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期刊论文
On large sets of Kirkman triple systems and 3-wise balanced design
Discrete Mathematics 279(2004)345-354，-0001，（）：
In this paper, the existence of large sets of Kirkman triple system is transformed to the existence of fnite OLKFs and LGKSs. Our main result is: If there exist both an OLKF(6k) and an LGKS({3}, {6+3}, 6k−1, 6(k−1)+3; 3) for all k ∈{6, 7,..., 40}\{14, 17, 21, 22, 25, 26}, then there exists an LKTS(v) for any v≡3 (mod6), v≠21. As well, we present a construction of 3-wise balanced design.
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