Construction methods for Bhaskar Rao and related designs

Author:

Gibbons Peter B.,Mathon Rudolf

Abstract

AbstractMathématical 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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics,Statistics and Probability

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