A novel structure of high rate (3,L) regular QC-LDPC codes for magnetic recording channels

The novel structure of high rate (3,L) regular QC-LDPC codes based on circulant permutation matrices are presented in this paper. The parity-check matrix of the proposed code consists of permutation matrices, their transpose matrices and identity matrices. With this new method, the proposed code is free from girth 4, girth 6, and sometimes girth 8. The construction of parity-check matrix of the proposed codes easily is obtained comparing to those of previously found (3,L) regular QC-LDPC codes. Simulation results on magnetic recording channels show that the BER performance of the proposed codes is very closed to that of other (3,L) regular QC-LDPC codes.