Hyperplane partitions and difference systems of sets

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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.

Keywords

Code synchronization
Difference set
Generalized balanced weighing matrix
Line spread
Projective space

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Research supported by NSF Grant CCR-0310632.