New Classes of Zero-Difference Balanced Functions
Qi Wang, Yue Zhou · arXiv (Cornell University) · 2012
Zero-difference balanced (ZDB) functions are very useful in constructing optimal constant composition codes, optimal and perfect difference systems of sets, optimal frequency hopping sequences, etc. In this paper, a generic construction of ZDB functions is proposed, and many new classes of ZDB functions with flexible parameters could be generated. Furthermore, a lower bound on the parameters of ZDB functions is derived. This bound is used to achieve optimality in applications and determine the sizes of preimage sets of ZDB functions.