The impact when neural min-sum variants meet ordered statistics decoding of LDPC codes

The decoding performance of conventional belief propagation decoders is seriously confined by the existence of message dependence in the code structure for short or moderate LDPC codes. In spite of the similarity of the external performance, we found the corresponding decoding failures of varied decoders, symbolized by the cross-entropy metric, will leave differed room for improvement for the postprocessing of ordered statistical decoding. Bearing in mind the postprocessor of higher order ensures better performance and incurs more expensive complexity, we propose a dynamic assignment of searching scope with respect to each decoding pattern for the order statistical decoding. Furthermore, the segmentation of decoding patterns, determined on the fly by the number of swaps in reducing the code check matrix into its systematic form via Gaussian elimination operation. will also benefit reducing complexity. Compared with the existing methods, our adapted strategy is justified by saving most memory consumption and inefficient searching of code-word candidates in extensive simulation especially for longer codes, at the cost of marginal performance loss.