The construction of large sets of disjoint Mendelsohn triple systems of order \(2^ n + 2\) (Q1175991)

Using the field \(GF(2^ n)\) the author constructs a collection of \(v-2\) (maximally possible number) pairwise disjoint Mendelsohn triple systems of order \(v\) on the same \(v\)-set for \(v=2^ n+2\), \(n\geq 3\). Such a collection reaching this bound is called a large set of Mendelsohn triple system of order \(v\).