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 },
 "distance": {
  "d": 32,
  "X": {
   "value": 32,
   "confidence": "upper_bound",
   "witness": [
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   "witness_provenance": {
    "found_by": [
     "@vprusso"
    ],
    "date": "2026-09-27",
    "found_at_samples": 300000000,
    "tool": "verify/ris_gpu.py (build/ris_gpu, NVIDIA A40)",
    "seeds": [
     1761840721
    ],
    "survived_samples": 300000000
   }
  },
  "Z": {
   "value": 32,
   "confidence": "upper_bound",
   "witness": [
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   "witness_provenance": {
    "found_by": [
     "@vprusso"
    ],
    "date": "2026-09-27",
    "found_at_samples": 300000000,
    "tool": "verify/ris_gpu.py (build/ris_gpu, NVIDIA A40)",
    "seeds": [
     1761840721
    ],
    "survived_samples": 300000000
   }
  }
 },
 "provenance": {
  "authors": [
   "@vprusso"
  ],
  "model": "Claude Fable 5.1 (Claude Code)",
  "construction": "Periodic bivariate-bicycle code on Z_14 x Z_13 (n = 2*l*m = 364): x = S_14 tensor I_13, y = I_14 tensor S_13 (cyclic shifts), qubit index i*m + j in each block; A = x^0y^0 + x^10y^8 + x^11y^8 + x^12y^12, B = x^0y^0 + x^8y^6 + x^10y^11 + x^13y^4; H_X = [A|B], H_Z = [B^T|A^T] (research/kit/bb.py build_bb(14, 13, [[0, 0], [10, 8], [11, 8], [12, 12]], [[0, 0], [8, 6], [10, 11], [13, 4]])). gcd(14, 13) = 1, so Z_14 x Z_13 is cyclic of order 182 and the code is the cyclic generalized-bicycle code over Z_182 with a(z) = z^0 + z^12 + z^151 + z^164, b(z) = z^0 + z^24 + z^69 + z^162 (CRT relabeling x^a y^b -> z^t, t = a mod 14, t = b mod 13).",
  "date": "2026-09-27"
 }
}
