Hermitian LCD codes from cyclic codes

Chengju Li

doi:10.1007/s10623-017-0447-0

Hermitian LCD codes from cyclic codes

Chengju Li^*

^*此作品的通讯作者

软件工程学院

科研成果: 期刊稿件 › 文章 › 同行评审

45 引用（Scopus）

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.

源语言	英语
页（从-至）	2261-2278
页数	18
期刊	Designs, Codes, and Cryptography
卷	86
期	10
DOI	https://doi.org/10.1007/s10623-017-0447-0
出版状态	已出版 - 1 10月 2018

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10.1007/s10623-017-0447-0

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abstract = "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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KW - Cyclic codes

KW - Hermitian LCD codes

KW - Linear codes

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Hermitian LCD codes from cyclic codes

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