Algebraic Constructions of Nonbinary Quasi-Cyclic LDPC Codes
Shumei Song, Lingqi Zeng, Shu Lin, Khaled Abdel-Ghaffar · 2006
This paper presents three algebraic methods for constructing nonbinary quasi-cyclic (QC)-LDPC codes. Three classes of efficiently encodable QC-LDPC codes over nonbinary finite fields are constructed. Experimental results show that constructed codes decoded with iterative decoding perform well over the AWGN channel and they achieve significant coding gains over Reed-Solomon (RS) codes of the same lengths and rates decoded with algebraic decoding