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arXiv · 1906.05594

On the first fall degree of summation polynomials

Stavros Kousidis·Andreas Wiemers
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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.

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Stavros Kousidis, Andreas Wiemers. 2019-06-13. On the first fall degree of summation polynomials. https://doi.org/10.1515/jmc-2017-0022

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