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math.AG2020
Fast computation of hyperelliptic curve isogenies in odd characteristic
Élie Eid
Let p be an odd prime number and g 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 of . It consists in efficiently solving with a logarithmic los…