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

页码：832 / 841

页数：10

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