Construction of Low-Density Parity-Check Codes Based on Balanced Incomplete Block Designs
Bassem Ammar, B. Honary, Y. Kou, J. Xu, Shu Lin · IEEE Transactions on Information Theory · 2004
This correspondence presents a method for constructing structured regular low-density parity-check (LDPC) codes based on a special type of combinatoric designs, known as balance incomplete block designs. Codes constructed by this method have girths at least 6 and they perform well with iterative decoding. Furthermore, several classes of these codes are quasi-cyclic and hence their encoding can be implemented with simple feedback shift registers.