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A new infinite class of S(3, {4, 5, 7}, v)

✍ Scribed by Lijun Ji; Shaopu Zhang

Publisher
John Wiley and Sons
Year
2011
Tongue
English
Weight
146 KB
Volume
20
Category
Article
ISSN
1063-8539

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✦ Synopsis

Abstract

A t‐wise balanced design (a__t__BD) of order v and block sizes from K, denoted by S(t, K, v), is a pair (X, ℬ︁), where X is a v‐element set and ℬ︁ is a set of subsets of X, called blocks, with the property that |B|∈K for any Bβˆˆβ„¬οΈ and every t‐element subset of X is contained in a unique block. In this article, we shall show that there is an S(3, {4, 5, 7}, v) for any positive integer v≑7(mod12) with vβ‰ 19. Copyright Β© 2011 Wiley Periodicals, Inc. J Combin Designs 20:68–80, 2012

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