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.
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页码：909 / 921
页数：13
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