On primitive elements of finite fields avoiding affine hyperplanes

被引：1
|
作者：
Fernandes, Arthur [1 ]
Reis, Lucas [1 ]
机构：
[1] Univ Fed Minas Gerais, UFMG, Dept Matemat, BR-30270901 Belo Horizonte, MG, Brazil
来源：
FINITE FIELDS AND THEIR APPLICATIONS | 2021年 / 76卷
关键词：
Finite fields; Primitive elements; Affine spaces; Character sums; DIGITS; SUM;
D O I：
10.1016/j.ffa.2021.101911
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let n >= 2 be an integer and let F-q be the finite field with q elements, where q is a prime power. Given F-q-affine hyperplanes A(1), . . . , A(n) of F-qn in general position, we study the existence and distribution of primitive elements of F-qn, avoiding each A(i). We obtain both asymptotic and concrete results, relating to past works on digits over finite fields. (C) 2021 Elsevier Inc. All rights reserved.
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页数：9
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