Publications

Journal articles

E. Eid, Efficient computation of Cantor's division polynomials of hyperelliptic curves over finite fields, to appear in the Journal of Symbolic Computation (2022).

X. Caruso, E. Eid and R. Lercier, Fast computation of elliptic curve isogenies in characteristic two, Journal of the London Mathematical Society, 2021, 104, pp. 1901-1929.

Conference papers

E. Eid, Fast computation of hyperelliptic curve isogenies in odd characteristic, ISSAC 2021, July 2021, Saint Petersburg, Russia.

E. Eid, Computing isogenies between Jacobians of hyperelliptic curves of arbitrary genus via differential equations, MEGA 2021, June 2021, Tromso, Norway.

Manuscript thesis

E. Eid, Sur le calcul d'isogénies pas résolution d'équations différentielles p-adiques, University of Rennes 1, June 2021.

Implementations

E. Eid, an implementation of the algorithms described in the article Efficient computation of Cantor's division polynomials of hyperelliptic curves over finite fields, https://github.com/eeid95/HyperellipticIsogeny.

X. Caruso, E. Eid and R. Lercier, an implementation of the algorithms described in the article Fast computation of elliptic curve isogenies in characteristic two, https://github.com/rlercier/isocar2g1/.