Constacyclic Self-Dual Codes over Ring F2+uF2+…+uk-1F2

SHI Min-jia

doi:10.3969/j.issn.0372-2112.2013.06.008

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Constacyclic Self-Dual Codes over Ring F₂+uF₂+…+u^k-1F₂

更新时间：2025-07-16

- Constacyclic Self-Dual Codes over Ring F₂+uF₂+…+u^k-1F₂
- Acta Electronica Sinica Vol. 41, Issue 6, Pages: 1088-1092(2013)
- 作者机构：
  
  1. 安徽大学数学科学学院,安徽,合肥,230601
  2. 安徽大学数学科学学院,安徽,合肥,230601
- 作者简介：
- 基金信息：
  
  National Natural Science Foundation of China (No.61202068, No.11126174);Key Program of Outstanding Young Talents Fund in Colleges and Universities of Anhui Province (No.2012SQRL0202D)
- DOI：10.3969/j.issn.0372-2112.2013.06.008
  CLC： TN911.22
- Published：2013
- 稿件说明：
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SHI Min-jia. Constacyclic Self-Dual Codes over Ring F₂+uF₂+…+u^k-1F₂[J]. Acta Electronica Sinica, 2013, 41(6): 1088-1092.
DOI：

SHI Min-jia. Constacyclic Self-Dual Codes over Ring F₂+uF₂+…+u^k-1F₂[J]. Acta Electronica Sinica, 2013, 41(6): 1088-1092. DOI： 10.3969/j.issn.0372-2112.2013.06.008.

摘要

Abstract

Recently

a lot of coding scholars show a great interest in the study of constacyclic codes and constacyclic self-dual codes over the residue rings.In this paper

by utilizing some related linear codes

we first give the general theory of constacyclic self-dual codes of length

over a class of special finite chain rings.Using the obtained results

we give the sufficient conditions of the existence of constacyclic self-dual codes of length

over the ring.Finally

we determine the structures of some constacyclic self-dual codes of length

over the ring and give their generator polynomials.

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