Linear code

GPTKB entity

Statements (32)
Predicate Object
gptkbp:instanceOf gptkb:error-correcting_code
gptkbp:allows length of codewords
gptkbp:application data transmission
error correction
data storage
error detection
gptkbp:characterizedBy parameters [n, k, d]
gptkbp:definedIn subspace of vector space over finite field
gptkbp:example gptkb:Hamming_code
gptkb:BCH_code
gptkb:Golay_code
gptkb:Reed-Solomon_code
gptkbp:field gptkb:finite_field
gptkbp:generatorMatrix matrix whose rows span the code
gptkbp:inventedBy 1940s
gptkbp:kraj dimension of code
gptkbp:parityCheckMatrix matrix whose null space is the code
gptkbp:property closed under addition
closed under scalar multiplication
gptkbp:relatedTo gptkb:block_code
syndrome decoding
cyclic code
weight distribution
dual code
gptkbp:studiedBy gptkb:Richard_Hamming
gptkb:Gustave_Solomon
gptkb:Irving_S._Reed
gptkbp:usedIn coding theory
gptkbp:דת minimum distance
gptkbp:bfsParent gptkb:Error-correcting_codes
gptkbp:bfsLayer 7
https://www.w3.org/2000/01/rdf-schema#label Linear code