Cryptology ePrint Archive: Report 2010/058

Solinas primes of small weight for fixed sizes

José de Jesús Angel Angel and Guillermo Morales-Luna

Abstract: We give a list of the Solinas prime numbers of the form $f(2^k)=2^m - 2^n \pm 1$, $m \leq 2000$, with small modular reduction weight $wt < 15$, and $k=8,16,32,64$, i.e., $k$ is a multiple of the computer integer arithmetic word size. These can be useful in the construction of cryptographic protocols.

Category / Keywords: public-key cryptography / prime numbers, Solinas primes, NIST primes

Date: received 2 Feb 2010

Contact author: jjangel at computacion cs cinvestav mx

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Version: 20100208:094421 (All versions of this report)

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