Title

Hyperplane partitions and difference systems of sets☆

Authors

Ryoh Fuji-Hara, University of Tsukuba
Akihiro Munemasa, Tohoku University
Vladimir Tonchev, Michigan Technological UniversityFollow

Document Type

Article

Publication Date

11-2006

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.

Publisher's Statement

Copyright © 2006 Elsevier Inc. All rights reserved. Publisher’s version of record: https://doi.org/10.1016/j.jcta.2006.03.014

Publication Title

Journal of Combinatorial Theory, Series A

Recommended Citation

Fuji-Hara, R., Munemasa, A., & Tonchev, V. (2006). Hyperplane partitions and difference systems of sets☆. Journal of Combinatorial Theory, Series A, 113(8), 1689-1698. http://doi.org/10.1016/j.jcta.2006.03.014
Retrieved from: https://digitalcommons.mtu.edu/math-fp/116