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Hyperplane partitions and difference systems of sets |
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| Authors: | Ryoh Fuji-Hara Vladimir D. Tonchev |
| Affiliation: | a Graduate School of System and Information Engineering, University of Tsukuba, Tsukuba, Ibaraki 305-8573, Japan b Graduate School of Information Sciences, Tohoku University, Sendai 980-8579, Japan c Department of Mathematical Sciences, Michigan Technological University, Houghton, MI 49931, USA |
| 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. |
| Keywords: | Code synchronization Difference set Generalized balanced weighing matrix Line spread Projective space |
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