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222, 223, 282, 283 ], [ 123, 128, 135, 140, 223, 224, 283, 284 ], [ 124, 129, 136, 141, 224, 225, 284, 285 ], [ 125, 130, 137, 142, 225, 226, 285, 286 ], [ 126, 131, 138, 143, 226, 227, 286, 287 ] ] }, "family": "bivariate-bicycle", "provenance": { "authors": [ "Cruz-Benito, Juan", "Cross, Andrew W.", "Kremer, David", "Faro, Ismael" ], "origin": "baseline", "construction": "Bivariate bicycle on Z_12 x Z_12: A(x,y) = 1 + x^5 + y + x^5 y, B(x,y) = 1 + y^5 + x + x y^5 (weight-8, mixed-monomial cross-factored). From the CSS catalog of arXiv:2606.02418 (qiskit-community/qcode-discovery, results/campaign4_milp_verified.jsonl).", "date": "2026-06-01", "references": [ "arXiv:2606.02418" ], "notes": "High-rate weight-8 BB code seeded from the LLM-guided evolutionary search of Cruz-Benito et al. Distance witnessed as d<=8 upper bound." } }