TITLE:
Low-Density Parity-Check Codes: Research Status and Development Direction
AUTHORS:
Jie Xu, Zhiyong Zheng, Kun Tian
KEYWORDS:
Low-Density Parity-Check (LDPC), Parity Check Matrix H, Quasi-Cyclic (QC) LDPC, Spatially Coupled Low-Density Parity-Check (SC-LDPC) Codes
JOURNAL NAME:
Journal of Information Security,
Vol.13 No.4,
September
23,
2022
ABSTRACT: 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.