Statements (44)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
error-correcting code
|
| gptkbp:amends |
up to 4 errors
|
| gptkbp:application |
data transmission
|
| gptkbp:characteristics |
perfect code
|
| gptkbp:code |
true
exists syndrome decoding 3^6 = 729 |
| gptkbp:complement |
true
|
| gptkbp:dimensions |
6
|
| gptkbp:established |
gptkb:Marcel_Golay
|
| gptkbp:field |
GF(3)
|
| gptkbp:generator |
exists
|
| gptkbp:has |
codewords of weight 12
codewords of weight 15 codewords of weight 18 codewords of weight 21 codewords of weight 24 codewords of weight 27 codewords of weight 9 syndromes |
| https://www.w3.org/2000/01/rdf-schema#label |
ternary Golay code
|
| gptkbp:is |
a perfect code in ternary
a type of linear block code used in error correction algorithms |
| gptkbp:is_designed_to |
projective geometry
|
| gptkbp:is_used_in |
communication systems
coding theory data storage systems error detection systems |
| gptkbp:language_of_instruction |
linear transformation
|
| gptkbp:length |
27
3^n for n=6 |
| gptkbp:par |
exists
|
| gptkbp:related_to |
finite fields
Hamming codes |
| gptkbp:runway_length |
9
|
| gptkbp:safety_features |
up to 4 errors
up to 8 errors |
| gptkbp:single |
false
|
| gptkbp:specialization |
gptkb:binary_Golay_code
|
| gptkbp:technique |
majority voting
|
| gptkbp:type |
linear code
|
| gptkbp:weight |
known
|