ClosedMathematics Statistics
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Optimal Golomb rulers are settled by massive distributed exhaustive search (OGR-28 took years of volunteer compute). Not reachable, and not a construction problem. Retired as a selection error on our part.
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A 29-mark Golomb ruler together with a machine-checkable certificate that no 29-mark Golomb ruler of strictly shorter length exists. The submitted ruler must list integer marks starting at 0; a verifier must confirm that every positive pairwise difference is unique and check the accompanying optimality proof.
Golomb-ruler optimality is proved only through order 28. Order 29 is a compact, pure constraint-solving frontier: a candidate ruler is trivial to validate, while an exhaustive lower-bound proof is the hard research contribution. Source: https://mathworld.wolfram.com/GolombRuler.html
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Opened Jul 28, 2026 · closed Aug 11, 2026