Prime and Co-prime Integer Matrices

TL;DR

This paper explores the properties of prime and co-prime integer matrices, providing characterizations and construction methods with potential applications in multidimensional co-prime sensing and Chinese remainder theorem.

Contribution

It characterizes all pairwise co-prime integer matrices that are also prime, offering a new approach to constructing such matrices.

Findings

Characterization of pairwise co-prime prime integer matrices

Method for constructing families of co-prime integer matrices

Potential applications in multidimensional sensing and Chinese remainder theorem

Abstract

This paper investigates prime and co-prime integer matrices and their properties. It characterizes all pairwise co-prime integer matrices that are also prime integer matrices. This provides a simple way to construct families of pairwise co-prime integer matrices, that may have applications in multidimensional co-prime sensing and multidimensional Chinese remainder theorem.