Low-Density Parity-Check Codes: Research Status and Development Direction  

作　　者：Jie Xu Zhiyong Zheng Kun Tian Jie Xu;Zhiyong Zheng;Kun Tian(Engineering Research Center of Ministry of Education for Financial Computing and Digital Engineering, Renmin University of China, Beijing, China)

机构地区：[1]Engineering Research Center of Ministry of Education for Financial Computing and Digital Engineering, Renmin University of China, Beijing, China

出　　处：《Journal of Information Security》2022年第4期257-271,共15页信息安全（英文）

摘　　要：In this paper, we conclude five kinds of methods for construction of the regular low-density parity matrix H and three kinds of methods for the construction of irregular low-density parity-check matrix H. Through the analysis of the code rate and parameters of these eight kinds of structures, we find that the construction of low-density parity-check matrix tends to be more flexible and the parameter variability is enhanced. We propose that the current development cost should be lower with the progress of electronic technology and we need research on more practical Low-Density Parity-Check Codes (LDPC). Combined with the application of the quantum distribution key, we urgently need to explore the research direction of relevant theories and technologies of LDPC codes in other fields of quantum information in the future.In this paper, we conclude five kinds of methods for construction of the regular low-density parity matrix H and three kinds of methods for the construction of irregular low-density parity-check matrix H. Through the analysis of the code rate and parameters of these eight kinds of structures, we find that the construction of low-density parity-check matrix tends to be more flexible and the parameter variability is enhanced. We propose that the current development cost should be lower with the progress of electronic technology and we need research on more practical Low-Density Parity-Check Codes (LDPC). Combined with the application of the quantum distribution key, we urgently need to explore the research direction of relevant theories and technologies of LDPC codes in other fields of quantum information in the future.

关 键 词：Low-Density Parity-Check (LDPC) Parity Check Matrix H Quasi-Cyclic (QC) LDPC Spatially Coupled Low-Density Parity-Check (SC-LDPC) Codes 

分 类 号：TN9[电子电信—信息与通信工程]