Balanced Incomplete Block Designs, Partial Geometries, and Their Associated QC-LDPC Codes

This paper presents two classes of partial geometries (PaGs) derived from balanced incomplete block designs (BIBDs) of a special type. Based on these two classes of partial geometries, quasi-cyclic (QC) LDPC codes can be constructed. These codes not only perform well over AWGN channels (AWGNCs) but also can correct bursts of erasures over binary erasure channels (BECs) effectively.