Costas array

GPTKB entity

Statements (25)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:application gptkb:radar
gptkb:sonar
communications
gptkbp:builtBy Golomb construction
Welch construction
gptkbp:category combinatorics
gptkbp:defines An n×n array with n marks, one per row and column, such that all displacement vectors between marks are distinct.
gptkbp:difficulty enumeration is hard for large n
gptkbp:field gptkb:mathematics
gptkb:signal_processing
combinatorics
gptkbp:firstDescribed 1965
https://www.w3.org/2000/01/rdf-schema#label Costas array
gptkbp:namedAfter gptkb:John_P._Costas
gptkbp:property all vectors between marks are unique
no two marks are in the same row or column
gptkbp:relatedTo gptkb:Golomb_ruler
permutation matrix
gptkbp:sequence gptkb:A008404
gptkbp:usedIn coding theory
frequency hopping
spread spectrum
gptkbp:bfsParent gptkb:John_George_Costas
gptkbp:bfsLayer 5