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   [
    20,
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   [
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   [
    23,
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   [
    24,
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   [
    25,
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   [
    26,
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    27,
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   [
    28,
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   [
    29,
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   [
    30,
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   [
    31,
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    35,
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   [
    36,
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  ]
 },
 "distance": {
  "d": 22,
  "X": {
   "value": 22,
   "confidence": "upper_bound",
   "witness": [
    11,
    33,
    45,
    67,
    79,
    101,
    123,
    167,
    179,
    191,
    225,
    235,
    274,
    497,
    499,
    506,
    508,
    515,
    517,
    524,
    526,
    535
   ]
  },
  "Z": {
   "value": 22,
   "confidence": "upper_bound",
   "witness": [
    5,
    14,
    16,
    23,
    25,
    32,
    34,
    41,
    43,
    266,
    305,
    315,
    349,
    361,
    373,
    417,
    439,
    461,
    473,
    495,
    507,
    529
   ]
  }
 },
 "provenance": {
  "authors": [
   "@vprusso"
  ],
  "construction": "Cyclic generalized-bicycle code on the ring x^270 - 1 with a(x) = x^49 + x^58, b(x) = x^109 + x^165 + x^233; H_X = [circ(a) | circ(b)], H_Z = [circ(b)^T | circ(a)^T].",
  "origin": "submission",
  "novelty": "known_parameters",
  "model": "Claude Opus 5",
  "date": "2026-09-21",
  "notes": "Found by a randomized sweep over sparse polynomial pairs, screened against the live board before any expensive work. Checked for single-block logicals via the ideal generated by (x^m - 1)/gcd(a, x^m - 1) before the distance was believed."
 },
 "family": "generalized-bicycle"
}
