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 . ISSN 1936-2447 (Print) 1936-2455 (Online) Published Online First https://dx.doi.org/10.1007/s12095-024-00705-2
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Official URL: https://dx.doi.org/10.1007/s12095-024-00705-2
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: | 09 Jun 2024 10:19 |
| Last Modified: | 09 Jun 2024 10:19 |
| URI: | https://research.sabanciuniv.edu/id/eprint/49166 |
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