#### Vol. 5, No. 2, 2012

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Modular magic sudoku

### John Lorch and Ellen Weld

Vol. 5 (2012), No. 2, 173–186
##### Abstract

A modular magic sudoku solution is a solution to a sudoku puzzle with symbols in $\left\{0,1,\dots ,8\right\}$ such that rows, columns, and diagonals of each subsquare add to $0\phantom{\rule{0.2em}{0ex}}mod\phantom{\rule{0.2em}{0ex}}9$. We count these sudoku solutions by using the action of a suitable symmetry group and we also describe maximal mutually orthogonal families.

##### Keywords
sudoku, magic square, orthogonality, Latin square
Primary: 05B15
##### Milestones
Revised: 24 August 2011
Accepted: 17 September 2011
Published: 27 January 2013

Communicated by Kenneth S. Berenhaut
##### Authors
 John Lorch Department of Mathematical Sciences Ball State University Muncie, IN 47306 United States Ellen Weld Department of Mathematical Sciences Ball State University Muncie, IN 47306 United States