On a class of finite geometry low density parity check codes

A new class of geometry LDPC codes is presented which contains the class of Kou-Lin-Fossorier codes (see IEEE International Symposium on Information Theory, p.200, June 2000) as a subclass. If the code construction is based on Euclidean geometry (EG) and projective geometry (PG) over finite fields, we obtain four classes of LDPC codes, namely: (1) type-I EG-LDPC codes; (2) type-II EG-LDPC codes; (3) type-I PG-LDPC codes; and (4) type-II PG-LDPC codes.