- Turkish Journal of Mathematics
- Vol: 43 Issue: 5
- Some permutations and complete permutation polynomials over finite fields
Some permutations and complete permutation polynomials over finite fields
Authors : Pinar Ongan, Burcu Gülmez Temür
Pages : 2154-2160
View : 11 | Download : 4
Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :In this paper we determine $b\in\F_{q^n}^*$ for which the polynomial $f(x)=x^{s+1}+bx\in\F_{q^n}[x]$ is a permutation polynomial and determine $b\in\F_{q^n}^*$ for which the polynomial $f(x)=x^{s+1}+bx\in\F_{q^n}[x]$ is a complete permutation polynomial where $s=\frac{q^n-1}{t}, t\in \mathbb{Z}^+$ such that $t\mid q^n-1$.Keywords : Permutation polynomials, complete permutation polynomials, finite fields