Hermitian LCD codes from cyclic codes

被引：54
作者：
Li, Chengju [1 ]
机构：
[1] East China Normal Univ, Shanghai Key Lab Trustworthy Comp, Shanghai 200062, Peoples R China
来源：
DESIGNS CODES AND CRYPTOGRAPHY | 2018年 / 86卷 / 10期
基金：
中国国家自然科学基金;
关键词：
Hermitian LCD codes; Cyclic codes; Linear codes; MINIMUM DISTANCE; LINEAR CODES; COMPLEMENTARY;
D O I：
10.1007/s10623-017-0447-0
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
Cyclic codes are an interesting type of linear codes and have wide applications in communication and storage systems due to their efficient encoding and decoding algorithms. It was proved that asymptotically good Hermitian LCD codes exist. The objective of this paper is to construct some cyclic Hermitian LCD codes over finite fields and analyse their parameters. The dimensions of these codes are settled and the lower bounds on their minimum distances are presented. Most Hermitian LCD codes presented in this paper are not BCH codes.
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收藏
页码：2261 / 2278
页数：18
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