algebra.
- B. A. V. A method of solution of the problem of taking the discrete logarithm on an elliptic curve by division of points by two. Cybernetics and Systems Analysis, 2001.ECDLP solving method via point halving; title only.
- E. Wolski, J. G. S. Filho, M. A. R. Dantas. Parallel Implementation of Elliptic Curve Method for Integer Factorization Using Message-Passing Interface (MPI). Anais do XIII Symposium on Computer Architecture and High Performance Computing (SBAC-PAD 2001), 2001.Parallel MPI implementation of ECM factoring.
- L. T. Yang, R. P. Brent. The Parallel Improved Lanczos Method for Integer Factorization over Finite Fields for Public Key Cryptosystems. ICPP Workshops, 2001.Parallel improved Lanczos for sparse linear algebra in factoring/DLP.
200026 items2000.bib
- A. Akhavi. Worst-Case Complexity of the Optimal LLL Algorithm. LATIN, 2000.Worst-case complexity analysis of optimal LLL; reduction-algorithm analysis per v0.3.4.
- S. Arita. Gaudry’s Variant against C ab Curves. PKC 2000, 2000.Gaudry index calculus adapted to C_ab curve Jacobians (v0.3.2: ecdlp).
- S. Arita. Weil Descent of Elliptic Curves over Finite Fields of Characteristic Three. ASIACRYPT 2000, 2000.Weil descent weakens some characteristic-three composite-degree elliptic curves.
- W. Backes, S. Wetzel. New Results on Lattice Basis Reduction in Practice. ANTS (Algorithmic Number Theory Symposium) 2000, 2000.Practical lattice basis reduction results; reduction algorithms count per v0.3.4.
- S. R. Blackburn, E. Teske. Baby-Step Giant-Step Algorithms for Non-uniform Distributions. ANTS (Algorithmic Number Theory Symposium) 2000, 2000.Baby-step giant-step variants for non-uniform exponent distributions.
- J. Blömer. Closest Vectors, Successive Minima, and Dual HKZ-Bases of Lattices. ICALP 2000, 2000.CVP and successive minima algorithms via dual HKZ bases.
- D. Boneh, G. Durfee. Cryptanalysis of RSA with Private Key Less Than. Lecture notes in computer science, 1999.Boneh-Durfee small private exponent lattice attack on RSA.
- A. Borodin, D. Panario, T. Garefalakis. On the discrete logarithm problem in the finite fields and on elliptic curves. 2000.Index calculus with generalized factor bases; ECDLP-to-FFDLP reduction generalizing MOV.
- S. Cavallar, B. Dodson, A. K. Lenstra, W. M. Lioen, P. L. Montgomery, B. Murphy et al. Factorization of a 512-Bit RSA Modulus. EUROCRYPT 2000, 2000.Record factorization of 512-bit RSA modulus.
- S. Cavallar. Strategies in Filtering in the Number Field Sieve. ANTS (Algorithmic Number Theory Symposium) 2000, 2000.Filtering strategies for the number field sieve.
- J. H. Cheon, D. H. Lee, S. G. Hahn, S. P. Chee. Elliptic Curve Discrete Logarithms and Wieferich Primes. India Software Engineering Conference, 2000.Fast dependence-relation computation for Xedni calculus ECDLP attack.
- D. Coppersmith, I. E. Shparlinski. On Polynomial Approximation of the Discrete Logarithm and the Diffie - Hellman Mapping. Journal of Cryptology, 2000.Lower bounds on polynomial approximation of discrete log and DH mapping mod p.
- A. Enge. Hyperelliptic cryptosystems: efficiency and subexponential attacks. University of Augsburg, Germany, 2000.Thesis including subexponential index-calculus attacks on hyperelliptic DLP; title only.
- R. P. Gallant, R. J. Lambert, S. A. Vanstone. Improving the parallelized Pollard lambda search on anomalous binary curves. Mathematics of Computation, 1999.Pollard lambda on equivalence classes; sqrt(2m) speedup on Koblitz curves.
- P. Gaudry. Algorithmique des courbes hyperelliptiques et applications à la cryptologie. École Polytechnique, Palaiseau, France, 2000.Thesis with major part on index-calculus DLP algorithms for hyperelliptic Jacobians.
- P. Gaudry. An Algorithm for Solving the Discrete Log Problem on Hyperelliptic Curves. EUROCRYPT 2000, 2000.Gaudry index calculus for DLP on hyperelliptic Jacobians.
- M. A. Huang, K. L. Kueh, K. Tan. Lifting Elliptic Curves and Solving the Elliptic Curve Discrete Logarithm Problem. ANTS (Algorithmic Number Theory Symposium) 2000, 2000.Shows lifting/index-calculus ECDLP approaches like Xedni unlikely to succeed.
- K. H. Joon, C. J. Hee, H. S. Geun. On remarks of lifting problems for elliptic curves. Advanced Studies in Contemporary Mathematics (Pusan), 2000.Lifting elliptic curves to global fields as route to ECDLP; feasibility discussion.
- M. J. J. Jr., N. Koblitz, J. H. Silverman, A. Stein, E. Teske. Analysis of the Xedni Calculus Attack. Designs, Codes and Cryptography, 2000.Refutes Xedni calculus ECDLP attack asymptotically and in practice.
- N. Kanayama. Remarks on elliptic curve discrete logarithm problems. IEICE Transactions, 2000.MOV/FR applicability conditions and trace-two ECDLP reduction algorithm.
- N. Kunihiro, K. Koyama. Two Discrete Log Algorithms for Super-Anomalous Elliptic Curves and Their Applications. IEICE Transactions, 2000.DLP algorithms for super-anomalous curves generalizing anomalous attacks.
- J. M. Pollard. Kangaroos, Monopoly and Discrete Logarithms. Journal of Cryptology, 2000.Improved running-time analysis of serial/parallel kangaroo method.
- I. A. Semaev. Special prime numbers and discrete logs in finite prime fields. Mathematics of Computation, 2000.Faster NFS-like DLP for special prime family; exploits special structure.
- J. H. Silverman. The Xedni Calculus and the Elliptic Curve Discrete Logarithm Problem. Designs, Codes and Cryptography, 2000.Proposes Xedni calculus ECDLP attack, later shown ineffective.
- M. Yusuke, M. Kazuhiro, I. Yoshihide. An application of PVMs (parallel virtual machines) to discrete logarithm problems. RIMS Kokyuroku 1148, 2000.Parallel (PVM) discrete log computation; group unstated, title only.
- 順. 四方. On the Reductions of the Elliptic Curve Discrete Logarithm Problem. Jounal of Xidian University, 2001.Title only: reductions of ECDLP (likely MOV/anomalous); undecidable details.
199931 items1999.bib
- S. I. A. On the reduction of the calculation of discrete logarithms on an elliptic curve to the calculation of discrete logarithms in a finite field. Diskretnaya Matematika, 1999.Reduction of ECDLP to finite-field DLP via pairings (Semaev).
- D. Abhijit, V. M. C. E. Performance comparison of linear sieve and cubic sieve algorithms for discrete logarithms over prime fields. ISAAC (Algorithms and Computation) 1999, 1999.Performance comparison of linear and cubic sieve for prime field DL.
- L. M. Adleman, J. DeMarrais, M. A. Huang. A Subexponential Algorithm for Discrete Logarithms over Hyperelliptic Curves of Large Genus over GF(q). Theoretical Computer Science, 1999.Subexponential DLP algorithm for large-genus hyperelliptic curves.
- L. M. Adleman, M. A. Huang. Function Field Sieve Method for Discrete Logarithms over Finite Fields. Information and Computation, 1999.Function field sieve for finite field discrete logarithms.
- M. B. Antony. Polynomial selection for the number field sieve integer factorisation algorithm. ANU Open Research (Australian National University), 1999.Murphy thesis on NFS polynomial selection.
- A. Barg, E. A. Krouk, H. C. A. v. Tilborg. On the complexity of minimum distance decoding of long linear codes. IEEE Transactions on Information Theory, 1999.Supercode decoding for generic linear codes with improved asymptotic complexity.
- S. Cavallar, B. Dodson, A. K. Lenstra, P. C. Leyland, W. M. Lioen, P. L. Montgomery et al. Factorization of RSA-140 Using the Number Field Sieve. ASIACRYPT 1999, 1999.Record factorization of RSA-140 with NFS.
- J. H. Cheon, S. G. Hahn, H. J. Kim. Elliptic Curve Lifting Problem and Its Applications. Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1999.Lifting to rationals approach to ECDLP (xedni-type).
- C. Coupé, P. Q. Nguyen, J. Stern. The Effectiveness of Lattice Attacks Against Low-Exponent RSA. PKC 1999, 1999.Practical effectiveness of Coppersmith lattice attacks on low-exponent RSA.
- A. Das. Galois Field computations: Implementation of a library and a study of the discrete logarithm problem. Dissertation (institution not recorded), 1999.Thesis with detailed computational study of prime-field DLP algorithms.
- I. M. Duursma, P. Gaudry, F. Morain. Speeding up the Discrete Log Computation on Curves with Automorphisms. ASIACRYPT 1999, 1999.Faster discrete log on curves with large-order automorphisms.
- R. M. Elkenbracht-Huizing, P. L. Montgomery, R. Silverman, R. Wackerbarth, S. Wagstaff. The number field sieve on many computers. CRM Proceedings and Lecture Notes, 1999.Distributed SNFS factorizations of large special numbers reported.
- G. Frey, M. Müller, H. Rück. The Tate pairing and the discrete logarithm applied to elliptic curve cryptosystems. IEEE Transactions on Information Theory, 1999.Tate pairing reduction of ECDLP on special curves to finite field DLP.
- S. D. Galbraith, N. P. Smart. A Cryptographic Application of Weil Descent. IMA Cryptography and Coding (IMACC) 1999, 1999.Weil descent applied to ECDLP over composite-degree extension fields.
- R. Harasawa, J. Shikata, J. Suzuki, H. Imai. Comparing the MOV and FR Reductions in Elliptic Curve Cryptography. EUROCRYPT 1999, 1999.Implementation and comparison of MOV and Frey-Ruck pairing reductions of ECDLP.
- H. Kim, 김환준. Elliptic curve discrete logarithm and lifting problem = 타원곡선 이산로그와 올림 문제. Communications of the Korean Mathematical Society, 1999.Title-only: ECDLP and lifting problem, lifting-based attack approach.
- A. Kipnis, A. Shamir. Cryptanalysis of the HFE Public Key Cryptosystem by Relinearization. CRYPTO 1999, 1999.Relinearization attack on HFE.Same work as openalex:W1557189340; counted there, weight 0 here.
- A. Kipnis, A. Shamir. Cryptanalysis of the HFE Public Key Cryptosystem. CRYPTO 1999, 1999.Kipnis-Shamir relinearization cryptanalysis of HFE.
- R. Matsumoto. Using Cab Curves in the Function Field Sieve. IEICE Transactions, 1999.Cab curves guarantee absolute irreducibility in function field sieve.
- J. McKee. Speeding Fermat's factoring method. Mathematics of Computation, 1999.Fermat/Shanks-style factoring with heuristic O(n^1/4+e) runtime.
- A. Menezes, M. Qu. Analysis of the Weil Descent Attack of Gaudry, Hess and Smart. CT-RSA 1999, 1999.Feasibility analysis of GHS Weil descent for characteristic-two curves.
- V. Müller, A. Stein, C. Thiel. Computing discrete logarithms in real quadratic congruence function fields of large genus. Mathematics of Computation, 1999.Subexponential DL in real quadratic function fields (hyperelliptic) of large genus.
- P. C. v. Oorschot, M. J. Wiener. Parallel Collision Search with Cryptanalytic Applications. Journal of Cryptology, 1999.Parallel collision search giving linear-speedup rho for discrete logs.
- L. Qian, K. Kunikatsu. Integer factorization based on the continued fraction method. Information, 1999.Identifies moduli with short continued-fraction period factorable by CFRAC.
- H. Rück. On the discrete logarithm in the divisor class group of curves. Mathematics of Computation, 1999.Efficient DLP in p-torsion of curve class groups, generalizing anomalous attack.
- T. Satoh, K. Araki. Errata to the paper: Fermat Quotients and the Polynomial Time Discrete Log Algorithm for Anomalous Elliptic Curves (published in Commentarii Math. Univ. St. Pauli, 47(1), 81-92, 1998). Commentarii mathematici Universitatis Sancti Pauli = Rikkyo Daigaku sugaku zasshi, 1999.Erratum to Satoh-Araki anomalous-curve polynomial-time ECDLP paper.
- O. Schirokauer. Using number fields to compute logarithms in finite fields. Mathematics of Computation, 1999.NFS adaptation for finite-field discrete logs, L[1/3] heuristic.
- J. Shikata, Y. Zheng, J. Suzuki, H. Imai. Optimizing the Menezes-Okamoto-Vanstone (MOV) Algorithm for Non-supersingular Elliptic Curves. ASIACRYPT 1999, 1999.Efficient MOV pairing reduction for non-supersingular curves.
- P. W. Shor. Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer. SIAM Journal on Computing, 1997.Shor's quantum algorithms for factoring and discrete logarithms.
- N. P. Smart. The Discrete Logarithm Problem on Elliptic Curves of Trace One. Journal of Cryptology, 1999.Linear-time ECDLP on anomalous (trace one) curves.
- 李前. On Speeding up for Integer Factorization Algorithms(素因数分解アルゴリズムの高速化に関する研究). Medical Entomology and Zoology, 1999.Title only: thesis on speeding up integer factorization algorithms.
199820 items1998.bib
- R. Balasubramanian, N. Koblitz. The Improbability That an Elliptic Curve Has Subexponential Discrete Log Problem under the Menezes - Okamoto - Vanstone Algorithm. Journal of Cryptology, 1998.Shows small embedding degree (MOV-weak) curves are improbable.
- A. Canteaut, F. Chabaud. A New Algorithm for Finding Minimum-Weight Words in a Linear Code: Application to McEliece's Cryptosystem and to Narrow-Sense BCH Codes of Length 511. IEEE Transactions on Information Theory, 1998.Improved low-weight codeword algorithm applied to McEliece.
- A. Canteaut, N. Sendrier. Cryptanalysis of the Original McEliece Cryptosystem. ASIACRYPT 1998, 1998.Low-weight codeword ISD attack and cost against original McEliece parameters.
- D. Coppersmith. Specialized Integer Factorization. EUROCRYPT 1998, 1998.Specialized factoring algorithms for integers of special form.
- C. Heckler, L. Thiele. Complexity Analysis of a Parallel Lattice Basis Reduction Algorithm. SIAM Journal on Computing, 1998.Parallel LLL complexity analysis; lattice reduction algorithm counts per v0.3.4.
- B. R. Lovorn, P. Carl. Rigorous discrete logarithm computations in finite fields via smooth polynomials. Computational Perspectives on Number Theory (AMS/IP Stud. Adv. Math. 7), 1998.Rigorous subexponential index calculus for finite-field DLP via smooth polynomials.
- U. M. Maurer, S. Wolf. Lower Bounds on Generic Algorithms in Groups. EUROCRYPT 1998, 1998.Generic-group lower bounds for DL/DH problems.
- B. Murphy. Modelling the Yield of Number Field Sieve Polynominals. ANTS (Algorithmic Number Theory Symposium) 1998, 1998.Modelling NFS polynomial yield for polynomial selection.
- P. Q. Nguyen. A Montgomery-Like Square Root for the Number Field Sieve. ANTS (Algorithmic Number Theory Symposium) 1998, 1998.Montgomery-like square root step for the NFS.
- O. Penninga. Finding column depedencies in sparse matrices over \( F_ 2 \) by block Wiedemann. Modelling, Analysis and Simulation [MAS], 1998.Block Wiedemann vs Lanczos for NFS sparse GF(2) linear algebra.
- T. Satoh, K. Araki. Fermat quotients and the polynomial time discrete log algorithm for anomalous elliptic curves. Institutional repository, 1998.Polynomial-time DLP on anomalous curves via Fermat quotients.
- I. A. Semaev. An algorithm for evaluation of discrete logarithms in some nonprime finite fields. Mathematics of Computation, 1998.Coppersmith-style DL algorithm for certain odd-characteristic extension fields.
- I. A. Semaev. Evaluation of discrete logarithms in a group of p-torsion points of an elliptic curve in characteristic p. Mathematics of Computation, 1998.Polynomial-time DLP on anomalous curves (p-torsion subgroup).
- J. H. Silverman. "Elliptic curve discrete logarithms and index calculus," ASIACRYPT'98. Lecture notes in computer science, 1998.Silverman's xedni/index calculus approach to ECDLP; title only.
- J. H. Silverman, J. Suzuki. Elliptic Curve Discrete Logarithms and the Index Calculus. ASIACRYPT 1998, 1998.Obstructions to index calculus for ECDLP, with experiments.
- S. Takakazu, A. Kiyomichi. Fermat quotients and polynomial time algorithms for finding discrete logarithms of anomalous elliptic curves. RIMS Kokyuroku 1026, 1998.Polynomial-time DLP on anomalous curves via Fermat quotients.
- E. Teske. Speeding Up Pollard's Rho Method for Computing Discrete Logarithms. ANTS (Algorithmic Number Theory Symposium) 1998, 1998.Better random walks speeding up Pollard rho for discrete logs.
- D. Weber. Computing Discrete Logarithms with Quadratic Number Rings. EUROCRYPT 1998, 1998.New relation step via quadratic number rings; NFS vs COS on 85-digit prime-field DLP.
- D. Weber, T. F. Denny. The Solution of McCurley's Discrete Log Challenge. CRYPTO 1998, 1998.Solves McCurley DL challenge with special NFS, reports effort.
- C. Zalka. Fast versions of Shor's quantum factoring algorithm. arXiv, 1998.Fast parallelized Shor factoring circuits with resource analysis.
199712 items1997.bib
- J. Buchmann, M. J. J. Jr., E. Teske. On some computational problems in finite abelian groups. Mathematics of Computation, 1997.BSGS-based algorithms for DLP, order and structure in generic abelian groups.
- D. Coppersmith, A. Shamir. Lattice Attacks on NTRU. EUROCRYPT 1997, 1997.Lattice attacks on NTRU.
- D. Coppersmith. Small Solutions to Polynomial Equations, and Low Exponent RSA Vulnerabilities. Journal of Cryptology, 1997.Coppersmith small-roots method; low-exponent RSA and partial-key factoring attacks.
- R. Günter. Finding a shortest vector in a two-dimensional lattice modulo m. Theoretical Computer Science, 1997.Algorithm for shortest vector in 2D modular lattices.
- P. L. Montgomery, S. Cavallar, H. teRiele. A new world record for the special number field sieve factoring method. Quarterly - Centrum voor Wiskunde en Informatica, 1997.SNFS world-record factorization announcement via NFSNET.
- B. Murphy, R. P. Brent. On Quadratic Polynomials for the Number Field Sieve. CATS, 1998.Smoothness yield analysis for NFS quadratic polynomial selection.
- H. Nicholas. Finding small roots of univariate modular equations revisited. Crytography and Coding, 1997.Howgrave-Graham reformulation of Coppersmith small modular roots.
- H. Ritter, C. Roessner. Factoring via Strong Lattice Reduction Algorithms. Cryptology ePrint Archive, Paper 1997/008, 1997.Schnorr lattice-based factoring with stronger reduction; factors 60-bit integers.
- I. Semaev. A GENERALIZATION OF THE NUMBER FIELD SIEVE. Probabilistic Methods in Discrete Mathematics, 1997.Generalized NFS gains for integers of special forms.
- V. Shoup. Lower Bounds for Discrete Logarithms and Related Problems. EUROCRYPT 1997, 1997.Generic-group lower bounds for discrete logarithms.
- G. Villard. Further Analysis of Coppersmith's Block Wiedemann Algorithm for the Solution of Sparse Linear Systems (Extended Abstract). ISSAC 1997, 1997.Analysis of block Wiedemann, the sparse linear algebra used in NFS/index calculus.
- D. Weber. On the computation of discrete logarithms in finite prime fields. Saarland University, 1997.Thesis with index-calculus DL computations up to 85 digits, McCurley challenge.
199614 items1996.bib
- H. Boender, H. J. J. t. Riele. Factoring Integers with Large-Prime Variations of the Quadratic Sieve. Experimental Mathematics, 1996.Large-prime MPQS variants: crossover points, running-time predictions, parameters.
- F. Chabaud, J. Stern. The Cryptographic Security of the Syndrome Decoding Problem for Rank Distance Codes. ASIACRYPT 1996, 1996.Early algorithm and security analysis for rank-metric syndrome decoding.
- J. Cowie, B. Dodson, R. M. Elkenbracht-Huizing, A. K. Lenstra, P. L. Montgomery, J. Zayer. A World Wide Number Field Sieve Factoring Record: On to 512 Bits. ASIACRYPT 1996, 1996.World-wide NFS factoring record computation.
- I. Dumer. Suboptimal decoding of linear codes: partition technique. IEEE Transactions on Information Theory, 1996.Dumer partition technique for decoding generic linear codes.
- R. M. Elkenbracht-Huizing. A Multiple Polynominal General Number Field Sieve. ANTS (Algorithmic Number Theory Symposium) 1996, 1996.Multiple-polynomial GNFS with experiments.
- K. Gibson. The Security of the Gabidulin Public Key Cryptosystem. EUROCRYPT 1996, 1996.Structural attack on Gabidulin rank-metric public key cryptosystem.
- M. James. Turning Euler's factoring method into a factoring algorithm. Bulletin of the London Mathematical Society, 1996.McKee's Euler-based factoring algorithm with O(n^1/3) runtime.
- R. J. Lambert, I. F. Blake. Computational aspects of discrete logarithms. 1996.Thesis on sparse linear algebra modulo primes for index calculus DLP.
- J. McKee, R. Pinch. Old and New Deterministic Factoring Algorithms. ANTS (Algorithmic Number Theory Symposium) 1996, 1996.Deterministic integer factoring algorithms.
- Z. Mingzhi. Factoring integers with conics. Journal of Sichuan University. Natural Science Edition, 1996.p+-1 style factoring method using group law on conics.
- R. Peralta, E. Okamoto. Faster factoring of integers of a special form. IEICE Transactions, 1996.ECM speedup for factoring N=PQ^2 via Jacobi signatures.
- O. Schirokauer. "Discrete logarithms: The effectiveness of the index calculus method," Proc. of ANTS-II. ANTS (Algorithmic Number Theory Symposium) 1996, 1996.Effectiveness of index calculus for finite-field discrete logs; title only.
- A. Storjohann. Faster algorithms for integer lattice basis reduction. Institutional repository, 1996.Faster LLL-type integer lattice basis reduction.
- D. Weber. Computing Discrete Logarithms with the General Number Field Sieve. ANTS (Algorithmic Number Theory Symposium) 1996, 1996.GNFS discrete log record modulo 65-digit prime.
199516 items1995.bib
- S. I. A. Computation of discrete logarithms in an arbitrary finite field. Discrete Mathematics and Applications, 1995.Number-field index calculus for DLP in arbitrary finite fields.
- C. Anne. A new algorithm for finding minimum-weight words in large linear codes. IMA Cryptography and Coding (IMACC) 1995, 1995.Canteaut algorithm for minimum-weight codewords (ISD).
- D. Boneh, R. J. Lipton. Quantum Cryptanalysis of Hidden Linear Functions (Extended Abstract). CRYPTO 1995, 1995.Quantum algorithm for hidden linear functions generalizing Shor discrete log.
- P. Carl, S. Jonathan. Counting the integers factorable via cyclotomic methods. J. Algorithms, 1995.Average-case analysis of integers factorable by p-1 and p+1 methods.
- B. Dodson, A. K. Lenstra. NFS with Four Large Primes: An Explosive Experiment. CRYPTO 1995, 1995.Experimental NFS variant with four large primes.
- C. Eldershaw, R. P. Brent. Factorization of large integers on some vector and parallel computers. ANU Open Research (Australian National University), 1995.ECM and rho factoring implementations on vector/parallel machines.
- C. Eldershaw, R. P. Brent. Integer Factorisation on the AP1000. 1995.Parallel/vector implementations of ECM and Pollard rho factoring, speed-focused.
- R. M. Elkenbracht-Huizing. An Implementation of the Number Field Sieve. Experimental Mathematics, 1996.NFS implementation with data for record factorization of 12^151-1.
- J. K. Gibson. Severely Denting the Gabidulin Version of the McEliece Public Key Cryptosystem. Designs, Codes and Cryptography, 1995.Structural attack on Gabidulin-code McEliece variant.
- A. K. Lenstra. Factoring Integers Using the Web and the Number Field Sieve. Infoscience (Ecole Polytechnique Fédérale de Lausanne), 1995.Background note on web-distributed NFS factoring project; no instance reported in abstract.
- U. M. Maurer. On the oracle complexity of factoring integers. Computational Complexity Conference 1995, 1995.Oracle complexity of factoring; how much oracle help suffices.
- P. L. Montgomery. A Block Lanczos Algorithm for Finding Dependencies Over GF(2). EUROCRYPT 1995, 1995.Block Lanczos linear algebra step for sieve-based factoring/DLP.
- E. H. O. Ndiaye. Study of the discrete logarithm problem in \(\mathbbF_p^ 3\). Annales de la Faculté des sciences de Toulouse : Mathématiques, 1995.Subexponential discrete log algorithm in F_p^3.
- A. W. R., P. Carl. Implementing the self initializing quadratic sieve on a distributed network. Number Theoretic and Algebraic Methods in Computer Science, NTAMCS '93 (World Scientific), 1995.Distributed SIQS sieving; factored a 100-digit number on 125 PCs.
- D. Weber. An Implementation of the General Number Field Sieve to Compute Discrete Logarithms mod p. EUROCRYPT 1995, 1995.Practical GNFS implementation for prime-field discrete logarithms.
- B. Wieb, L. A. K. An implementation of the elliptic curve integer factorization method. Computational Algebra and Number Theory (Kluwer, Math. Appl. 325), 1995.Fast ECM implementation in Magma.
199417 items1994.bib
- L. M. Adleman, J. DeMarrais, M. A. Huang. A subexponential algorithm for discrete logarithms over the rational subgroup of the jacobians of large genus hyperelliptic curves over finite fields. ANTS (Algorithmic Number Theory Symposium) 1994, 1994.Subexponential DLP algorithm in large-genus hyperelliptic Jacobians.
- L. M. Adleman. The function field sieve. ANTS (Algorithmic Number Theory Symposium) 1994, 1994.Function field sieve for discrete logs in GF(p^n).
- A. Canteaut, H. Chabanne. A further improvement of the work factor in an attempt at breaking McEliece's cryptosystem. INRIA a CCSD electronic archive server, 1994.Improved ISD work factor for attacking McEliece.
- D. Coppersmith. Solving Homogeneous Linear Equations Over GF(2) via Block Wiedemann Algorithm. Mathematics of Computation, 1994.Block Wiedemann for GF(2) linear algebra stage of factoring.
- D. Coppersmith. Solving homogeneous linear equations over 𝐺𝐹(2) via block Wiedemann algorithm. Mathematics of Computation, 1994.Block Wiedemann over GF(2), standard linear algebra step of factoring sieves.
- H. Daudé, B. Vallée. An Upper Bound on the Average Number of Iterations of the LLL Algorithm. Theoretical Computer Science, 1994.Average-case analysis of LLL iteration count (v0.3.4: reduction analyses are yes).
- G. Frey, H. Rück. A remark concerning 𝑚-divisibility and the discrete logarithm in the divisor class group of curves. Mathematics of Computation, 1994.Frey-Rück Tate-pairing reduction of curve DLP to finite-field DLP.
- F. Gerhard, R. Hans-Georg. A remark concerning \(m\)-divisibility and the discrete logarithm in the divisor class group of curves. Mathematics of Computation, 1994.Frey-Ruck pairing reduction of curve DLP to finite field DLP.
- R. A. Golliver, A. K. Lenstra, K. S. McCurley. Lattice sieving and trial division. ANTS (Algorithmic Number Theory Symposium) 1994, 1994.Lattice sieving and trial division for NFS relation collection.
- v. T. Johan. Security-analysis of a class of cryptosystems based on linear error- correcting codes. 1994.Thesis with new probabilistic syndrome decoding algorithm and McEliece security analysis.
- S. Jonathan. Polylog depth circuits for integer factoring and discrete logarithms. Information and Computation, 1994.Polylog-depth parallel circuits for factoring and prime-field discrete logs.
- M. P. L. Square roots of products of algebraic numbers. Mathematics of Computation 1943-1993 (AMS Proc. Symp. Appl. Math. 48), 1994.Montgomery square-root step for the number field sieve.
- V. I. Nechaev. Complexity of a determinate algorithm for the discrete logarithm. Mathematical Notes, 1994.Nechaev's generic lower bound: optimality of baby-step giant-step for DL.
- P. C. v. Oorschot, M. J. Wiener. Parallel Collision Search with Application to Hash Functions and Discrete Logarithms. ACM CCS 1994, 1994.Parallel collision search for discrete logs (rho/lambda) with EC cost estimates.
- C. P. Schnorr. Block Reduced Lattice Bases and Successive Minima. Combinatorics, Probability and Computing, 1994.Block-reduced bases bounds and improved nearby-lattice-point (CVP) algorithm.
- P. W. Shor. Polynominal time algorithms for discrete logarithms and factoring on a quantum computer. ANTS (Algorithmic Number Theory Symposium) 1994, 1994.Shor's quantum polynomial-time factoring and discrete log algorithms.
- S. P. W. Polynomial time algorithms for discrete logarithms and factoring on a quantum computer. (Abstract). ANTS (Algorithmic Number Theory Symposium) 1994, 1994.Shor's quantum polynomial-time factoring and discrete log algorithms (abstract).Same work as dblp:conf-ants-Shor94; counted there, weight 0 here.
199316 items1993.bib
- L. M. Adleman, J. DeMarrais. A Subexponential Algorithm for Discrete Logarithms over All Finite Fields. CRYPTO 1993, 1993.Subexponential index calculus DLP over all finite fields.
- D. J. Bernstein, A. K. Lenstra. A general number field sieve implementation. The development of the number field sieve, 1993.Early general number field sieve implementation.
- J. A. Buchmann, J. Loho, J. Zayer. An Implementation of the General Number Field Sieve. CRYPTO 1993, 1993.Early implementation of the general number field sieve.
- J. Buhler, H. W. Lenstra, C. B. Pomerance. Factoring integers with the number field sieve. The development of the number field sieve, 1993.NFS implementation, experiments and multi-polynomial improvement; RSA-130 appendix.
- D. Coppersmith. Modifications to the Number Field Sieve. Journal of Cryptology, 1993.NFS modifications lowering exponent constant; factoring with precomputation.
- D. Coppersmith. Solving linear equations over GF(2): block Lanczos algorithm. Linear Algebra and its Applications, 1993.Block Lanczos over GF(2), designed for factoring linear algebra stage.
- S. R. D., W. S. S. jun. A practical analysis of the elliptic curve factoring algorithm. Mathematics of Computation, 1993.Practical parameter analysis of ECM factoring and switching to QS.
- T. F. Denny, B. Dodson, A. K. Lenstra, M. S. Manasse. On the Factorization of RSA-120. CRYPTO 1993, 1993.Factorization of RSA-120.
- B. Dixon, A. K. Lenstra. Factoring Integers Using SIMD Sieves. EUROCRYPT 1993, 1993.SIMD sieving implementation for integer factoring.
- D. M. Gordon. GF(P) Using the Number Field Sieve. SIAM J. Discret. Math., 1993.Number field sieve for discrete logarithms in GF(p), L[1/3].
- C. Heckler, L. Thiele. Parallel Complexity of Lattice Basis Reduction and a Floating-Point Parallel Algorithm. PARLE, 1993.Parallel floating-point lattice reduction algorithm; v0.3.4 LLL-variant rule.
- L. A. K., L. H. W., L. A. K., L. H. W. Jr, M. M. S., P. J. M. The development of the number field sieve. 1993.Foundational NFS volume: NFS, lattice sieve, implementation.
- A. K. Lenstra, H. W. Lenstra, M. S. Manasse, J. M. Pollard. The factorization of the ninth Fermat number. Mathematics of Computation, 1993.NFS factorization of F9 with stated resources.
- J. M. Pollard. The lattice sieve. The development of the number field sieve, 1993.Pollard's lattice sieve for NFS relation collection.
- H. S., O. Y. Factorizations of \(17^ n - 1\) for \(n\leq 78\). Mathematica Japonica, 1993.Factorization tables of 17^n-1 via p-1 and ECM.
- O. Schirokauer. Discrete logarithms and local units. Philosophical Transactions of the Royal Society of London. Series A: Physical and Engineering Sciences, 1993.Number field sieve for discrete logs using local units (Schirokauer maps).
19928 items1992.bib
- d. l. R. B., d. T. M. H., v. d. W. A., v. D. A., W. J. P. H. A factorisation method based on an additive property. Die Suid-Afrikaanse Tydskrif vir Natuurwetenskap en Tegnologie, 1992.Elementary factoring method via consecutive-integer sums; weak but algorithmic.
- D. M. Gordon. Designing and Detecting Trapdoors for Discrete Log Cryptosystems. CRYPTO 1992, 1992.SNFS-trapdoored DL primes: design and detection; weak-parameter structure.
- D. M. Gordon, K. S. McCurley. Massively Parallel Computation of Discrete Logarithms. CRYPTO 1992, 1992.Massively parallel Coppersmith-type DL computation in GF(2^n); record-style computation.
- M. A. J., V. S. A. A note on cyclic groups, finite fields, and the discrete logarithm problem. Applicable Algebra in Engineering, Communication and Computing, 1992.Reduces DLP in Pell conics and matrix subgroups to finite-field DLP.
- H. W. Lenstra, C. B. Pomerance. A rigorous time bound for factoring integers. Journal of the AMS, 1992.First rigorous L(1/2) factoring bound via class group relations.
- S. V. M., S. S. O. On insecurity of cryptosystems based on generalized Reed-Solomon codes. Discrete Mathematics and Applications, 1992.Sidelnikov-Shestakov structural key recovery for GRS-code McEliece/Niederreiter.
- R. Peralta. A Quadratic Sieve on the n-Dimensional Cube. CRYPTO 1992, 1992.Hypercube variant of quadratic sieve, faster than MPQS.
- G. Villard. Parallel Lattice Basis Reduction. ISSAC 1992, 1992.Parallel LLL algorithm; lattice reduction algorithms count per v0.3.4.
19919 items1991.bib
- E. Bach. Toward A Theory of Pollard's Rho Method. Information and Computation, 1991.Rigorous analysis of Pollard rho factoring method.
- J. K. Gibson. Equivalent Goppa Codes and Trapdoors to McEliece's Public Key Cryptosystem. EUROCRYPT 1991, 1991.Equivalent Goppa codes yielding alternative McEliece trapdoors; structural.
- t. R. H. J. J., L. W. M., W. D. T. Factorization beyond the googol with MPQS on a single computer. CWI Quarterly, 1991.101-digit Cunningham factorization by MPQS in 475 Cray CPU-hours.
- V. I. Korzhik, A. I. Turkin. Cryptanalysis of McEliece's Public-Key Cryptosystem. EUROCRYPT 1991, 1991.Claimed efficient McEliece attack; generally regarded as unsubstantiated/incorrect.
- B. A. LaMacchia. Basis Reduction Algorithms and Subset Sum Problems. Defense Technical Information Center (DTIC), 1991.Seysen lattice basis reduction algorithm study; new reduction per v0.3.4.
- B. A. LaMacchia, A. M. Odlyzko. Computation of Discrete Logarithms in Prime Fields. Designs, Codes and Cryptography, 1991.Discrete logs modulo Sun's 192-bit prime with Gaussian integer method.
- C. Schnorr. Factoring Integers and Computing Discrete Logarithms via Diophantine Approximations. EUROCRYPT 1991, 1991.Factoring and prime-field DL via lattice Diophantine approximation.
- C. Schnorr, M. Euchner. Lattice Basis Reduction: Improved Practical Algorithms and Solving Subset Sum Problems. FCT, 1991.Introduces practical BKZ and deep insertions lattice reduction.
- B. Vallée. Generation of elements with small modular squares and provably fast integer factoring algorithms. Mathematics of Computation, 1991.Provable L(n)^sqrt(4/3) factoring via generating small modular squares.
19909 items1990.bib
- J. T. Coffey, R. M. Goodman. The complexity of information set decoding. IEEE Transactions on Information Theory, 1990.Complexity of information set decoding for general linear codes.
- M. Cosnard, J. Philippe. Achieving Superlinear Speedups for the Multiple Polynomial Quadratic Sieve Factoring Algorithm on a Distributed Memory Multiprocessor. CONPAR, 1990.Parallel MPQS factoring with superlinear speedups.
- S. A. J., W. H. C. An open architecture number sieve. Number Theory and Cryptography (LMS Lecture Note Series 154), 1990.OASiS special-purpose sieving hardware for factoring.
- M. P. L., S. R. D. An FFT extension to the \(P-1\) factoring algorithm. Mathematics of Computation, 1990.FFT extension to p-1 and p+1 factoring algorithms.
- B. A. LaMacchia, A. M. Odlyzko. Computation of Discrete Logarithms in Prime Fields (Extended Abstract). CRYPTO 1990, 1990.Index-calculus implementation computing DLs modulo a 192-bit prime.
- A. K. Lenstra, M. S. Manasse. Factoring With Two Large Primes. EUROCRYPT 1990, 1990.Two-large-prime variation for sieve factoring.
- A. K. Lenstra, H. W. L. Jr., M. S. Manasse, J. M. Pollard. The Number Field Sieve. STOC 1990, 1990.The number field sieve factoring algorithm.
- Ž. Miodrag. Some improvements of a decoding algorithm for linear codes. Mathematica Balkanica. New Series, 1990.Improved probabilistic decoding of linear codes combined with information set decoding.
- P. L. Montgomery, R. D. Silverman. An FFT extension to the 𝑃-1 factoring algorithm. Mathematics of Computation, 1990.FFT extension to P-1 factoring.
19894 items1989.bib
- V. Brigitte. Factorisation entière par génération quasi-uniforme de petits résidus quadratiques. (Integer factorization with quasi-uniform generation of small quadratic residues). Comptes Rendus de l'Académie des Sciences. Série I, 1989.Rigorous L(n)^sqrt(4/3) factoring via small quadratic residues.
- V. Brigitte, G. Marc, T. Philippe. How to guess \(\ell\)-th roots modulo n by reducing lattice bases. AAECC, 1988.Lattice reduction recovers l-th roots mod n given approximation; attacks Okamoto cryptosystem.
- J. Håstad, B. Just, J. C. Lagarias, C. P. Schnorr. Polynomial Time Algorithms for Finding Integer Relations among Real Numbers. STACS 1986, 1986.HJLS integer relation algorithms linked to LLL; generic reduction machinery.
- t. R. H. J. J., L. Walter, W. Dik. Factoring with the quadratic sieve on large vector computers. Journal of Computational and Applied Mathematics, 1989.Quadratic sieve on vector supercomputers; factored a 93-digit number.
19886 items1988.bib
- T. R. Caron, R. D. Silverman. Parallel implementation of the quadratic sieve. J. Supercomput., 1988.Parallel quadratic sieve implementation.
- R. Hans. Some soluble cases of the discrete logarithm problem. BIT Numerical Mathematics, 1988.Identifies special cases where DLP modulo n is easy via Fermat quotients.
- P. J. Lee, E. F. Brickell. An Observation on the Security of McEliece's Public-Key Cryptosystem. EUROCRYPT 1988, 1988.Lee-Brickell improved information set decoding attack on McEliece.
- C. Pomerance, J. W. Smith, R. Tuler. A Pipeline Architecture for Factoring Large Integers with the Quadratic Sieve Algorithm. SIAM Journal on Computing, 1988.Special-purpose pipeline architecture for quadratic sieve factoring.
- C. Schnorr. A More Efficient Algorithm for Lattice Basis Reduction. J. Algorithms, 1988.More efficient lattice basis reduction algorithm (Schnorr hierarchy).
- J. v. Tilburg. On the McEliece Public-Key Cryptosystem. CRYPTO 1988, 1988.Improved information-set attack on McEliece with work factor.
198710 items1987.bib
- C. M. Adams, H. Meijer. Security-Related Comments Regarding McEliece's Public-Key Cryptosystem. CRYPTO 1987, 1987.Early McEliece security comments: decoding attack cost and parameter choice; title only.
- W. H. C., W. M. C. On the parallel generation of the residues for the continued fraction factoring algorithm. Mathematics of Computation, 1987.Parallel residue generation for CFRAC/QS factoring on MPP.
- S. R. D. The multiple polynomial quadratic sieve. Mathematics of Computation, 1987.Multiple polynomial quadratic sieve algorithm and implementation.
- R. Kannan. Minkowski's Convex Body Theorem and Integer Programming. Mathematics of Operations Research, 1987.Kannan's n^O(n) SVP/CVP algorithms; foundation of enumeration.
- H. W. Lenstra. Factoring Integers with Elliptic Curves. The Annals of Mathematics, 1987.Lenstra elliptic curve factoring method.
- P. L. Montgomery. Speeding the Pollard and elliptic curve methods of factorization. Mathematics of Computation, 1987.Montgomery speedups for p-1, p+1 and ECM factoring.
- M. Pohst. A Modification of the LLL Reduction Algorithm. Journal of Symbolic Computation, 1987.Modification of LLL reduction algorithm.
- C. B. Pomerance. Fast, Rigorous Factorization and Discrete Logarithm Algorithms. Discrete Algorithms and Complexity, 1987.Rigorous subexponential factoring and discrete log algorithms.
- C. Schnorr. A Hierarchy of Polynomial Time Lattice Basis Reduction Algorithms. Theoretical Computer Science, 1987.Block Korkine-Zolotarev hierarchy of lattice reduction algorithms.
- M. Seysen. A probabilistic factorization algorithm with quadratic forms of negative discriminant. Mathematics of Computation, 1987.Seysen probabilistic class-group factoring algorithm.
19864 items1986.bib
- L. Babai. On Lovász' lattice reduction and the nearest lattice point problem. Combinatorica, 1986.Babai nearest-plane approximate CVP via LLL.Journal extension of dblp:conf-stacs-Babai85; counted at 0.33.
- D. Coppersmith, A. M. Odlzyko, R. Schroeppel. Discrete logarithms inGF(p). Algorithmica, 1986.Coppersmith-Odlyzko-Schroeppel index calculus for DL in GF(p).
- C. Don, O. A. M., S. Richard. Discrete logarithms in \(\mathrmGF(p)\). Algorithmica, 1986.L[1] index calculus algorithms for discrete logs in GF(p).
- C. Schnorr. A More Efficient Algorithm for Lattice Basis Reduction (Extended Abstract). ICALP 1986, 1986.Faster lattice basis reduction algorithm (Schnorr), per v0.3.4 reduction rule.
19856 items1985.bib
- D. J. A., H. D. B. New results on integer factorizations. Numerical Mathematics and Computing, Proc. 14th Manitoba Conference (Congressus Numerantium 46), 1985.QS on Cray factoring Cunningham numbers, 71-digit in 9.5 hours.
- L. Babai. On Lovász' Lattice Reduction and the Nearest Lattice Point Problem (Shortened Version). STACS 1984, 1984.Babai nearest-plane/rounding approximate CVP via LLL.
- B. I. F., M. R. C., V. S. A. Computing logarithms in \(\mathrmGF(2^n)\). CRYPTO 1984, 1985.Index-calculus algorithms and improvements for logarithms in GF(2^n).
- U. Fincke, M. E. Pohst. Improved methods for calculating vectors of short length in a lattice, including a complexity analysis. Mathematics of Computation, 1985.Fincke-Pohst short vector enumeration with complexity analysis.
- B. Shimshon, S. J. E. Analysis of the Herlestam and Johannesson discrete logarithm scheme in \(\mathrmGF(2^N)\) for large \(N\). BIT Numerical Mathematics, 1985.Complexity analysis of Herlestam-Johannesson DL scheme in GF(2^n).
- N. M. Stephens. Lenstra's Factorization Method Based on Elliptic Curves. CRYPTO 1985, 1985.Exposition/analysis of Lenstra's elliptic curve factoring method.
19847 items1984.bib
- I. F. Blake, R. Fuji‐Hara, R. C. Mullin, S. A. Vanstone. Computing Logarithms in Finite Fields of Characteristic Two. SIAM Journal on Algebraic Discrete Methods, 1984.Index-calculus DL algorithm in GF(2^n), feasibility for GF(2^127).
- D. A. Buell. The expectation of success using a Monte Carlo factoring method—some statistics on quadratic class numbers. Mathematics of Computation, 1984.Analysis of class-group Monte Carlo factoring method.
- D. Coppersmith. Fast evaluation of logarithms in fields of characteristic two. IEEE Transactions on Information Theory, 1984.Coppersmith's index calculus for GF(2^n) logarithms.
- M. R. J., D. J. H. Factoring medium-sized integers. Comput. J., 1984.Practical comparison of factoring algorithms for medium integers.
- C. Pomerance. The Quadratic Sieve Factoring Algorithm. EUROCRYPT 1984, 1984.Quadratic sieve factoring algorithm and improvements.
- C. P. Schnorr, H. W. Lenstra. A Monte Carlo factoring algorithm with linear storage. Mathematics of Computation, 1984.Schnorr-Lenstra class-group Monte Carlo factoring algorithm.
- A. Schönhage. Factorization of univariate integer polynomials by diophantine approximation and an improved basis reduction algorithm. ICALP 1984, 1984.Schonhage's improved basis reduction algorithm (faster LLL variant).
198310 items1983.bib
- J. A. Davis, D. B. Holdridge. Factorization Using the Quadratic Sieve Algorithm. CRYPTO 1983, 1983.Quadratic sieve implementation on CRAY to assess factoring state of art.
- T. E. Gamal. A Subexponential-Time Algorithm for Computing Discrete Logarithms over GF(p²). CRYPTO 1983, 1983.Subexponential discrete log algorithm over GF(p^2).
- S. J., S. C. P. Comparison of the efficiency of the factoring algorithms of Morrison-Brillhart and Schroeppel. Computing, 1983.Efficiency comparison of Morrison-Brillhart and Schroeppel factoring algorithms.
- B. John, L. D. H., S. J. L., T. Bryant, W. S. S. jun. Factorizations of \(b^n\pm 1\), \(b=2,3,5,6,7,10,11,12\) up to high powers. 1983.Cunningham project factorization tables of b^n+-1.
- E. Kaltofen. On the complexity of finding short vectors in integer lattices. Computer Algebra, 1983.Complexity of short vector finding / LLL in integer lattices.
- R. Kannan. Improved algorithms for integer programming and related lattice problems. STOC 1983, 1983.Kannan's HKZ-style enumeration algorithm for SVP/CVP; foundational lattice algorithm.
- G. J. L. Factoring large numbers with a quadratic sieve. Mathematics of Computation, 1983.Quadratic sieve implementation and timing comparison with CFRAC.
- C. Pomerance, J. W. Smith, S. S. W. Jr. New Ideas for Factoring Large Integers. CRYPTO 1983, 1983.CFRAC improvements and special factoring processor; RSA size implications.
- G. R., S. J. Modifikationen des Pollard-Algorithmus. Computing, 1983.Modifications of Pollard's factoring algorithm.
- M. C. Wunderlich. Recent Advances in the Design and Implementation of Large Integer Factorization Algorithms. IEEE S&P 1983, 1983.Quadratic sieve variant and parallel implementation with running-time analysis.
19823 items1982.bib
- M. E. Hellman, J. M. Reyneri. Fast Computation of Discrete Logarithms in GF(q). CRYPTO 1982, 1982.Hellman-Reyneri fast discrete log computation in GF(q).
- A. K. Lenstra, H. W. Lenstra, L. Lovász. Factoring polynomials with rational coefficients. Mathematische Annalen, 1982.LLL lattice basis reduction algorithm.
- H. C. Williams. A 𝑝+1 method of factoring. Mathematics of Computation, 1982.Williams' p+1 factoring method.
19814 items1981.bib
- R. P. Brent, J. M. Pollard. Factorization of the eighth Fermat number. Mathematics of Computation, 1981.Factorization of Fermat number F8 with modified rho.
- J. D. Dixon. Asymptotically fast factorization of integers. Mathematics of Computation, 1981.Dixon's random squares subexponential factoring algorithm.
- T. Herlestam. Discussion of Adleman's Subexponential Algorithm for Computing Discrete Logarithms. CRYPTO 1981, 1981.Discussion/analysis of Adleman's subexponential DL algorithm.
- M. E. Pohst. On the computation of lattice vectors of minimal length, successive minima and reduced bases with applications. ACM SIGSAM Bulletin, 1981.Pohst algorithms for shortest vectors, successive minima, reduced bases.
19801 item1980.bib
- B. R. P. An improved Monte Carlo factorization algorithm. BIT Numerical Mathematics, 1980.Brent's improved Pollard rho factoring algorithm.
19791 item1979.bib
- L. M. Adleman. A subexponential algorithm for the discrete logarithm problem with applications to cryptography. FOCS 1979, 1979.Adleman subexponential index-calculus DLP algorithm.
19782 items1978.bib
- J. M. Pollard. Monte Carlo Methods for Index Computation (mod p). Mathematics of Computation, 1978.Pollard rho and kangaroo methods for discrete logarithms; generic algorithms.
- J. M. Pollard. Monte Carlo methods for index computation (𝑚𝑜𝑑𝑝). Mathematics of Computation, 1978.Pollard rho and kangaroo methods for discrete logarithms.
19752 items1975.bib
- U. Dieter. How to calculate shortest vectors in a lattice. Mathematics of Computation, 1975.Dieter's algorithm for shortest lattice vectors via dual lattice.
- M. A. Morrison, J. D. Brillhart. A method of factoring and the factorization of 𝐹₇. Mathematics of Computation, 1975.Continued fraction factoring method and record factorization of F7.
19721 item1972.bib
- J. K. Omura. Iterative decoding of linear codes by a modulo-2 linear program. Discrete Mathematics, 1972.Omura iterative decoding of linear codes, early information-set-type decoding.
19621 item1962.bib
- E. Prange. The use of information sets in decoding cyclic codes. IEEE Transactions on Information Theory, 1962.Prange information-set decoding.
n.d.1 item
- K. NAGAO. Field Equations を法として合同な多項式の性質について. Institutional repository, n.d..Decomposition attack on ECDLP over extension fields via field-equation polynomials.