Constructions of Difference Systems of Sets and Disjoint Difference Families

Abstract

<para xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> Difference systems of sets (DSSs) are combinatorial structures that are a generalization of cyclic difference sets and arise in connection with code synchronization. In this correspondence, we give some constructions of DSS from cyclic designs and get some infinite classes of optimal difference systems of sets. </para>