A Construction of High Rate Quasi-Cyclic Regular LDPC Codes from Cyclic Difference Families with Girth 8
A Construction of High Rate Quasi-Cyclic Regular LDPC Codes from Cyclic Difference Families with Girth 8
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DOI：
10.1093/ietfec/e90-a.5.1055
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发表时间：
2007-05
期刊：
影响因子：
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通讯作者：
M. Fujisawa;S. Sakata
中科院分区：
文献类型：
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作者：
M. Fujisawa;S. Sakata
本文提出了一种由循环差族构造准循环正则LDPC码的方法，这是一种组合设计。所得到的代码没有4-循环，即长度为4的循环，并且由具有高速率和大代码长度的代码的生成器的小集合定义。特别地，对于列重为3的LDPC码，我们阐明了它们没有6-圈的条件，并改进了它们的最小距离。最后，我们展示了所提出的高速率和中等长度的代码的性能。
In this paper we propose a method of constructing quasi-cyclic regular LDPC codes from a cyclic difference family, which is a kind of combinatorial design. The resulting codes have no 4-cycle, i.e. cycles of length four and are defined by a small set of generators of codes with high rate and large code length. In particular, for LDPC codes with column weight three, we clarify the conditions on which they have no 6-cycle and their minimum distances are improved. Finally, we show the performance of the proposed codes with high rates and moderate lengths.