MacWilliams Identities of Linear Codes Over Ring Z<sub>4</sub> with Respect to the RT Metric

ZHU Shi-xin; XU He-qian; SHI Min-jia

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MacWilliams Identities of Linear Codes Over Ring Z₄ with Respect to the RT Metric

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- MacWilliams Identities of Linear Codes Over Ring Z₄ with Respect to the RT Metric
- Acta Electronica Sinica Vol. 37, Issue 5, Pages: 1115-1118(2009)
- 作者机构：
  
  1. 合肥工业大学数学系,安徽,合肥,230009
  2. 合肥师范学院数学系,安徽,合肥,230601
  3. 安徽大学数学科学学院,安徽,合肥,230601
  4. 合肥工业大学数学系安徽合肥,230009
  5. 合肥师范学院数学系,安徽,合肥,230601
  6. 安徽大学数学科学学院安徽合肥,230601
- 作者简介：
- 基金信息：
- DOI：
  CLC： TN911.22
- Published：2009
- 稿件说明：
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ZHU Shi-xin, XU He-qian, SHI Min-jia. MacWilliams Identities of Linear Codes Over Ring Z₄ with Respect to the RT Metric[J]. Acta Electronica Sinica, 2009, 37(5): 1115-1118.
DOI：

ZHU Shi-xin, XU He-qian, SHI Min-jia. MacWilliams Identities of Linear Codes Over Ring Z₄ with Respect to the RT Metric[J]. Acta Electronica Sinica, 2009, 37(5): 1115-1118. DOI：

摘要

Abstract

There has been a recent growth of interest in codes with respect to a newly defined non-Hamming metric grown as the Rosenbloom-Tsfasman metric (RT

in short).In this paper

the definitions of the Lee complete

weight enumerator and the exact complete

weight enumerator of codes over ring

are given

and the MacWilliams identities with respect to this RT metric for the two weight enumerators of linear codes over

were proven respectively.It is not necessary

according to the identities

to obtain the dual code

⊥

of the

-linear code

we can get the Lee complete

weight enumerator and the exact complete

weight enumerator of the dual code

⊥

directly.

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HUANG Lei

SHI Min-jia

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LI Hong-ju

Related Institution

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⁰

MacWilliams Identities of Linear Codes Over Ring Z4 with Respect to the RT Metric

DOI：

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MacWilliams Identities of Linear Codes Over Ring Z₄ with Respect to the RT Metric