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    193,
    256,
    333,
    335,
    421,
    665
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   [
    194,
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    334,
    336,
    422,
    666
   ],
   [
    195,
    258,
    335,
    337,
    423,
    667
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   [
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    259,
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    424,
    668
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    425,
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   [
    0,
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    261,
    426,
    670
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   [
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    262,
    427,
    671
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   [
    2,
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    200,
    263,
    428,
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   [
    3,
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    264,
    429,
    673
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   [
    4,
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    265,
    430,
    674
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   [
    5,
    7,
    203,
    266,
    431,
    675
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   [
    6,
    8,
    204,
    267,
    338,
    432
   ]
  ]
 },
 "distance": {
  "d": 39,
  "X": {
   "value": 39,
   "confidence": "upper_bound",
   "witness": [
    31,
    96,
    108,
    173,
    187,
    192,
    236,
    240,
    250,
    271,
    273,
    292,
    361,
    369,
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    436,
    438,
    463,
    464,
    472,
    478,
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    557,
    558,
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    572,
    596,
    613,
    618,
    624,
    651,
    652,
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   ]
  },
  "Z": {
   "value": 39,
   "confidence": "upper_bound",
   "witness": [
    12,
    24,
    25,
    52,
    58,
    63,
    80,
    104,
    110,
    118,
    119,
    146,
    154,
    174,
    198,
    204,
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    238,
    240,
    268,
    269,
    271,
    298,
    302,
    307,
    315,
    384,
    403,
    405,
    426,
    436,
    440,
    484,
    489,
    503,
    568,
    580,
    645
   ]
  }
 },
 "provenance": {
  "authors": [
   "@vprusso"
  ],
  "construction": "Cyclic generalized-bicycle code on the ring x^338 - 1 with a(x) = x^243 + x^337, b(x) = x^70 + x^133 + x^329 + x^331; 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"
}