Algebraic capsets
Combinatorics
2026-03-10 v2
Abstract
Capsets are subsets of with no three points on a line and a capset is complete if it is not a subset of a larger capset. We study some new constructions of capsets via algebraic equations over extensions of . In particular we construct the smallest known complete capsets with size proportional to the best known lower bound.
Keywords
Cite
@article{arxiv.2602.05254,
title = {Algebraic capsets},
author = {Cassie Grace and José Felipe Voloch},
journal= {arXiv preprint arXiv:2602.05254},
year = {2026}
}