Bose–Nair theorem
E886601
The Bose–Nair theorem is a result in combinatorial design theory that provides conditions for the existence and construction of certain balanced incomplete block designs, contributing to the foundations of modern combinatorics and coding theory.
Statements (25)
| Predicate | Object |
|---|---|
| instanceOf |
mathematical theorem
ⓘ
result in combinatorial design theory ⓘ |
| appliesTo |
block designs with specified balance properties
ⓘ
finite incidence structures ⓘ |
| area | discrete mathematics ⓘ |
| contributesTo |
foundations of coding theory
ⓘ
foundations of modern combinatorics ⓘ |
| field |
coding theory
ⓘ
combinatorial design theory ⓘ combinatorics ⓘ |
| namedAfter |
R. C. Bose
NERFINISHED
ⓘ
R. Nair NERFINISHED ⓘ |
| provides |
conditions for construction of certain balanced incomplete block designs
ⓘ
conditions for existence of certain balanced incomplete block designs ⓘ |
| relatedTo |
balanced incomplete block design
ⓘ
finite geometry ⓘ t-design ⓘ |
| subject |
balanced incomplete block designs
NERFINISHED
ⓘ
block designs ⓘ construction of designs ⓘ existence of designs ⓘ |
| typeOfResult |
construction theorem
ⓘ
existence theorem ⓘ |
| usedIn |
construction of combinatorial designs with specified parameters
ⓘ
design of error-correcting codes ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.