Complete weight enumerators of linear codes over non-principal idea ring

被引：0

作者：

Xu, Heqian ^{[1
]}

Du, Wei ^{[2
]}

机构：

[1] School of Mathematics and Statistics, Hefei Normal University, Hefei

[2] Department of Mathematics and Computational Science, Huainan Normal University, Huainan

来源：

Journal of Computational Information Systems | 2014年 / 10卷 / 15期

关键词：

Complete Weight Enumerator; Linear Code; MacWilliams Identity; Symmetrized Weight Enumerator;

D O I：

10.12733/jcis10882

中图分类号：

TP3 [计算技术、计算机技术];

学科分类号：

0812 ;

摘要：

A complete weight enumerator of a linear code over ring Fp+vFp is defined in this paper, and MacWilliams identity between a linear code and its dual over the ring Fp+vFp with respect to the enumerator is given. By using this complete weight enumerator, a symmetrized MacWilliams identity between a linear code and its dual over the ring is established also, and MacWilliams identities with respect to Hamming or Lee enumerator can be as results of the symmetrized MacWilliams identity. Conclusions obtained in our paper will have certain significance for insight into the inner structure of codes over ring Fp+vFp. © 2014 Binary Information Press

引用

页码：6435 / 6442

页数：7

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