On Minimum Distances of Cyclic Codes of Length 2e Over F2 +u F2

SHI Min-jia; YANG Shan-lin; ZHU Shi-xin

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On Minimum Distances of Cyclic Codes of Length 2^e Over F₂ +u F₂

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- On Minimum Distances of Cyclic Codes of Length 2^e Over F₂ +u F₂
- Acta Electronica Sinica Vol. 39, Issue 1, Pages: 29-34(2011)
- 作者机构：
  
  1. 合肥工业大学计算机网络系统研究所,安徽,合肥,230009
  2. 安徽大学数学科学学院,安徽,合肥,230039
  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
  5. 合肥工业大学计算机网络系统研究所安徽合肥,230009
  6. 安徽大学数学科学学院安徽合肥,230039
  7. 合肥工业大学数学学院安徽合肥,230009
  8. 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：
- DOI：
  CLC： TN911.22
- Published：2011
- 稿件说明：
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SHI Min-jia, YANG Shan-lin, ZHU Shi-xin. On Minimum Distances of Cyclic Codes of Length 2^e Over F₂ +u F₂[J]. Acta Electronica Sinica, 2011, 39(1): 29-34.
DOI：

SHI Min-jia, YANG Shan-lin, ZHU Shi-xin. On Minimum Distances of Cyclic Codes of Length 2^e Over F₂ +u F₂[J]. Acta Electronica Sinica, 2011, 39(1): 29-34. DOI：

摘要

确定码字的Hamming距离和Lee距离是解码的关键.本文对环

上长度为2

的循环码的结构进行了分类.确定了环

上某些长度为2

的循环码的Hamming距离和Lee距离.给出了环

上长度为2

的其它循环码的Hamming距离的上界及Lee距离的上界和下界.

Abstract

Determining the Hamming distances and Lee distances of codes is the key of decoding.In this paper

the structures of cyclic codes over ring

are classified.The Hamming distances and Lee distances of some cyclic codes of length 2

over ring

are determined.The upper bound of Hamming distance of other cyclic codes of length 2

over ring

are given

and the upper and lower bound of Lee distances of these cyclic codes are also given.

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