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Constructing superregular and block superregular matrices
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DOI：10.1080/03081087.2026.2666859.png)
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Abstract
En 中文
Superregular matrices, i.e. matrices where all square submatrices are non-singular, have a wide range of applications in communications. A block superregular 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 a superregular matrix with a non-singular matrix. Furthermore, we propose two constructions of superregular matrices via other smaller superregular matrices over smaller fields.
Keywords:
Superregular matrix
block superregular matrix
primitive polynomial
Kronecker product
companion matrix
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