Constructing Superregular Matrices
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915385424478208 |
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| author | Bastos, Gustavo Terra Cardell, Sara D. |
| author_facet | Bastos, Gustavo Terra Cardell, Sara D. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_08809 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Constructing Superregular Matrices Bastos, Gustavo Terra Cardell, Sara D. Rings and Algebras 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. |
| title | Constructing Superregular Matrices |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2507.08809 |