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.
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页码：1472 / 1484
页数：13
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