Hyperplane partitions and difference systems of sets

Difference Systems of Sets (DSS) are combinatorial configurations that arise in connection with code synchronization. This paper gives new constructions of DSS obtained from partitions of hyperplanes in a finite projective space, as well as DSS obtained from balanced generalized weighing matrices and partitions of the complement of a hyperplane in a finite projective space. Research supported by NSF Grant CCR-0310632. 1 

• Type: Journal
• Year: 2006
• Where: JCT
• Authors: Ryoh Fuji-Hara, Akihiro Munemasa, Vladimir D. Tonchev
• Keywords: Combinatorial Configurations, Difference Systems, Finite Projective Space, JCT 2006