Abstract
It is proved that balanced 3-designs B3[k, λ, v] exist for k=5, λ=30 and every v ≥ 5.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
W.O. Alltop, "Some 3-designs and a 4-design", J. Comb. Th. Ser. A 11 (1971), 190–195.
M. Hall, Jr., Combinatorial Theory, Blaisdell, Waltham, Mass., 1967.
H. Hanani, "On some tactical configurations", Canadian J. Math. 15 (1963), 702–722.
H. Hanani, "Truncated finite planes", Combinatorics, Proc. Symp. in Pure Maths, A.M.S. XIX (1971), 115–120.
H. Hanani, "Balanced incomplete block designs and related designs", Discrete Math. 11 (1975), 255–369.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1978 Springer-Verlag
About this paper
Cite this paper
Hanani, H. (1978). A class of three-designs. In: Holton, D.A., Seberry, J. (eds) Combinatorial Mathematics. Lecture Notes in Mathematics, vol 686. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0062514
Download citation
DOI: https://doi.org/10.1007/BFb0062514
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-08953-7
Online ISBN: 978-3-540-35702-5
eBook Packages: Springer Book Archive
