Abelian groups, Gauss periods, and normal bases

被引：12
|
作者：
Gao, SH [1 ]
机构：
[1] Clemson Univ, Dept Math Sci, Clemson, SC 29634 USA
来源：
FINITE FIELDS AND THEIR APPLICATIONS | 2001年 / 7卷 / 01期
基金：
美国国家科学基金会;
关键词：
finite fields; finite abelian groups; Gauss periods; normal bases;
D O I：
10.1006/ffta.2000.0304
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A result on finite abelian groups is first proved and then used to solve problems in finite fields. Particularly, all finite fields that have normal bases generated by general Gauss periods are characterized and it is shown how to find normal bases of low complexity. (C) 2000 Academic Press.
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页码：149 / 164
页数：16
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