On the Hansen-Mullen conjecture for self-reciprocal irreducible polynomials

被引：6
|
作者：
Garefalakis, Theodoulos [1 ]
Kapetanakis, Giorgos [1 ]
机构：
[1] Univ Crete, Dept Math, Iraklion 71409, Greece
来源：
FINITE FIELDS AND THEIR APPLICATIONS | 2012年 / 18卷 / 04期
关键词：
Self-reciprocal polynomials; Hansen-Mullen conjecture; Character sums; PRIMITIVE POLYNOMIALS;
D O I：
10.1016/j.ffa.2012.03.001
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let q be a power of an odd prime and let k, n is an element of N be such that 1 < k <= n. We investigate the existence of self-reciprocal irreducible monic polynomials over F-q, of degree 2n with their k-th coefficient prescribed. (C) 2012 Elsevier Inc. All rights reserved.
引用
收藏
页码：832 / 841
页数：10
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