A linear algebraic approach to orthogonal arrays and Latin squares

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dc.creatorKhanban, A. A.
dc.creatorMahdian, M.
dc.creatorMahmoodian, E. S.
dc.date2009-05-02
dc.date.accessioned2026-07-07T13:11:15Z
dc.date.available2026-07-07T13:11:15Z
dc.descriptionTo 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.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/0905.0195
dc.identifierhttp://arxiv.org/abs/0905.0195
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/229230
dc.subjectCombinatorics
dc.subject05B15
dc.titleA linear algebraic approach to orthogonal arrays and Latin squares
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