LDPC codes based on hamming and BIBD codes

A hybrid construction for LDPC codes based on (14, 8) extended Hamming code and (7, 7, 3, 3, 1) BIBD is proposed. The two short codes are used as components in the parity-check matrix of LDPC codes due to elegant decoding performance and structure properties. The new construction algorithm results in LDPC codes with high code rate, and graceful performance using sum-product algorithm (SPA). Experimental results show that hybrid codes constructed with progressive edge-growth (PEG) algorithm and (14, 8) extended Hamming code or (7, 7, 3, 3, 1) BIBD perform well. Code with PEG algorithm and (7, 7, 3, 3, 1) BIBD is 2 dB away from Shannon limit in AWGN channel.