A linear algebraic approach to orthogonal arrays and Latin squares
Combinatorics
2009-05-05 v1
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.
Cite
@article{arxiv.0905.0195,
title = {A linear algebraic approach to orthogonal arrays and Latin squares},
author = {A. A. Khanban and M. Mahdian and E. S. Mahmoodian},
journal= {arXiv preprint arXiv:0905.0195},
year = {2009}
}
Comments
11 pages