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Generalized Bhaskar Rao Designs With Block Size 4 Signed Over Elementary Abelian Groups , G. Ge, M. Greig, Jennifer Seberry
Generalized Bhaskar Rao Designs With Block Size 4 Signed Over Elementary Abelian Groups , G. Ge, M. Greig, Jennifer Seberry
Faculty of Informatics - Papers (Archive)
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.