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arXiv · 2310.09992

On an uncertainty principle for small index subgroups of finite fields

Diego Fernando Díaz Padilla·Jesús Alonso Ochoa Arango
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Abstract

In this paper we continue the study of the nonvanishing minors property (NVM) initiated by Garcia, Karaali and Katz, for the compressed Fourier matrix attached to a subgroup $H$ of the multiplicative group of a finite field $\mathbb{F}_q$ and a character $\chi$ defined over $H$. Here we provide a characterization of this aforementioned property for \textit{symmetries} arising from an index-3 subgroup $H$ and a nontrivial character $\chi$.

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BibTeXRIS

Diego Fernando Díaz Padilla, Jesús Alonso Ochoa Arango. 2023-10-16. On an uncertainty principle for small index subgroups of finite fields. https://arxiv.org/abs/2310.09992

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