Title :
Constructions of Difference Systems of Sets From Finite Projective Geometry
Author :
Fan, Cui-Ling ; Lei, Jian-Guo
Author_Institution :
Sch. of Sci., Nantong Univ., Nantong, China
Abstract :
Difference systems of sets (DSSs) are combinatorial structures introduced by Levenshtein in connection with code synchronization. In this paper, some recursive constructions of DSSs obtained from finite projective geometry are presented. As a consequence, new infinite families of optimal DSSs are obtained.
Keywords :
combinatorial mathematics; geometry; set theory; synchronisation; DSS; code synchronization; combinatorial structures; difference systems of sets; finite projective geometry; Decision support systems; Educational institutions; Geometry; Indexes; Redundancy; Spread spectrum communication; Synchronization; $f$-flat; Code synchronization; difference system of sets; finite projective space; optimal;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2011.2170921
