A researcher named Levent Alpöge has potentially discovered a solution for the smallest open Hadamard case, a 668x668 matrix. He utilized Claude, an AI model, to generate an obfuscated shell script that, when decoded, produced the matrix satisfying the required orthogonal properties. This finding also appears to include constructions for eleven other previously unresolved Hadamard orders below 2000, though independent verification is still needed. AI
IMPACT This discovery could accelerate research in areas relying on Hadamard matrices, potentially impacting fields like error-correcting codes and experimental design.
RANK_REASON The cluster describes a potential mathematical breakthrough presented as a research finding, not a formal publication. [lever_c_demoted from research: ic=1 ai=0.7]
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