Generalized Bhaskar Rao Designs with Block Size 4 Signed over Elementary Abelian Groups

Abstract

de Launey and Seberry have looked at the existence of Generalized Bhaskar Rao designs with block size 4 signed over elementary Abelian groups and shown that the necessary conditions for the existence of a (v, 4, λ; EA(g)) GBRD are sufficient for λ > g with 70 possible exceptions. This article extends that work by reducing those possible exceptions to just a (9,4,18h; EA(9h)) GBRD, where gcd(6, h) = 1, and shows that for λ = g the necessary conditions are sufficient for v > 46.

Cite this paper

@inproceedings{Ge2011GeneralizedBR, title={Generalized Bhaskar Rao Designs with Block Size 4 Signed over Elementary Abelian Groups}, author={G. Ge and Malcolm Greig and Jennifer Seberry and Gennian Ge and Jennifer Seberryx}, year={2011} }