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Reynald Lercier
Reynald Lercier
Institut de Recherche Mathématique de Rennes
Verified email at m4x.org
Title
Cited by
Cited by
Year
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
1682003
The number field sieve in the medium prime case
A Joux, R Lercier, N Smart, F Vercauteren
Annual International Cryptology Conference, 326-344, 2006
1642006
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
1432008
The function field sieve in the medium prime case
A Joux, R Lercier
Annual International Conference on the Theory and Applications of …, 2006
1372006
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
1241995
The function field sieve is quite special
A Joux, R Lercier
International Algorithmic Number Theory Symposium, 431-445, 2002
922002
Hyperelliptic curves and their invariants: geometric, arithmetic and algorithmic aspects
R Lercier, C Ritzenthaler
Journal of algebra 372, 595-636, 2012
912012
Algorithmique des courbes elliptiques dans les corps finis
R Lercier
Ecole Polytechnique, 1997
861997
Elliptic periods for finite fields
JM Couveignes, R Lercier
Finite fields and their applications 15 (1), 1-22, 2009
612009
A quasi quadratic time algorithm for hyperelliptic curve point counting
R Lercier, D Lubicz
The Ramanujan Journal 12 (3), 399-423, 2006
612006
Finding Good Random Elliptic Curves for Cryptosystems Defined over
R Lercier
Advances in Cryptology—EUROCRYPT’97: International Conference on the Theory …, 1997
591997
Computing isogenies in
R Lercier
International Algorithmic Number Theory Symposium, 197-212, 1996
541996
A multifractal mass transference principle for Gibbs measures with applications to dynamical Diophantine approximation
AH Fan, J Schmeling, S Troubetzkoy
Proceedings of the London Mathematical Society 107 (5), 1173-1219, 2013
532013
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
482003
Fast construction of irreducible polynomials over finite fields
JM Couveignes, R Lercier
Israel Journal of Mathematics 194, 77-105, 2013
452013
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
412008
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
362014
Plane quartics over with complex multiplication
P Kılıçer, H Labrande, R Lercier, C Ritzenthaler, J Sijsling, M Streng
arXiv preprint arXiv:1701.06489, 2017
322017
Encoding points on hyperelliptic curves over finite fields in deterministic polynomial time
JG Kammerer, R Lercier, G Renault
Pairing-Based Cryptography-Pairing 2010: 4th International Conference …, 2010
292010
Algorithms for computing isogenies between elliptic curves
R Lercier, F Morain
AMS IP STUDIES IN ADVANCED MATHEMATICS 7, 77-96, 1998
291998
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