Local permutation polynomials and the action of e-Klenian groups

Jaime Gutierrez; Jorge Jimenez Urroz

Paper 2022/517

Local permutation polynomials and the action of e-Klenian groups

Jaime Gutierrez and Jorge Jimenez Urroz

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. MINOR revision.
Keywords: Permutation polynomials Latin Squares
Contact author(s): jaime gutierrez @ unican es
History: 2022-05-02: received
Short URL: https://ia.cr/2022/517
License: CC BY

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}
}