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A novel QC-LDPC code based on the finite field multiplicative group for optical communications

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Abstract

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.

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Authors and Affiliations

  1. Key Lab. of Optical Fiber Communication Technology, Chongqing University of Posts and Telecommunications, Chongqing, 400065, China

    Jian-guo Yuan  (袁建国), Liang Xu  (许亮) & Qing-zhen Tong  (仝青振)

Authors
  1. Jian-guo Yuan  (袁建国)
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  2. Liang Xu  (许亮)
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  3. Qing-zhen Tong  (仝青振)
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Corresponding author

Correspondence to Jian-guo Yuan  (袁建国).

Additional information

This work has been supported by the National Natural Science Foundation of China (Nos.61071117, 61275077 and 61003256), and the Natural Science Foundation of CQ CSTC (No.2010BB2409).

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Yuan, Jg., Xu, L. & Tong, Qz. A novel QC-LDPC code based on the finite field multiplicative group for optical communications. Optoelectron. Lett. 9, 378–380 (2013). https://doi.org/10.1007/s11801-013-3102-7

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  • DOI: https://doi.org/10.1007/s11801-013-3102-7

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