Hostname: page-component-78c5997874-dh8gc Total loading time: 0 Render date: 2024-11-11T05:28:40.540Z Has data issue: false hasContentIssue false

A note on group divisible designs with mutually orthogonal resolutions

Published online by Cambridge University Press:  09 April 2009

E. R. Lamken
Affiliation:
School of MathematicsGeorgia Institute of Technology Atlanta, Georgia 30332, U.S.A.
S. A. Vanstone
Affiliation:
Department of Combinatorics and OptimizationUniversity of WaterlooWaterloo, Ontario N2L 3G1, Canada
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

In this note, we use a geometric construction to produce group divisible designs with mutually orhogonal resolutions.

MSC classification

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1988

References

[1]Gibbons, P. and Mathon, R., ‘Construction methods for Bhaskar Rao and related designs’, J. Austral. Math. Soc., to appear.Google Scholar
[2]Hughes, D. R. and Piper, F. C., Projective planes (Springer-Verlag, New York, Heidelberg, Berlin).Google Scholar
[3]Lamken, E. R. and Vanstone, S. A., ‘Designs with mutually orhogonal resolutons’, European J. Combin. 7 (1986), 249257.Google Scholar