Hostname: page-component-7479d7b7d-rvbq7 Total loading time: 0 Render date: 2024-07-12T19:54:40.953Z Has data issue: false hasContentIssue false
  • English
  • Français

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.
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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