Sub-latin squares and incomplete orthogonal arrays |
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Authors: | JD Horton |
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Institution: | University of Waterloo, Waterloo, Ontario, Canada |
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Abstract: | The main result of this paper is that for any pair of orthogonal Latin squares of side k, there will exist for all sufficiently large n a pair of orthogonal Latin squares with the first pair as orthogonal sub-squares. The orthogonal array corresponding to a set of pairwise orthogonal Latin squares, minus the sub-array corresponding to orthogonal sub-squares is called an incomplete orthogonal array; this concept is generalized slightly. |
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