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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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	"review": true,
25	"approval": "first-time"
26	}