Couveignes, Jean-Marc; Lercier, Reynald The geometry of some parameterizations and encodings. (English) Zbl 1314.14053 Adv. Math. Commun. 8, No. 4, 437-458 (2014). Reviewer: Juan Tena Ayuso (Valladolid) MSC: 14H45 14E20 11G20 12G05 11S20 PDF BibTeX XML Cite \textit{J.-M. Couveignes} and \textit{R. Lercier}, Adv. Math. Commun. 8, No. 4, 437--458 (2014; Zbl 1314.14053) 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
Kammerer, Jean-Gabriel; Lercier, Reynald; Renault, Guénaël Encoding points on hyperelliptic curves over finite fields in deterministic polynomial time. (English) Zbl 1290.94100 Joye, Marc (ed.) et al., Pairing-based cryptography – Pairing 2010. 4th international conference, Yamanaka Hot Spring, Japan, December 13–15, 2010. Proceedings. Berlin: Springer (ISBN 978-3-642-17454-4/pbk). Lecture Notes in Computer Science 6487, 278-297 (2010). MSC: 94A60 12F10 14G50 PDF BibTeX XML Cite \textit{J.-G. Kammerer} et al., Lect. Notes Comput. Sci. 6487, 278--297 (2010; Zbl 1290.94100) Full Text: DOI
Couveignes, Jean-Marc; Lercier, Reynald Elliptic periods for finite fields. (English) Zbl 1216.11106 Finite Fields Appl. 15, No. 1, 1-22 (2009). MSC: 11T30 12E20 PDF BibTeX XML Cite \textit{J.-M. Couveignes} and \textit{R. Lercier}, Finite Fields Appl. 15, No. 1, 1--22 (2009; Zbl 1216.11106) Full Text: DOI arXiv
Couveignes, Jean-Marc; Lercier, Reynald Galois invariant smoothness basis. (English) Zbl 1151.14311 Chaumine, Jean (ed.) et al., Algebraic geometry and its applications. Dedicated to Gilles Lachaud on his 60th birthday. Proceedings of the first SAGA conference, Papeete, France, May 7–11, 2007. Hackensack, NJ: World Scientific (ISBN 978-981-279-342-3/hbk). Series on Number Theory and Its Applications 5, 142-167 (2008). MSC: 12E20 94A60 PDF BibTeX XML Cite \textit{J.-M. Couveignes} and \textit{R. Lercier}, Ser. Number Theory Appl. 5, 142--167 (2008; Zbl 1151.14311) 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)