Another Product Construction for Large Sets of Resolvable Directed Triple Systems

Abstract

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