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Reynald Lercier
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Books and Theses
- 1997
- [b1]Reynald Lercier:
Algorithmique des courbes elliptiques dans les corps finis. (Algorithms for elliptic curves over finite fields). École Polytechnique, Palaiseau, France, 1997
Journal Articles
- 2020
- [j10]Reynald Lercier, Christophe Ritzenthaler, Jeroen Sijsling
:
Reconstructing Plane Quartics from Their Invariants. Discret. Comput. Geom. 63(1): 73-113 (2020) - 2019
- [j9]Reynald Lercier, Christophe Ritzenthaler, Florent Rovetta, Jeroen Sijsling, Benjamin Smith
:
Distributions of Traces of Frobenius for Smooth Plane Curves Over Finite Fields. Exp. Math. 28(1): 39-48 (2019) - 2017
- [j8]Victor Cauchois, Clément Gomez, Reynald Lercier:
Grøstl Distinguishing Attack: A New Rebound Attack of an AES-like Permutation. IACR Trans. Symmetric Cryptol. 2017(3): 1-23 (2017) - 2016
- [j7]Reynald Lercier, Christophe Ritzenthaler, Jeroen Sijsling:
Explicit Galois obstruction and descent for hyperelliptic curves with tamely cyclic reduced automorphism group. Math. Comput. 85(300): 2011-2045 (2016) - 2014
- [j6]Jean Marc Couveignes
, Reynald Lercier:
The geometry of some parameterizations and encodings. Adv. Math. Commun. 8(4): 437-458 (2014) - [j5]Reynald Lercier, Christophe Ritzenthaler, Florent Rovetta, Jeroen Sijsling:
Parametrizing the moduli space of curves and applications to smooth plane quartics over finite fields. LMS J. Comput. Math. 17(Theory): 128-147 (2014) - 2009
- [j4]Jean Marc Couveignes
, Reynald Lercier:
Elliptic periods for finite fields. Finite Fields Their Appl. 15(1): 1-22 (2009) - 2003
- [j3]Antoine Joux
, Reynald Lercier:
Improvements to the general number field sieve for discrete logarithms in prime fields. A comparison with the gaussian integer method. Math. Comput. 72(242): 953-967 (2003) - 2001
- [j2]Antoine Joux
, Reynald Lercier:
"Chinese & Match", an alternative to Atkin's "Match and Sort" method used in the SEA algorithm. Math. Comput. 70(234): 827-836 (2001) - 2000
- [j1]Reynald Lercier, François Morain:
Computing isogenies between elliptic curves over Fpn using Couveignes's algorithm. Math. Comput. 69(229): 351-370 (2000)
Conference and Workshop Papers
- 2013
- [c11]Romain Basson, Reynald Lercier, Christophe Ritzenthaler, Jeroen Sijsling:
An explicit expression of the Lüroth invariant. ISSAC 2013: 31-36 - 2010
- [c10]Jean-Gabriel Kammerer, Reynald Lercier, Guénaël Renault:
Encoding Points on Hyperelliptic Curves over Finite Fields in Deterministic Polynomial Time. Pairing 2010: 278-297 - 2009
- [c9]Antoine Joux
, Reynald Lercier, David Naccache, Emmanuel Thomé
:
Oracle-Assisted Static Diffie-Hellman Is Easier Than Discrete Logarithms. IMACC 2009: 351-367 - 2008
- [c8]Pierre-Alain Fouque
, Reynald Lercier, Denis Réal, Frédéric Valette:
Fault Attack onElliptic Curve Montgomery Ladder Implementation. FDTC 2008: 92-98 - 2006
- [c7]Antoine Joux
, Reynald Lercier, Nigel P. Smart, Frederik Vercauteren:
The Number Field Sieve in the Medium Prime Case. CRYPTO 2006: 326-344 - [c6]Antoine Joux
, Reynald Lercier:
The Function Field Sieve in the Medium Prime Case. EUROCRYPT 2006: 254-270 - 2003
- [c5]Reynald Lercier, David Lubicz:
Counting Points on Elliptic Curves over Finite Fields of Small Characteristic in Quasi Quadratic Time. EUROCRYPT 2003: 360-373 - 2002
- [c4]Antoine Joux
, Reynald Lercier:
The Function Field Sieve Is Quite Special. ANTS 2002: 431-445 - 1997
- [c3]Reynald Lercier:
Finding Good Random Elliptic Curves for Cryptosystems Defined over F2n. EUROCRYPT 1997: 379-392 - 1996
- [c2]Reynald Lercier:
Computing Isogenies in F2n. ANTS 1996: 197-212 - 1995
- [c1]Reynald Lercier, François Morain:
Counting the Number of Points on Elliptic Curves over Finite Fields: Strategies and Performance. EUROCRYPT 1995: 79-94
Reference Works
- 2011
- [r2]Antoine Joux
, Reynald Lercier:
Number Field Sieve for the DLP. Encyclopedia of Cryptography and Security (2nd Ed.) 2011: 867-873 - 2005
- [r1]Reynald Lercier, David Lubicz, Frederik Vercauteren:
Point Counting on Elliptic and Hyperelliptic Curves. Handbook of Elliptic and Hyperelliptic Curve Cryptography 2005: 406-453
Informal and Other Publications
- 2017
- [i6]Victor Cauchois, Clément Gomez, Reynald Lercier:
Generalized Distinguishing Attack: A New Cryptanalysis of AES-like Permutations. IACR Cryptol. ePrint Arch. 2017: 508 (2017) - 2010
- [i5]Jean-Gabriel Kammerer, Reynald Lercier, Guénaël Renault:
Encoding points on hyperelliptic curves over finite fields in deterministic polynomial time. CoRR abs/1005.1454 (2010) - 2009
- [i4]Clément Dunand, Reynald Lercier:
Normal Elliptic Bases and Torus-Based Cryptography. CoRR abs/0909.0236 (2009) - 2008
- [i3]Antoine Joux, Reynald Lercier, David Naccache, Emmanuel Thomé:
Oracle-Assisted Static Diffie-Hellman Is Easier Than Discrete Logarithms. IACR Cryptol. ePrint Arch. 2008: 217 (2008) - 2006
- [i2]Antoine Joux, Reynald Lercier:
Counting points on elliptic curves in medium characteristic. IACR Cryptol. ePrint Arch. 2006: 176 (2006) - 2004
- [i1]Éliane Jaulmes, Reynald Lercier:
FRMAC, a Fast Randomized Message Authentication Code. IACR Cryptol. ePrint Arch. 2004: 166 (2004)
Coauthor Index
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