Some permutations and complete permutation polynomials over finite fields

Authors : Pinar ONGAN, Burcu Gülmez TEMÜR

Pages : 2154-2160

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Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :In this paper we determine $b\in\F_{q^n}^*$ for which the polynomial $finsert ignore into journalissuearticles values(x);=x^{s+1}+bx\in\F_{q^n}[x]$ is a permutation polynomial and determine $b\in\F_{q^n}^*$ for which the polynomial $finsert ignore into journalissuearticles values(x);=x^{s+1}+bx\in\F_{q^n}[x]$ 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