[Resource Topic] 2015/1121: On the First Fall Degree of Summation Polynomials

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Title:
On the First Fall Degree of Summation Polynomials

Authors: Stavros Kousidis, Andreas Wiemers

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.

ePrint: https://eprint.iacr.org/2015/1121

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