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

^*此作品的通讯作者

软件工程学院

East China Normal University
Putian University
Tongji University

科研成果: 期刊稿件 › 文章 › 同行评审

6 引用（Scopus）

摘要

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.

源语言	英语
文章编号	9288768
页（从-至）	1070-1073
页数	4
期刊	IEEE Communications Letters
卷	25
期	4
DOI	https://doi.org/10.1109/LCOMM.2020.3043448
出版状态	已出版 - 4月 2021

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10.1109/LCOMM.2020.3043448

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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.",

year = "2021",

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doi = "10.1109/LCOMM.2020.3043448",

language = "英语",

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AU - Gan, Chunyu

AU - Li, Chengju

AU - Qian, Haifeng

PY - 2021/4

Y1 - 2021/4

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

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DO - 10.1109/LCOMM.2020.3043448

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JO - IEEE Communications Letters

JF - IEEE Communications Letters

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M1 - 9288768

ER -

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

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