On the (15,5,\(\lambda\) )-family of BIBDs (Q1824622)
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scientific article; zbMATH DE number 4118379
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the (15,5,\(\lambda\) )-family of BIBDs |
scientific article; zbMATH DE number 4118379 |
Statements
On the (15,5,\(\lambda\) )-family of BIBDs (English)
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1989
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The authors enumerate completely the 1-rotational (15,5,4)-BIBDs and two subclasses of cyclic, and 1-rotational (15,5,6)-designs, respectively, as well as the resolvable (15,5,6)-BIBDs with an automorphism of order 5. The lower bounds for the number of nonisomorphic designs are substantially improved.
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(15,5,lambda)-balanced incomplete block designs
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BIBDs
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lower bounds
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number of nonisomorphic designs
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0.8245815
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0.8165497
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0.8134374
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0.8129096
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0.81016505
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0.8050388
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0.8034687
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