Paper 2022/517 Original: eprint.iacr.org/2022/517 ↗
Local permutation polynomials and the action of e-Klenian groups
Abstract
Permutation polynomials of finite fields have many applications in Coding Theory, Cryptography and Combinatorics. In the first part of this paper we present a new family of local permutation polynomials based on a class of symmetric subgroups without fixed points, the so called e-Klenian groups. In the second part we use the fact that bivariate local permutation polynomials define Latin Squares, to discuss several constructions of Mutually Orthogonal Latin Squares (MOLS) and, in particular, we provide a new family of MOLS on size a prime power.
Metadata
- Available format(s)
PDF- Category
- Cryptographic protocols
- Publication info
- Preprint.
- History
- 2022-05-02: last updated
- 2022-05-02: published
- Short URL
- https://ia.cr/2022/517
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2022/517,
author = {Jaime Gutierrez and Jorge Jimenez Urroz},
title = {Local permutation polynomials and the action of e-Klenian groups},
howpublished = {Cryptology {ePrint} Archive, Paper 2022/517},
year = {2022},
url = {https://eprint.iacr.org/2022/517}
}