Prime and Co-prime Integer Matrices
Signal Processing
2025-07-25 v4 Discrete Mathematics
Information Theory
math.IT
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.
Cite
@article{arxiv.2505.00862,
title = {Prime and Co-prime Integer Matrices},
author = {Xiang-Gen Xia and Guangpu Guo},
journal= {arXiv preprint arXiv:2505.00862},
year = {2025}
}