The Problems

Not schoolwork — the questions that resisted Erdős, Hilbert, and everyone since. The club keeps three shelves: what is still open, what AI recently settled, and what took humanity centuries.

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The MDS Conjecture open

How long can an optimal error-correcting code be? The MDS conjecture caps q-ary codes at length q+1 — proved for prime alphabets, open in general.

· coding theory / combinatorics · difficulty 4/5

coding-theory