Title :
On integer codes capable of correcting single errors in two-dimensional lattices
Author :
Morita, Hiroyoshi ; Geyser, Albert ; Van Wijngaarden, Adriaan J.
Author_Institution :
Grad. Sch. of Inform. Syst., Univ. of Electro-Commun., Tokyo, Japan
fDate :
29 June-4 July 2003
Abstract :
A special class of linear codes, capable of correcting single errors in a two-dimensional lattice, is introduced. The codes, termed integer codes, are defined over integer rings and are capable of correcting single errors in a lattice with Manhattan distance 1. Three constructions are presented that specify perfect and optimal integer codes for a wide range of parameters, and the corresponding coding algorithms are given.
Keywords :
binary sequences; error correction codes; lattice theory; linear codes; Manhattan distance; binary sequences; coding algorithms; integer rings; linear codes; optimal integer codes; single error correction; two-dimensional lattices; Africa; Binary sequences; Communication channels; Error correction codes; Lattices; Linear code;
Conference_Titel :
Information Theory, 2003. Proceedings. IEEE International Symposium on
Print_ISBN :
0-7803-7728-1
DOI :
10.1109/ISIT.2003.1228030
