Layered Construction of Quasi-Cyclic LDPC Codes
Xiongfei Tao, Yue Xin, Bifang Wang, Li Chang · IEEE Communications Letters · 2020
A layered construction of LDPC codes on 3-dimensional rectangular lattices is explored in this letter. By analyzing the governing conditions of in-layer polygons and inter-layer polygons, and elaborately selecting the slopes of in-layer and inter-layer lines, we remove all the 6-cycles as well as inter-layer 8-cycles which results in a class of LDPC codes without small trapping sets. We further remove the in-layer 8-cycles to design a class of LDPC codes with girth 10.