Refined Reliability Combining for Binary Message Passing Decoding of Product Codes

We propose a novel soft-aided iterative decoding algorithm for product codes (PCs). The proposed algorithm, named bounded distance with combined reliability (iBDD-CR), enhances the conventional (iBDD) of PCs by exploiting some level soft information. In particular, iBDD-CR can be seen as modification iBDD where hard decisions row and column decoders are made based on estimate BDD outputs. estimates derived using extrinsic message passing generalized low-density-parity check (GLDPC) ensembles, which encompass PCs. perform density evolution analysis transmission over additive white Gaussian noise channel GLDPC ensemble. consider both binary bit-interleaved coded modulation quadrature amplitude modulation.We show that achieves performance gains up to $0.51$ dB compared same internal decoder data flow. This makes an attractive solution very high-throughput applications such fiber-optic communications.