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Mutually orthogonal latin squares with large holes
[article]

2014
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arXiv
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pre-print

Two latin squares are orthogonal if, when they are superimposed, every ordered pair of symbols appears exactly once. This definition extends naturally to 'incomplete' latin squares each having a hole on the same rows, columns, and symbols. If an incomplete latin square of order n has a hole of order m, then it is an easy observation that n > 2m. More generally, if a set of t incomplete mutually orthogonal latin squares of order n have a common hole of order m, then n > (t+1)m. In this article,

arXiv:1410.6743v1
fatcat:khupxleg3fbgfaqrifx7yubfgu