Hostname: page-component-78c5997874-ndw9j Total loading time: 0 Render date: 2024-11-15T12:42:06.365Z Has data issue: false hasContentIssue false
  • English
  • Français

On (v, k, λ)-configurations with v=4pe

Published online by Cambridge University Press:  18 May 2009

R. L. McFarland
R. L. McFarland
Affiliation:
University of Glasgow, Glasgow G12 8QW
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 (v, k, λ)-configuration, also called a symmetric balanced incomplete block design, is an arrangement of v distinct objects called points or varieties into v subsets called lines or blocks such that each line contains exactly k points and each pair of distinct lines contains exactly λ points in common. To avoid certain trivial configurations, one assumes that 0<λ<k<v–1.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 15 , Issue 2 , September 1974 , pp. 180 - 183
Copyright
Copyright © Glasgow Mathematical Journal Trust 1974

References

REFERENCES

1.Hall, M. Jr, Combinatorial theory (Waltham, Massachusetts, Blaisdell, 1967).Google Scholar
2.Mann, H. B., Addition theorems (New York, Wiley, 1965).Google Scholar
3.Mann, H. B., Difference sets in elementary abelian groups, Illinois J. Math. 9 (1965), 212–219.CrossRefGoogle Scholar
4.Menon, P. K., On difference sets whose parameters satisfy a certain relation, Proc. Amer. Math. Soc. 13 (1962), 739–745.CrossRefGoogle Scholar