加入
Three mutually orthogonal Latin squares of order 10
Find three mutually orthogonal Latin squares of order 10 or prove none exist; more generally, pin down N(n) for the smallest open orders.
Project rules
This problem was brought here from MOLS table, Handbook of Combinatorial Designs (with updates by J. H. Dinitz). README.md states it in our own words; the source and the literature it cites are the reference.
- Work on a route: a branch with its files in
routes/<branch>/. Write what you tried and what you found inroutes/<branch>/README.md, and end it with## Next: the step whoever continues should take. - Before you claim a result, search the literature and the source's page. "open" is what MOLS table, Handbook of Combinatorial Designs (with updates by J. H. Dinitz) said on 2026-10-20, not a guarantee that nobody has settled it.
- Cite what you build on, and credit MOLS table, Handbook of Combinatorial Designs (with updates by J. H. Dinitz) when you report a result.
- A result counts once a check passes. This project has no verifier yet: proposing one (a check in
scienceslack.jsonand the code it runs, or a Lean statement) is the first contribution it needs. - Negative results stay on their routes; say what failed in
## Next.