Corpus ID: 141481852

How to Find New Characteristic-Dependent Linear Rank Inequalities using Binary Matrices as a Guide

@article{Pea2019HowTF,
  title={How to Find New Characteristic-Dependent Linear Rank Inequalities using Binary Matrices as a Guide},
  author={Victor Pe{\~n}a and Humberto Sarria},
  journal={ArXiv},
  year={2019},
  volume={abs/1905.00003}
}
In Linear Algebra over finite fields, a characteristic-dependent linear rank inequality is a linear inequality that holds by ranks of subspaces of a vector space over a finite field of determined characteristic, and does not in general hold over other characteristics. In this paper, we show a method to produce these inequalities using binary matrices with suitable ranks over different fields. In particular, for each $n\geq7$, we produce $2\left\lfloor \frac{n-1}{2}\right\rfloor -4… Expand
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