Several Classes Of Generalized Zero-difference Balanced Functions An Their Applications

Zero-difference balanced(ZDB) functions were introduced by Ding in con-nection with constructions of optimal constant composition codes and optimal and perfect dif-ference systems of sets. Basing on such functions, optimal constant weight codes and optimal frequency hopping sequence have been constructed. In the present thesis, the zero-difference balanced function is generalized to the generalized zero-difference balanced function(G-ZDB), and basing on properties of p cyclotomic cosets and elementary number theory methods and techniques, several new classes of generalized zero-difference balanced functions are construct-ed and then a class of constant composition codes and difference systems of sets are construct-ed.