Cyclically resolvable cyclic Steiner 2-systems S(2, 4, 52) (Q5935442)
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scientific article; zbMATH DE number 1610269
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Cyclically resolvable cyclic Steiner 2-systems S(2, 4, 52) |
scientific article; zbMATH DE number 1610269 |
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Cyclically resolvable cyclic Steiner 2-systems S(2, 4, 52) (English)
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28 January 2002
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cyclic Steiner 2-systems
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This paper deals with cyclically resolvable cyclic Steiner 2-systems \(\text{S}(2,4,52)\), \(\text{CRCS}(2,4,52)\) for short. All such systems have been enumerated, and following are the main results.NEWLINENEWLINENEWLINETheorem. There are exactly six non-isomorphically cyclically resolvable cyclic Steiner 2-systems \(\text{CRCS}(2,4,52)\).NEWLINENEWLINENEWLINETheorem. There are at least seven non-isomorphic resolvable Steiner 2-systems \(\text{S}(2,4,52)\) among which six are cyclically resolvable cyclic Steiner 2-systems, and one is a cyclically resolvable \(1\)-rotational Steiner \(2\)-system.
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