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    204
   ]
  },
  "Z": {
   "value": 14,
   "confidence": "upper_bound",
   "witness": [
    6,
    13,
    17,
    22,
    31,
    50,
    55,
    63,
    74,
    83,
    114,
    139,
    149,
    173
   ]
  }
 },
 "provenance": {
  "authors": [
   "@vprusso"
  ],
  "construction": "Periodic bivariate-bicycle code on Z_12 x Z_9 (n = 2*l*m = 216): x = S_12 tensor I_9, y = I_12 tensor S_9 (cyclic shifts), qubit index i*m + j in each block; A = x^0y^0 + x^1y^0 + x^8y^3, B = x^0y^0 + x^0y^2 + x^9y^4; H_X = [A|B], H_Z = [B^T|A^T] (research/kit/bb.py build_bb(12, 9, [(0, 0), (1, 0), (8, 3)], [(0, 0), (0, 2), (9, 4)])). Layout: simulated annealing of the qubit-to-site assignment on a unit-spaced triangular grid with two layers (at most two qubits per site, research/local2d/fold_layout.py anneal), measured interaction radius 7.0000.",
  "origin": "submission",
  "date": "2026-09-22",
  "model": "Claude Fable 5.1",
  "notes": "Found by a random trinomial-pair sweep over tori Z_l x Z_m with 100 <= n <= 360 aimed at the weight-6 x local-2d-bilayer cell. Distance is a witness-backed upper bound; RIS ladder (verify/gf2_fast.cpp, pair depth 8): 200000 trials seed 101 -> 14, 1000000 trials seed 102 -> 14, 1000000 trials seed 103 -> 14. Advances the weight-6 x local-2d-bilayer board; novelty vs the literature unverified. GPU RIS pass (verify/ris_gpu.py, 300,000,000 trials per side, seed 2026): lightest logical X 14, Z 14.",
  "search_budget": {
   "candidates_screened": 29988,
   "ris_trials_per_side": 300000000,
   "wall_clock_hours": 1.0,
   "tool": "research/kit search funnel, gf2_fast RIS, verify/ris_gpu (A40)"
  }
 },
 "family": "bivariate-bicycle",
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