Paper 2015/1244 Original: eprint.iacr.org/2015/1244 ↗
On values of vectorial Boolean functions and related problems in APN functions
Abstract
In this paper we prove that there are only differential 4-uniform functions which are on distance 1 from an APN function. Also we prove that there are no APN functions of distance 1 from another APN functions up to dimension 5. We determine some properties of the set of values of an arbitrary vectorial Boolean function from F_n^2 to F_n^2 in connection to the set of values of its derivatives. These results are connected to several open question concerning metric properties of APN functions.
Metadata
- Available format(s)
PDF- Category
- Foundations
- Publication info
- Preprint.
- History
- 2015-12-31: last updated
- 2015-12-31: published
- Short URL
- https://ia.cr/2015/1244
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2015/1244,
author = {George Shushuev},
title = {On values of vectorial Boolean functions and related problems in APN functions},
howpublished = {Cryptology {ePrint} Archive, Paper 2015/1244},
year = {2015},
url = {https://eprint.iacr.org/2015/1244}
}