Reliability-based schedule for decoding low-density parity-check codes

A reliability-based message-passing schedule for iterative decoding of low-density parity-check codes is proposed. Simulation results for bit-flipping algorithms (with binary messages) show that reliability-based schedule can provide considerable improvement in performance and decoding speed over the so-called flooding (parallel) schedule as well as the existing graph-based schedules. The cost associated with this improvement is negligible and is equivalent to having a 2-bit representation for initial messages, instead of the standard 1-bit for hard-decision algorithms, only at the first iteration (all the exchanged messages are still binary).