Strongly orthogonal and uniformly orthogonal many-placed operations

Abstract

In [3] we have studied connection between orthogonal hypercubes and many-placed (d-ary) operations, have considered different types of orthogonality and their relationships. In this article we continue study of orthogonality of many-placed operations, considering special types of orthogonality such as strongly orthogonality and uniformly orthogonality. We introduce distinct types of strongly orthogonal sets and of uniformly orthogonal sets of d-ary operations, consider their properties and establish connections between them.