Parameters of Hulls of Primitive BCH Codes of Length q3- 1

Chunyu Gan; Chengju Li; Haifeng Qian

doi:10.1109/LCOMM.2020.3043448

Parameters of Hulls of Primitive BCH Codes of Length q³- 1

Chunyu Gan
, Chengju Li^*
, Haifeng Qian

^*Corresponding author for this work

Software Engineering Institute

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

6 Scopus citations

Abstract

Let C(q,n,δ) be the primitive BCH code over Fq of length n=q3-1 with designed distance δ, where Fq is the finite field of order q. In this letter, we investigate the parameters of the codes C(q, n, δ) and their hulls for 2 ≤ δ ≤ n. We also present a sufficient and necessary condition on the designed distance such that the hull has the largest dimension.

Original language	English
Article number	9288768
Pages (from-to)	1070-1073
Number of pages	4
Journal	IEEE Communications Letters
Volume	25
Issue number	4
DOIs	https://doi.org/10.1109/LCOMM.2020.3043448
State	Published - Apr 2021

Keywords

BCH code
Linear code
cyclotomic coset
hull
self-orthogonal code

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10.1109/LCOMM.2020.3043448

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title = "Parameters of Hulls of Primitive BCH Codes of Length q3- 1",

abstract = "Let C(q,n,δ) be the primitive BCH code over Fq of length n=q3-1 with designed distance δ, where Fq is the finite field of order q. In this letter, we investigate the parameters of the codes C(q, n, δ) and their hulls for 2 ≤ δ ≤ n. We also present a sufficient and necessary condition on the designed distance such that the hull has the largest dimension.",

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

author = "Chunyu Gan and Chengju Li and Haifeng Qian",

note = "Publisher Copyright: {\textcopyright} 1997-2012 IEEE.",

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AU - Li, Chengju

AU - Qian, Haifeng

PY - 2021/4

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N2 - Let C(q,n,δ) be the primitive BCH code over Fq of length n=q3-1 with designed distance δ, where Fq is the finite field of order q. In this letter, we investigate the parameters of the codes C(q, n, δ) and their hulls for 2 ≤ δ ≤ n. We also present a sufficient and necessary condition on the designed distance such that the hull has the largest dimension.

AB - Let C(q,n,δ) be the primitive BCH code over Fq of length n=q3-1 with designed distance δ, where Fq is the finite field of order q. In this letter, we investigate the parameters of the codes C(q, n, δ) and their hulls for 2 ≤ δ ≤ n. We also present a sufficient and necessary condition on the designed distance such that the hull has the largest dimension.

KW - BCH code

KW - Linear code

KW - cyclotomic coset

KW - hull

KW - self-orthogonal code

UR - https://www.scopus.com/pages/publications/85097942615

U2 - 10.1109/LCOMM.2020.3043448

DO - 10.1109/LCOMM.2020.3043448

M3 - 文章

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JO - IEEE Communications Letters

JF - IEEE Communications Letters

IS - 4

M1 - 9288768

ER -

Parameters of Hulls of Primitive BCH Codes of Length q³- 1

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Keywords

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