IEEE Transactions on Information Theory · 2004 · 102 citations · 19 references
EngineeringComputer EngineeringComputer ScienceDigital CommunicationInformation TheoryChannel CodingCoding TheoryErasure CodingError Control CodingError DetectionError-correcting CodesDecoding AlgorithmsDecoding ComplexityLdpc CodesLow-density Parity-check CodesMaximum-likelihood DecodingParity Check CodesParity-check Matrices
We propose an efficient maximum-likelihood (ML) decoding algorithm for decoding low-density parity-check (LDPC) codes over the binary-erasure channel (BEC). We also analyze the computational complexity of the proposed algorithm.
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Low-density parity-check codes
Robert G. Gallager · IEEE Transactions on Information Theory · 1962 · 10.6K citations · Full text
Gaussian elimination is not optimal
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Efficient erasure correcting codes
Michael Luby, Michael Mitzenmacher, Mohammad Amin Shokrollahi et al. · IEEE Transactions on Information Theory · 2001 · 1.2K citations · Full text