On the existence of MOLS with equal-sized holes |
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| Authors: | D R. Stinson L Zhu |
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| Affiliation: | (1) Department of Computer Science, University of Manitoba, R3T 2N2 Winnipeg, Manitoba, Canada;(2) Department of Mathematics, Suzhou University, People's Republic of China |
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| Abstract: | We consider a pair of MOLS (mutually orthogonal Latin squares) having holes, corresponding to missing sub-MOLS, which are disjoint and spanning It is shown that a pair of MOLS withn holes of sizeh exist forh  2 if and only ifn 4 For SOLS (self-orthogonal Latin squares) with holes, we have the same result, with two possible exceptions SOLS with 7 or 13 holes of size 6 |
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| Keywords: | Primary 05B15 |
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