Title :
Algebraic Constructions of Nonbinary Quasi-Cyclic LDPC Codes
Author :
Song, Shumei ; Zeng, Lingqi ; Lin, Shu ; Abdel-Ghaffar, Khaled
Author_Institution :
Dept. of Electr. & Comput. Eng., California Univ., Davis, CA
Abstract :
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
Keywords :
AWGN channels; Reed-Solomon codes; algebraic codes; channel coding; iterative decoding; parity check codes; AWGN channel; Reed-Solomon codes; algebraic constructions; algebraic decoding; iterative decoding perform; nonbinary finite fields; nonbinary quasi-cyclic LDPC codes; AWGN channels; Binary codes; Galois fields; Iterative decoding; Null space; Parity check codes; Performance gain; Quantum cascade lasers; Reed-Solomon codes; Sum product algorithm;
Conference_Titel :
Information Theory, 2006 IEEE International Symposium on
Conference_Location :
Seattle, WA
Print_ISBN :
1-4244-0505-X
Electronic_ISBN :
1-4244-0504-1
DOI :
10.1109/ISIT.2006.261679
