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On the first fall degree of summation polynomials

Kousidis Stavros, Wiemers Andreas

Journal of Mathematical Cryptology · 2019

doi:10.1515/jmc-2017-0022 (opens in a new tab)

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Abstract

We improve on the first fall degree bound of polynomial systems that arise from a Weil descent along Semaev’s summation polynomials relevant to the solution of the Elliptic Curve Discrete Logarithm Problem via Gröbner basis algorithms.

Abstract licence: CC BY-NC-ND

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