Title :
Quasi-perfect geometrically uniform codes derived from graphs over Gaussian integer rings
Author :
Quilles, Cátia ; Palazzo, Reginaldo, Jr.
Author_Institution :
Dept. de Telematica, Univ. Estadual de Campinas, São Paulo, Brazil
Abstract :
In this paper we present a generalization of the perfect codes derived from the quotient rings of Gaussian integers. We call this class of codes quasi-perfect, which in addition to preserving the property of being geometrically uniform codes they are able to correct more error patterns than the perfect codes.
Keywords :
Gaussian processes; error correction codes; geometric codes; Gaussian integer rings; error correcting codes; quasiperfect geometrically-uniform codes; Constellation diagram; Error correction codes; Error probability; Euclidean distance; Graph theory; Lattices; Quadrature amplitude modulation; Gaussian integer rings; geometrically uniform codes; quasi-perfect codes;
Conference_Titel :
Information Theory Proceedings (ISIT), 2010 IEEE International Symposium on
Conference_Location :
Austin, TX
Print_ISBN :
978-1-4244-7890-3
Electronic_ISBN :
978-1-4244-7891-0
DOI :
10.1109/ISIT.2010.5513673
