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arXiv · 1204.1657

A faster pseudo-primality test

Jean-Marc Couveignes·Tony Ezome·Reynald Lercier
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Abstract

We propose a pseudo-primality test using cyclic extensions of $\mathbb Z/n \mathbb Z$. For every positive integer $k \leq \log n$, this test achieves the security of $k$ Miller-Rabin tests at the cost of $k^{1/2+o(1)}$ Miller-Rabin tests.

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Jean-Marc Couveignes, Tony Ezome, Reynald Lercier. 2012-04-07. A faster pseudo-primality test. https://doi.org/10.1112/s1461157015000169

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