Some Recent Results on Cyclic Steiner Quadruple Systems - A Survey

Abstract

Publisher Summary This chapter presents a unified account of some of the recent results on cyclic steiner quadruple systems. The chapter presents some of the conjectures that have been made and discusses some of the remaining problems. The chapter denotes a cyclic Steiner quadruple system of order v by CSQS(v) and represents it in the usual way as the union o f 4-block orbits under the action of the cyclic group C v = . The chapter applies the known methods of construction to various “small” systems constructed by hand or with the aid of a computer search to give an account of the known spectrum of CSQS(v).