most citedOn Elkies subgroups of l-torsion points in elliptic curves defined over a finite field

2 citations · 3 across the 4 of their papers we have counts for

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math.NT2008★ 1 cited

Elliptic periods and primality proving

Jean-Marc Couveignes, Tony Ezome, Reynald Lercier

We define the ring of elliptic periods modulo an integer and give an elliptic version of the AKS primality criterion.

math.NT2008★ 2 cited

On Elkies subgroups of l-torsion points in elliptic curves defined over a finite field

Reynald Lercier, Thomas Sirvent

As a subproduct of the Schoof-Elkies-Atkin algorithm to count points on elliptic curves defined over finite fields of characteristic p, there exists an algorithm that computes, for…

math.NT2008

Galois invariant smoothness basis

Jean-Marc Couveignes, Reynald Lercier

This text answers a question raised by Joux and the second author about the computation of discrete logarithms in the multiplicative group of finite fields. Given a finite residue…