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arXiv · 0905.0195

A linear algebraic approach to orthogonal arrays and Latin squares

A. A. Khanban·M. Mahdian·E. S. Mahmoodian
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Abstract

To study orthogonal arrays and signed orthogonal arrays, Ray-Chaudhuri and Singhi (1988 and 1994) considered some module spaces. Here, using a linear algebraic approach we define an inclusion matrix and find its rank. In the special case of Latin squares we show that there is a straightforward algorithm for generating a basis for this matrix using the so-called intercalates. We also extend this last idea.

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A. A. Khanban, M. Mahdian, E. S. Mahmoodian. 2009-05-02. A linear algebraic approach to orthogonal arrays and Latin squares. https://arxiv.org/abs/0905.0195

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