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Algebraic attacks on the elliptic curve discrete logarithm problem
Up to now, very few algorithms exist that solve the discrete logarithm problem in the group of points of an elliptic curve defined over finite field. This problem is... -
Computing low-degree isogenies in genus 2 with the Dolgachev-Lehavi method
International audience -
Counting points in medium characteristic using Kedlaya's algorithm
Recently, many new results have been found concerning algorithms for counting points on curves over finite fields of characteristic p, mostly due to the use of p-adic... -
Fast computation of isomorphisms of hyperelliptic curves and explicit descent
International audience -
A double large prime variation for small genus hyperelliptic index calculus
In this article, we examine how the index calculus approach for computing discrete logarithms in small genus hyperelliptic curves can be improved by introducing a... -
On some questions related to the Gauss conjecture for function fields
International audience -
Arithmetic, Geometry and Coding Theory
International audience
