On large sets of disjoint Steiner triple systems II |
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Authors: | Lu Jia-Xi |
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Institution: | Ninth Middle School of Baotou, Baotou, China |
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Abstract: | Let D(v) denote the maximum number of pairwise disjoint Steiner triple systems of order v. In this paper, we prove that if n is an odd number, there exist 12 mutually orthogonal Latin squares of order n and D(1 + 2n) = 2n ? 1, then D(1 + 12n) = 12n ? 1. |
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