Articles

MATRIX PRODUCT CODES WITH ROSENBLOOM-TSFASMAN METRIC

  • CHEN Bo-Cong ,
  • LIN Li-Ren ,
  • LIU Hong-Wei
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  • School of Mathematics and Statistics, Central China Normal University, Wuhan 430079, China

Received date: 2012-01-07

  Revised date: 2012-06-11

  Online published: 2013-05-20

Supported by

This work was supported by NSFC (11171370).

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.

Cite this article

CHEN Bo-Cong , LIN Li-Ren , LIU Hong-Wei . MATRIX PRODUCT CODES WITH ROSENBLOOM-TSFASMAN METRIC[J]. Acta mathematica scientia, Series B, 2013 , 33(3) : 687 -700 . DOI: 10.1016/S0252-9602(13)60030-2

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