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Analogue of Velu’s formulas for computing Isogenies over Hessian Model of Elliptic curves

Emmanuel Fouotsa
Université de Bamenda, Cameroun
Séminaire Théorie des Nombres et Théorie de l’Information
ven 22/10/2021 - 15:00 ven 22/10/2021 - 16:00

Given an elliptic curve E in Weierstrass form and one finite subgroup G, the traditional Velu's formulas enable to compute an isogeny from E with kernel G. Other models for elliptic curves exist and although almost isomorphic to the Weierstrass model, the use of these isomorphisms to obtain isogenies over these models yields very complex and costly formulas. In this talk, we present fast formulas for computing isogenies over Hessian Elliptic curves.

Activités à venir

Conférences
AFRIMath 2026 -- First conference of the MaGA project (Mathematics in Gabon for Africa)

L'évènement se deroulera le 13/04/2026
Cap Skirring, Sénégal
de 09:00 à 17:00

Partenaires

  • Nantes Université
  • CNRS
  • LMJL
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