基于改进2-DGRS码的QC-LDPC码高效构造

利用GRS(generalized reed-solomon)码的生成多项式提出了基于改进的2-D GRS(two-dimensional GRS)码设计和构造QC-LDPC(quasi-cyclic low density parity-check)码的方法,使所构造的码具有较好的译码性能。同时在码的构造过程中,考虑到了准双对角线结构和合适的度分布。不同码率的LDPC码用于和新设计的QC-LDPC码进行测试和比较。实验结果表明,所提出的码构造方法可加快LDPC码校验矩阵的构造,同时基于所提出方法构造的QC-LDPC码可提高译码性能,并降低编码复杂度。

Novel construction of QC-LDPC codes with modified 2-D GRS codes

The construction method for QC-LDPC (quasi-cyclic low density parity-check) code with modified two-dimensional generalized reed-solomon (2-D GRS) code is proposed using the generator polynomial of GRS code, so thus the constructed code can have better decoding performance. Meanwhile both the quasi dual-diagonal structure and proper weight distributions are considered during the construction. The QC-LDPC codes with different rates are used to compare with the new designed codes. Experimental results show that the proposed method can accelerate the construction and QC-LDPC codes constructed from the proposed method can have better decoding performance while with low encoding complexity.