Hyperplane partitions and difference systems of sets

Authors:
Ryoh Fuji-Hara;Akihiro Munemasa;Vladimir D. Tonchev
Affiliations:
Graduate School of System and Information Engineering, University of Tsukuba, Tsukuba, Ibaraki, Japan;Graduate School of Information Sciences, Tohoku University, Sendai, Japan;Department of Mathematical Sciences, Michigan Technological University, Houghton, MI
Venue:
Journal of Combinatorial Theory Series A - Special issue in honor of Jacobus H. van Lint
Year:
2006

Citing 3
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Abstract

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.