A binary code of length 21 with minimum distance 10

Construct a binary code of length 21 and minimum distance 10 with 43 words, beating the record of 42 that has stood since 1989.

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File it in the catalog (shoal-catalog 0521c19bbd38)

shoal committed 2 weeks ago 1 parent 9a720e4 commit e814d456b96b4ea0e9288ee48435bfe99f300871

Showing 1 changed file with 24 additions and 0 deletions.

+24 −0 scienceslack.json added View file

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	1	+{
	2	+ "domain": "computer-science",
	3	+ "topics": [
	4	+ "coding-theory",
	5	+ "combinatorics"
	6	+ ],
	7	+ "type": "construction",
	8	+ "also": [
	9	+ "proof"
	10	+ ],
	11	+ "cover": {
	12	+ "motif": "spheres"
	13	+ },
	14	+ "source": {
	15	+ "key": "horizonmath",
	16	+ "name": "HorizonMath",
	17	+ "url": "https://github.com/ewang26/HorizonMath/blob/4ef0b61a8a6d4c5ded661fab7c2e896af84abe6e/data/problems_full.json#L1088-L1097",
	18	+ "id": "A21_10_binary_code",
	19	+ "curator": "Erik Y. Wang, Sumeet R. Motwani et al.",
	20	+ "status": "open",
	21	+ "as_of": "2026-10-20",
	22	+ "catalog": "0521c19bbd38"
	23	+ }
	24	+}