DOI: https://doi.org/10.20535/tacs.2664-29132019.1.168696

Parameters of the Fastest Cryptographically Strong Twisted Edwards Curves

Anatoly Bessalov, Vladyslav Dykyi, Anton Malyshko, Oksana Tsygankova, Dariya Yadukha

Abstract


An overview of twisted Edwards curves is given. The complexity of group operations for twisted Edwards curves is estimated. A computation minimization method using curve parameters minimum values selection is proposed. The tables of system-wide parameters for the 25 fastest crypto-strong twisted Edwards curves with field modulus lengths of 192, 224, 256, 384 and 521 bits are given.

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