IEEE Transactions on Information Theory - Part 1
Good error-correcting codes based on very sparse matrices
IEEE Transactions on Information Theory
Low-density parity-check codes based on finite geometries: a rediscovery and new results
IEEE Transactions on Information Theory
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In an earlier paper, bit flipping methods for decoding low-density parity-check (LDPC) codes on the binary symmetric channel were adapted for generalised LDPC (GLDPC) codes with Hamming sub-codes. We now employ the analysis of this weighted bit flipping method to develop a simple soft-input/soft-output decoder for Hamming codes based on a conventional hard decision decoder. Simulation results are presented for decoding of both product codes and GLDPCs on the AWGN channel using the proposed decoder. At higher rates the indications are that good performance is possible at very low decoding complexity.