Irreducible polynomials with consecutive zero coefficients

被引：9

作者：

Garefalakis, Theodoulos ^{[1
]}

机构：

[1] Univ Crete, Dept Math, Iraklion 71409, Greece

来源：

FINITE FIELDS AND THEIR APPLICATIONS | 2008年 / 14卷 / 01期

关键词：

irreducible polynomials; finite fields;

D O I：

10.1016/j.ffa.2006.11.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let q be a prime power. We consider the problem of the existence of monic irreducible polynomials over F-q with consecutive coefficients fixed to zero. We show that asymptotically, there exist monic irreducible polynomials of degree n over F-q with roughly n/3 consecutive coefficients fixed to zero. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：201 / 208

页数：8