Hermitian LCD codes from cyclic codes

被引:0
作者
Chengju Li
机构
[1] East China Normal University,Shanghai Key Laboratory of Trustworthy Computing
来源
Designs, Codes and Cryptography | 2018年 / 86卷
关键词
Hermitian LCD codes; Cyclic codes; Linear codes; 94B05; 94B15; 11T71;
D O I
暂无
中图分类号
学科分类号
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.
引用
收藏
页码:2261 / 2278
页数:17
相关论文
共 35 条
[11]  
Solé P(1986)A reversible code over Kybernetika 22 85-91
[12]  
Esmaeili M(2004)Linear codes with complementary duals meet the Gilbert–Varshamov bound Discret. Math. 285 345-347
[13]  
Yari S(1970)On the minimum distance of certain reversible cyclic codes IEEE Trans. Inf. Theory 16 644-646
[14]  
Güneri C(1994)The necessary and sufficient condition for a cyclic code to have a complementary dual Discret. Math. 126 391-393
[15]  
Özkaya B(2000)Minimum cyclotomic coset representatives and their applications to BCH codes and Goppa codes IEEE Trans. Inf. Theory 46 2625-2628
[16]  
Solé P(undefined)undefined undefined undefined undefined-undefined
[17]  
Jin L(undefined)undefined undefined undefined undefined-undefined
[18]  
Li C(undefined)undefined undefined undefined undefined-undefined
[19]  
Ding C(undefined)undefined undefined undefined undefined-undefined
[20]  
Li S(undefined)undefined undefined undefined undefined-undefined