Acta mathematica scientia,Series B ›› 2013, Vol. 33 ›› Issue (3): 687-700.doi: 10.1016/S0252-9602(13)60030-2

• Articles • Previous Articles     Next Articles

MATRIX PRODUCT CODES WITH ROSENBLOOM-TSFASMAN METRIC

 CHEN Bo-Cong, LIN Li-Ren, LIU Hong-Wei*   

  1. School of Mathematics and Statistics, Central China Normal University, Wuhan 430079, China
  • Received:2012-01-07 Revised:2012-06-11 Online:2013-05-20 Published:2013-05-20
  • Contact: LIU Hong-wei,h_w_liu@yahoo.com.cn E-mail:b_c_chen@yahoo.com.cn; lirenlin86@yahoo.com.cn; h_w_liu@yahoo.com.cn
  • 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.

Key words: Finite commutative Frobenius ring, matrix product code, Rosenbloom-Tsfasman metric

CLC Number: 

  • 94B05
Trendmd