| 基于移位矩阵优化的LDPC码构造 |
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| 引用本文： | 薛栋亮,李祥学,郑东. 基于移位矩阵优化的LDPC码构造[J]. 信息安全与通信保密, 2011, 0(3): 55-57,60 |
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| 作者姓名： | 薛栋亮 李祥学 郑东 |
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| 作者单位： | 1. 上海交通大学信息安全工程学院,上海,200240
2. 华东师范大学计算机科学与技术系,上海,200241;杭州师范大学,杭州市电子商务与信息安全重点实验室,浙江,杭州,310036 |
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| 摘 要： | 环的存在对准循环LDPC（Low Density Parity Code）码的译码效率造成很大影响,拥有尽可能好的girth分布的校验矩阵对于码的性能改善有着重要的意义。首先对准循环LDPC码校验矩阵的girth分布进行分析,然后在母矩阵和移位矩阵之间设定一个合理的约束关系,使得构造后的校验矩阵最小环长及平均最小环长追求最大化,最后提出了一种易于实现的具有高girth的QC-LDPC（Quasi cyclic-Low Density Parity Code）码构造方法。仿真结果表明,该方法尽量减少码中的短循环,能构造实用化的好码。
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| 关 键 词： | QC-LDPC Bit-filling算法 循环置换矩阵 环 |
Construction of LDPC Code based on Permutation Matrices Optimization |
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| XUE Dong-liang,LI Xiang-xue,ZHENG Dong. Construction of LDPC Code based on Permutation Matrices Optimization[J]. China Information Security, 2011, 0(3): 55-57,60 |
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| Authors: | XUE Dong-liang LI Xiang-xue ZHENG Dong |
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| Affiliation: | XUE Dong-liang1,LI Xiang-xue2,3,ZHENG Dong1(1School of Information Security Engineering,Shanghai Jiaotong University,Shanghai 200240,China,2Computer Science and Technology,East China Normal University,Shanghai 200241,3Hangzhou Key Lab of Electronic Commerce and Information Security,Hangzhou Normal University University,Hangzhou Zhejiang 310036,China) |
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| Abstract: | The presence of circles would lay a great impact on the quasi-cyclic LDPC decoding.Therefore,the parity check matrix with good girth distribution is beneficial to the performance of code.This paper first makes a analysis on girth distribution of the check matrix.Then a reasonable constraint is set between the mother matrix and shift matrix,thus,by this way,the check matrix could maximize the minimum cycle length of the check matrix and the average length of the cycle.Finally,a method to construct QC-LDPC co... |
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| Keywords: | QC-LDPC |
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