E. Eid

activity

20202022

most citedEfficient computation of Cantor's division polynomials of hyperelliptic curves over finite fields

1 citations · 1 across the 2 of their papers we have counts for

collaborators

4 papers

math.AG2022★ 1 cited

Efficient computation of Cantor's division polynomials of hyperelliptic curves over finite fields

Elie Eid

Let $p$ be an odd prime number. We propose an algorithm for computing rational representations of isogenies between Jacobians of hyperelliptic curves via-adic differential equation…

math.AG2021

Computing isogenies between jacobians of hyperelliptic curves of arbitrary genus via differential equations

Elie Eid

Let $p$ be an odd prime number and be an integer coprime to $p$ . We survey an algorithm for computing explicit rational representations of $(ℓ, ..., ℓ)$ -isogenies between Jacob…

math.AG2020

Fast computation of hyperelliptic curve isogenies in odd characteristic

Élie Eid

Let p be an odd prime number and g $\geq$ 2 be an integer. We present an algorithm for computing explicit rational representations of isogenies between Jacobians of hyperelliptic cu…

math.NT2020

Fast computation of elliptic curve isogenies in characteristic two

Xavier Caruso, Elie Eid, Reynald Lercier

We propose an algorithm that calculates isogenies between elliptic curves defined over an extension $K$ of $Q_{2}$ . It consists in efficiently solving with a logarithmic los…