Title :
On superimposed codes based on incidence systems
Author :
Macula, Antony J. ; Vilenkin, P.A.
Author_Institution :
Dept. of Math., State Univ. of New York, Geneseo, NY, USA
Abstract :
Binary superimposed codes were introduced by W.H. Kauts and R.C. Singleton in 1964. In 1989 A.D. D´yachkov et al. suggested concept of superimposed code distance. In 1996 a new construction based on the incidence of the finite sets was suggested by A.J. Macula. It was studied and generalized in 1998 by P.A. Vilenkin. We consider the further extension of this construction, which allows to create new superimposed codes from the existing ones. We also find the superimposed distance for this construction
Keywords :
binary codes; set theory; binary superimposed codes; finite sets incidence; incidence systems; superimposed code distance; Bismuth; Educational institutions; Mathematics;
Conference_Titel :
Information Theory, 2000. Proceedings. IEEE International Symposium on
Conference_Location :
Sorrento
Print_ISBN :
0-7803-5857-0
DOI :
10.1109/ISIT.2000.866293
