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The Hadamard code is an error-correcting code named after the French mathematician Jacques Hadamard that is used for error detection and correction when transmitting messages over very noisy or unreliable channels. In 1971, the code was used to transmit photos of Mars back to Earth from the NASA space probe Mariner 9. Because of its unique mathematical…
History & Art
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code hadamard displaystyle distance codes used matrix message length k-1 walsh codewords linear augmented codeword hamming binary generator construction also
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Hadamard code | Alphabet size | 2 {\displaystyle 2} | 1.00 | infobox |
| Hadamard code | Block length | n = 2 k {\displaystyle n=2^{k}} | 1.00 | infobox |
| Hadamard code | Distance | d = 2 k − 1 {\displaystyle d=2^{k-1}} | 1.00 | infobox |
| Hadamard code | Message length | k {\displaystyle k} | 1.00 | infobox |
| Hadamard code | Named after | Jacques Hadamard | 1.00 | infobox |
| Hadamard code | Notation | [ 2 k , k , 2 k − 1 ] 2 {\displaystyle [2^{k},k,2^{k-1}]_{2}} -code | 1.00 | infobox |
| Hadamard code | Rate | k / 2 k {\displaystyle k/2^{k}} | 1.00 | infobox |
| Hadamard code | Type | Linear block code | 1.00 | infobox |
| Hadamard code | is a | error-correcting code named after the French mathematician Jacques Hadamard that is used for error detection and correction when transmitting messages over very noisy or unrelia… | 0.90 | text |
| Hadamard code | is a | slightly improved version of the Hadamard code | 0.90 | text |
| Hadamard code | is a | locally decodable code | 0.90 | text |
| Hadamard code | is a | linear code | 0.90 | text |
| Hadamard code | is a | parity-check matrix for the extended Hamming code of length 2 k | 0.90 | text |
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