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arXiv · 2502.06005

Greedy capsets

Oliver Dawson·Oleg Shuvaev·José Felipe Voloch
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Abstract

A capset is a subset $C \subset \mathbb{F}_3^n$ with no three points on a line. We characterise the capsets produced by successively removing points from the ambient space such that the removed point has the maximum number of lines contained in the set of remaining points and passing through it until the set of remaining points contains no lines.

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Oliver Dawson, Oleg Shuvaev, José Felipe Voloch. 2025-02-09. Greedy capsets. https://arxiv.org/abs/2502.06005

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