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- W4385328013 abstract "Let $r > 0$ be an integer, let $mathbb{F}_q$ be a finite field of $q$ elements, and let $mathcal{A}$ be a nonempty proper subset of $mathbb{F}_q$. Moreover, let $mathbf{M}$ be a random $m times n$ rank-$r$ matrix over $mathbb{F}_q$ taken with uniform distribution. We prove, in a precise sense, that, as $m, n to +infty$ and $r,q,mathcal{A}$ are fixed, the number of entries of $mathbf{M}$ that belong to $mathcal{A}$ approaches a normal distribution." @default.
- W4385328013 created "2023-07-28" @default.
- W4385328013 creator A5030500922 @default.
- W4385328013 date "2023-07-26" @default.
- W4385328013 modified "2023-10-14" @default.
- W4385328013 title "On the distribution of the entries of a fixed-rank random matrix over a finite field" @default.
- W4385328013 doi "https://doi.org/10.48550/arxiv.2307.14172" @default.
- W4385328013 hasPublicationYear "2023" @default.
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