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On the Block Structure of Quartic Designs

Published online by Cambridge University Press:  20 November 2018

C. D. O'Shaughnessy
C. D. O'Shaughnessy*
Affiliation:
University of Saskatchewan, Saskatoon, Saskatchewan
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Raghavarao and Chandrasekhararao [3] introduced a family of PBIB designs having three associate classes known as cubic designs. In this paper a detailed analysis of the case of PBIB designs having four associate classes, which are called quartic designs, is given. Results are obtained pertaining to construction and existence of quartic designs. Moreover, using methods similar to those used by Shah [5], [6], [7], the block structure of certain quartic designs is studied.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 14 , Issue 3 , September 1971 , pp. 377 - 389
Copyright
Copyright © Canadian Mathematical Society 1971

References

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