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"witness_provenance": { "found_by": [ "@vprusso" ], "date": "2026-09-21", "found_at_samples": 300000000, "survived_samples": 300000000, "tool": "ris_gpu", "seeds": [ 2031 ] } }, "d": 82 }, "family": "generalized-bicycle", "k": 140, "n": 682, "name": "[[682,140,82]]", "provenance": { "authors": [ "@DennisWayo" ], "construction": "Cyclic generalized-bicycle code over Z_341; divisor ideal degree 70 from x^341+1 over GF(2); divisor_poly=0x725946e001e3c38d9d; a=[0, 1, 11, 15, 22, 32, 110, 132, 139, 170, 176, 187, 264, 308, 325]; b=[42, 82, 87, 97, 116, 155, 157, 170, 178, 217, 244, 257, 267, 283, 300]; H_X=[circ(a)|circ(b)], H_Z=[circ(b)^T|circ(a)^T].", "date": "2026-09-10", "model": "OpenAI Codex (GPT-5)", "notes": "Cyclic-ideal generalized-bicycle candidate from a structural/full-kernel attack harness. Distance is a witness-backed upper bound, not an exact-distance claim. An earlier d<=88 draft was refuted by the challenge RIS-fast gate with a valid X logical of weight 86; this revision records that lighter witness and claims d<=86. The adjusted kd^2/n score is 1518.240.", "novelty": "unknown", "origin": "submission", "references": [] }, "schema_version": "0.2" }