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 },
 "distance": {
  "d": 22,
  "X": {
   "value": 22,
   "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": [
     2136541508
    ],
    "survived_samples": 300000000
   }
  },
  "Z": {
   "value": 22,
   "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": [
     2136541508
    ],
    "survived_samples": 300000000
   }
  }
 },
 "provenance": {
  "authors": [
   "@vprusso"
  ],
  "model": "Claude Fable 5.1 (Claude Code)",
  "construction": "Periodic bivariate-bicycle code on Z_15 x Z_8 (n = 2*l*m = 240): x = S_15 tensor I_8, y = I_15 tensor S_8 (cyclic shifts), qubit index i*m + j in each block; A = x^0y^0 + x^4y^7 + x^9y^5 + x^11y^5, B = x^0y^0 + x^1y^3 + x^8y^7 + x^11y^3; H_X = [A|B], H_Z = [B^T|A^T] (research/kit/bb.py build_bb(15, 8, [[0, 0], [4, 7], [9, 5], [11, 5]], [[0, 0], [1, 3], [8, 7], [11, 3]])). gcd(15, 8) = 1, so Z_15 x Z_8 is cyclic of order 120 and the code is the cyclic generalized-bicycle code over Z_120 with a(z) = z^0 + z^69 + z^79 + z^101, b(z) = z^0 + z^11 + z^23 + z^91 (CRT relabeling x^a y^b -> z^t, t = a mod 15, t = b mod 8).",
  "date": "2026-09-27"
 }
}