Algebraic Capsets

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.

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Publication Details

Journal
Journal of Combinatorial Designs
Published
2026-05-21
DOI
https://doi.org/10.1002/jcd.70024
Primary Topic
Limits and Structures in Graph Theory
Type
article
Field-Weighted Citation Impact
0.00
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article

Algebraic Capsets

José Felipe Voloch, Cassie Grace
Journal of Combinatorial Designs
Limits and Structures in Graph Theory
article

Algebraic Capsets

José Felipe Voloch, Cassie Grace
article en

Abstract

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.

Journal of Combinatorial Designs
University of Canterbury (NZ)
Openalex Percentile: Top 2%
Limits and Structures in Graph Theory
DOIOpen Access PDFOpenAlex
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