A Method for Construction Self-dual Codes over Z<sub>4</sub>

YUAN Jian; ZHU Shi-xin; KAI Xiao-shan

doi:10.3969/j.issn.0372-2112.2016.11.034

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A Method for Construction Self-dual Codes over Z₄

更新时间：2025-07-16

- A Method for Construction Self-dual Codes over Z₄
- Acta Electronica Sinica Vol. 44, Issue 11, Pages: 2807-2811(2016)
- 作者机构：
  
  1. 合肥工业大学数学学院,安徽,合肥,230009
  2. 东南大学移动通信国家重点实验室,江苏,南京,210096
  3. 合肥工业大学数学学院,安徽,合肥,230009
  4. 东南大学移动通信国家重点实验室,江苏,南京,210096
- 作者简介：
- 基金信息：
  
  National Natural Science Foundation of China (No.61370089);Open Research Fund for State Key Laboratory of Mobile Communication of Southeast University (No.2014D04);Natural Science Foundation of Anhui Province (No.JZ2015AKZR0021, No.1508085SQA198)
- DOI：10.3969/j.issn.0372-2112.2016.11.034
  CLC： TN991.22
- Published Online：25 November 2016，
  
  Published：2016
- 稿件说明：
移动端阅览
YUAN Jian, ZHU Shi-xin, KAI Xiao-shan. A Method for Construction Self-dual Codes over Z₄[J]. Acta Electronica Sinica, 2016, 44(11): 2807-2811.
DOI：

YUAN Jian, ZHU Shi-xin, KAI Xiao-shan. A Method for Construction Self-dual Codes over Z₄[J]. Acta Electronica Sinica, 2016, 44(11): 2807-2811. DOI： 10.3969/j.issn.0372-2112.2016.11.034.

摘要

利用有限环

（其中

=1）上自对偶码，给出了一种构造

上自对偶码的方法.引入了（

）

到

的保距Gray映射，给出了

上自对偶码的性质，证明了

上长为

的自对偶码的Gray像是

上长为2

的自对偶码，由此构造了

上一些极优的类型I与类型Ⅱ自对偶码.

Abstract

A Method for Construction self-dual codes over

is proposed by using self-dual codes over the ring

where

=1.A Gray map from (

)

is introduced

and some properties about self-dual codes over

are given.It showns that the Gray image of a self-dual code over

of length n is

a self-dual code over

of length 2

.Further

some extremal Type I and Type Ⅱ codes over

are constructed.

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A Method for Construction Self-dual Codes over Z4

DOI：10.3969/j.issn.0372-2112.2016.11.034

摘要

Abstract

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Keywords

references

A Method for Construction Self-dual Codes over Z₄