Reduction type of smooth plane quartics
Reynald Lercier
,
Qing Liu
,
Elisa Lorenzo García
,
Christophe Ritzenthaler
Article dans une revue
hal-03412558v1
Actions
Partager
Gmail
Facebook
X
LinkedIn
More
The Number Field Sieve in the Medium Prime Case
Antoine Joux
,
Reynald Lercier
,
Nigel Smart
,
Frederik Vercauteren
Communication dans un congrès
hal-01102034v1
Actions
Partager
Gmail
Facebook
X
LinkedIn
More
Plane quartics over $\mathbb {Q}$ with complex multiplication
Pinar K{\i}l\i\c{c}er
,
Hugo Labrande
,
Reynald Lercier
,
Christophe Ritzenthaler
,
Jeroen Sijsling
,
et al.
Article dans une revue
hal-01856433v1
Actions
Partager
Gmail
Facebook
X
LinkedIn
More
Siegel modular forms of degree three and invariants of ternary quartics
Reynald Lercier
,
Christophe Ritzenthaler
Proceedings of the American Mathematical Society , In press
Article dans une revue
hal-02186424v1
Actions
Partager
Gmail
Facebook
X
LinkedIn
More
On Elkies subgroups of ℓ-torsion points in elliptic curves defined over a finite field
Reynald Lercier
,
Thomas Sirvent
Article dans une revue
hal-00456420v1
Actions
Partager
Gmail
Facebook
X
LinkedIn
More
Point Counting on Elliptic and Hyperelliptic Curves
Reynald Lercier
,
David Lubicz
,
Frederik Vercauteren
Handbook of Elliptic and Hyperelliptic Curve Cryptography , chapman & Hall/CRC, pp.407-449, 2006,
⟨10.1201/9781420034981⟩
Chapitre d'ouvrage
hal-00456408v1
Actions
Partager
Gmail
Facebook
X
LinkedIn
More
Galois invariant smoothness basis
Jean-Marc Couveignes
,
Reynald Lercier
SAGA , May 2007, Papeete, France. pp.142-167
Communication dans un congrès
hal-00630394v1
Actions
Partager
Gmail
Facebook
X
LinkedIn
More
Encoding points on hyperelliptic curves over finite fields in deterministic polynomial time
Jean-Gabriel Kammerer
,
Reynald Lercier
,
Guénaël Renault
Communication dans un congrès
hal-00694136v1
Actions
Partager
Gmail
Facebook
X
LinkedIn
More
Elliptic periods and primality proving
Tony Ezome
,
Reynald Lercier
Article dans une revue
hal-00456454v1
Actions
Partager
Gmail
Facebook
X
LinkedIn
More
Counting Points on Elliptic Curves over Finite Fields of Small Characteristic in Quasi Quadratic Time
Reynald Lercier
,
David Lubicz
Communication dans un congrès
hal-01102038v1
Actions
Partager
Gmail
Facebook
X
LinkedIn
More
Improvements to the general number field sieve for discrete logarithms in prime fields
Antoine Joux
,
Reynald Lercier
Article dans une revue
hal-01102016v1
Actions
Partager
Gmail
Facebook
X
LinkedIn
More
An explicit expression of the L\"uroth invariant
Romain Basson
,
Reynald Lercier
,
Christophe Ritzenthaler
,
Jeroen Sijsling
Communication dans un congrès
hal-00770173v1
Actions
Partager
Gmail
Facebook
X
LinkedIn
More
The Function Field Sieve in the Medium Prime Case
Antoine Joux
,
Reynald Lercier
Communication dans un congrès
hal-00456191v1
Actions
Partager
Gmail
Facebook
X
LinkedIn
More
Explicit Galois obstruction and descent for hyperelliptic curves with tamely cyclic reduced automorphism group
Reynald Lercier
,
Christophe Ritzenthaler
,
Jeroen Sijsling
Article dans une revue
hal-00771342v1
Actions
Partager
Gmail
Facebook
X
LinkedIn
More
Parametrizing the moduli space of curves and applications to smooth plane quartics over finite fields
Reynald Lercier
,
Christophe Ritzenthaler
,
Florent Rovetta
,
Jeroen Sijsling
Communication dans un congrès
hal-00980244v1
Actions
Partager
Gmail
Facebook
X
LinkedIn
More
Finding Good Random Elliptic Curves for Cryptosystems Defined Over $GF(2^n)$
Reynald Lercier
Communication dans un congrès
hal-01102043v1
Actions
Partager
Gmail
Facebook
X
LinkedIn
More
Elliptic periods for finite fields
Jean-Marc Couveignes
,
Reynald Lercier
Article dans une revue
hal-00630391v1
Actions
Partager
Gmail
Facebook
X
LinkedIn
More
Fast computation of isomorphisms of hyperelliptic curves and explicit descent
Reynald Lercier
,
Christophe Ritzenthaler
,
Jeroen Sijsling
Communication dans un congrès
hal-00694117v1
Actions
Partager
Gmail
Facebook
X
LinkedIn
More
Elliptic periods and primality proving (extented version)
Jean-Marc Couveignes
,
Tony Ezome
,
Reynald Lercier
2009
Pré-publication, Document de travail
hal-01102000v1
Actions
Partager
Gmail
Facebook
X
LinkedIn
More
Fault Attack on elliptic curve with Montgomery ladder implementation
Pierre-Alain Fouque
,
Reynald Lercier
,
Denis Réal
,
Frédéric Valette
5th Workshop on Fault Diagnosis and Tolerance in Cryptography : FDTC 2008 , Aug 2008, Washington DC, United States. pp.92-98,
⟨10.1109/FDTC.2008.15⟩
Communication dans un congrès
hal-00373562v1
Actions
Partager
Gmail
Facebook
X
LinkedIn
More
Number Field Sieve for DLP
Antoine Joux
,
Reynald Lercier
Chapitre d'ouvrage
hal-00665015v1
Actions
Partager
Gmail
Facebook
X
LinkedIn
More
Courbes Elliptiques et cryptographie
Reynald Lercier
Revue Scientifique et Technique de la Defense , 64, Délégation générale pour l'armement,, pp.59-66, 2004
Chapitre d'ouvrage
hal-01102037v1
Actions
Partager
Gmail
Facebook
X
LinkedIn
More
Galois invariant smoothness basis
Jean-Marc Couveignes
,
Reynald Lercier
Algebraic Geometry and Its Applications , Jean Chaumine, James Hirschfeld, Robert Rolland, May 2007, Papeete, France. pp.142-167,
⟨10.1142/9789812793430_0008⟩
Communication dans un congrès
hal-00373511v1
Actions
Partager
Gmail
Facebook
X
LinkedIn
More
Groestl Distinguishing Attack: A New Rebound Attack of an AES-like Permutation
Victor Cauchois
,
Clément Gomez
,
Reynald Lercier
FSE 2018 - 25th International Conference on Fast Software Encryption , Mar 2018, Bruges, Belgium
Communication dans un congrès
hal-01668116v1
Actions
Partager
Gmail
Facebook
X
LinkedIn
More
Hyperelliptic curves and their invariants: geometric, arithmetic and algorithmic aspects
Reynald Lercier
,
Christophe Ritzenthaler
Article dans une revue
hal-00694121v1
Actions
Partager
Gmail
Facebook
X
LinkedIn
More
Counting the Number of Points on Elliptic Curves over Finite Fields: Strategies and Performances
Reynald Lercier
,
François Morain
Communication dans un congrès
hal-01102046v1
Actions
Partager
Gmail
Facebook
X
LinkedIn
More
Computing isogenies in $GF(2^n)$
Reynald Lercier
Communication dans un congrès
istex
hal-01102045v1
Actions
Partager
Gmail
Facebook
X
LinkedIn
More
A Quasi Quadratic Time Algorithm for Hyperelliptic Curve Point Counting
Reynald Lercier
,
David Lubicz
Article dans une revue
istex
hal-00456401v1
Actions
Partager
Gmail
Facebook
X
LinkedIn
More
Algorithmique des courbes elliptiques dans les corps finis
Reynald Lercier
Informatique [cs]. Ecole Polytechnique, 1997. Français.
⟨NNT : ⟩
Thèse
tel-01101949v1
Actions
Partager
Gmail
Facebook
X
LinkedIn
More
Reduction type of non-hyperelliptic genus 3 curves
Reynald Lercier
,
Qing Liu
,
Elisa Lorenzo García
,
Christophe Ritzenthaler
Algebra & Number Theory , In press
Article dans une revue
hal-01762200v1
Actions
Partager
Gmail
Facebook
X
LinkedIn
More