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Algebraic Capsets

delete2026-05-01
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PRE
AI
G
Grace, Cassie
J
José Felipe Voloch *
DOI：10.1002/jcd.70024delete
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Abstract

Abstract

En 中文
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:
affine spaces
capsets
finite fields

Journal

J
Journal of Combinatorial Designs
IF:
0.8
Papers:
29
Citations:
0

Organization

U
University of Canterbury
Scholars:
155
Papers: 87
Citations: 0
Cited Papers

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No cited papers available