Hermitian LCD codes from cyclic codes

Chengju Li

doi:10.1007/s10623-017-0447-0

Hermitian LCD codes from cyclic codes

Chengju Li

Software Engineering Institute

Research output: Contribution to journal › Article › peer-review

42 Scopus citations

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.

Original language	English
Pages (from-to)	2261-2278
Number of pages	18
Journal	Designs, Codes, and Cryptography
Volume	86
Issue number	10
DOIs	https://doi.org/10.1007/s10623-017-0447-0
State	Published - 1 Oct 2018

Keywords

Cyclic codes
Hermitian LCD codes
Linear codes

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10.1007/s10623-017-0447-0

Cite this

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title = "Hermitian LCD codes from cyclic codes",

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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N2 - 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.

AB - 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.

KW - Cyclic codes

KW - Hermitian LCD codes

KW - Linear codes

UR - https://www.scopus.com/pages/publications/85037728321

U2 - 10.1007/s10623-017-0447-0

DO - 10.1007/s10623-017-0447-0

M3 - 文章

AN - SCOPUS:85037728321

SN - 0925-1022

VL - 86

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JO - Designs, Codes, and Cryptography

JF - Designs, Codes, and Cryptography

IS - 10

ER -

Hermitian LCD codes from cyclic codes

Abstract

Keywords

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