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Fractions of permutations. An application to Sudoku. (English) Zbl 1235.62105
Summary: We study how to simplify fractional factorial design generation by exploiting the a priori knowledge that can be derived from the orthogonality constraints that the fractional factorial design itself must satisfy. We work on Sudoku puzzles that can be considered as a special case of Latin squares in the class of gerechte designs. We prove that the generation of a Sudoku is equivalent to that of a fraction of a proper set of permutations. We analyse both the $4×4$ and the $9×9$ Sudoku types.
##### MSC:
 62K15 Factorial statistical designs
##### Keywords:
design of experiments; permutation matrix
##### References:
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