In the parallelization for high-throughput applications, the number of independent memory access usually dominates the coding throughput. Moreover, a class of large-girth low-density parity check (LDPC) codes usually has difficulties to realize the parallelization in the decoder. To cope with these obstacles, we propose an efficient code construction to take the number of required parallel decoding unit and the large-girth constraint into considerations at once. First, the parity check matrix would be split into the block-wise structure to fit the parallelization in the decoder. Second, the conversion of the cycle-checking inequalities can transform the girth issue into a linear system. Finally, based on the decomposition of the polyhedral set, the Smith normal form can efficiently solve inequalities of the proposed system. Simulation results show that the proposed code construction can satisfy the requirements of parallelization and high-performance coding with girth g = 12.
['Tsung-Che Wu', 'Chang-Ming Lee', 'Cheng-Kuei Wang']
Construction of parallelized-decoding LDPC codes