Description
The pursuit of speed in elliptic-curve factoring and in elliptic-curve cryptography has led researchers to consider a remarkable variety of curve shapes and point representations. Tanja Lange and I have built an Explicit-Formulas Database, http://hyperelliptic.org/EFD, collecting (and sometimes correcting and often improving) the addition formulas in the literature; EFD now contains 296 computer-verified explicit addition formulas for 20 representations of points on 8 shapes of elliptic curves over large-characteristic fields. In this talk I will survey the speeds that have been obtained from several interesting curve shapes. If time permits I will also comment on characteristic 2.
Next sessions
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Schéma de signature à clé publique : Frobénius-UOV
Speaker : Gilles Macario-Rat - Orange
L'exposé présente un schéma de signature à clé publique post-quantique inspiré du schéma UOV et introduisant un nouvel outil : les formes de Frobénius. L'accent est mis sur le rôle et les propriétés des formes de Frobénius dans ce nouveau schéma : la simplicité de description, la facilité de mise en oeuvre et le gain inédit sur les tailles de signature et de clé qui bat RSA-2048 au niveau de[…] -
Yoyo tricks with a BEANIE
Speaker : Xavier Bonnetain - Inria
TBD-
Cryptography
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Symmetrical primitive
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