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Coexistence of some B.I.B. Designs

Published online by Cambridge University Press:  20 November 2018

K. N. Majindar
K. N. Majindar*
Affiliation:
Department of Mathematics, Concordia University (Loyola Compus), Montreal, Canada
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In this paper we have shown that the existence of some balanced incomplete block (b.i.b. for abbreviation) designs implies the existence of some others in some cases. We have here established the following theorems.

Theorem 1. If there exists a symmetric b.i.b. design with parametersv, b, r, k, λ, (where v-b, r=k), then there exists a b.i.b. design with parameters,

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 21 , Issue 1 , 01 March 1978 , pp. 73 - 77
Copyright
Copyright © Canadian Mathematical Society 1978

References

1. Vanstone, S. A. A note on a construction of b.i.b. d.'s Utilitas Mathematica, Vol. 7 (1975) pp. 321-322.Google Scholar
2. Das, M. N. and Kulshreshtha, A. C. On derivation of initial blocks with more than one initial block The Australian Journal of Statistics Vol. 10, No. 2, August 1968, pp. 75-82.Google Scholar