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

Lilya Budaghyan; Claude Carlet

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 equivalence Almost perfect nonlinear Bent function Boolean function CCZ-equivalence Nonlinearity
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: 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},
      url = {https://eprint.iacr.org/2009/042}
}