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  "d": 4,
  "X": {
   "value": 4,
   "confidence": "upper_bound",
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 "provenance": {
  "authors": [
   "@mathysrennela"
  ],
  "construction": "Cornucopia code (Lu, Li & Deng, arXiv:2608.02773; block-convolutional CSS construction with the check matrices given in the Methods of arXiv:2610.19073): q=6, n=36q=216 data qubits in twelve 3x6 tiles L0..L5,R0..R5 plus nine 3x6 X-check and nine 3x6 Z-check tiles; HX=[A_(j-i)|B_(j-i)], HZ=[B^-1_(i-j)|A^-1_(i-j)] with the coordinate permutations A_p,B_p:(r,c)|->(rho(p,r),c+s[p]) on Z_3 x Z_6, row maps rho_A(0)=r+1, rho_A(1)=2r+2, rho_B(2)=r+1, rho_B(3)=2r+2 (identity otherwise), and column shifts sA=[4, 4, 3, 3, 0, 3], sB=[2, 0, 3, 1, 4, 3]. These shifts were found by a random shift search; the paper publishes instances only at q=7,16,25,29,49,64,79. Weight-12 checks, k=18q+4=112.",
  "origin": "submission",
  "date": "2026-10-15",
  "model": "MiMo-V2.6-Flash",
  "search_budget": {
   "candidates_screened": 1200,
   "ris_trials_per_side": 100000,
   "tool": "OpenCode agent, MiMo-V2.6-Flash",
   "notes": "uniform random shift search, 3-stage RIS ladder (100/4000/100000 trials), see research note"
  },
  "references": [
   "arXiv:2608.02773",
   "arXiv:2610.19073"
  ]
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 "family": "other"
}