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.