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    ],
    "Z": [
     38,
     46,
     71,
     79
    ]
   },
   {
    "X": [
     53,
     55,
     64,
     66
    ],
    "Z": [
     39,
     47,
     72,
     80
    ]
   }
  ]
 },
 "distance": {
  "d": 8,
  "P": {
   "value": 8,
   "confidence": "upper_bound",
   "witness": {
    "X": [
     51,
     53,
     59,
     61
    ],
    "Z": [
     37,
     48,
     53,
     59,
     64,
     75
    ]
   }
  }
 },
 "provenance": {
  "authors": [
   "@FarLab"
  ],
  "construction": "One-block cyclic stabilizer code: generator X^a Z^b and its 121 cyclic shifts, a(x) = x^54 + x^56 + x^65 + x^67, b(x) = x^40 + x^48 + x^73 + x^81 in F_2[x]/(x^121 - 1); a = g p, b = g q with p, q palindromic so that a b* + b a* = 0; k = deg gcd(a, b, x^121 - 1)",
  "origin": "submission",
  "date": "2026-09-30",
  "model": "Claude Fable 5.1",
  "notes": "Found by a sweep of one-block palindromic cyclic codes (Camara-Ollivier-Tillich-type group-algebra code over Z_121, arXiv:quant-ph/0502086), n = 17..200, weight <= 8. Distance ladder: 300-trial Pauli-weight RIS screen, then 2 x 20,000 trials on fresh seeds (held). Novelty unknown: not checked against codetables.de; the dedup gate found no exact, WL-equivalent or Hadamard-image board entry. Genuinely non-CSS: a and b overlap, so every generator carries Y.",
  "references": [
   "arXiv:quant-ph/0502086"
  ],
  "novelty": "unknown"
 },
 "family": "other"
}