E. Eid

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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

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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…