journal article
oaidoi:10.1016/j.disc.2011.02.006

Support sizes of threefold quadruple systems

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Publication date
6 June 2011
Publisher
Elsevier B.V.
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    Abstract

    AbstractThe support of a quadruple system QSλ(v) is the set of distinct blocks in the design, and the support size is the number of distinct blocks. Let qv=v(v−1)(v−2)24 and tv=qv+5v3. In this paper we show that the set of support sizes of a threefold quadruple system QS3(v) with v≡2,4(mod6) elements can have any number from [qv+14,3qv]∪{qv,qv+8,qv+12} provided v≥38, a threefold quadruple system QS3(v) with v≡0(mod6) elements can have any number from [tv+14,3qv]∪{tv,tv+8,tv+12} provided v≥42

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