Hybrid construction of LDPC codes of code length within 2,000 with (14, 8) extended Hamming code

Based on a (14, 8) extended Hamming code constructed via column splitting of the (7, 4) Hamming code, a method for constructing LDPC codes of code length within 2,000 and of column weight 3 is presented. By using the (14, 8) code and hybrid construction, it is effortless to generate an LDPC code with code rate generally higher than 0.9 by mapping the this code to component of the parity-check matrix. Simulation results show that compared with hybrid construction of Gallager codes and (14, 8) code, that of PEG codes and (14, 8) code performs better and the capacity of it is only a difference of 1.5 dB around to the Shannon limit with sum-product algorithm decoding.