Twisted Hessian Curves

Abstract : 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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Communication dans un congrès
Progress in Cryptology -- LATINCRYPT 2015, Aug 2015, Guadalajara, Mexico. Lecture Notes in Computer Science, 9230, pp.269-294, 2015, 〈10.1007%2F978-3-319-22174-8_15〉
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https://hal.archives-ouvertes.fr/hal-01257167
Contributeur : David Kohel <>
Soumis le : vendredi 15 janvier 2016 - 18:31:57
Dernière modification le : vendredi 4 mars 2016 - 11:30:20

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Daniel Bernstein, Chitchanok Chuengsatiansup, David Kohel, Tanja Lange. Twisted Hessian Curves. Progress in Cryptology -- LATINCRYPT 2015, Aug 2015, Guadalajara, Mexico. Lecture Notes in Computer Science, 9230, pp.269-294, 2015, 〈10.1007%2F978-3-319-22174-8_15〉. 〈hal-01257167〉

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