Paper 2010/058 Original: eprint.iacr.org/2010/058 ↗

Solinas primes of small weight for fixed sizes

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.

Metadata
Available format(s)
PDF
Category
Public-key cryptography
Publication info
Preprint.
History
2010-02-08: last updated
2010-02-08: published
Short URL
https://ia.cr/2010/058
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2010/058,
      author = {José de Jesús Angel Angel and Guillermo Morales-Luna},
      title = {Solinas primes of small weight for fixed sizes},
      howpublished = {Cryptology {ePrint} Archive, Paper 2010/058},
      year = {2010},
      url = {https://eprint.iacr.org/2010/058}
}
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