Construction methods for Bhaskar Rao and related designs
- 1 February 1987
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
- Vol. 42 (1) , 5-30
- https://doi.org/10.1017/s1446788700033929
Abstract
Mathématical and computational techniques are described for constructing and enumerating generalized Bhaskar Rao designs(GBRD's). In particular, these methods are applied toGBRD(k + 1, k, 1(k − 1); G)'sfor 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.Keywords
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