Repeated-root constacyclic codes of length 4lmpn

被引：19
|
作者：
Sharma, Anuradha [1 ]
Rani, Saroj [1 ]
机构：
[1] Indian Inst Technol Delhi, Dept Math, New Delhi 110016, India
来源：
FINITE FIELDS AND THEIR APPLICATIONS | 2016年 / 40卷
关键词：
Cyclic codes; Negacyclic codes; Cyclotomic cosets; NEGACYCLIC CODES; CYCLIC CODES;
D O I：
10.1016/j.ffa.2016.04.001
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Constacyclic codes form a well-known class of linear codes, and are generalizations of cyclic and negacyclic codes. In this paper, we determine generator polynomials of all constacyclic codes of length 4l(m)p(n) over the finite field F-q with q elements, where p, l are distinct odd primes, q is a power of p and m, n are positive integers. We also determine their dual codes, and list all self-dual constacyclic codes of length 4l(m)p(n) over F-q. (C) 2016 Elsevier Inc. All rights reserved.
引用
收藏
页码：163 / 200
页数：38
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