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    70,
    80,
    91,
    101,
    112,
    122,
    133,
    143,
    154,
    164,
    175,
    185,
    196,
    206,
    212,
    227,
    233,
    248,
    254,
    269,
    275,
    290,
    296,
    311,
    317,
    332,
    338,
    353,
    359,
    374,
    380,
    395,
    401,
    416
   ]
  },
  "Z": {
   "value": 40,
   "confidence": "upper_bound",
   "witness": [
    4,
    19,
    25,
    40,
    46,
    61,
    67,
    82,
    88,
    103,
    109,
    124,
    130,
    145,
    151,
    166,
    172,
    187,
    193,
    208,
    214,
    224,
    235,
    245,
    256,
    266,
    277,
    287,
    298,
    308,
    319,
    329,
    340,
    350,
    361,
    371,
    382,
    392,
    403,
    413
   ]
  }
 },
 "provenance": {
  "authors": [
   "@vprusso"
  ],
  "model": "Claude Opus 5",
  "novelty": "known_parameters",
  "construction": "Cyclic generalized-bicycle code on the ring x^210-1 with a(x) = x^25+x^26+x^43+x^45+x^49+x^51+x^77+x^105+x^146, b(x) = x^12+x^54+x^89+x^99+x^118+x^121+x^136+x^161+x^200; H_X = [circ(a) | circ(b)], H_Z = [circ(b)^T | circ(a)^T].",
  "origin": "submission",
  "date": "2026-10-11",
  "notes": "Cyclic generalized-bicycle code from a randomized sweep of sparse polynomial pairs. Checked against the live board: undominated in its cell."
 },
 "family": "generalized-bicycle"
}