{
 "schema_version": "0.1",
 "name": "[[96,4,12]] twisted-torus BB code (arXiv:2503.03827)",
 "code_type": "CSS",
 "n": 96,
 "k": 4,
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  "d": 12,
  "X": {
   "value": 12,
   "confidence": "upper_bound",
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 "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^-2y, g(x,y)=1+y+xy^-2 on the abelian quotient group Z^2/L with twist basis a_1=[0, 12], a_2=[4, 2] (n=2|det[a_1,a_2]|=2*48). 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"
}