The paper establishes a lower bound on the minimal size of an almost cover for a finite point set V and excluded point v in affine n-space, while generalizing Sziklai-Weiner theorem via Gröbner bases.
Bishnoi, A coding theoretic application of the Alon-F¨ uredi theorem, blog post (2021)
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Almost covers of finite sets of points
The paper establishes a lower bound on the minimal size of an almost cover for a finite point set V and excluded point v in affine n-space, while generalizing Sziklai-Weiner theorem via Gröbner bases.