Kerdock code

GPTKB entity

Statements (20)
Predicate Object
gptkbp:instanceOf error-correcting code
gptkbp:alphabet binary
gptkbp:automorphismGroup large
gptkbp:discoveredIn 1972
gptkbp:distance 2^{m-1}
gptkbp:field coding theory
https://www.w3.org/2000/01/rdf-schema#label Kerdock code
gptkbp:isAdditive yes
gptkbp:isMatrixGroup no
gptkbp:length 2^m
gptkbp:namedAfter Andrew M. Kerdock
gptkbp:notableFor can be described using quadratic forms
meets the sphere-packing bound for binary codes
nonlinear but has large minimum distance
gptkbp:relatedTo gptkb:Reed–Muller_code
Preparata code
gptkbp:usedIn communications
data storage
gptkbp:bfsParent gptkb:Delsarte–Goethals_code
gptkbp:bfsLayer 8