NEW TERNARY LCD CYCLIC AND BCH CODES

Conghui Xie; Hao Chen; Chengju Li

doi:10.3934/amc.2024022

NEW TERNARY LCD CYCLIC AND BCH CODES

Conghui Xie^*, Hao Chen, Chengju Li

^*Corresponding author for this work

Software Engineering Institute

Jinan University

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

Abstract

The intersection C C^⊥ of a linear code C and its dual C^⊥ is called the hull of this code. When the hull of the code C is zero, the code C is called an LCD code. In this paper, we construct two new families of ternary LCD cyclic and BCH codes. Actually, we give some lengths such that any cyclic codes with these lengths are always LCD.

Original language	English
Pages (from-to)	748-754
Number of pages	7
Journal	Advances in Mathematics of Communications
Volume	19
Issue number	2
DOIs	https://doi.org/10.3934/amc.2024022
State	Published - Apr 2025

Keywords

BCH code
Cyclic code
LCD code

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10.3934/amc.2024022

Cite this

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title = "NEW TERNARY LCD CYCLIC AND BCH CODES",

abstract = "The intersection C C⊥ of a linear code C and its dual C⊥ is called the hull of this code. When the hull of the code C is zero, the code C is called an LCD code. In this paper, we construct two new families of ternary LCD cyclic and BCH codes. Actually, we give some lengths such that any cyclic codes with these lengths are always LCD.",

keywords = "BCH code, Cyclic code, LCD code",

author = "Conghui Xie and Hao Chen and Chengju Li",

year = "2025",

month = apr,

doi = "10.3934/amc.2024022",

language = "英语",

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publisher = "American Institute of Mathematical Sciences",

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AU - Xie, Conghui

AU - Chen, Hao

AU - Li, Chengju

PY - 2025/4

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N2 - The intersection C C⊥ of a linear code C and its dual C⊥ is called the hull of this code. When the hull of the code C is zero, the code C is called an LCD code. In this paper, we construct two new families of ternary LCD cyclic and BCH codes. Actually, we give some lengths such that any cyclic codes with these lengths are always LCD.

AB - The intersection C C⊥ of a linear code C and its dual C⊥ is called the hull of this code. When the hull of the code C is zero, the code C is called an LCD code. In this paper, we construct two new families of ternary LCD cyclic and BCH codes. Actually, we give some lengths such that any cyclic codes with these lengths are always LCD.

KW - BCH code

KW - Cyclic code

KW - LCD code

UR - https://www.scopus.com/pages/publications/85210817766

U2 - 10.3934/amc.2024022

DO - 10.3934/amc.2024022

M3 - 文章

AN - SCOPUS:85210817766

SN - 1930-5346

VL - 19

SP - 748

EP - 754

JO - Advances in Mathematics of Communications

JF - Advances in Mathematics of Communications

IS - 2

ER -

NEW TERNARY LCD CYCLIC AND BCH CODES

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