Reynald Lercier

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Adresse DGA MI

Route de Laillé

35170 Bruz

Adresse

Université de Rennes 1

IRMAR

Équipe Géométrie Algébrique Réelle, Calcul Formel et Cryptographie

Room 612

 

Fax33 2 99 42 64 50
Melreynald.lercier (at) m4x.org
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    • • Talks
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    Software
    • • Magma
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    Computations
    • • Discrete logarithms
    • • Counting points on elliptic curves
    • • Elliptic curves of prescribed order
    • • Counting points on hyperelliptic curves
    • • Integer factorization
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ZEN IRMAR
[LRS13]

R. Lercier, C. Ritzenthaler, and J. Sijsling. Fast computation of isomorphisms of hyperelliptic curves and explicit descent. In Everett W. Howe and Kiran S. Kedlaya, editors, Proceedings of the Tenth Algorithmic Number Theory Symposium, volume 1 of The Open Book Series, pages 463-486. Mathematical Sciences Publishers, 2013.

We show how to speed up the computation of isomorphisms of hyperelliptic curves by using covariants. We also obtain new theoretical and practical results concerning models of these curves over their field of moduli.

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