New results on permutation polynomials over finite fields

被引：7

作者：

Qin, Xiaoer ^{[1
,2
]}

Qian, Guoyou ^{[1
]}

Hong, Shaofang ^{[1
]}

机构：

[1] Sichuan Univ, Math Coll, Chengdu 610064, Peoples R China

[2] Yangtze Normal Univ, Coll Math & Comp Sci, Chongqing 408100, Peoples R China

来源：

INTERNATIONAL JOURNAL OF NUMBER THEORY | 2015年 / 11卷 / 02期

基金：

美国国家科学基金会;

关键词：

Permutation polynomial; linearized polynomial; linear translator; matrix; BINOMIALS;

D O I：

10.1142/S1793042115500220

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we get several new results on permutation polynomials over finite fields. First, by using the linear translator, we construct permutation polynomials of the forms L(x) + Sigma(k)(j)(= 1) gamma(j)h(j)(f(j) (x)) and x + Sigma(k)(j)(= 1) gamma(j)f(j) (x). These forms generalize the results obtained by Kyureghyan in 2011. Consequently, we characterize permutation polynomials of the form L(x) + Sigma(l)(i)(= 1) gamma iTrFqm/F-q (h(i)(x)), which extends a theorem of Charpin and Kyureghyan obtained in 2009.

引用

页码：437 / 449

页数：13

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