Bose construction of Steiner systems
E886598
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.
Statements (35)
| Predicate | Object |
|---|---|
| instanceOf |
combinatorial construction
ⓘ
design construction method ⓘ |
| aimsAt | explicit construction rather than mere existence proofs ⓘ |
| appliesTo |
Steiner systems
ⓘ
block designs ⓘ |
| basedOn |
algebraic methods
ⓘ
geometric methods ⓘ |
| context |
error-correcting code construction
ⓘ
finite geometry ⓘ |
| documentedIn | research papers by Raj Chandra Bose ⓘ |
| field |
combinatorial design theory
ⓘ
combinatorics ⓘ |
| hasProperty |
constructive existence proof for certain Steiner systems
ⓘ
high degree of symmetry in resulting designs ⓘ |
| influenced | later constructions of combinatorial designs ⓘ |
| introducedBy | Raj Chandra Bose NERFINISHED ⓘ |
| language | mathematical notation ⓘ |
| namedAfter | Raj Chandra Bose NERFINISHED ⓘ |
| notableFor |
explicit algebraic description of blocks
ⓘ
systematic generation of large families of designs ⓘ |
| produces |
Steiner systems S(t,k,v)
NERFINISHED
ⓘ
highly regular block designs ⓘ |
| purpose | systematic construction of Steiner systems ⓘ |
| relatedTo |
Bose construction of balanced incomplete block designs
NERFINISHED
ⓘ
Bose–Bush construction NERFINISHED ⓘ Bose–Chaudhuri–Hocquenghem codes NERFINISHED ⓘ |
| requires |
knowledge of finite fields
ⓘ
knowledge of incidence structures ⓘ |
| timePeriod | mid 20th century ⓘ |
| typicalParameterFocus | Steiner triple systems S(2,3,v) GENERATED ⓘ |
| usedIn |
coding theory
ⓘ
finite geometry research ⓘ theoretical computer science ⓘ |
| uses |
finite fields
ⓘ
projective geometries ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.