Research on a novel construction method of full rank QC-LDPC codes for optical communication systems

A novel constructionmethod of full rank quasi-cyclic low-density parity-check (QC-LDPC) codes is proposed based on base matrices and masking matrices for efficient use of low-density parity-check (LDPC) codes in optical communication systems with the systems' characteristics. First, a base matrix based on which circulant permutation matrices and parity-check matrices with girth at least eight are extended out is defined. Then, the parity-check matrices are transformed using the masking matrices which are designed by the proposed theorem. Finally, full rank QC-LDPC codes with girth at least eight are constructed. Compared with different construction schemes in theory analysis and bit error rate performance, results indicate that the proposed LDPC codes are full rank with strict quasi-cyclic feature and excellent error correction capability. The construction method is flexible. As a result, the proposed QC-LDPC codes are suitable for the optical communication systems. © 2015, Science Press. All right reserved.