Two Families of LCD BCH Codes

Shuxing Li; Chengju Li; Cunsheng Ding; Hao Liu

doi:10.1109/TIT.2017.2723363

Two Families of LCD BCH Codes

Shuxing Li, Chengju Li, Cunsheng Ding, Hao Liu

Software Engineering Institute

Hong Kong University of Science and Technology

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

95 Scopus citations

Abstract

Historically, LCD cyclic codes were referred to as reversible cyclic codes, which had applications in data storage. Due to a newly discovered application in cryptography, there has been renewed interest in LCD codes. In this paper, we explore two special families of LCD cyclic codes, which are both BCH codes. The dimensions and the minimum distances of these LCD BCH codes are investigated.

Original language	English
Article number	7968332
Pages (from-to)	5699-5717
Number of pages	19
Journal	IEEE Transactions on Information Theory
Volume	63
Issue number	9
DOIs	https://doi.org/10.1109/TIT.2017.2723363
State	Published - Sep 2017

Keywords

BCH codes
LCD codes
linear codes
reversible BCH codes

Access to Document

10.1109/TIT.2017.2723363

Cite this

@article{2585bc574a4d4b5386fc0a161af814cc,

title = "Two Families of LCD BCH Codes",

abstract = "Historically, LCD cyclic codes were referred to as reversible cyclic codes, which had applications in data storage. Due to a newly discovered application in cryptography, there has been renewed interest in LCD codes. In this paper, we explore two special families of LCD cyclic codes, which are both BCH codes. The dimensions and the minimum distances of these LCD BCH codes are investigated.",

keywords = "BCH codes, LCD codes, linear codes, reversible BCH codes",

author = "Shuxing Li and Chengju Li and Cunsheng Ding and Hao Liu",

note = "Publisher Copyright: {\textcopyright} 1963-2012 IEEE.",

year = "2017",

month = sep,

doi = "10.1109/TIT.2017.2723363",

language = "英语",

volume = "63",

pages = "5699--5717",

journal = "IEEE Transactions on Information Theory",

issn = "0018-9448",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

number = "9",

}

TY - JOUR

T1 - Two Families of LCD BCH Codes

AU - Li, Shuxing

AU - Li, Chengju

AU - Ding, Cunsheng

AU - Liu, Hao

PY - 2017/9

Y1 - 2017/9

N2 - Historically, LCD cyclic codes were referred to as reversible cyclic codes, which had applications in data storage. Due to a newly discovered application in cryptography, there has been renewed interest in LCD codes. In this paper, we explore two special families of LCD cyclic codes, which are both BCH codes. The dimensions and the minimum distances of these LCD BCH codes are investigated.

AB - Historically, LCD cyclic codes were referred to as reversible cyclic codes, which had applications in data storage. Due to a newly discovered application in cryptography, there has been renewed interest in LCD codes. In this paper, we explore two special families of LCD cyclic codes, which are both BCH codes. The dimensions and the minimum distances of these LCD BCH codes are investigated.

KW - BCH codes

KW - LCD codes

KW - linear codes

KW - reversible BCH codes

UR - https://www.scopus.com/pages/publications/85022198004

U2 - 10.1109/TIT.2017.2723363

DO - 10.1109/TIT.2017.2723363

M3 - 文章

AN - SCOPUS:85022198004

SN - 0018-9448

VL - 63

SP - 5699

EP - 5717

JO - IEEE Transactions on Information Theory

JF - IEEE Transactions on Information Theory

IS - 9

M1 - 7968332

ER -

Two Families of LCD BCH Codes

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this