1 citations · 1 across the 4 of their papers we have counts for
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Pandiagonal Type-p Franklin Squares
John Lorch
For prime we define magic squares of order , called type- Franklin squares, whose properties specialize to those of classical Franklin squares in the case . We co…
Linear Type-p Most-Perfect Squares
John Lorch
We describe a generalization of most-perfect magic squares, called type-p most-perfect squares, and in prime-power orders we give a linear construction of these squares reminiscent…
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.
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…