Abstract
An LRMTS(v) is a large set consisting of v−2 pairwise disjoint resolvable Mendelsohn triple systems defined over the same v-element set. In this paper a new product construction for LRMTS is displayed by using generalized LR-designs. As well, several new existence families of LRMTS are constructed via 3-wise balanced designs. Finally the existence result of LRMTS is expanded by combining all the known constructions.
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