A Quasi-cyclic LDPC Codes Construction Scheme Based on Pseudo-cyclic MDS Codes
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摘要: 该文提出了一种利用两个信息符号的伪循环最大距离可分(MDS)码，构造围长为6的准循环低密度奇偶校验(LDPC)码的方法。在GF(q)中，它通过直接计算长为q+1的伪循环MDS码生成多项式，构造准循环LDPC码的校验矩阵。其主要利用了含两个信息符号的伪循环MDS码字特殊的循环性，及任意两个码字间距离不小于q的特点，使所构造的准循环LDPC码保证无4环。仿真结果表明，基于伪循环MDS码的准循环LDPC码在高斯信道下，能获得较好的误码性能。
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关键词:
- 准循环低密度奇偶校验(LDPC)码 /
- 伪循环最大距离可分(MDS)码 /
- 本原元 /
- 生成多项式
Abstract: This paper proposes a construction scheme of girth-6 quasi-cyclic Low-Density Check-Parity (LDPC) codes based on pseudo-cyclic Maximum Distance Separable (MDS) codes with two information symbols. The parity-check matrix of an quasi-cyclic LDPC code in GF(q) can be constructed by calculating the generator polynomials of pseudo-cyclic MDS code with length q+1 directly. It utilizes mainly the special characteristic of the circularity of pseudo-cyclic MDS codes with two information symbols. Also the distance between arbitrary two codes is not less than q. Therefore, it guarantees no cycles-4 in the construction of the quasi-cyclic LDPC codes. Simulation results show that the quasi-cyclic LDPC codes based on pseudo-cyclic MDS codes perform well in an AGWN channel. -
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