文章基本信息

标题：The Gray images of linear codes over the ring F3+vF3+v2F3
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作者：Yazhou Xiong ; Shujie Yun ; Jingyuan Xing 等
期刊名称：International Journal of Computer Science Issues
印刷版ISSN：1694-0784
电子版ISSN：1694-0814
出版年度：2013
卷号：10
期号：2
出版社：IJCSI Press
摘要：In this work, we focus on the Gray images of the linear codes over the ring , which is a finite chain ring. Firstly, we give the generator matrix of the linear code and its dual code over the ring . Secondly, we define an isomorphism from to and obtain the generator matrix of the linear code and its dual code over the ring . Then, we define a Gray map from to , and obtain Gray image from the generator matrix of the linear code over the ring . Finally, we prove that the Gray images of cyclic codes are quasi-cyclic codes over .
关键词：Linear codes; Generator matrix; Gray image; Dual code