Stinson, D. R.; Ferch, H. 2000000 Steiner triple systems of order 19. (English) Zbl 0564.05011 Math. Comput. 44, 533-535 (1985). A Steiner triple system of order v (denoted STS(v)) is a pair (X,B), where X is a set of v elements and B is a set of 3-subsets of X such that every pair of elements of X occurs in a unique block (element of B). If N(v) is the number of nonisomorphic STS(v), then it is known that \(N(1)=N(3)=N(7)=N(9)=1\), \(N(13)=2\), \(N(15)=80\). Results concerning N(19) include enumerations of particular classes of STS(19). In this paper the authors prove that there exist more than 2.000.000 STS(19). Reviewer: M. Gionfriddo Cited in 8 Documents MSC: 05B07 Triple systems Keywords:Steiner triple system; STS(19) PDFBibTeX XMLCite \textit{D. R. Stinson} and \textit{H. Ferch}, Math. Comput. 44, 533--535 (1985; Zbl 0564.05011) Full Text: DOI