extended binary Golay code

GPTKB entity

Statements (29)
Predicate Object
gptkbp:instanceOf error-correcting code
gptkbp:alphabet binary
gptkbp:application coding theory
sphere packing
theory of sporadic simple groups
gptkbp:automorphismGroup gptkb:Mathieu_group_M24
gptkbp:correctsUpTo 3 errors
gptkbp:detectsUpTo 7 errors
gptkbp:dimensions 12
gptkbp:discoveredBy gptkb:Marcel_J._E._Golay
gptkbp:discoveredIn 1949
gptkbp:distance 8
gptkbp:doublyEven true
gptkbp:generatorMatrix exists
https://www.w3.org/2000/01/rdf-schema#label extended binary Golay code
gptkbp:length 24
gptkbp:parityCheckMatrix exists
gptkbp:relatedTo gptkb:Mathieu_group_M24
gptkb:binary_Golay_code
gptkbp:selfDual true
gptkbp:type linear code
perfect code
gptkbp:usedIn deep-space communication
gptkbp:weightDistribution 24 codewords of weight 24
2576 codewords of weight 12
759 codewords of weight 16
759 codewords of weight 8
gptkbp:bfsParent gptkb:binary_Golay_code
gptkbp:bfsLayer 7