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Orthogonal factor‐pair Latin squares of prime‐power order |
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| Authors: | James Hammer John Lorch |
| Abstract: | We introduce a linear method for constructing factor‐pair Latin squares of prime‐power order and we identify criteria for determining whether two factor‐pair Latin squares constructed using this linear method are orthogonal. Then we show that families of pairwise mutually orthogonal diagonal factor‐pair Latin squares exist in all prime‐power orders. |
| Keywords: | diagonal Latin square factor‐pair Latin square orthogonal Latin square Sudoku Latin square |