Name
Abstract | ||
|---|---|---|
The Steiner quadruple systems of order 16 are classified up to isomoiphism by means of an exhaustive computer search. The number of isomorphism classes of such designs is 1,054,163. Properties of the designs--including the orders of the automorphism groups and the structures of the derived Steiner triple systems of order 15--are tabulated. A consistency check based on double counting is carried out to gain confidence in the correctness of the classification. |
Year | DOI | Venue |
|---|---|---|
2006 | 10.1016/j.jcta.2006.03.017 | J. Comb. Theory, Ser. A |
Keywords | Field | DocType |
isomorphism class,derived design,exhaustive computer search,steiner system,order 15,sqs,automorphism group,steiner triple system,classification,steiner quadruple system,double counting | Discrete mathematics,Monad (category theory),Combinatorics,Double counting (accounting),Steiner tree problem,Automorphism,Correctness,Isomorphism,Computer search,Mathematics,Steiner system | Journal |
Volume | Issue | ISSN |
113 | 8 | Journal of Combinatorial Theory, Series A |
Citations | PageRank | References |
13 | 1.24 | 6 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Petteri Kaski | 1 | 912 | 66.03 |
| Patric R. J. Östergård | 2 | 609 | 70.61 |
| Olli Pottonen | 3 | 86 | 8.99 |