RIS ID

7783

Publication Details

This article was originally published as Chaudhry, GR, Grieg, M and Seberry, J, On the (v,5,λ)-Family of Bhaskar Rao Designs, Journal of Statistical Planning and Inference, 106, 2002, 303-327.

Abstract

We establish that the necessary conditions for the existence of Bhaskar Rao designs of block size five are : i). λ(v - 1) ≡ 0 (mod 4) ii). λv(v - 1) ≡ 0 (mod 40) iii). 2|λ. We show these conditions are sufficient: for λ = 4 if v > 215, with 10 smaller possible exceptions and one definite exception at v = 5; for λ = 10 if v > 445, with 11 smaller possible exceptions, and one definite exception at v = 5; and for λ = 20, with the possible exception of v = 32; we also give a few results for other values of λ.

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