Qian Wang

Girth Characterization of (3,29)-Regular Bipartite Graphs and Their Associated LDPC Codes

This paper studies a family of (3,29)-regular bipartite graphs introduced by Tanner for low-density parity-check (LDPC) codes. For a prime p≡1(mod87), the graph has 3p left vertices and 29p right vertices. In the associated LDPC code, the right vertices (there are 29p of them, ea...

Construction of Multi-Rate QC-LDPC Codes Based on Permutation Method

This paper proposes a systematic permutation-based construction method for multi-rate quasi-cyclic low-density parity-check (QC-LDPC) codes. We first present a graph-theoretic framework in which any regular QC-LDPC code can be normalized to a canonical base matrix that is uniquel...