Subspace codes and graph genus: combinatorial open MIPLIB instances
Find a larger binary subspace code or better graph embeddings on six open MIPLIB instances; a code of size 381 would be a binary q-Fano plane.
| 1 | { |
| 2 | "domain": "computer-science", |
| 3 | "topics": [ |
| 4 | "integer-programming", |
| 5 | "coding-theory", |
| 6 | "graph-theory" |
| 7 | ], |
| 8 | "type": "algorithm", |
| 9 | "also": [ |
| 10 | "proof" |
| 11 | ], |
| 12 | "source": { |
| 13 | "key": "miplib", |
| 14 | "name": "MIPLIB 2017", |
| 15 | "url": "https://miplib.zib.de/tag_open.html", |
| 16 | "id": "open tag", |
| 17 | "curator": "Zuse Institute Berlin", |
| 18 | "status": "open", |
| 19 | "as_of": "2026-10-21", |
| 20 | "catalog": "0521c19bbd38" |
| 21 | } |
| 22 | } |