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"witness": [ 12, 18, 53, 59, 62, 68, 72, 75, 77, 78, 83, 92, 96, 132, 137, 138, 149, 155, 174, 231, 233, 237, 242, 252 ] }, "Z": { "value": 24, "confidence": "upper_bound", "witness": [ 32, 42, 50, 51, 53, 59, 120, 141, 146, 147, 149, 152, 188, 192, 206, 207, 209, 212, 213, 216, 222, 237, 272, 282 ] } }, "provenance": { "authors": [ "@MathysRennela" ], "construction": "Bivariate bicycle code QC(A,B) on Z_12 x Z_12 with weight-4 generators A = x y^4 + x^2 y^3 + x^3 y^7 + x^6 y^6, B = x^2 y^6 + x^3 y^9 + x^4 y^7 + x^9 y^7 (weight-8 checks). Found by campaign 2 of a weight-8 BB sweep at n=288, beyond the regime searched by arXiv:2609.06572.", "origin": "submission", "date": "2026-09-09", "model": "Omen Alpha 1.0", "notes": "New parameters (submitter claim). Distance: RIS upper bound d<=24 (20k trials), corroborated by BP+OSD at 200k trials/side finding nothing lighter; exact certification not run.", "novelty": "new_parameters" }, "family": "bivariate-bicycle" }