On a class of permutation trinomials over finite fields
Year: 2024
Type: article
Abstract: In this paper, we study the permutation properties of the class of trinomials of the form f(x) = x4q+1 +λ1xq+4 +λ2x2q+3 ∈ Fq2 [x] , where λ1, λ2 ∈ Fq and they are not simultaneously zero. We find all necessary and sufficientconditions on λ1 and λ2 such that f(x) permutes Fq2 , where q is odd and q = 22k+1, k ∈ N.
Source: TURKISH JOURNAL OF MATHEMATICS
Authors: BURCU GÜLMEZ TEMÜR, BUKET ÖZKAYA
Language: English
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4400425416