Integral point sets over ${\mathbb{Z}}_n^m$

Abstract

There are many papers studying properties of point sets in the Euclidean space ${\mathbb{E}}^m$ or on integer grids ${\mathbb{Z}}^m$, with pairwise integral or rational distances. In this article we consider the distances or coordinates of the point sets which instead of being integers are elements of $\mathbb{Z}/\mathbb{Z}n$, and study the properties of the resulting combinatorial structures.

20 pages, 3 figures

References in corpus (1)

• Integral point sets over finite fields