Some Zero-Difference Functions Over $\mathbb{Z}_n$ Using Cyclotomies

Abstract

A generic method to construct zero-difference functions (ZDFs) on algebraic rings is proposed in this paper. Then this method is used over some rings $\mathbb{Z}_{p^k}$, where $p$ is a prime number and $k\ge 2$ is a positive integer, and for some other special rings.