LCD Cyclic Codes Over Finite Fields

被引：169

作者：

Li, Chengju ^{[1
]}

Ding, Cunsheng ^{[2
]}

Li, Shuxing ^{[3
]}

机构：

[1] East China Normal Univ, Sch Comp Sci & Software Engn, Shanghai Key Lab Trustworthy Comp, Shanghai 200062, Peoples R China

[2] Hong Kong Univ Sci & Technol, Dept Comp Sci & Engn, Kowloon, Hong Kong, Peoples R China

[3] Hong Kong Univ Sci & Technol, Dept Math, Kowloon, Hong Kong, Peoples R China

来源：

IEEE TRANSACTIONS ON INFORMATION THEORY | 2017年 / 63卷 / 07期

关键词：

BCH codes; cyclic codes; linear codes; linear complementary dual (LCD) codes; reversible codes; MINIMUM DISTANCE; LINEAR CODES;

D O I：

10.1109/TIT.2017.2672961

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In addition to their applications in data storage, communications systems, and consumer electronics, linear complementary dual (LCD) codes-a class of linear codes-have been employed in cryptography recently. LCD cyclic codes were referred to as reversible cyclic codes in the literature. The objective of this paper is to construct several families of reversible cyclic codes over finite fields and analyze their parameters. The LCD cyclic codes presented in this paper have very good parameters in general, and contain many optimal codes. A well rounded treatment of reversible cyclic codes is also given in this paper.

引用

页码：4344 / 4356

页数：13

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