Construction methods for Bhaskar Rao and related designs

Abstract

Abstract 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.