Constructing Superregular Matrices
Rings and Algebras
2025-07-15 v1
Abstract
Superregular matrices, i.e., matrices where all square submatrices are non-singular, have a wide range of applications in communications. A superregular block matrix is a broader concept where all full block submatrices, with the appropriate size, are non-singular. In this work we propose a construction of block superregular matrices based on the Kronecker product of superregular matrices with non-singular matrices. Furthermore, we propose two constructions of superregular matrices via other smaller superregular matrices over smaller fields.
Keywords
Cite
@article{arxiv.2507.08809,
title = {Constructing Superregular Matrices},
author = {Gustavo Terra Bastos and Sara D. Cardell},
journal= {arXiv preprint arXiv:2507.08809},
year = {2025}
}