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IPM
30
YEARS OLD

“School of Mathematics”

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Paper   IPM / M / 8731
School of Mathematics
  Title:   A linear algebraic approach to orthogonal arrays and latin squares
  Author(s):  E. S. Mahmoodian (Joint with A. A. Khanban and M. Mahdian)
  Status:   To Appear
  Journal: Ars Combin.
  Supported by:  IPM
  Abstract:
To study orthogonal arrays and signed orthogonal arrays, Ray-Chaudhuri and 8inghi (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 al�gorithm for generating a basis for this matrix using the so-called intercalates. We also extend this last idea.

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