Hostname: page-component-745bb68f8f-cphqk Total loading time: 0 Render date: 2025-01-11T03:26:55.794Z Has data issue: false hasContentIssue false
  • English
  • Français

Construction of balanced incomplete block designs

Published online by Cambridge University Press:  09 April 2009

Elizabeth J. Morgan
Elizabeth J. Morgan
Affiliation:
Department of Mathematics, University of Queensland, St. Lucia, Q 4067, Australia.
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.

Given a symmetric balanced incomplete block design or a finite plane, we recursively construct balanced incomplete block designs by taking unions of certain blocks and points of the original design to be the blocks of the new design.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 23 , Issue 3 , May 1977 , pp. 348 - 353
Copyright
Copyright © Australian Mathematical Society 1977

References

Dembowski, P. (1964), ‘Mobiusebenen gerader Ordnung’, Math. Annalen 157, 179–205.CrossRefGoogle Scholar
Dembowski, P. (1968), Finite Geometries (Springer-Verlag, New York).CrossRefGoogle Scholar
Hall, M. (1967), Combinatorial Theory (Blaisdell, Waltham, Mass.).Google Scholar
Morgan, Elizabeth J. (1977), ‘Construction of balanced n-ary designs’. Utilitas Mathematica, 11, 3–31.Google Scholar