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An existence theorem for some simple t-designs

✍ Scribed by Michel Dehon

Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
314 KB
Volume
90
Category
Article
ISSN
0012-365X

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✦ Synopsis

Dehon, M., An existence theorem for some simple t-designs, Discrete Mathematics 90 (1991) 137-142.

Let S' be a simple S;(t, k, [) containing

b' blocks and let S be a, not necessarily simple, $(t, 1. u); we prove that if b"(A -1) < (:), then there exists a simple &,(t, k, v). We apply this result to prove the existence of a new infinite family of 5-designs derived from the Alltop's family of 5-designs.

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