Stopping-Set Assisted Reinforced Belief Propagation for Decoding Short LDPC Codes

The low-density parity-check (LDPC) code is chosen to be a channel coding scheme for ultra-reliable and low-latency communications (URLLC) in 5G. However, short LDPC compromises the belief propagation (BP) decoder because of the stopping set (SS) in the decoding graph. We propose to perform different node operations according to the SS. A dynamic SS selection according to the received sequence is further applied. In the length 308 5G LDPC, our decoders outperform prior work, improving BP and collaborative BP at block error probability (BLER) of
$3 \times 10^{-5}$
by around 0.176 and 0.092 dB respectively, with almost the same number of iterations.