Some New Steiner \(2\)-Designs \(S(2,4, 37)\)

Abstract

Automorphisms of Steiner \(2\)-designs \(S(2,4,37)\) are studied and used to find many new examples. Some of the constructed designs have \(S(2,3,9)\) subdesigns, closing the last gap in the embedding spectrum of \(S(2,3,9)\) designs into \(S(2,4,v)\) designs.