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 …

In this paper we construct a class of LDPC codes with girth 10 based on 2-D lattices. The
parity check matrix is an incident matrix of lines and points in the lattices. By selection of …

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 …

Low density parity check (LDPC) codes have received much attention for their excellent
performance, and the inherent parallelism involved in decoding them. We consider a type of …

Low-density parity-check (LDPC) codes can have a good performance under iterative
decoding algorithms. This idea is used to construct a class of lattices with relatively high …

A new method is given to construct low-density parity check codes the graphs of which are of
designed girth. We give examples to illustrate the new method, and also present …

Low density parity check (LDPC) codes have stimulated a lot of interest in recent years due
to their capacity approaching performance and availability of fast decoding algorithms. The …

In this letter, construction of a class of (3, k) LDPC codes is presented. The proposed codes
are constructed in 2-D lattices; by selection of slope-sets in the lattices, general triangles and …

LDPC codes with iterative decoding based on belief propagation have been shown to
achieve astonishing error performance. But no algebraic or geometric method has been …

A new approach is proposed for constructing regular low-density parity-check (LDPC) codes
based on tensor product of matrices. In this paper, first a general construction method of …