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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.
| 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 | } |