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gptkbp:instanceOf
|
error-correcting code
|
|
gptkbp:application
|
error correction
error detection
|
|
gptkbp:basisFor
|
Boolean polynomials
|
|
gptkbp:category
|
block code
|
|
gptkbp:characteristic
|
binary code
|
|
gptkbp:decodingMethod
|
majority logic decoding
|
|
gptkbp:dimensions
|
sum_{i=0}^r {m \\choose i}
|
|
gptkbp:distance
|
2^{m-r}
|
|
gptkbp:encodes
|
polynomial evaluation
|
|
gptkbp:field
|
coding theory
|
|
gptkbp:generalizes
|
gptkb:parity-check_code
repetition code
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Reed–Muller code
|
|
gptkbp:introducedIn
|
1954
|
|
gptkbp:length
|
2^m
|
|
gptkbp:namedAfter
|
gptkb:David_E._Muller
gptkb:Irving_S._Reed
|
|
gptkbp:notation
|
RM(r, m)
|
|
gptkbp:property
|
recursive construction
hierarchical structure
majority logic decodable
dual code is also a Reed–Muller code
|
|
gptkbp:relatedTo
|
gptkb:BCH_code
gptkb:Hadamard_code
|
|
gptkbp:type
|
linear block code
|
|
gptkbp:usedIn
|
digital communications
satellite communications
data storage
space communications
deep-space missions
|
|
gptkbp:bfsParent
|
gptkb:Reed–Solomon_codes
gptkb:Walsh–Hadamard_code
gptkb:Irving_S._Reed
|
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gptkbp:bfsLayer
|
6
|