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

G. Ge, Suzhou University, China
M. Greig, Greig Consulting, Vancouver, Canada
J. Seberry, University of Wollongong

Article comments

This article was originally published as Ge, G, Greig, M and Seberry, J, Generalized Bhaskar Rao Designs with Block Size 4 Signed over Elementary Abelian Groups, Journal of Combinatorial Mathematics and Combinatorial Computing, 46, 2003, 3-45.

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.