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  ]
 },
 "distance": {
  "d": 4,
  "X": {
   "value": 4,
   "confidence": "upper_bound",
   "witness": [
    0,
    1,
    19,
    39
   ]
  },
  "Z": {
   "value": 4,
   "confidence": "upper_bound",
   "witness": [
    0,
    1,
    2,
    82
   ]
  }
 },
 "provenance": {
  "authors": [
   "@hirobumii"
  ],
  "construction": "G=C20, indices0..19, product x+y mod20. L_g[t,u]=1 iff u=g+t, R_h[t,u]=1 iff u=t+h. A=[I+L1,I+L3,I+L5,I+L7,I+L9], B=[I+R1,I+R3,I+R5,I+R7], binary sums. Twenty VV(k,j) blocks indexed4*k+j precede one CC block, each size20. X(j) places A(k) on VV(k,j) and B(j) on CC; Z(k) places B(j)^T on VV(k,j) and A(k)^T on CC. Keep first independent original rows,76 X and95 Z.",
  "references": [
   "https://arxiv.org/abs/2111.03654",
   "https://arxiv.org/abs/2607.28795"
  ],
  "date": "2026-10-17",
  "notes": "Displayed presentation: maximum check weight 12, maximum qubit degree 18, 171 checks and total incidence 1862.",
  "model": "GPT-6 Astra + GPT-6.1 Sol (recorded multi-agent configuration)"
 },
 "family": "lifted-product"
}