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Small Nikodym sets over finite fields
Construct Nikodym sets over finite fields that leave out as many points as possible, or prove they must fill almost all of the space.
| 1 | { |
| 2 | "domain": "mathematics", |
| 3 | "topics": [ |
| 4 | "combinatorics" |
| 5 | ], |
| 6 | "type": "construction", |
| 7 | "also": [ |
| 8 | "proof" |
| 9 | ], |
| 10 | "source": { |
| 11 | "key": "alphaevolve", |
| 12 | "name": "AlphaEvolve Repository of Problems", |
| 13 | "url": "https://google-deepmind.github.io/alphaevolve_repository_of_problems/problems/1.html", |
| 14 | "id": "1", |
| 15 | "curator": "Google DeepMind", |
| 16 | "status": "open", |
| 17 | "as_of": "2026-10-20", |
| 18 | "catalog": "0521c19bbd38" |
| 19 | } |
| 20 | } |