Bose–Bush construction of orthogonal arrays
E886599
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.
Statements (47)
| Predicate | Object |
|---|---|
| instanceOf |
combinatorial construction
ⓘ
method in coding theory ⓘ method in design of experiments ⓘ |
| appliesTo |
factorial experiments
ⓘ
multifactor experiments ⓘ |
| basedOn |
finite field arithmetic
ⓘ
incidence structures ⓘ |
| characterizedBy |
algebraic structure
ⓘ
combinatorial regularity ⓘ |
| ensures |
level balance across factors
ⓘ
pairwise balance of factor levels ⓘ uniform coverage of treatment combinations ⓘ |
| field |
combinatorial design theory
ⓘ
design of experiments ⓘ error-correcting codes ⓘ |
| goal |
to achieve strong balance properties in designs
ⓘ
to construct orthogonal arrays with specified strength ⓘ to obtain codes with good distance properties ⓘ |
| hasApplication |
industrial experimentation
ⓘ
information theory ⓘ quality control ⓘ statistics ⓘ |
| hasProperty |
highly structured
ⓘ
produces balance ⓘ produces symmetry ⓘ systematic ⓘ |
| influenced |
development of combinatorial design theory
ⓘ
later constructions of orthogonal arrays ⓘ |
| namedAfter |
K. A. Bush
NERFINISHED
ⓘ
R. C. Bose NERFINISHED ⓘ |
| produces |
error-correcting code
ⓘ
experimental design ⓘ orthogonal array ⓘ |
| relatedTo |
Bose construction of balanced incomplete block designs
NERFINISHED
ⓘ
Bush-type orthogonal array NERFINISHED ⓘ Hadamard matrix constructions NERFINISHED ⓘ |
| timePeriod | mid 20th century ⓘ |
| usedFor |
construction of block codes
ⓘ
construction of linear codes ⓘ systematic design of experiments ⓘ |
| usedIn |
construction of resolvable designs
ⓘ
construction of symmetric designs ⓘ theory of optimal experimental designs ⓘ |
| usesConcept |
balanced incomplete block design
ⓘ
combinatorial balance ⓘ finite field ⓘ orthogonal array ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.