A geometric construction of the Steiner system S(4, 7, 23)
β Scribed by Alphonse Baartmans; Walter Wallis; Joseph Yucas
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 693 KB
- Volume
- 102
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
β¦ Synopsis
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).
π SIMILAR VOLUMES
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.
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