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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 construction of MOLS on size a prime power.

 Authorship: Gutierrez J., Jiménez Urroz J.,

 Fuente: Finite Fields and their Applications, 2023, 91, 102261

 Publisher: Elsevier

 Publication date: 01/10/2023

 No. of pages: 22

 Publication type: Article

 DOI: 10.1016/j.ffa.2023.102261

 ISSN: 1071-5797,1090-2465

 Publication Url: