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    "X": [
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     47,
     57,
     60,
     104
    ],
    "Z": [
     21,
     47,
     57,
     83
    ]
   },
   {
    "X": [
     1,
     45,
     48,
     58,
     61,
     105
    ],
    "Z": [
     22,
     48,
     58,
     84
    ]
   },
   {
    "X": [
     2,
     46,
     49,
     59,
     62,
     106
    ],
    "Z": [
     23,
     49,
     59,
     85
    ]
   },
   {
    "X": [
     3,
     47,
     50,
     60,
     63,
     107
    ],
    "Z": [
     24,
     50,
     60,
     86
    ]
   },
   {
    "X": [
     4,
     48,
     51,
     61,
     64,
     108
    ],
    "Z": [
     25,
     51,
     61,
     87
    ]
   },
   {
    "X": [
     5,
     49,
     52,
     62,
     65,
     109
    ],
    "Z": [
     26,
     52,
     62,
     88
    ]
   },
   {
    "X": [
     6,
     50,
     53,
     63,
     66,
     110
    ],
    "Z": [
     27,
     53,
     63,
     89
    ]
   },
   {
    "X": [
     7,
     51,
     54,
     64,
     67,
     111
    ],
    "Z": [
     28,
     54,
     64,
     90
    ]
   },
   {
    "X": [
     8,
     52,
     55,
     65,
     68,
     112
    ],
    "Z": [
     29,
     55,
     65,
     91
    ]
   },
   {
    "X": [
     9,
     53,
     56,
     66,
     69,
     113
    ],
    "Z": [
     30,
     56,
     66,
     92
    ]
   },
   {
    "X": [
     10,
     54,
     57,
     67,
     70,
     114
    ],
    "Z": [
     31,
     57,
     67,
     93
    ]
   },
   {
    "X": [
     11,
     55,
     58,
     68,
     71,
     115
    ],
    "Z": [
     32,
     58,
     68,
     94
    ]
   },
   {
    "X": [
     12,
     56,
     59,
     69,
     72,
     116
    ],
    "Z": [
     33,
     59,
     69,
     95
    ]
   }
  ]
 },
 "distance": {
  "d": 7,
  "P": {
   "value": 7,
   "confidence": "upper_bound",
   "witness": {
    "X": [
     47,
     50,
     107
    ],
    "Z": [
     24,
     37,
     60,
     73
    ]
   }
  }
 },
 "provenance": {
  "authors": [
   "@FarLab"
  ],
  "construction": "One-block cyclic stabilizer code: generator X^a Z^b and its 117 cyclic shifts, a(x) = 1 + x^13 + x^57 + x^60 + x^70 + x^73, b(x) = x^34 + x^60 + x^70 + x^96 in F_2[x]/(x^117 - 1); a = g p, b = g q with p, q palindromic so that a b* + b a* = 0; k = deg gcd(a, b, x^117 - 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_117, 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"
}