Title :
Cyclic and quasi-cyclic LDPC codes: New developments
Author :
Huang, Qin ; Diao, Qiuju ; Lin, Shu ; Abdel-Ghaffar, Khaled
Author_Institution :
Dept. of Electr. & Comput. Eng., Univ. of California, Davis, CA, USA
Abstract :
This paper presents a technique to decompose a cyclic code given by a parity-check matrix in circulant form into descendant cyclic and quasi-cyclic codes of various length and rates. Based on this technique, cyclic finite geometry (FG) LDPC codes are decomposed into a large class of cyclic FG-LDPC codes and a large class of quasi-cyclic FG-LDPC codes.
Keywords :
cyclic codes; geometric codes; parity check codes; cyclic LDPC codes; cyclic finite geometry LDPC code; parity check matrix; quasicyclic LDPC code; Arrays; Decoding; Generators; Geometry; Null space; Parity check codes; Polynomials;
Conference_Titel :
Information Theory and Applications Workshop (ITA), 2011
Conference_Location :
La Jolla, CA
Print_ISBN :
978-1-4577-0360-7
DOI :
10.1109/ITA.2011.5743581