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   ],
   [
    10,
    101,
    107,
    121,
    214,
    219
   ],
   [
    12,
    103,
    108,
    216,
    220,
    222
   ],
   [
    32,
    105,
    109,
    124,
    218,
    221
   ],
   [
    15,
    106,
    110,
    125,
    219,
    222
   ],
   [
    21,
    109,
    111,
    130,
    222,
    223
   ]
  ]
 },
 "distance": {
  "d": 20,
  "X": {
   "value": 20,
   "confidence": "upper_bound",
   "witness": [
    4,
    7,
    23,
    33,
    39,
    55,
    64,
    74,
    89,
    96,
    120,
    138,
    139,
    161,
    174,
    180,
    197,
    201,
    207,
    213
   ]
  },
  "Z": {
   "value": 20,
   "confidence": "upper_bound",
   "witness": [
    14,
    17,
    21,
    84,
    85,
    88,
    89,
    90,
    93,
    109,
    134,
    141,
    148,
    155,
    166,
    180,
    194,
    197,
    202,
    206
   ]
  }
 },
 "provenance": {
  "authors": [
   "Zijian Liang",
   "Ke Liu",
   "Hao Song",
   "Yu-An Chen"
  ],
  "construction": "Twisted-torus bivariate-bicycle code from Generalized toric codes on twisted tori for quantum error correction (PRX Quantum 6, 020357, 2025). Stabilizers f(x,y)=1+x+x^-3y^2, g(x,y)=1+y+x^-3y^-1 on the abelian quotient group Z^2/L with twist basis a_1=[0, 28], a_2=[4, -6] (n=2|det[a_1,a_2]|=2*112). Reconstructed from the published polynomials and twist; CSS form H_X=[f|g], H_Z=[gbar|fbar].",
  "references": [
   "arXiv:2503.03827"
  ],
  "date": "2025",
  "notes": "Reconstructed baseline from Liang, Liu, Song, Chen, Generalized toric codes on twisted tori for quantum error correction (PRX Quantum 6, 020357, 2025), arXiv:2503.03827. The [[n,k,d]] parameter set and stabilizer polynomials are published in that paper; this entry reproduces them. Distance is an upper bound per the paper (probabilistic for d>20); the witness is the surrogate logical of that weight. Seeded to fill a board coverage gap at this block size, not a discovery.",
  "origin": "baseline",
  "novelty": "known_parameters"
 },
 "family": "bivariate-bicycle"
}