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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.

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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 "review": true,
23 "approval": "first-time"
24}