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arXiv · 1909.11326

New results on quasi-subfield polynomials

M. Euler·C. Petit
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Abstract

Quasi-subfield polynomials were introduced by Huang et al. together with a new algorithm to solve the Elliptic Curve Discrete Logarithm Problem (ECDLP) over finite fields of small characteristic. In this paper we provide both new quasi-subfield polynomial families and a new theorem limiting their existence. Our results do not allow to derive any speedup for the new ECDLP algorithm compared to previous approaches.

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M. Euler, C. Petit. 2019-09-25. New results on quasi-subfield polynomials. https://doi.org/10.1016/j.ffa.2021.101881

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