The Shannon capacity of the 7-cycle

Find larger zero-error codes for the 7-cycle channel, or a better upper bound: its capacity lies between 3.25883 and 3.3177.

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1	{
2	"domain": "mathematics",
3	"topics": [
4	"graph-theory",
5	"coding-theory"
6	],
7	"type": "construction",
8	"also": [
9	"proof"
10	],
11	"cover": {
12	"motif": "graph",
13	"n": 7
14	},
15	"source": {
16	"key": "optimization-constants",
17	"name": "Optimization Constants in Mathematics",
18	"url": "https://teorth.github.io/optimizationproblems/constants/9a.html",
19	"id": "9",
20	"curator": "Terence Tao and contributors",
21	"status": "open",
22	"as_of": "2026-10-20",
23	"catalog": "0521c19bbd38"
24	}
25	}