On cyclic self-orthogonal codes over Z2m

被引：8
|
作者：
Qian, Kaiyan [1 ,2 ]
Zhu, Shixin [1 ,2 ]
Kai, Xiaoshan [1 ,2 ]
机构：
[1] Hefei Univ Technol, Sch Math, Hefei 230009, Anhui, Peoples R China
[2] Southeast Univ, Natl Mobile Commun Res Lab, Nanjing 210096, Jiangsu, Peoples R China
来源：
FINITE FIELDS AND THEIR APPLICATIONS | 2015年 / 33卷
基金：
中国国家自然科学基金;
关键词：
Self-orthogonal codes; Finite rings; Cyclic codes; Self-dual codes; QUADRATIC RESIDUE CODES; II CODES;
D O I：
10.1016/j.ffa.2014.11.005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study cyclic self-orthogonal codes over Z(2m) for any odd length. We give the generator polynomials of cyclic self-orthogonal codes over Z(2m). By using these generator polynomials, we obtain a sufficient and necessary condition for the existence of nontrivial cyclic self-orthogonal codes over Z(2m) and determine the number of such codes for a given odd length. Some results about cyclic self-dual codes over Z(2m) are included. (C) 2014 Elsevier Inc. All rights reserved.
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页码：53 / 65
页数：13
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