Complete characterization of a class of permutation trinomials in characteristic five

Grassl, Markus and Özbudak, Ferruh and Özkaya, Buket and Temür, Burcu Gülmez (2024) Complete characterization of a class of permutation trinomials in characteristic five. Cryptography and Communications, 16 (4). pp. 825-841. ISSN 1936-2447 (Print) 1936-2455 (Online)

This is the latest version of this item.

Full text not available from this repository. (Request a copy)

Abstract

In this paper, we address an open problem posed by Bai and Xia in [2]. We study polynomials of the form f(x)=x4q+1+λ1x5q+λ2xq+4 over the finite field F5k, which are not quasi-multiplicative equivalent to any of the known permutation polynomials in the literature. We find necessary and sufficient conditions on λ1,λ2∈F5k so that f(x) is a permutation monomial, binomial, or trinomial of F52k.
Item Type: Article
Uncontrolled Keywords: 11T71; 12E10; Absolutely irreducible; Finite fields; MSC 11T06; Permutation polynomials
Divisions: Faculty of Engineering and Natural Sciences
Depositing User: Ferruh Özbudak
Date Deposited: 23 Sep 2024 14:31
Last Modified: 23 Sep 2024 14:31
URI: https://research.sabanciuniv.edu/id/eprint/50051

Available Versions of this Item

Actions (login required)

View Item
View Item