Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:algebra
combinatorics |
| gptkbp:abbreviation |
SQS(n)
|
| gptkbp:application |
gptkb:geometry
coding theory design theory |
| gptkbp:block |
4
|
| gptkbp:category |
block design
incidence structure |
| gptkbp:definedIn |
A set system where every triple of elements is contained in exactly one block of size 4
|
| gptkbp:existsIn |
n ≡ 2 or 4 mod 6, n ≥ 8
|
| https://www.w3.org/2000/01/rdf-schema#label |
Steiner quadruple system
|
| gptkbp:minimumOrder |
8
|
| gptkbp:namedAfter |
gptkb:Jakob_Steiner
|
| gptkbp:notation |
S(3,4,n)
|
| gptkbp:property |
Every 3-element subset of the point set is contained in exactly one block
|
| gptkbp:relatedTo |
gptkb:Steiner_system
gptkb:Steiner_triple_system |
| gptkbp:studiedBy |
gptkb:Jakob_Steiner
|
| gptkbp:bfsParent |
gptkb:Steiner_system
|
| gptkbp:bfsLayer |
8
|