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.

All labels observed (3)

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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 ⓘ
R. C. Bose ⓘ
linked to: Raj Chandra Bose
produces error-correcting code ⓘ
experimental design ⓘ
orthogonal array ⓘ
relatedTo Bose construction of balanced incomplete block designs ⓘ
Bush-type orthogonal array ⓘ
Hadamard matrix constructions ⓘ
linked to: Hadamard matrices
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 ⓘ

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Referenced by (3)

Full triples — surface form annotated when it differs from this entity's canonical label.

Raj Chandra Bose → notableWork → Bose–Bush construction of orthogonal arrays ⓘ
Bose construction of Steiner systems → relatedTo → Bose–Bush construction ⓘ
linked to: Bose–Bush construction of orthogonal arrays
Bose–Bush construction of orthogonal arrays → relatedTo → Bush-type orthogonal array ⓘ
linked to: Bose–Bush construction of orthogonal arrays