Construction of Girth 8 LDPC Codes based on Finite Lattice Geometries

J. Craddock, Mark F. Flanagan, A.D. Fagan

This paper presents a novel method for constructing low density parity check (LDPC) codes with a girth of up to 8. These codes are based on the structural properties of finite lattice geometries. Results are presented which show that these codes perform well over AWGN channels with iterative decoding. These codes also have several implementation advantages, which are presented.

Valentina Pepe

Mohammad Gholami, Zahra Gholami

John Craddock, Mark F. Flanagan, Stephen James Redmond +1 more

This paper presents a novel method for constructing low density parity check (LDPC) codes with a girth of up to 8. These codes are based on the structural properties of finite lattices. Results are presented which show that these codes perform well over AWGN channels with iterative decoding.

Zhirong Wang, Liqian Wang, Dongdong Wang +5 more

We proposed a method which combines finite geometries and optimized searching algorithm to construct quasi-cyclic low-density parity check (QC-LDPC) codes which have large girth for high speed optical communications. Compared with other method, our algorithm has lower complexity and faster speed.

W.E. Ryan, Shu Lin