A tripling construction for overlarge sets of KTS
An overlarge set of Steiner triple systems of order \(v\) is a partition of all triples on \(v+1\) points into Steiner triple systems. When each of the Steiner triple systems in the partition is resolvable, one obtains an overlarge set of Kirkman triple systems (OLKTS). This paper shows that, under certain conditions, an OLKTS of order \(v\) can be used to produce an OLKTS of order \(3v\). As a consequence an infinite class of OLKTS is produced.
scientific article; zbMATH DE number 5542395