MacWilliams Identities of Linear Codes over a Matrix Ring with Respect to Rosenbloom-Tsfasman Metric
MacWilliams Identities of Linear Codes over a Matrix Ring with Respect to Rosenbloom-Tsfasman Metric
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DOI：
10.7763/ijiee.2015.v5.527
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发表时间：
2015
期刊：
影响因子：
--
通讯作者：
Dandan Wang;M. Shi;Yan Liu
中科院分区：
文献类型：
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作者：
Dandan Wang;M. Shi;Yan Liu
摘要给出了矩阵环上ρ完全权枚举数和精确完全权枚举数的定义，并分别得到了矩阵环上线性码的两个权枚举数关于RT度规的MacWilliams恒等式。最后，给出了一个算例来说明所得结果。
Abstract—The definitions of ρ complete weight enumerator and exact complete ρ weight enumerator over a matrix ring are given, and the MacWilliams identities with respect to RT metric for the two weight enumerators of linear codes over the matrix ring are obtained, respectively. Finally, we give an example to illustrate our obtained results.