On the existence of primitive completely normal bases of finite fields

被引：3

作者：

Garefalakis, Theodoulos ^{[1
]}

Kapetanakis, Giorgos ^{[2
]}

机构：

[1] Univ Crete, Dept Math & Appl Math, Voutes Campus, Iraklion 70013, Greece

[2] Sabanci Univ, FENS, TR-34956 Istanbul, Turkey

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2019年 / 223卷 / 03期

关键词：

NORMAL BASIS THEOREM; ELEMENTS;

D O I：

10.1016/j.jpaa.2018.05.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let F-q be the finite field of characteristic p with q elements and F-qn its extension of degree n. We prove that there exists a primitive element of F-qn that produces a completely normal basis of F-qn over F-q, provided that n = p(l)m with (m, p) = 1 and q > m. (C) 2018 Elsevier B.V. All rights reserved.

引用

页码：909 / 921

页数：13

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