On the Existence for Some Special Primitive Elements in Finite Fields

被引：0

作者：

Qunying LIAO

Jiyou LI

Keli PU

机构：

[1] College of Mathematics and Software Science, Sichuan Normal University

[2] Department of Mathematics, Shanghai Jiao Tong University

[3] Department of Mathematics and Finance Economics,Aba Teachers College

来源：

ChineseAnnalsofMathematics(SeriesB) | 2016年 / 37卷 / 02期

基金：

中国国家自然科学基金; 上海市自然科学基金;

关键词：

Finite field; Primitive element; Normal basis;

D O I：

暂无

中图分类号：

O153.4 [域论];

学科分类号：

070104 ;

摘要：

Let Fq be a finite field of characteristic p. In this paper, by using the index sum method the authors obtain a sufficient condition for the existence of a primitive elementα∈ Fqn such that α + α-1is also primitive or α + α-1is primitive and α is a normal element of Fqn over Fq.

引用

页码：259 / 266

页数：8

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