Paper 2019/369 Original: eprint.iacr.org/2019/369 ↗
On the EA-classes of known APN functions in small dimensions
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.
- History
- 2019-08-28: last updated
- 2019-04-11: published
- Short URL
- https://ia.cr/2019/369
- License
- https://creativecommons.org/licenses/by/4.0/
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},
url = {https://eprint.iacr.org/2019/369}
}