[Resource Topic] 2010/058: Solinas primes of small weight for fixed sizes

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Title:
Solinas primes of small weight for fixed sizes

Authors: José de Jesús Angel Angel, 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.

ePrint: https://eprint.iacr.org/2010/058

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