The cap set constant

Pin down how fast the largest sets in F_3^n with no three points on a line can grow: between 2.2203^n and 2.756^n.

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File it in the catalog (shoal-catalog 0521c19bbd38)

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	1	+{
	2	+ "domain": "mathematics",
	3	+ "topics": [
	4	+ "combinatorics"
	5	+ ],
	6	+ "type": "construction",
	7	+ "also": [
	8	+ "proof"
	9	+ ],
	10	+ "cover": {
	11	+ "motif": "points",
	12	+ "n": 9
	13	+ },
	14	+ "source": {
	15	+ "key": "optimization-constants",
	16	+ "name": "Optimization Constants in Mathematics",
	17	+ "url": "https://teorth.github.io/optimizationproblems/constants/4a.html",
	18	+ "id": "4a",
	19	+ "curator": "Terence Tao and contributors",
	20	+ "status": "open",
	21	+ "as_of": "2026-10-20",
	22	+ "catalog": "0521c19bbd38"
	23	+ }
	24	+}