On the intersection of two S(3,4,2v) having a same derived triple system (Q912854)
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scientific article; zbMATH DE number 4145909
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the intersection of two S(3,4,2v) having a same derived triple system |
scientific article; zbMATH DE number 4145909 |
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On the intersection of two S(3,4,2v) having a same derived triple system (English)
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1990
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The spectrum of possible numbers of common blocks between two Steiner quadruple system of order v that share (at least) one derived Steiner triple systems is determined for all \(v\geq 28\), \(v\equiv 4,8\) (mod 12). The determination employs recursions based on the doubling construction and on the presence of subdesigns.
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intersection problem
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Steiner quadruple system
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Steiner triple systems
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