Construction of One-Gray Weight Codes and Two-Gray Weight Codes over Z4+uZ4

被引：0

作者：

SHI Minjia ^{[1
,2
,3
]}

WANG Dandan ^{[1
,2
,3
]}

GAO Jian ^{[4
]}

WU Bo ^{[5
,3
]}

机构：

[1] Key Laboratory of Intelligent Computing & Signal Processing, Ministry of Education, Anhui University

[2] National Mobile Communications Research Laboratory, Southeast University

[3] School of Mathematical Sciences, Anhui University

[4] School of Science, Shandong University of Technology

[5] State Key Laboratory of Information Security, Institute of Information Engineering, Chinese Academy of Sciences

来源：

Journal of Systems Science & Complexity | 2016年 / 29卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Generator matrix; Gray map; linear code; one-Gray weight code; two-Gray weight code;

D O I：

暂无

中图分类号：

O157.4 [编码理论（代数码理论）];

学科分类号：

070104 ;

摘要：

This paper firstly gives some necessary conditions on one-Gray weight linear codes. And then we use these results to construct several classes of one-Gray weight linear codes over Z4+uZ4(u2=u) with type 16k18k28k34k44k54k62k72k8based on a distance-preserving Gray map from(Z4 + u Z4)n to Z2n4. Secondly, the authors use the similar approach to do works on two-Gray(projective) weight linear codes. Finally, some examples are given to illustrate the construction methods.

引用

页码：1472 / 1484

页数：13

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