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中文摘要：
为降低短环对低密度奇偶校验（10w—density parity-check，LDPC）码迭代译码性能的影响，提出一种改进的基于欧氏几何的准循环LDPC码构造方法。利用已有的欧氏几何方法构造出不含4环的大矩阵，统计其中的短环分布并逐步将参与短环数最多的行和列删除，使构造出的准循环LDPC码包含较少的短环，从而降低短环对迭代译码性能的影响。仿真结果表明，与已有欧氏几何LDPC码相比，改进方法构造的LDPC码具有更少的短环，可获得更好的纠错性能。
英文摘要：
In order to solve the problem that short cycles degrade the iterative decoding perform- ance of low-density parity-check （LDPC） codes, an improved method for constructing quasi-cyclic LDPC codes based on Euclidean geometry is proposed. Based on the structural properties of Eu- clidean geometry, a large sparse matrix without 4-cycles is designed, and then the rows and col- umns related to the maximum number of short cycles are deleted after analyzing the distribution of short cycles. The improved method can construct quasi-cyclic LDPC codes with less short cycles, and therefore reduce the influence of short cycle to the effectives of iterative decoding. Sim- ulation results show that the new codes with less short cycles can perform better than the existing Euclidean geometry LDPC codes.
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