Belief-propagation with information correction: improved near maximum-likelihood decoding of low-density parity-check codes

We propose an improved belief-propagation (BP) decoder for low-density parity-check (LDPC) codes based on channel information correction. We show that our algorithm achieves sizeable performance gains (in waterfall and error floor regions) compared to the standard BP decoder. We verify by examples that the proposed decoder almost achieves the maximum-likelihood decoding performance for short LDPC codes