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    382,
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    396,
    398,
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    405,
    410,
    412,
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    475,
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    529,
    531,
    536,
    538,
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    545,
    550,
    552,
    557,
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    564,
    566,
    571,
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    578,
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    585,
    587,
    592,
    594,
    599,
    601,
    606,
    608,
    613,
    615,
    620,
    622,
    627,
    629
   ]
  }
 },
 "provenance": {
  "authors": [
   "@vprusso"
  ],
  "construction": "Cyclic generalized-bicycle code on the ring x^315 - 1 with a(x) = x^5 + x^22 + x^40 + x^45 + x^50 + x^75 + x^85 + x^105 + x^106 + x^110 + x^111 + x^133 + x^138 + x^151 + x^162 + x^164 + x^195 + x^216 + x^246 + x^262 + x^288 + x^303 + x^308, b(x) = x^3 + x^51 + x^120 + x^126 + x^144 + x^147 + x^251 + x^280 + x^285; H_X = [circ(a) | circ(b)], H_Z = [circ(b)^T | circ(a)^T].",
  "origin": "submission",
  "novelty": "known_parameters",
  "model": "Claude Opus 5",
  "date": "2026-09-25",
  "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"
}