Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
combinatorics
|
| gptkbp:application |
gptkb:geometry
cryptography experimental design error correcting codes |
| gptkbp:defines |
Two Latin squares of the same order are orthogonal if, when superimposed, each ordered pair of symbols occurs exactly once.
|
| gptkbp:field |
gptkb:mathematics
combinatorics |
| https://www.w3.org/2000/01/rdf-schema#label |
orthogonal Latin squares
|
| gptkbp:maximumLoanAmount |
at most n-1 for order n
|
| gptkbp:namedFor |
gptkb:Leonhard_Euler
|
| gptkbp:notableAchievement |
Euler's 36 officers problem
|
| gptkbp:notation |
MOLS (mutually orthogonal Latin squares)
|
| gptkbp:property |
exist for all orders except 2 and 6
|
| gptkbp:relatedConcept |
gptkb:Graeco-Latin_square
pairwise orthogonal Latin squares |
| gptkbp:relatedTo |
gptkb:Latin_square
gptkb:mutually_orthogonal_Latin_squares |
| gptkbp:usedIn |
gptkb:Sudoku_puzzles
statistical design of experiments construction of finite projective planes |
| gptkbp:bfsParent |
gptkb:Latin_squares
|
| gptkbp:bfsLayer |
8
|