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A linear algebraic approach to orthogonal arrays and Latin squares

Khanban, A. A ; Sharif University of Technology | 2012

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  1. Type of Document: Article
  2. Publisher: 2012
  3. Abstract:
  4. 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. Copyright
  5. Keywords:
  6. Basis for inclusion matrix ; Latin squares ; Latin trades ; Orthogonal arrays
  7. Source: Ars Combinatoria ; Volume 105 , 2012 , Pages 3-13 ; 03817032 (ISSN)
  8. URL: http://arxiv.org/pdf/0905.0195.pdf