On large sets of disjoint Steiner triple systems. IV (Q797587)
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scientific article; zbMATH DE number 3867343
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On large sets of disjoint Steiner triple systems. IV |
scientific article; zbMATH DE number 3867343 |
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On large sets of disjoint Steiner triple systems. IV (English)
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1984
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The following two theorems are proved: 1. If \(D(1+4n)=4n-1,\) n is a positive integer and \(p\in \{1,2,5\}\), then \(D(1+12pn)=12pn-1;\) 2. If \(D(1+12n)=12n-1,\) n is an odd number and \(p\in \{7,11\}\), then \(D(1+12pn)=12pn-1;\) where D(v) denotes the maximum numbers of pairwise disjoint Steiner triple systems of order v.
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pairwise disjoint Steiner triple systems
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