Smart Construct High Girth LDPC Codes Based on Permutation Groups

In the field of wireless communications, it is of great significance to structure LDPC codes (Low-density Parity-check codes) with large girth. We propose a method to construct high girth LDPC codes based on algebra permutation group of intelligent. Girth larger parity check matrix can be found in Gallager parity check matrix set using genetic algorithm based on permutation group in a relatively short period of time. Simulation results show that the algorithm is efficient, versatile, and consistent with the theoretical analysis.