Math 2.0

Concept

Cap set

Summary

In affine geometry, a cap set is a subset of the affine space ℤ3n\mathbb{Z}_3^n (the nn-dimensional affine space over the three-element field) where no three elements sum to the zero vector. The cap set problem is the problem of finding the size of the largest possible cap set, as a function of nn. The first few cap set sizes are 1, 2, 4, 9, 20, 45, 112, ... .

Further reading

  1. Wikipedia, page 51223601, revision 1367780306, Cap set. adopted
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Aliasesexponential-bound-on-capsets
Kindconcept
WritingW1 stated
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Changed4 November 2026

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