Torsion Codes of a Class of Constacyclic Codes over Z2m and Their Applications

doi:10.3969/j.issn.0372-2112.2016.08.008

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Torsion Codes of a Class of Constacyclic Codes over Z_2^m and Their Applications

更新时间：2025-07-08

- Torsion Codes of a Class of Constacyclic Codes over Z_2^m and Their Applications
- Acta Electronica Sinica Vol. 44, Issue 8, Pages: 1826-1830(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);Natural Science Foundation of Anhui Province (No.1508085SQA198, No.1508085MA13, No.1408085QF116);Program for Distinguished Young Talents in Higher Education of Anhui Province in 2014;Open Research Fund for State Key Laboratory of Mobile Communication of Southeast University (No.2014D04)
- DOI：10.3969/j.issn.0372-2112.2016.08.008
  CLC： TN911.22
- Published Online：25 August 2016，
  
  Published：2016
- 稿件说明：
移动端阅览
Torsion Codes of a Class of Constacyclic Codes over Z_2^m and Their Applications[J]. Acta Electronica Sinica, 2016, 44(8): 1826-1830.
DOI：

Torsion Codes of a Class of Constacyclic Codes over Z_2^m and Their Applications[J]. Acta Electronica Sinica, 2016, 44(8): 1826-1830. DOI： 10.3969/j.issn.0372-2112.2016.08.008.

摘要

该文研究了环

上任意长的（1+2λ）-常循环码的挠码及其应用.首先，给出环

上（1+2λ）-常循环码的挠码.然后，利用挠码得到环

上某些（1+2λ）-常循环码的齐次距离分布.同时，利用挠码证明了环

上（2

m－1

－1）-常循环自对偶码都是类型I码，并利用这类码构造了极优的类型I码.

Abstract

The torsion codes and their applications of (1+2 λ)-constacyclic codes over the ring

of arbitrary lengths are studied.The torsion codes of (1+2 λ)-constacyclic codes over

are given firstly.Then by using the torsion codes

the homogeneous distance of some (1+2 λ)-constacyclic codes is obtained and it is proved that all

(2m-1

-1)-constacyclic self-dual codes over

are Type I.Some extreme Type I codes are constructed from such constacyclic codes.

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