Low-density parity-check codes with quantised messages on binary symmetric channel

This reported work concerns the design and evaluation of low-density parity-check codes over a binary symmetric channel in the presence of a fixed-point min-sum decoder. In this case, using a discretised density evolution method together with an elegant linear programming approach, the constraint on the number of quantisation levels is incorporated in the optimisation process to derive a proper LDPC code. Simulation results demonstrate that the proposed method outperforms existing codes addressed in the literature.