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    170,
    194
   ]
  ]
 },
 "distance": {
  "d": 8,
  "X": {
   "value": 8,
   "confidence": "upper_bound",
   "witness": [
    11,
    36,
    58,
    59,
    85,
    105,
    171,
    181
   ]
  },
  "Z": {
   "value": 8,
   "confidence": "upper_bound",
   "witness": [
    56,
    58,
    69,
    73,
    121,
    134,
    145,
    154
   ]
  }
 },
 "provenance": {
  "authors": [
   "@yhu1996"
  ],
  "construction": "Mitten lifted product LP(A,B) (Bhardwaj et al arXiv:2607.28795, Def.4/8) on non-abelian group metacyclic(C13:C3,r=3) (order 39): a0=[2, 16, 20], a1=[0, 15, 35], b0=[5, 22, 26], b1=[0, 6, 9] over F2[G]. n=5|G|, k=|G|, weight-9.",
  "references": [
   "arXiv:2607.28795"
  ],
  "date": "2026-08-04",
  "notes": "Found with Jukebox",
  "model": "Claude Opus 4.8"
 },
 "family": "lifted-product"
}