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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.
+24 −0 scienceslack.json 新增 查看文件
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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 | +} | |