Statements (29)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
|
| gptkbp:entriesAre |
1
-1 |
| gptkbp:fieldOfStudy |
gptkb:mathematics
combinatorics linear algebra |
| https://www.w3.org/2000/01/rdf-schema#label |
Hadamard matrix
|
| gptkbp:isSquare |
true
|
| gptkbp:namedAfter |
gptkb:Jacques_Hadamard
|
| gptkbp:orderIs |
n
1, 2, or a multiple of 4 |
| gptkbp:property |
orthogonal group
rows are mutually orthogonal H * H^T = nI binary matrix (if 0/1 version) columns are mutually orthogonal exists for n=1,2, and all multiples of 4 up to at least 664 determinant attains maximum absolute value for entries ±1 |
| gptkbp:relatedTo |
gptkb:Hadamard_conjecture
gptkb:Sylvester's_construction |
| gptkbp:usedIn |
gptkb:signal_processing
gptkb:quantum_computing combinatorics error correcting codes |
| gptkbp:bfsParent |
gptkb:Walsh_codes
gptkb:Jacques_Hadamard gptkb:Walsh–Hadamard_code gptkb:Walsh_matrix |
| gptkbp:bfsLayer |
6
|