Paper 2008/076 Original: eprint.iacr.org/2008/076 ↗

Results from a Search for the Best Linear Approximation of a Block Cipher

Kashif Ali
Howard M. Heys
Abstract

In this paper, we investigate the application of an algorithm to find the best linear approximation of a basic Substitution-Permutation Network block cipher. The results imply that, while it is well known that the S-box used for the Advanced Encryption Standard has good nonlinear properties, it is straightforward to randomly select other S-boxes which are able to provide a similar level of security, as indicated by the exact bias of the best linear approximation found by the algorithm, rather than a simple upper bound on the maximum bias.

Metadata
Available format(s)
PDF
Category
Secret-key cryptography
Publication info
Preprint.
History
2008-02-27: last updated
2008-02-27: published
Short URL
https://ia.cr/2008/076
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2008/076,
      author = {Kashif Ali and Howard M.  Heys},
      title = {Results from a Search for the Best Linear Approximation of a Block Cipher},
      howpublished = {Cryptology {ePrint} Archive, Paper 2008/076},
      year = {2008},
      url = {https://eprint.iacr.org/2008/076}
}
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