Apply Cyclotomic Class to Signal Design

This paper studies the constructions of the difference set pairs.Firstly,states the basic definitions and some properties of the difference set pairs and cyclotomic class,constructs some families of difference set pairs by means of single cycloomic class,and meantime,takes some examples to surrport the clam;Secondly,it uses difference set pairs that is constructed cyclotomic class to construct perfect binary sequence pairs;Finally,meanwhile,applyies cyclotomic class to study perfect signals design based on pairs by using the modern mathematical theory was made as well.