In this paper,we study new constructions of difference systems of sets.Two direct constructions of difference systems of sets are presented using cyclotomic classes over finite fields,and a new recursive construction of difference systems of sets is established using Kronecker product,which can be viewed as a generalization of the known constructions.By applying these direct and recursive constructions,some infinite series of asymptotically optimal difference systems of sets can be constructed.
difference system of setscyclotomic classdifference coveringcode synchronization