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arXiv · 1906.10668

Discrete logarithms in quasi-polynomial time in finite fields of fixed characteristic

Thorsten Kleinjung·Benjamin Wesolowski
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Abstract

We prove that the discrete logarithm problem can be solved in quasi-polynomial expected time in the multiplicative group of finite fields of fixed characteristic. More generally, we prove that it can be solved in the field of cardinality $p^n$ in expected time $(pn)^{2\log_2(n) + O(1)}$.

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Thorsten Kleinjung, Benjamin Wesolowski. 2019-06-25. Discrete logarithms in quasi-polynomial time in finite fields of fixed characteristic. https://arxiv.org/abs/1906.10668

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