We propose a class of moderate-length nonbinary low-density parity-check (LDPC) codes for long-haul high-speed optical transmission systems. In particular, we present an LDPC code with 12.59% redundancy that achieves a 9.9-dB coding gain at a bit-error rate of 10/sup -10/. A similar coding gain is obtained for a long nonbinary LDPC code with a redundancy of only 6.7%.
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Djordjević et al. (2005) studied this question.
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