On the Construction of QC-LDPC Codes Based on Integer Sequence With Low Error Floor
Xiongfei Tao, Xin Chen, Bifang Wang · IEEE Communications Letters · 2022
Quasi-cyclic low-density parity-check (QC-LDPC) codes have efficient hardware implementation and excellent correcting performance. However, the existence of trapping sets can affect the decoding performance. In this letter, a novel class of QC-LDPC codes based on integer sequence with column weight 3 and girth at least 8 is proposed. If the numbers in the sequence are different, the QC-LDPC codes free of elementary trapping sets (${a}$,${b}$) with${a} \leq10$and${b} \leq $3 can be constructed. The row weight of the parity check matrix can be arbitrary and we give a lower bound of the circulant permutation matrix (CPM) size. Simulation results show that the generated codes have good performance with low error floor over AWGN channels.