Further results about large sets of disjoint Mendelsohn triple systems. I, II (Q2367865)

The paper starts with recalling some known results on the existence of Large Sets of Disjoint Mendelsohn Triple Systems of order \(u\) \((\text{LMTS}(u))\). Then the authors state (without proof) a few results of their own (Theorems 1-4). Combining these results they are able to construct \(\text{LMTS}(u)\) for almost all \(u\) less than or equal to 2000 except for 12 cases in which the existence of an \(\text{LMTS}(u)\) is not yet decided.