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 "distance": {
  "d": 12,
  "X": {
   "value": 12,
   "confidence": "upper_bound",
   "witness": [
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  "Z": {
   "value": 12,
   "confidence": "upper_bound",
   "witness": [
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 },
 "provenance": {
  "authors": [
   "@vprusso"
  ],
  "construction": "Periodic bivariate-bicycle code on Z_14 x Z_10 (n = 2*l*m = 280): x = S_14 tensor I_10, y = I_14 tensor S_10 (cyclic shifts), qubit index i*m + j in each block; A = x^0y^0 + x^8y^0 + x^10y^2, B = x^0y^0 + x^9y^9 + x^13y^6; H_X = [A|B], H_Z = [B^T|A^T] (research/kit/bb.py build_bb(14, 10, [(0, 0), (8, 0), (10, 2)], [(0, 0), (9, 9), (13, 6)])). 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 -> 12, 1000000 trials seed 102 -> 12, 1000000 trials seed 103 -> 12. 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 12, Z 12.",
  "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)"
  }
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