On the existence of incomplete transversal designs with block size five (Q1343251)
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scientific article; zbMATH DE number 716448
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the existence of incomplete transversal designs with block size five |
scientific article; zbMATH DE number 716448 |
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On the existence of incomplete transversal designs with block size five (English)
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1 February 1995
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The author considers incomplete transversal designs with block size five \(\text{TD} [5;v]- \text{TD} [5; n]\), i.e. transversal designs with one subdesign removed. He shows, by construction, that such a design exists iff \(v\geq 4n\) and \(n\geq 1\), with 108 possible exceptional pairs \((v,n)\) which are listed. This result improves previous ones.
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MOLS
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incomplete transversal designs
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block size
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0.9706682
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0.94772124
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0.90382457
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0.89313686
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0.88415104
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0.88151026
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