Existence of non‐resolvable Steiner triple systems

We consider two well-known constructions for Steiner triple systems. The first construction is recursive and uses an STS(v) to produce a non-resolvable STS(2v + 1), for v ≡ 1 (mod 6). The other construction is the Wilson construction that we specify to give a non-resolvable STS(v), for v ≡ 3 (mod 6), v > 9. © 2004 Wiley Periodicals, Inc. J Combin Designs 13: 16–24, 2005.