Abstract
A novel construction method of quasi-cyclic low-density parity-check (QC-LDPC) codes is proposed based on Chinese remainder theory (CRT). The method can not only increase the code length without reducing the girth, but also greatly enhance the code rate, so it is easy to construct a high-rate code. The simulation results show that at the bit error rate (BER) of 10−7, the net coding gain (NCG) of the regular QC-LDPC(4 851, 4 546) code is respectively 2.06 dB, 1.36 dB, 0.53 dB and 0.31 dB more than those of the classic RS(255, 239) code in ITU-T G.975, the LDPC(32 640, 30 592) code in ITU-T G.975.1, the QC-LDPC(3 664, 3 436) code constructed by the improved combining construction method based on CRT and the irregular QC-LDPC(3 843, 3 603) code constructed by the construction method based on the Galois field (GF(q)) multiplicative group. Furthermore, all these five codes have the same code rate of 0.937. Therefore, the regular QC-LDPC(4 851, 4 546) code constructed by the proposed construction method has excellent error-correction performance, and can be more suitable for optical transmission systems.
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This work has been supported by the National Natural Science Foundation of China (Nos.61472464 and 61471075), the Program for Innovation Team Building at Institutions of Higher Education in Chongqing (No.J2013-46), the Natural Science Foundation of Chongqing Science and Technology Commission (Nos.cstc2015jcyjA0554 and cstc2013jcyjA40017), and the Program for Postgraduate Science Research and Innovation of Chongqing University of Posts and Telecommunications (Chongqing Municipal Education Commission) (No.CYS14144).
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Yuan, Jg., Liang, Mq., Wang, Y. et al. A novel construction method of QC-LDPC codes based on CRT for optical communications. Optoelectron. Lett. 12, 208–211 (2016). https://doi.org/10.1007/s11801-016-5238-8
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DOI: https://doi.org/10.1007/s11801-016-5238-8