Determination of a type of permutation binomials over finite fields

JOURNAL OF NUMBER THEORY

卷:147

Article

Hou, Xiang-Dong¹  Lappano, Stephen D.¹ 

[1] Univ S Florida, Dept Math & Stat, Tampa, FL 33620 USA

关键词: Binomial;    Finite field;    Hermite criterion;    Permutation polynomial;   

DOI  :  10.1016/j.jnt.2014.06.021

来源: Elsevier

【 摘 要 】

Let f = alpha x + X3q-2 is an element of F-q2[x], where alpha is an element of F*(q2) We prove that f is a permutation polynomial of F-q2 if aria only if one of the following occurs: (i) q = 2(e), e odd, and a(2+1/3) is a primitive 3rd root of unity. (ii) (q, a) belongs to a finite set which is determined in the paper. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

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