Basson, Romain; Lercier, Reynald; Ritzenthaler, Christophe; Sijsling, Jeroen An explicit expression of the Lüroth invariant. (English) Zbl 1360.68915 Kauers, Manuel (ed.), Proceedings of the 38th international symposium on symbolic and algebraic computation, ISSAC 2013, Boston, MA, USA, June 26–29, 2013. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-2059-7). 31-36 (2013). MSC: 68W30 14H50 14Q05 PDF BibTeX XML Cite \textit{R. Basson} et al., in: Proceedings of the 38th international symposium on symbolic and algebraic computation, ISSAC 2013, Boston, MA, USA, June 26--29, 2013. New York, NY: Association for Computing Machinery (ACM). 31--36 (2013; Zbl 1360.68915) Full Text: DOI arXiv
Couveignes, Jean-Marc; Lercier, Reynald Fast construction of irreducible polynomials over finite fields. (English) Zbl 1287.11141 Isr. J. Math. 194, Part A, 77-105 (2013). MSC: 11Y16 11T06 12E05 68Q25 68W20 68W30 PDF BibTeX XML Cite \textit{J.-M. Couveignes} and \textit{R. Lercier}, Isr. J. Math. 194, Part A, 77--105 (2013; Zbl 1287.11141) Full Text: DOI arXiv
Joux, Antoine; Lercier, Reynald Algorithms to solve the finite field discrete logarithm problem. (Algorithmes pour résoudre le problème du logarithme discret dans les corps finis.) (French. English summary) Zbl 1235.11116 Couveignes, Jean-Marc et al., Nouvelle méthodes mathématiques en cryptographie. Paris: Société Mathématique de France. SMF Journée Annuelle 2007, 23-53 (2007). MSC: 11Y16 12E20 68Q25 94A60 PDF BibTeX XML Cite \textit{A. Joux} and \textit{R. Lercier}, SMF Journ. Annu. 2007, 23--53 (2007; Zbl 1235.11116)
Joux, Antoine; Lercier, Reynald Improvements to the general number field sieve for discrete logarithms in prime fields. A comparison with the Gaussian integer method. (English) Zbl 1099.11074 Math. Comput. 72, No. 242, 953-967 (2003). MSC: 11Y16 11T71 11Y40 68Q25 94A60 PDF BibTeX XML Cite \textit{A. Joux} and \textit{R. Lercier}, Math. Comput. 72, No. 242, 953--967 (2003; Zbl 1099.11074) Full Text: DOI
Joux, Antoine; Lercier, Reynald “Chinese & Match”, an alternative to Atkin’s “Match and Sort” method used in the SEA algorithm. (English) Zbl 1011.11080 Math. Comput. 70, No. 234, 827-836 (2001). MSC: 11Y16 68W30 PDF BibTeX XML Cite \textit{A. Joux} and \textit{R. Lercier}, Math. Comput. 70, No. 234, 827--836 (2001; Zbl 1011.11080) Full Text: DOI
Lercier, Reynald; Morain, François Counting the number of points on elliptic curves over finite fields: strategies and performances. (English) Zbl 0903.11029 Guillou, Louis C. (ed.) et al., Advances in cryptology - EUROCRYPT ’95. International conference on the theory and application of cryptographic techniques, Saint-Malo, France, May 21-25, 1995. Proceedings. Berlin: Springer-Verlag. Lect. Notes Comput. Sci. 921, 79-94 (1995). MSC: 11Y16 94A60 14H52 68W30 PDF BibTeX XML Cite \textit{R. Lercier} and \textit{F. Morain}, Lect. Notes Comput. Sci. 921, 1--12 (1995; Zbl 0903.11029)