基于自对偶码的LDPC码构造(英文)
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  • 英文篇名:Construction of LDPC Code Based on Self-dual Code
  • 作者:晁海洲 ; 倪翔飞
  • 英文作者:CHAO Hai-zhou;Ni Xiang-fei;Department of Basic Courses,Shanghai University of Finance & Economics Zhejiang College;Department of Mathematics,Zhejiang Normal University;
  • 关键词:LDPC码 ; 自对偶码 ; α-位置向量函数 ; 代数编码理论 ; 生成矩阵
  • 英文关键词:LDPC code;;self-dual code;;α-location vector function;;algebraic coding theory;;generator matrix
  • 中文刊名:GKSX
  • 英文刊名:College Mathematics
  • 机构:上海财经大学浙江学院;浙江师范大学数理与信息工程学院;
  • 出版日期:2016-02-15
  • 出版单位:大学数学
  • 年:2016
  • 期:v.32;No.183
  • 基金:National Science Foundation of China(11401534),(11226050)and(61272007)
  • 语种:英文;
  • 页:GKSX201601002
  • 页数:4
  • CN:01
  • ISSN:34-1221/O1
  • 分类号:11-14
摘要
给出了一种通过自对偶码构造LDPC码的新方法.分析了此类码的码长及码率的范围.并通过MATLAB编程搜索找到了由在GF(11)上码长为16的自对偶码生成的一个具有较高码率和较好性质的LDPC码的实例.
        A new method for constructing LDPC codes based on self-dual code is introduced.Rates and lengths of these codes are analyzed.Code with high rate and good property in this class has been searched out by using MATLAB when the length of self-dual code on GF(11)is 16.
引文
[1] Gallager RG.Low Density Parity Check Codes[M].Cambridge,MA:MIT Press,1963.
    [2] Shannon CE.A mathematical theory of communication[J].Bell systems Technology Journal,1948,27:379-423.
    [3] Chung S,Forney GD,Richardson JJ and Urbanke R.On the design of low-denisty parity-check codes within0.0045db of the Shannon limit[J].IEEE Commun.Lett.,2001,5:58-60.
    [4] Djurdjevic I,Xu J,Abdel-Ghaffar K and Lin S.A class of Low-density parity-check codes Constructed based on Reed-Solomon codes with two information symbols[J].IEEE Commun.Lett.,2003,7:317-319.
    [5] Koichi Betsumiya,Telio Georgiou,Aron Gulliver T,Masaaki Harada and Christos Koukouvinos.On self-Dual Codes over Some Prime Fields[J].Discrete Math.,2003,262:37-58.

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