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Reynald Lercier
Reynald Lercier
Institut de Recherche Mathématique de Rennes
Bestätigte E-Mail-Adresse bei m4x.org
Titel
Zitiert von
Zitiert von
Jahr
Improvements to the general number field sieve for discrete logarithms in prime fields. A comparison with the Gaussian integer method
A Joux, R Lercier
Mathematics of computation 72 (242), 953-967, 2003
1612003
The number field sieve in the medium prime case
A Joux, R Lercier, N Smart, F Vercauteren
Annual International Cryptology Conference, 326-344, 2006
1572006
Fault attack on elliptic curve Montgomery ladder implementation
PA Fouque, R Lercier, D Réal, F Valette
2008 5th Workshop on Fault Diagnosis and Tolerance in Cryptography, 92-98, 2008
1312008
The function field sieve in the medium prime case
A Joux, R Lercier
Annual International Conference on the Theory and Applications of …, 2006
1302006
Counting the number of points on elliptic curves over finite fields: strategies and performances
R Lercier, F Morain
International Conference on the Theory and Applications of Cryptographic …, 1995
1131995
The function field sieve is quite special
A Joux, R Lercier
International Algorithmic Number Theory Symposium, 431-445, 2002
912002
Hyperelliptic curves and their invariants: geometric, arithmetic and algorithmic aspects
R Lercier, C Ritzenthaler
Journal of Algebra 372, 595-636, 2012
812012
Algorithmique des courbes elliptiques dans les corps finis
R Lercier
Ecole Polytechnique, 1997
781997
A quasi quadratic time algorithm for hyperelliptic curve point counting
R Lercier, D Lubicz
The Ramanujan Journal 12 (3), 399-423, 2006
592006
Finding Good Random Elliptic Curves for Cryptosystems Defined over
R Lercier
International Conference on the Theory and Applications of Cryptographic …, 1997
571997
Elliptic periods for finite fields
JM Couveignes, R Lercier
Finite fields and their applications 15 (1), 1-22, 2009
562009
Computing isogenies in
R Lercier
International Algorithmic Number Theory Symposium, 197-212, 1996
521996
Counting points on elliptic curves over finite fields of small characteristic in quasi quadratic time
R Lercier, D Lubicz
International Conference on the Theory and Applications of Cryptographic …, 2003
452003
On Elkies subgroups of -torsion points in elliptic curves defined over a finite field
R Lercier, T Sirvent
Journal de théorie des nombres de Bordeaux 20 (3), 783-797, 2008
392008
Fast construction of irreducible polynomials over finite fields
JM Couveignes, R Lercier
Israel Journal of Mathematics 194 (1), 77-105, 2013
332013
Algorithms for computing isogenies between elliptic curves
R Lercier, F Morain
AMS IP STUDIES IN ADVANCED MATHEMATICS 7, 77-96, 1998
281998
Parametrizing the moduli space of curves and applications to smooth plane quartics over finite fields
R Lercier, C Ritzenthaler, F Rovetta, J Sijsling
LMS Journal of Computation and Mathematics 17 (A), 128-147, 2014
272014
“Chinese & Match”, an alternative to Atkin’s “Match and Sort” method used in the SEA algorithm
A Joux, R Lercier
Mathematics of computation 70 (234), 827-836, 2001
272001
Encoding points on hyperelliptic curves over finite fields in deterministic polynomial time
JG Kammerer, R Lercier, G Renault
International Conference on Pairing-Based Cryptography, 278-297, 2010
262010
Oracle-assisted static Diffie-Hellman is easier than discrete logarithms
A Joux, R Lercier, D Naccache, E Thomé
IMA International Conference on Cryptography and Coding, 351-367, 2009
262009
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