Nombre de documents


CV de Reynald Lercier

Article dans une revue10 documents

  • Reynald Lercier, Christophe Ritzenthaler, Jeroen Sijsling. Explicit Galois obstruction and descent for hyperelliptic curves with tamely cyclic reduced automorphism group. Mathematics of Computation, American Mathematical Society, 2016, 85 (300), pp.2011-2045. <10.1090/mcom3032>. <hal-00771342>
  • Jean-Marc Couveignes, Reynald Lercier. The geometry of some parameterizations and encodings. Advances in Mathematics of Communications, AIMS, 2014, 8 (4), pp.22. <10.3934/amc.2014.8.437>. <hal-00870112>
  • Jean-Marc Couveignes, Reynald Lercier. Fast construction of irreducible polynomials over finite fields. Israel Journal of Mathematics, The Hebrew University Magnes Press, 2013, 194 (1), pp.77-105. <10.1007/s11856-012-0070-8>. <hal-00456456>
  • Tony Ezome, Reynald Lercier. Elliptic periods and primality proving. Journal of Number Theory, Elsevier, 2013, 133 (1), pp.343-368. <10.1016/j.jnt.2012.07.007>. <hal-00456454>
  • Reynald Lercier, Christophe Ritzenthaler. Hyperelliptic curves and their invariants: geometric, arithmetic and algorithmic aspects. Journal of Algebra, Elsevier, 2012, 372, pp.595-636. <10.1016/j.jalgebra.2012.07.054>. <hal-00694121>
  • Jean-Marc Couveignes, Tony Ezome, Reynald Lercier. A faster pseudo-primality test. Rendiconti del Circolo Matematico di Palermo, 2012, 61 (2), pp.261-278. <10.1007/s12215-012-0088-0>. <hal-00694113>
  • Jean-Marc Couveignes, Reynald Lercier. Elliptic periods for finite fields. Finite Fields and Their Applications, Elsevier, 2009, 15 (1), pp.1-22. <10.1016/j.ffa.2008.07.004>. <hal-00630391>
  • Reynald Lercier, Thomas Sirvent. On Elkies subgroups of ℓ-torsion points in elliptic curves defined over a finite field. Journal de Théorie des Nombres de Bordeaux, Société Arithmétique de Bordeaux, 2008, 20 (3), pp.783-797. <10.5802/jtnb.650>. <hal-00456420>
  • Jean-Marc Couveignes, Reynald Lercier. Galois invariant smoothness basis. Series on Number Theory and its Applications, 2008, 5, pp.142-167. <10.1142/9789812793430_0008>. <hal-00373511>
  • Reynald Lercier, David Lubicz. A Quasi Quadratic Time Algorithm for Hyperelliptic Curve Point Counting. The Ramanujan Journal, 2006, 12 (3), pp.399-423. <10.1007/s11139-006-0151-6>. <hal-00456401>

Communication dans un congrès10 documents

  • Reynald Lercier, Christophe Ritzenthaler, Florent Rovetta, Jeroen Sijsling. Parametrizing the moduli space of curves and applications to smooth plane quartics over finite fields. Algorithmic Number Theory Symposium ANTS-XI, Aug 2014, GyeongJu, South Korea, France. Cambridge University Press, 17, pp.128-147, LMS Journal of Computation and Mathematics. <10.1112/S146115701400031X>. <hal-00980244>
  • Romain Basson, Reynald Lercier, Christophe Ritzenthaler, Jeroen Sijsling. An explicit expression of the L\"uroth invariant. Manuel Kauers. ISSAC'13, Jun 2013, Boston, United States. Association for Computing Machinery, pp.31-36, 2013, Proceedings of the 38th International Symposium on Symbolic and Algebraic Computation. <10.1145/2465506.2465507>. <hal-00770173>
  • Reynald Lercier, Christophe Ritzenthaler, Jeroen Sijsling. Fast computation of isomorphisms of hyperelliptic curves and explicit descent. Everett W. Howe and Kiran S. Kedlaya. ANTS-X, Jul 2012, San Diego, United States. Mathematical Sciences Publishers, The Open Book Series, 1, pp.463-486, 2013, Proceedings of the Tenth Algorithmic Number Theory Symposium. <10.2140/obs.2013.1.463>. <hal-00694117>
  • Jean-Gabriel Kammerer, Reynald Lercier, Guénaël Renault. Encoding points on hyperelliptic curves over finite fields in deterministic polynomial time. Marc Joye, Atsuko Miyaji and Akira Otsuka. PAIRING 2010 - 4th International Conference on Pairing-Based Cryptography, Dec 2010, Ishikawa, Japan. Springer, Pairing-Based Cryptography, 6487, pp.278-297, 2010, Lecture Notes in Computer Science. <10.1007/978-3-642-17455-1_18>. <hal-00694136>
  • Clément Dunand, Reynald Lercier. Normal Elliptic Bases and Torus-Based Cryptography. Daniel Panario; Gary McGuire; Gary L. Mullen; Igor E. Shparlinski. Finite Fields: Theory and Applications, Jul 2009, Dublin, Ireland. American Mathematical Society, Finite Fields: Theory and Applications, 518, pp.137-153, 2010, Contemporary Mathematics. <10.1090/conm/518>. <hal-00456465>
  • Antoine Joux, Reynald Lercier, David Naccache, Emmanuel Thomé. Oracle-Assisted Static Diffie-Hellman Is Easier Than Discrete Logarithms. Matthew G. Parker. Twelfth IMA International Conference on Cryptography and Coding, Dec 2009, Cirencester, United Kingdom. Springer Berlin / Heidelberg, 5921, pp.351-367, 2009, Lecture Notes in Computer Science; Cryptography and Coding 12th IMA International Conference, Cryptography and Coding 2009, Cirencester, UK, December 15-17, 2009. Proceedings. <>. <10.1007/978-3-642-10868-6_21>. <inria-00337753v2>
  • Pierre-Alain Fouque, Reynald Lercier, Denis Réal, Frédéric Valette. Fault Attack on elliptic curve with Montgomery ladder implementation. Luca Breveglieri and Shay Gueron and Israel Koren and David Naccache and Jean-Pierre Seifert. 5th Workshop on Fault Diagnosis and Tolerance in Cryptography : FDTC 2008, Aug 2008, Washington DC, United States. IEEE Computer Society Press, pp.92-98, 2008, <10.1109/FDTC.2008.15>. <hal-00373562>
  • Antoine Joux, Reynald Lercier. Algorithmes pour résoudre le problème du logarithme discret dans les corps finis. Jean-Marc Couveignes, Reynald Lercier, Robert Rolland. Nouvelles méthodes mathématiques en cryptographie, Jun 2007, Marseille, France. Société Mathématique de France, pp.23-53, 2007. <hal-00603804>
  • Jean-Marc Couveignes, Reynald Lercier. Galois invariant smoothness basis. SAGA, May 2007, Papeete, France. pp.142-167, 2008, Series on Number Theory and Its Applications. <hal-00630394>
  • Antoine Joux, Reynald Lercier. The Function Field Sieve in the Medium Prime Case. Serge Vaudenay. EUROCRYPT 2006, May 2006, Saint Petersbourg, Russia. Springer, Advances in Cryptology - 24th Annual International Conference on the Theory and Applications of Cryptographic Techniques, 4004, pp.254-270, 2006, Lecture Notes in Computer Science. <10.1007/11761679_16>. <hal-00456191>

Chapitre d'ouvrage2 documents

  • Antoine Joux, Reynald Lercier. Number Field Sieve for DLP. Encyclopedia of Cryptography and Security, Springer, pp.867-873, 2011, <10.1007/978-1-4419-5906-5_834>. <hal-00665015>
  • Reynald Lercier, David Lubicz, Frederik Vercauteren. Point Counting on Elliptic and Hyperelliptic Curves. Handbook of Elliptic and Hyperelliptic Curve Cryptography, chapman & Hall/CRC, pp.407-449, 2006, <10.1201/9781420034981>. <hal-00456408>

Pré-publication, Document de travail4 documents

  • Reynald Lercier, Christophe Ritzenthaler, Jeroen Sijsling. Reconstructing plane quartics from their invariants. 36 pages. 2016. <hal-01344035>
  • Reynald Lercier, Marc Olive. Covariant algebra of the binary nonic and the binary decimic. 2015. <hal-01207391>
  • Christophe Ritzenthaler, Reynald Lercier, Florent Rovetta, Jeroen Sijsling, Benjamin Smith. Distributions of traces of Frobenius for smooth plane curves over finite fields. 2015. <hal-01217995>
  • Jean-Marc Couveignes, Tony Ezome, Reynald Lercier. Elliptic periods and primality proving (extented version). 2009. <hal-01102000>

HDR1 document

  • Reynald Lercier. Contributions à l'arithmétique de la cryptographie. Mathématiques [math]. Université d'Aix-Marseille II, 2004. <tel-01101947>

Thèse1 document

  • Reynald Lercier. Algorithmique des courbes elliptiques dans les corps finis. Informatique [cs]. Ecole Polytechnique, 1997. Français. <tel-01101949>