Hybrid construction of LDPC codes with (14, 8) Hamming code

A method for constructing LDPC codes is presented based on a (14, 8) extended Hamming code which is formed via column splitting of the (7, 4) Hamming code. With this code and hybrid construction, it is effortless to generate an LDPC code by mapping the (14, 8) extended Hamming code to components of the parity-check matrix of the LDPC code. Simulation results show that the capacity of hybrid construction of PEG code and the (14, 8) extended Hamming code with rate 0.9288 is only a difference of 2 dB around to the Shannon limit owing to the gorgeous property of the (14, 8) code with sum-product algorithm decoding.