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  • Cet exposé a été présenté le 01 juin 2007.

Description

  • Orateur

    David Kohel - University of Sydney

We recall recent work on CM constructions using canonical lifts of the Frobenius isogeny: for p = 2 with Gaudry, Houtmann, Ritzenthaler, and Weng, and generalisation to p = 3 with Carls and Lubicz. I will explain how to extend this to (l,l)-isogenies for l = 2, 3 coprime to the characteristic.

Prochains exposés

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    • 10 avril 2026 (13:45 - 14:45)

    • IRMAR - Université de Rennes - Campus Beaulieu Bat. 22, RDC, Rennes - Amphi Lebesgue

    Orateur : Min-Yi Shen - No Affiliation

    One of the fundamental hardness assumptions underlying isogeny-based cryptography is the problem of finding a non-trivial endomorphism of a given supersingular elliptic curve. In this talk, we show that the problem is related to the problem of finding a splitting of a principally polarised superspecial abelian surface. In particular, we provide formal security reductions and a proof-of-concept[…]

    • Cryptography

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