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math.CO2013
Constructing Ordered Orthogonal Arrays via Sudoku
John Lorch
For prime powers q we use "strongly orthogonal" linear Sudoku solutions of order q^2 to construct ordered orthogonal arrays of type OOA (4,s,2,q), and for each q we present a range…
math.CO2013
A quick construction of mutually orthogonal sudoku squares
John Lorch
For any odd prime power q we provide a quick construction of a complete family of q(q-1) mutually orthogonal sudoku squares of order q^2.
math.CO2013★ 1 cited
Nest graphs and minimal complete symmetry groups for magic Sudoku variants
Elizabeth Arnold, Rebecca Field, John Lorch +2
A symmetry group for Sudoku is complete if its action partitions the set of Sudoku boards into all possible orbits, and minimal if no group of smaller size would do the same. Previ…