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Overlarge sets of disjoint Steiner quadruple systems

✍ Scribed by Luc Teirlinck

Publisher: John Wiley and Sons
Year: 1999
Tongue: English
Weight: 152 KB
Volume: 7
Category: Article
ISSN: 1063-8539
DOI: 10.1002/(sici)1520-6610(1999)7:5<311::aid-jcd1>3.0.co;2-g

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✦ Synopsis

In this article, we construct overlarge sets of disjoint S(3, 4, 3 n -1) and overlarge sets of disjoint S(3, 4, 3 n + 1) for all n ≥ 2. Up to now, the only known infinite sequence of overlarge sets of disjoint S(3, 4, v) were the overlarge sets of disjoint S(3, 4, 2 n ) obtained from the oval conics of desarguesian projective planes of order 2 n .

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