Steiner system
E1487993
UNEXPLORED
A Steiner system is a highly regular combinatorial design in which a finite set of points is arranged into subsets (blocks) so that every smaller subset of points is contained in exactly one block.
All labels observed (3)
| Label | Occurrences |
|---|---|
| Steiner system canonical | 2 |
| Steiner system S(5,8,24) | 2 |
| Steiner systems S(t,k,v) | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T21494588 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Steiner system Context triple: [Steiner tree problem, relatedTo, Steiner system]
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A.
Bose construction of Steiner systems
The Bose construction of Steiner systems is a combinatorial method introduced by mathematician Raj Chandra Bose to systematically build certain highly regular block designs known as Steiner systems.
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B.
Goethals–Seidel construction
The Goethals–Seidel construction is a classical combinatorial method for building large Hadamard matrices from smaller ones using structured block and circulant matrix arrangements.
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C.
Bose–Bush construction of orthogonal arrays
The Bose–Bush construction of orthogonal arrays is a foundational combinatorial method that systematically builds highly structured experimental designs and error-correcting codes with strong balance and symmetry properties.
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D.
Sylvester construction
The Sylvester construction is a recursive method for generating larger Hadamard matrices from smaller ones, starting from a 2×2 base matrix.
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E.
Szekeres configuration
The Szekeres configuration is a notable geometric arrangement in projective geometry consisting of points and lines with specific incidence properties, studied for its combinatorial and symmetry characteristics.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Steiner system Target entity description: A Steiner system is a highly regular combinatorial design in which a finite set of points is arranged into subsets (blocks) so that every smaller subset of points is contained in exactly one block.
-
A.
Bose construction of Steiner systems
The Bose construction of Steiner systems is a combinatorial method introduced by mathematician Raj Chandra Bose to systematically build certain highly regular block designs known as Steiner systems.
-
B.
Goethals–Seidel construction
The Goethals–Seidel construction is a classical combinatorial method for building large Hadamard matrices from smaller ones using structured block and circulant matrix arrangements.
-
C.
Bose–Bush construction of orthogonal arrays
The Bose–Bush construction of orthogonal arrays is a foundational combinatorial method that systematically builds highly structured experimental designs and error-correcting codes with strong balance and symmetry properties.
-
D.
Sylvester construction
The Sylvester construction is a recursive method for generating larger Hadamard matrices from smaller ones, starting from a 2×2 base matrix.
-
E.
Szekeres configuration
The Szekeres configuration is a notable geometric arrangement in projective geometry consisting of points and lines with specific incidence properties, studied for its combinatorial and symmetry characteristics.
- F. None of above. chosen
Referenced by (5)
Full triples — surface form annotated when it differs from this entity's canonical label.
linked to: Steiner system
subject linked to:
Golay code
linked to: Steiner system
linked to: Steiner system