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Construction methods for Bhaskar Rao and related designs

Part of: Designs and configurations

Published online by Cambridge University Press:  09 April 2009

Peter B. Gibbons  and
Rudolf Mathon
Peter B. Gibbons
Affiliation:
Department of Computer Science, University of Auckland, Auckland, New Zealand
Rudolf Mathon
Affiliation:
Department of Computer Science, University of Toronto, Toronto, Ontario, Canada, (M5S 1A4)
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Abstract

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Mathématical and computational techniques are described for constructing and enumerating generalized Bhaskar Rao designs (GBRD's). In particular, these methods are applied to GBRD(k + 1, k, 1(k − 1); G)'s for 1 ≥ 1. Properties of the enumerated designs, such as automorphism groups, resolutions and contracted designs are tabulated. Also described are applications to group divisible designs, multi-dimensional Howell cubes, generalized Room squares, equidistant permutation arrays, and doubly resolvable two-fold triple systems.

MSC classification

Secondary: 05B05: Block designs 05B15: Orthogonal arrays, Latin squares, Room squares 05B25: Finite geometries
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 42 , Issue 1 , February 1987 , pp. 5 - 30
Copyright
Copyright © Australian Mathematical Society 1987

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