Paper 2020/363 Original: eprint.iacr.org/2020/363 ↗
On equivalence between known polynomial APN functions and power APN functions
Abstract
Constructions and equivalence of APN functions play a significant role in the research of cryptographic functions. On finite fields of characteristic 2, 6 families of power APN functions and 14 families of polynomial APN functions have been constructed in the literature. However, the study on the equivalence among the aforementioned APN functions is rather limited to the equivalence in the power APN functions. Meanwhile, the theoretical analysis on the equivalence between the polynomial APN functions and the power APN functions, as well as the equivalence in the polynomial APN functions themselves, is far less studied. In this paper, we give the theoretical analysis on the inequivalence in 8 known families of polynomial APN functions and power APN functions.
Metadata
- Available format(s)
PDF- Category
- Foundations
- Publication info
- Preprint.
- History
- 2020-03-28: last updated
- 2020-03-28: published
- Short URL
- https://ia.cr/2020/363
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2020/363,
author = {Qianhong Wan and Longjiang Qu and Chao Li},
title = {On equivalence between known polynomial APN functions and power APN functions},
howpublished = {Cryptology {ePrint} Archive, Paper 2020/363},
year = {2020},
url = {https://eprint.iacr.org/2020/363}
}