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	+}