数学物理学报(英文版) ›› 2013, Vol. 33 ›› Issue (3): 687-700.doi: 10.1016/S0252-9602(13)60030-2

• 论文 • 上一篇    下一篇

MATRIX PRODUCT CODES WITH ROSENBLOOM-TSFASMAN METRIC

陈博聪|林丽仁|刘宏伟*   

  1. School of Mathematics and Statistics, Central China Normal University, Wuhan 430079, China
  • 收稿日期:2012-01-07 修回日期:2012-06-11 出版日期:2013-05-20 发布日期:2013-05-20
  • 通讯作者: 刘宏伟,h_w_liu@yahoo.com.cn E-mail:b_c_chen@yahoo.com.cn; lirenlin86@yahoo.com.cn; h_w_liu@yahoo.com.cn
  • 基金资助:

    This work was supported by NSFC (11171370).

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).

摘要:

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.

关键词: Finite commutative Frobenius ring, matrix product code, Rosenbloom-Tsfasman metric

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

中图分类号: 

  • 94B05