On block-schematic Steiner systems \(S(t,t+2,v)\) and \(S(t,t+3,v)\) (Q752719)
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scientific article; zbMATH DE number 4179384
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On block-schematic Steiner systems \(S(t,t+2,v)\) and \(S(t,t+3,v)\) |
scientific article; zbMATH DE number 4179384 |
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On block-schematic Steiner systems \(S(t,t+2,v)\) and \(S(t,t+3,v)\) (English)
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1990
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A Steiner system is called block-schematic if the blocks form an association scheme with the relations determined by size of intersection. The following two theorems are proved in the paper: 1. A Steiner system \(S(t,t+2,v)\) is blocks schematic iff \(t=2\) 2. A Steiner system \(S(t,t+3,v)\) is block-schematic iff \(t=2\) or \((t,v)=(3,22)\), (4,23) or (5,24).
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Steiner system
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block-schematic
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association scheme
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0.9263261556625366
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0.8064373135566711
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