US Patent 7143336 Decoding parallel concatenated parity-check code

A decoding system and method for decoding parallel concatenated parity-check code defines a parity check matrix (e.g., a sparse parity check matrix) for the parallel concatenated parity check code. One or more bipartite graph representations are determined based on the parity check matrix with each of the one or more bipartite graph representations including bit nodes and check nodes. At least one of the one or more bipartite graph representations is decoded using an iterative decoding process (e.g., using an algorithm based on belief propagation).