Paper 2009/042 Original: eprint.iacr.org/2009/042 ↗

On CCZ-equivalence and its use in secondary constructions of bent functions

Lilya Budaghyan
Claude Carlet
Abstract

We prove that, for bent vectorial functions, CCZ-equivalence coincides with EA-equivalence. However, we show that CCZ-equivalence can be used for constructing bent functions which are new up to CCZ-equivalence. Using this approach we construct classes of nonquadratic bent Boolean and bent vectorial functions.

Metadata
Available format(s)
PDF
Category
Foundations
Publication info
Preprint.
History
2009-04-27: last updated
2009-01-29: published
Short URL
https://ia.cr/2009/042
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2009/042,
      author = {Lilya Budaghyan and Claude Carlet},
      title = {On CCZ-equivalence and its use in secondary constructions of bent functions},
      howpublished = {Cryptology {ePrint} Archive, Paper 2009/042},
      year = {2009},
      url = {https://eprint.iacr.org/2009/042}
}
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