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Faculty of Science, University of Brunei Darussalam, Brunei Darussalam   
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IJIEE 2015 Vol.5(3): 184-188 ISSN: 2010-3719
DOI: 10.7763/IJIEE.2015.V5.527

MacWilliams Identities of Linear Codes over a Matrix Ring with Respect to Rosenbloom-Tsfasman Metric

Dandan Wang, Minjia Shi, and Yan Liu
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.

Index Terms— RT metric, weight enumerator, MacWilliams identity, dual code.

The authors are with the School of Mathematical Sciences, Anhui University, Anhui 230601, China (corresponding author: Minjia Shi; e-mail: wangdan244567@163.com, smjwcl.good@163.com, liuyan2612@126.com).

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Cite: Dandan Wang, Minjia Shi, and Yan Liu, " MacWilliams Identities of Linear Codes over a Matrix Ring with Respect to Rosenbloom-Tsfasman Metric," International Journal of Information and Electronics Engineering vol. 5, no. 3, pp. 184-188, 2015.

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