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中文摘要：
为了构造在瀑布区和错误平层区都具有良好性能的多元低密度校验（LDPC）码,提出了一种提高多元准循环（QC）LDPC最小汉明距离的构造方法.针对列重为2的QC LDPC码,证明了其最小汉明距离的2个上界,并提出了一种支持线性复杂度并行编码的基矩阵设计,给出了构造原则.根据该原则构造出的QC LDPC码可达到其最小汉明距离上界,且具备并行线性编码的优点.仿真结果表明,该码在瀑布区域具有良好的性能,同时具有较好的错误平层特性.
英文摘要：
In order to construct nonbinary low-density parity-check（LDPC） codes with good waterfall and error floor properties,a method to improve the minimum Hamming distance of a class of nonbinary quasi-cyclic（QC） LDPC codes is presented.Two upper bounds on the minimum Hamming distance are derived for the nonbinary QC LDPC codes whose parity-check matrices consist of weight-2 columns.A special base matrix design allowing linear encoding in a parallel manner is also proposed.In addition,the design principals are given,according to which,the parallel and efficiently encodable codes reaching the upper bound on the minimum Hamming distance can be developed.Simulation shows that the proposed codes have both good waterfall and error floor properties.
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