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Communication Dans Un Congrès Année : 2015

Twisted Hessian Curves

Résumé

This paper presents new speed records for arithmetic on a large family of elliptic curves with cofactor 3: specifically, 8.77M per bit for 256-bit variable-base single-scalar multiplication when curve parameters are chosen properly. This is faster than the best results known for cofactor 1, showing for the first time that points of order 3 are useful for performance and narrowing the gap to the speeds of curves with cofactor 4.
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Dates et versions

hal-01257167 , version 1 (15-01-2016)

Identifiants

Citer

Daniel J Bernstein, Chitchanok Chuengsatiansup, David Kohel, Tanja Lange. Twisted Hessian Curves. Progress in Cryptology -- LATINCRYPT 2015, Aug 2015, Guadalajara, Mexico. pp.269-294, ⟨10.1007/978-3-319-22174-8_15⟩. ⟨hal-01257167⟩
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