Lercier, Reynald; Ritzenthaler, Christophe; Sijsling, Jeroen Explicit Galois obstruction and descent for hyperelliptic curves with tamely cyclic reduced automorphism group. (English) Zbl 1343.14047 Math. Comput. 85, No. 300, 2011-2045 (2016). Reviewer: Sungkon Chang (Savannah) MSC: 14Q05 13A50 14H10 14H25 14H37 PDF BibTeX XML Cite \textit{R. Lercier} et al., Math. Comput. 85, No. 300, 2011--2045 (2016; Zbl 1343.14047) Full Text: DOI arXiv
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, R.; Morain, F. Computing isogenies between elliptic curves over \(F_{p^n}\) using Couveignes’s algorithm. (English) Zbl 0963.11032 Math. Comput. 69, No. 229, 351-370 (2000). Reviewer: Amílcar Pacheco (Rio de Janeiro) MSC: 11G20 11T71 94A60 11Y16 PDF BibTeX XML Cite \textit{R. Lercier} and \textit{F. Morain}, Math. Comput. 69, No. 229, 351--370 (2000; Zbl 0963.11032) Full Text: DOI