Imperfect forward secrecy: How Diffie-Hellman fails in practice D Adrian, K Bhargavan, Z Durumeric, P Gaudry, M Green, JA Halderman, ... Proceedings of the 22nd ACM SIGSAC Conference on Computer and Communications …, 2015 | 739 | 2015 |
Factorization of a 768-bit RSA modulus T Kleinjung, K Aoki, J Franke, AK Lenstra, E Thomé, JW Bos, P Gaudry, ... Advances in Cryptology–CRYPTO 2010: 30th Annual Cryptology Conference, Santa …, 2010 | 695 | 2010 |
Constructive and destructive facets of Weil descent on elliptic curves P Gaudry, F Hess, NP Smart Journal of Cryptology 15, 19-46, 2002 | 468 | 2002 |
A heuristic quasi-polynomial algorithm for discrete logarithm in finite fields of small characteristic R Barbulescu, P Gaudry, A Joux, E Thomé Annual International Conference on the Theory and Applications of …, 2014 | 388 | 2014 |
An algorithm for solving the discrete log problem on hyperelliptic curves P Gaudry International Conference on the Theory and Applications of Cryptographic …, 2000 | 300 | 2000 |
Counting points on hyperelliptic curves over finite fields P Gaudry, R Harley International Algorithmic Number Theory Symposium, 313-332, 2000 | 229 | 2000 |
Index calculus for abelian varieties of small dimension and the elliptic curve discrete logarithm problem P Gaudry Journal of Symbolic computation 44 (12), 1690-1702, 2009 | 206* | 2009 |
A double large prime variation for small genus hyperelliptic index calculus P Gaudry, E Thomé, N Thériault, C Diem Mathematics of computation 76 (257), 475-492, 2007 | 204 | 2007 |
Recent progress on the elliptic curve discrete logarithm problem SD Galbraith, P Gaudry Designs, Codes and Cryptography 78, 51-72, 2016 | 166 | 2016 |
A general framework for subexponential discrete logarithm algorithms A Enge, P Gaudry Acta Arithmetica 102, 83-103, 2002 | 158 | 2002 |
Fast genus 2 arithmetic based on Theta functions P Gaudry Journal of Mathematical Cryptology 1 (3), 243-265, 2007 | 157 | 2007 |
An extension of Satoh's algorithm and its implementation M Fouquet, P Gaudry, R Harley Journal of the Ramanujan Mathematical Society 15, 281-318, 2000 | 129 | 2000 |
Speeding up the discrete log computation on curves with automorphisms I Duursma, P Gaudry, F Morain Advances in Cryptology-ASIACRYPT’99: International Conference on the Theory …, 1999 | 129 | 1999 |
Genus 2 point counting over prime fields P Gaudry, É Schost Journal of Symbolic Computation 47 (4), 368-400, 2012 | 113 | 2012 |
Linear recurrences with polynomial coefficients and application to integer factorization and Cartier–Manin operator A Bostan, P Gaudry, É Schost SIAM Journal on Computing 36 (6), 1777-1806, 2007 | 112 | 2007 |
Improving NFS for the discrete logarithm problem in non-prime finite fields R Barbulescu, P Gaudry, A Guillevic, F Morain Annual International Conference on the Theory and Applications of …, 2015 | 97 | 2015 |
Construction of secure random curves of genus 2 over prime fields P Gaudry, É Schost Advances in Cryptology-EUROCRYPT 2004: International Conference on the …, 2004 | 94 | 2004 |
Faster Multiplication in GF(2)[x] RP Brent, P Gaudry, E Thomé, P Zimmermann Algorithmic Number Theory: 8th International Symposium, ANTS-VIII Banff …, 2008 | 89 | 2008 |
The tower number field sieve R Barbulescu, P Gaudry, T Kleinjung International Conference on the Theory and Application of Cryptology and …, 2015 | 86 | 2015 |
An extension of Kedlaya’s point-counting algorithm to superelliptic curves P Gaudry, N Gürel Advances in Cryptology—ASIACRYPT 2001: 7th International Conference on the …, 2001 | 83 | 2001 |