Paper 2009/042

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

Lilya Budaghyan and 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.

Note: An improved version which will appear in Preproceedings of WCC 2009.

Metadata
Available format(s)
PDF PS
Category
Foundations
Publication info
Published elsewhere. Unknown where it was published
Keywords
Affine equivalenceAlmost perfect nonlinearBent functionBoolean functionCCZ-equivalenceNonlinearity
Contact author(s)
Lilya Budaghyan @ ii uib no
History
2009-04-27: revised
2009-01-29: received
See all versions
Short URL
https://ia.cr/2009/042
License
Creative Commons Attribution
CC BY

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},
      note = {\url{https://eprint.iacr.org/2009/042}},
      url = {https://eprint.iacr.org/2009/042}
}
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