Mathematics – Number Theory
Scientific paper
2012-04-07
Mathematics
Number Theory
Scientific paper
We propose a pseudo-primality test using cyclic extensions of $\ZZ/n\ZZ$. For
every positive integer $k$ this test achieves the security of $k^2$
Miller-Rabin tests at the cost of $k^{1+o(1)}$ Miller-Rabin tests.
Couveignes Jean-Marc
Ezome Tony
Lercier Reynald
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