Found 10 Documents (Results 1–10)

Point counting on non-hyperelliptic genus 3 curves with automorphism group \(\mathbb Z/2\mathbb Z\) using Monsky-Washnitzer cohomology. (English) Zbl 1398.11098

Ballet, Stéphane (ed.) et al., Algorithmic arithmetic, geometry, and coding theory. 14th international conference on arithmetic, geometry, cryptography, and coding theory (AGCT), CIRM, Marseille, France, June 3–7, 2013. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-1461-0/pbk; 978-1-4704-2339-1/ebook). Contemporary Mathematics 637, 173-189 (2015).
MSC:  11G30 11G40
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Counting (quickly) the number of solutions of equations in finite fields. (Compter (rapidement) le nombre de solutions - d’équations dans les corps finis.) (French) Zbl 1189.11059

Séminaire Bourbaki. Volume 2006/2007. Exposés 967–981. Paris: Société Mathématique de France (ISBN 978-2-85629-253-2/pbk). Astérisque 317, 39-90, Exp. No. 968 (2008).
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An extension of Kedlaya’s point-counting algorithm to superelliptic curves. (English) Zbl 1064.11080

Boyd, Colin (ed.), Advances in cryptology - ASIACRYPT 2001. 7th international conference on the theory and application of cryptology and information security, Gold Coast, Australia, December 9–13, 2001. Proceedings. Berlin: Springer (ISBN 3-540-42987-5). Lect. Notes Comput. Sci. 2248, 480-494 (2001).
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