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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.
In order to construct the LDPC code which has good performance both in the waterfall area and the false leveling area, a construction method of increasing the minimum Hamming distance of the multi-quasi-cyclic LDPC is proposed. The QC LDPC codes are proved to have two upper bounds of the minimum Hamming distance and a basic matrix design supporting linear complexity parallel coding is proposed and the principle of construction is given.The QC LDPC codes constructed according to the principle And reach the upper bound of its minimum Hamming distance, with the advantages of parallel linear coding.The simulation results show that the code has good performance in the waterfall area and has better false leveling properties.