On large sets of disjoint steiner triple systems I |
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Authors: | Lu Jia-Xi |
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Affiliation: | 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, it is proved that if D(2 + n) = n, p is a prime number, p ≡ 7 (mod 8) or p? {5, 17, 19, 2}, and (p, n) ≠ (5, 1), then D(2 + pn) = pn. |
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