International Workshop on High Mobility Wireless Communications (HMWC)
Construction of LDPC codes based on resolvable group divisible designs
Hengzhou Xu, Dan Feng, Cheng Sun, Baoming Bai
Abstract
In this paper, we present a method for constructing LDPC codes from resolvable group divisible designs (RGDDs). According to the incidence matrices (or their submatrices) of RGDDs, a class of regular LDPC codes can be constructed. Since the parity-check matrix of the resulting code satisfies the row-column constraint, the girth of the proposed codes is at least six. Furthermore, based on a resolvable group divisible design, we can obtain a sequence of LDPC codes with various lengths and rates, which perform well over the AWGN channel with iterative decoding and have low error floors.