The elementary Abelian Steiner systems S(2, 4, 49)
โ Scribed by Harald Gropp
- Book ID
- 118319648
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 201 KB
- Volume
- 64
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
๐ 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.
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+
## 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).