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arXiv · 2507.08809

Constructing Superregular Matrices

Gustavo Terra Bastos·Sara D. Cardell
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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.

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Gustavo Terra Bastos, Sara D. Cardell. 2025-06-23. Constructing Superregular Matrices. https://arxiv.org/abs/2507.08809

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