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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": { | |
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| 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", | |
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| 24 | + } | |
| 25 | +} | |