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.
On complete arcs in Steiner systems S(2, 3, v) and S(2, 4, v)
โ Scribed by Marialuisa J. de Resmini
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 594 KB
- Volume
- 77
- Category
- Article
- ISSN
- 0012-365X
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๐ SIMILAR VOLUMES
## Abstract Generalized Steiner systems GS(2, __k__, __v__, __g__) were first introduced by Etzion and used to construct optimal constant weight codes over an alphabet of size __g__โ+โ1 with minimum Hamming distance 2__k__โโโ3, in which each codeword has length __v__ and weight __k__. As to the exi
Generalized Steiner systems GS d tY kY vY g were ยฎrst introduced by Etzion and used to construct optimal constant-weight codes over an alphabet of size g 1 with minimum Hamming distance d, in which each codeword has length v and weight k. Much work has been done for the existence of generalized Stei