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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.
Keywords
Finite Field
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Additive White Gaussian Noise
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Forward Error Correction
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LDPC Code
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Cyclic Shift
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Jian-guo Yuan, Liang Xu, Qing-zhen Tong.
A novel QC-LDPC code based on the finite field multiplicative group for optical communications.
Optoelectronics Letters, 2013, 9(5): 378-380 DOI:10.1007/s11801-013-3102-7
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