A recursive construction of doubly resolvable Steiner quadruple systems

Two resolutions of the same 3-design are said to be orthogonal when each parallel class of one resolution has at most one block in common with each parallel class of the other resolution. If a Steiner quadruple system has two mutually orthogonal resolutions, the design is called doubly resolvable and denoted by DRSQS. In this paper, we define almost doubly resolvable candelabra quadruple system and then to get a recursive construction of DRSQS, i.e., for \(n\ge 16\) $n\ge 16$ , if there is a DRSQS(n), then there exists a DRSQS \((14n-12)\) $(14n-12)$ and a DRSQS \((16n-12)\) $(16n-12)$ .