On the EA-classes of known APN functions in small dimensions

Marco Calderini

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Paper 2019/369

On the EA-classes of known APN functions in small dimensions

Marco Calderini

Abstract

Recently Budaghyan, Calderini and Villa (2018) introduced a procedure for investigating if CCZ-equivalence can be more general than EA-equivalence together with inverse transformation (when applicable). In this paper, we show that it is possible to use this procedure for classifying, up to EA-equivalence, all known APN functions in dimension 6. We also give some discussion for dimension 7, 8 and 9. In particular, in these cases it is possible to give an upper bound on the EA-classes contained in the CCZ-classes of the known APN functions.

Metadata

Available format(s): PDF
Category: Secret-key cryptography
Publication info: Preprint. MINOR revision.
Keywords: EA-equivalence CCZ-equivalence Boolean functions APN
Contact author(s): marco calderini @ uib no
History: 2019-08-28: revised; 2019-04-11: received; See all versions
Short URL: https://ia.cr/2019/369
License: CC BY

BibTeX

@misc{cryptoeprint:2019/369,
      author = {Marco Calderini},
      title = {On the EA-classes of known APN functions in small dimensions},
      howpublished = {Cryptology ePrint Archive, Paper 2019/369},
      year = {2019},
      note = {\url{https://eprint.iacr.org/2019/369}},
      url = {https://eprint.iacr.org/2019/369}
}