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)
- Category
- Secret-key cryptography
- Publication info
- Preprint. MINOR revision.
- Keywords
- EA-equivalenceCCZ-equivalenceBoolean functionsAPN
- 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}, url = {https://eprint.iacr.org/2019/369} }