Another product construction for large sets of resolvable directed triple systems (Q2380273)

Summary: A large set of resolvable directed triple systems of order \(v\), denoted by \(\text{LRDTS}(v)\), is a collection of \(3(v-2)\) \(\text{RDTS}(v)\)s based on \(v\)-set \(X\), such that every transitive triple of \(X\) occurs as a block in exactly one of the \(3(v-2)\) \(\text{RDTS}(v)\)s. In this paper, we use DTRIQ and LR-design to present a new product construction for \(\text{LRDTS}(v)\)s. This provides some new infinite families of \(\text{LRDTS}(v)\)s.