Modular magic sudoku

Lorch, John; Weld, Ellen

doi:10.2140/involve.2012.5.173

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Modular magic sudoku

John Lorch and Ellen Weld

Vol. 5 (2012), No. 2, 173–186

DOI: 10.2140/involve.2012.5.173

Abstract

A modular magic sudoku solution is a solution to a sudoku puzzle with symbols in ${0, 1, \dots, 8}$ such that rows, columns, and diagonals of each subsquare add to $0 mod 9$ . 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

Mathematical Subject Classification 2010

Primary: 05B15

Milestones

Received: 2 May 2011

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

Vol. 5, No. 2, 2012