Hulls of q -Ary Narrow-Sense BCH Codes of Length q4- 1

Yabo Yang; Chengju Li; Xueying Shi

doi:10.1142/S0129054125500339

Hulls of q -Ary Narrow-Sense BCH Codes of Length q⁴- 1

Yabo Yang
, Chengju Li^*
, Xueying Shi

^*Corresponding author for this work

Software Engineering Institute

East China Normal University
TaiZhou University

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

Abstract

Let C(q,n,δ) be the narrow-sense BCH code over Fq of length >n = q4 - 1 with designed distance δ. This paper mainly investigates the parameters of the codes (q,n,δ) and their hulls for 2 ≤ δ ≤ n. A sufficient and necessary condition on the designed distance such that the hull has the largest dimension is presented. Finally, examples of self-orthogonal codes from their hulls are obtained.

Original language	English
Journal	International Journal of Foundations of Computer Science
DOIs	https://doi.org/10.1142/S0129054125500339
State	Accepted/In press - 2025

Keywords

BCH code
cyclotomic coset
hull
Linear code
self-orthogonal code

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10.1142/S0129054125500339

Cite this

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title = "Hulls of q -Ary Narrow-Sense BCH Codes of Length q4- 1",

abstract = "Let C(q,n,δ) be the narrow-sense BCH code over Fq of length >n = q4 - 1 with designed distance δ. This paper mainly investigates the parameters of the codes (q,n,δ) and their hulls for 2 ≤ δ ≤ n. A sufficient and necessary condition on the designed distance such that the hull has the largest dimension is presented. Finally, examples of self-orthogonal codes from their hulls are obtained.",

keywords = "BCH code, cyclotomic coset, hull, Linear code, self-orthogonal code",

author = "Yabo Yang and Chengju Li and Xueying Shi",

note = "Publisher Copyright: {\textcopyright} 2025 World Scientific Publishing Company.",

year = "2025",

doi = "10.1142/S0129054125500339",

language = "英语",

journal = "International Journal of Foundations of Computer Science",

issn = "0129-0541",

publisher = "World Scientific Publishing Co. Pte Ltd",

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TY - JOUR

T1 - Hulls of q -Ary Narrow-Sense BCH Codes of Length q4- 1

AU - Yang, Yabo

AU - Li, Chengju

AU - Shi, Xueying

PY - 2025

Y1 - 2025

N2 - Let C(q,n,δ) be the narrow-sense BCH code over Fq of length >n = q4 - 1 with designed distance δ. This paper mainly investigates the parameters of the codes (q,n,δ) and their hulls for 2 ≤ δ ≤ n. A sufficient and necessary condition on the designed distance such that the hull has the largest dimension is presented. Finally, examples of self-orthogonal codes from their hulls are obtained.

AB - Let C(q,n,δ) be the narrow-sense BCH code over Fq of length >n = q4 - 1 with designed distance δ. This paper mainly investigates the parameters of the codes (q,n,δ) and their hulls for 2 ≤ δ ≤ n. A sufficient and necessary condition on the designed distance such that the hull has the largest dimension is presented. Finally, examples of self-orthogonal codes from their hulls are obtained.

KW - BCH code

KW - cyclotomic coset

KW - hull

KW - Linear code

KW - self-orthogonal code

UR - https://www.scopus.com/pages/publications/105018349590

U2 - 10.1142/S0129054125500339

DO - 10.1142/S0129054125500339

M3 - 文章

AN - SCOPUS:105018349590

SN - 0129-0541

JO - International Journal of Foundations of Computer Science

JF - International Journal of Foundations of Computer Science

ER -

Hulls of q -Ary Narrow-Sense BCH Codes of Length q⁴- 1

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Keywords

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