Low-Computational Algorithm for Check Node Processing in Non-Binary LDPC Decoders

This paper presents a low-computational algorithm for the check node processing of non-binary low-density parity-check (NB-LPDC) decoders, the base algorithm that we use is the extended min-sum (EMS) algorithm, which has been widely studied in the recent literature, and has been shown to approach the performance of the belief propagation algorithm, with limited complexity. This algorithm, named novel bubble check, can reduce greatly the number of bubbles to be compared, this significant computational reduction is achieved without any performance loss. This algorithm is particularly suitable for NB-LPDC decoders in super-high order fields, which have superior performance in the presence of burst errors.