This article is cited in 1 paper

Theoretical Foundations of Applied Discrete Mathematics

Classes of polynomial and variative coordinate polynomial functions over Galois ring

M. V. Zaets

Research Institute "Kvant"

Abstract: A new class of functions over Galois ring $R=\mathrm{GR}(q^m,p^m)$ named functions with the variative coordinate polynomiality (VCP-functions) is introduced. The relation between this class and the class of polynomial functions over $R$ is considered. An upper bound for the amount of such functions is presented, and sufficient conditions for a VCP-function not to be a polynomial are given.

Keywords: polynomial functions, Galois ring, coordinate set, VCP-functions.

UDC: 512.55