Construction of irregular structured LDPC codes with low encoding complexity for high-rate applications

This paper presents a method to construct irregular structured low-density parity-check (LDPC) codes based on choosing different identity matrices. The parity-check matrix of the proposed code can be easily generated with the flexible parameters such as code rate, block length or sparsity. The proposed code is well structured which can provide a low-complexity implementation. The encoder of the proposed code has linear encoding complexity making it suitable for hardware implementation. When iteratively decoded with the sum-product algorithm (SPA), the constructed irregular LDPC codes exhibit a very good performance especially for high rate codes.