Welcome to the resource topic for 2015/781
Title:
Twisted Hessian curves
Authors: Daniel J. Bernstein, Chitchanok Chuengsatiansup, David Kohel, Tanja Lange
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.
ePrint: https://eprint.iacr.org/2015/781
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