Low-density parity check codes over GF(q) |
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Authors: | Davey MC MacKay D |
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Affiliation: | Cavendish Lab., Cambridge Univ.; |
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Abstract: | Gallager's (1962) low-density binary parity check codes have been shown to have near-Shannon limit performance when decoded using a probabilistic decoding algorithm. We report the empirical results of error-correction using the analogous codes over GF(q) for q>2, with binary symmetric channels and binary Gaussian channels. We find a significant improvement over the performance of the binary codes, including a rate 1/4 code with bit error probability <10-5 at Eb/N0=0.2 dB |
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