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The elementary Abelian Steiner systems S(2, 4, 49)

โœ Scribed by Harald Gropp


Book ID
118319648
Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
201 KB
Volume
64
Category
Article
ISSN
0012-365X

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๐Ÿ“œ SIMILAR VOLUMES


The complete classification of Steiner s
โœ Edward Spence ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 341 KB ๐Ÿ‘ 1 views

We describe an algorithm that was used to classify completely all Steiner systems S(2,4,25). The result is that in addition to the 16 nonisomorphic designs with nontrivial automorphism group already known, there are precisely two such nonisomorphic designs with a trivial automorphism group.

About special classes of Steiner systems
โœ H. Zeitler ๐Ÿ“‚ Article ๐Ÿ“… 1991 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 480 KB

Zeitler, H., About special classes of Steiner systems S(2, 4, u), Discrete Mathematics 97 (1991) 399-407. Parallel classes in S(2, 4, v) are investigated for odd Steiner numbers. It is proved that there exist systems S(2, 4, u) with at least one parallel class: (1) for all u = 61 or 49 + 48n, n E f+

A geometric construction of the Steiner
โœ Alphonse Baartmans; Walter Wallis; Joseph Yucas ๐Ÿ“‚ Article ๐Ÿ“… 1992 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 693 KB

## Baartmans, A., W. Wallis and J. Yucas, A geometric construction of the Steiner system S(4, 7, 23), Discrete Mathematics 102 (1992) 177-186. The Steiner system S(4,7,23) is constructed from the geometry of PG(3,2).