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MUTUALLY ORTHOGONAL FAMILIES OF LINEAR SUDOKU SOLUTIONS

Part of: Designs and configurations

Published online by Cambridge University Press:  15 December 2009

JOHN LORCH
JOHN LORCH*
Affiliation:
Department of Mathematical Sciences, Ball State University, Muncie, IN 47306-0490, USA (email: [email protected])
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Abstract

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For a class of ‘linear’ sudoku solutions, we construct mutually orthogonal families of maximal size for all square orders, and we show that all such solutions must lie in the same orbit of a symmetry group preserving sudoku solutions.

Keywords

sudokusudoku grouporthogonal latin squaresmutually orthogonal latin squares

MSC classification

Secondary: 05B15: Orthogonal arrays, Latin squares, Room squares
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 87 , Issue 3 , December 2009 , pp. 409 - 420
Copyright
Copyright © Australian Mathematical Publishing Association, Inc. 2009

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