Primitive element pairs with a prescribed trace in the quartic extension of a finite field

被引：5

作者：

Cohen, Stephen D. ^{[1
]}

Gupta, Anju ^{[2
]}

机构：

[1] Univ Glasgow, 6 Bracken Rd, Aberdeen AB12 4TA, Scotland

[2] Govt Coll Women, Behal Bhiwani 127028, Haryana, India

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2021年 / 20卷 / 09期

关键词：

Finite field; character; primitive element;

D O I：

10.1142/S0219498821501681

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we give a largely self-contained proof that the quartic extension F-q4 of the finite field F-q contains a primitive element alpha such that the element alpha + alpha(-1) is also a primitive element of F-q4, and TrF (q4|Fq)(alpha) = a for any prescribed a is an element of F-q. The corresponding result has already been established for finite field extensions of degrees exceeding 4 in [Primitive element pairs with one prescribed trace over a finite field, Finite Fields Appl. 54 (2018) 1-14.].

引用

页数：14

共 37 条

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