Reynald Lercier

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Adresse DGA MI

Route de Laillé

35170 Bruz

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Université de Rennes 1

IRMAR

Équipe Géométrie Algébrique Réelle, Calcul Formel et Cryptographie

Room 612

 

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Melreynald.lercier (at) m4x.org
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    • • Discrete logarithms
    • • Counting points on elliptic curves
    • • Elliptic curves of prescribed order
    • • Counting points on hyperelliptic curves
    • • Integer factorization
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[Ler04]

R. Lercier. Courbes Elliptiques et cryptographie. In Direction des Centres d'Expertise et d'Essais, number 64 in Revue Scientifique et Technique de la Defense, pages 59-66. Délégation générale pour l'armement, June 2004. In french.

This paper is an overview on the use of elliptic curves in cryptography. Our approach is chronological. We give at first the foundations of this theory. We continue with a state of the art about the algorithmic methods that were developed to count points on elliptic curves. We terminate with some applications.

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