Constacyclic Codes over the Ring F2+uF2+u2F2

DING Jian; LI Hong-ju; ZUO Xue-wu; LIANG Jing

doi:10.3969/j.issn.0372-2112.2015.01.023

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Constacyclic Codes over the Ring F₂+uF₂+u²F₂

更新时间：2025-07-16

- Constacyclic Codes over the Ring F₂+uF₂+u²F₂
- Acta Electronica Sinica Vol. 43, Issue 1, Pages: 145-150(2015)
- 作者机构：
  
  安徽新华学院公课部,安徽,合肥,230088
- 作者简介：
- 基金信息：
  
  Natural Science Program of Education Department of Anhui Province (No.KJ2013B107);Research and Quality Engineering Project of Anhui Xinhua University (No.2013tskcx06, No.2013jgkcx09, No.2014Zr009)
- DOI：10.3969/j.issn.0372-2112.2015.01.023
  CLC： TN911.22
- Published：2015
- 稿件说明：
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DING Jian, LI Hong-ju, ZUO Xue-wu, et al. Constacyclic Codes over the Ring F₂+uF₂+u²F₂[J]. Acta Electronica Sinica, 2015, 43(1): 145-150.
DOI：

DING Jian, LI Hong-ju, ZUO Xue-wu, et al. Constacyclic Codes over the Ring F₂+uF₂+u²F₂[J]. Acta Electronica Sinica, 2015, 43(1): 145-150. DOI： 10.3969/j.issn.0372-2112.2015.01.023.

摘要

常循环码是一类重要的纠错码

本文基于(

－1)在

[

]

上的分解

探讨了环

上任意长度的(1+

)常循环码的极小生成元集(

为

上的单位).通过分析该环上循环码和常循环码的置换等价性

得到了该环上码长为奇数及码长

2(mod 4)时(1+

)常循环码的生成多项式和极小生成元集.

Abstract

Constacyclic codes are a kind of important error-correcting codes.In view of the factorization of (

－1) in

[

]

the minimal generating set of (1+

) constacyclic codes with an arbitrary length N over the ring

are investigated

where

is a unit of the ring

.Based on the analysis of the equivalence between cyclic codes and constacyclic codes over the ring

the generator polynomials and minimal

generating set of (1+

) constacyclic codes with odd length are obtained

so are the codes with length

2(mod 4).

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