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

Authors:
Lilya Budaghyan
Claude Carlet
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URL: http://eprint.iacr.org/2009/042
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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.
BibTeX
@misc{eprint-2009-18271,
  title={On CCZ-equivalence and its use in secondary constructions of bent functions},
  booktitle={IACR Eprint archive},
  keywords={foundations / Affine equivalence, Almost perfect nonlinear, Bent function, Boolean function, CCZ-equivalence, Nonlinearity},
  url={http://eprint.iacr.org/2009/042},
  note={ Lilya.Budaghyan@ii.uib.no 14268 received 24 Jan 2009},
  author={Lilya Budaghyan and Claude Carlet},
  year=2009
}