A novel construction method of QC-LDPC codes for optical com munications based on the BIBD and circulant decomposition
Yuan Jiangu · Journal of Optoelectronics·laser · 2013
In order to meet the requirements of the high bit-rate and the lower bit error-rate of the errorcorrection code in optical communication systems,based on the balanced incomplete block design(BIBD) and the circulant decomposition in this paper,a novel construction method of quasi-cyclic low-density parity-check(QC-LDPC)codes with the advantage of the simple implementation is proposed.A regular BIBDdes-QC-LDPC(6736,6316)code suitable for optical communication systems is constructed by applying the proposed method.The simulation results show that at the bit error rate(BER)of 10-6 and the same code rate of 93.7%,the net coding gain(NCG)of the constructed BIBDdes-QC-LDPC(6736,6316)code is 2.2dB more than that of the classic RS(255,239)code which has been widely used in optical communication systems,and 0.2dB more than that of the BIBD-QC-LDPC(6736,6315)code with the same code length and the same code-rate constructed only by the BIBD method and that of the irregular QC-LDPC(3843,3603)code with the same code-rate based on Galois field multiplicative group.Therefore,the novel BIBDdes-QC-LDPC(6736,6316)code has superior error-correction performance and is more suitable for the high-speed long-haul optical communication systems.And the novel construction method still has the advantage of the BIBD method which can flexibly adjust the code length and code rate.