Explicit factorization of X2mpn-1 over a finite field

被引：23

作者：

Chen, Bocong ^{[1
]}

Li, Liangchen ^{[2
]}

Tuerhong, Rouziwanguli ^{[3
]}

机构：

[1] Nanyang Technol Univ, Sch Phys & Math Sci, Div Math Sci, Singapore 637616, Singapore

[2] Luoyang Normal Univ, Sch Math Sci, Luoyang 471022, Peoples R China

[3] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China

来源：

FINITE FIELDS AND THEIR APPLICATIONS | 2013年 / 24卷

基金：

中国国家自然科学基金;

关键词：

Irreducible factorization; Cyclic code; Binomial; Trinomial; DICKSON POLYNOMIALS; CYCLIC CODES;

D O I：

10.1016/j.ffa.2013.06.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let F-q be a finite field of odd order q and m, n be positive integers. In this paper, the irreducible factorization of X-2m P-n - 1 over Fq is given in a very explicit form, where p is an odd prime divisor of q-1. It is shown that all the irreducible factors of (XPn)-P-2m - 1 over F-q are either binomials or trinomials. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：95 / 104

页数：10

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