Access structures determined by uniform polymatroids

Abstract In this article, all multipartite access structures obtained from uniform integer polymatroids were investigated using the method developed by Farràs, Martí-Farré, and Padró. They are matroid ports, i.e., they satisfy necessary condition to be ideal. Moreover, each polymatroid defines some ideal structures. Some objects in family can useful for applications of secret sharing. The presented article is universal continued with other classes further similar studies. Here, we especially interested hierarchy participants determined structure, distinguish two main classes: compartmented hierarchical results a monotone increasing Δ \Delta summarized as follows. If increment sequence non-constant, then structure connected. does not contain any singletons or height maximal its constant starting second element, compartmented. generated singleton hierarchical. proven ideal, their orders completely determined. if ∣ > 1 | \gt 1 , order antisymmetric, different blocks equivalent. always flat, that is, every chain has at most elements.