Nov. 3, 2023, 1:36 a.m. |

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ePrint Report: Faster Complete Formulas for the GLS254 Binary Curve

Thomas Pornin


GLS254 is an elliptic curve defined over a finite field of characteristic 2; it contains a 253-bit prime order subgroup, and supports an endomorphism that can be efficiently computed and helps speed up some typical operations such as multiplication of a curve element by a scalar. That curve offers on x86 and ARMv8 platforms the best known performance for elliptic curves at the 128-bit security level.


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binary curve defined elliptic eprint report operations order prime report speed speed up thomas

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