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Matrix product codes with rosenbloom-tsfasman metric
Authors:Bocong CHEN  Liren LIN  Hongwei LIU
Affiliation:School of Mathematics and Statistics, Central China Normal University, Wuhan 430079, China
Abstract:In this article, the Rosenbloom-Tsfasman metric of matrix product codes over finite commutative rings is studied and the lower bounds for the minimal Rosenbloom-Tsfasman distances of the matrix product codes are obtained. The lower bounds of the dual codes of matrix product codes over finite commutative Frobenius rings are also given.
Keywords:Finite commutative Frobenius ring   matrix product code   Rosenbloom-Tsfasman metric
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