The geometric structure of relative one-weight codes

Zihui Liu; Xiangyong Zeng

doi:10.3934/amc.2016011

The geometric structure of relative one-weight codes

Zihui Liu^*
, Xiangyong Zeng

^*此作品的通讯作者

数学学院

Hubei University

科研成果: 期刊稿件 › 文章 › 同行评审

1 引用（Scopus）

摘要

The geometric structure of any relative one-weight code is determined, and by using this geometric structure, the support weight distribution of subcodes of any relative one-weight code is presented. An application of relative one-weight codes to the wire-tap channel of type II with multiple users is given, and certain kinds of relative one-weight codes all of whose nonzero codewords are minimal are determined.

源语言	英语
页（从-至）	367-377
页数	11
期刊	Advances in Mathematics of Communications
卷	10
期	2
DOI	https://doi.org/10.3934/amc.2016011
出版状态	已出版 - 5月 2016

访问文件

10.3934/amc.2016011

其它文件与链接

链接到 Scopus 的出版物

引用此

@article{6230d0cc4f64485d8b18c92abb56459a,

title = "The geometric structure of relative one-weight codes",

abstract = "The geometric structure of any relative one-weight code is determined, and by using this geometric structure, the support weight distribution of subcodes of any relative one-weight code is presented. An application of relative one-weight codes to the wire-tap channel of type II with multiple users is given, and certain kinds of relative one-weight codes all of whose nonzero codewords are minimal are determined.",

keywords = "Geometric structure, Minimal codeword, Relative one-weight, Relative projective subspace, Support weight distribution",

author = "Zihui Liu and Xiangyong Zeng",

note = "Publisher Copyright: {\textcopyright} 2016 AIMS.",

year = "2016",

month = may,

doi = "10.3934/amc.2016011",

language = "English",

volume = "10",

pages = "367--377",

journal = "Advances in Mathematics of Communications",

issn = "1930-5346",

publisher = "American Institute of Mathematical Sciences",

number = "2",

}

TY - JOUR

T1 - The geometric structure of relative one-weight codes

AU - Liu, Zihui

AU - Zeng, Xiangyong

PY - 2016/5

Y1 - 2016/5

N2 - The geometric structure of any relative one-weight code is determined, and by using this geometric structure, the support weight distribution of subcodes of any relative one-weight code is presented. An application of relative one-weight codes to the wire-tap channel of type II with multiple users is given, and certain kinds of relative one-weight codes all of whose nonzero codewords are minimal are determined.

AB - The geometric structure of any relative one-weight code is determined, and by using this geometric structure, the support weight distribution of subcodes of any relative one-weight code is presented. An application of relative one-weight codes to the wire-tap channel of type II with multiple users is given, and certain kinds of relative one-weight codes all of whose nonzero codewords are minimal are determined.

KW - Geometric structure

KW - Minimal codeword

KW - Relative one-weight

KW - Relative projective subspace

KW - Support weight distribution

UR - https://www.scopus.com/pages/publications/84964796114

U2 - 10.3934/amc.2016011

DO - 10.3934/amc.2016011

M3 - Article

AN - SCOPUS:84964796114

SN - 1930-5346

VL - 10

SP - 367

EP - 377

JO - Advances in Mathematics of Communications

JF - Advances in Mathematics of Communications

IS - 2

ER -

The geometric structure of relative one-weight codes

摘要

访问文件

其它文件与链接

指纹

引用此