Title :
Spatially-coupled MacKay-Neal codes with no bit nodes of degree two achieve the capacity of BEC
Author :
Okazaki, Tadatsugi ; Kasai, Keisuke
Author_Institution :
Dept. of Commun. & Comput. Eng., Tokyo Instn. of Technol., Tokyo, Japan
fDate :
June 29 2014-July 4 2014
Abstract :
Obata et al. proved that spatially-coupled (SC) MacKay-Neal (MN) codes achieve the capacity of BEC. However, the SC-MN codes have many variable nodes of degree two and have higher error floors. In this paper, we prove that SC-MN codes with no variable nodes of degree two achieve the capacity of BEC.
Keywords :
binary codes; channel capacity; channel coding; parity check codes; sparse matrices; BEC capacity; SC-MN codes; spatially coupled MacKay-Neal codes; variable nodes of degree; Couplings; Decoding; Manganese; Parity check codes; Polynomials; Vectors;
Conference_Titel :
Information Theory (ISIT), 2014 IEEE International Symposium on
Conference_Location :
Honolulu, HI
DOI :
10.1109/ISIT.2014.6874884
