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A note on BIBD's

Published online by Cambridge University Press:  09 April 2009

Jennifer Wallis
Jennifer Wallis
Affiliation:
Institute of Advanced StudiesAustralian National University Canberra, A.C.T.
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A balanced incomplete block design or BIBD is defined as an arrangement of v objects in b blocks containing k objects all different, so that there are r blocks containing a given object and λ blocks containing any two given objects.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 16 , Issue 3 , November 1973 , pp. 257 - 261
Copyright
Copyright © Australian Mathematical Society 1973

References

[1]Bose, R. C., ‘On the construction of balanced incomplete block designs’, Ann. Eugenics, 9 (1939), 353–399.Google Scholar
[2]Sprott, D. A., ‘A note on balanced incomplete block designs’, Can. J. Math., 6 (1965), 341–346.Google Scholar
[3]Sprott, D. A., ‘Some series of balanced incomplete block designs’, Sankhya, Ser. A, 17 (1956), 185–192.Google Scholar
[4]Nemeth, E., ‘A new family of BIBD'S’, Ann. Math. Stat., 42 (1971), 1118–1120.Google Scholar
[5]Wallis, Jennifer, ‘On supplementary difference sets’,Aeq. Math. 8 (1972), 242–257.Google Scholar