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 "distance": {
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  "P": {
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 "provenance": {
  "authors": [
   "@FarLab"
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  "construction": "One-block cyclic stabilizer code: generator X^a Z^b and its 57 cyclic shifts, a(x) = x^25 + x^26 + x^31 + x^32, b(x) = x^16 + x^26 + x^31 + x^41 in F_2[x]/(x^57 - 1); a = g p, b = g q with p, q palindromic so that a b* + b a* = 0; k = deg gcd(a, b, x^57 - 1)",
  "origin": "submission",
  "date": "2026-10-01",
  "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_57, 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 (dropped 10->9). 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"
}