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A novel construction method of quasi-cyclic low-density parity-check(QC-LDPC) code is proposed based on the finite field multiplicative group,which has easier construction,more flexible code-length code-rate adjustment and lower encoding/decoding complexity.Moreover,a regular QC-LDPC(5334,4962) code is constructed.The simulation results show that the constructed QC-LDPC(5334,4962) code can gain better error correction performance under the condition of the additive white Gaussian noise(AWGN) channel with iterative decoding sum-product algorithm(SPA).At the bit error rate(BER) of 10-6,the net coding gain(NCG) of the constructed QC-LDPC(5334,4962) code is 1.8 dB,0.9 dB and 0.2 dB more than that of the classic RS(255,239) code in ITU-T G.975,the LDPC(32640,30592) code in ITU-T G.975.1 and the SCG-LDPC(3969,3720) code constructed by the random method,respectively.So it is more suitable for optical communication systems.
A novel construction method of quasi-cyclic low-density parity-check (QC-LDPC) code is proposed based on the finite field multiplicative group, which has easier construction, more flexible code-length code-rate adjustment and lower encoding / decoding complexity .Moreover, a regular QC-LDPC (5334, 4962) code is constructed. The simulation results show that the constructed QC-LDPC (5334, 4962) code can gain better error correction performance under the condition of the additive white Gaussian noise (AWGN ) the bit error rate (BER) of 10-6, the net coding gain (NCG) of the constructed QC-LDPC (5334, 4962) code is 1.8 dB, 0.9 dB and 0.2 dB more than that of the classic RS (255,239) code in ITU-T G.975, the LDPC (32640,30592) code in ITU-T G.975.1 and the SCG-LDPC (3969,3720) code constructed by the random method, respectively. So it is more suitable for optical communication systems.