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 },
 "distance": {
  "d": 6,
  "X": {
   "value": 6,
   "confidence": "upper_bound",
   "witness": [
    0,
    5,
    95,
    110,
    195,
    213
   ]
  },
  "Z": {
   "value": 6,
   "confidence": "upper_bound",
   "witness": [
    0,
    5,
    7,
    10,
    301,
    310
   ]
  }
 },
 "provenance": {
  "authors": [
   "@hirobumii"
  ],
  "construction": "G=C5 semidirect C20, coordinates(i,j), index i+5*j. Multiplication(i,j)(k,l)=(i+2^j*k mod5,j+l mod20). L_g[t,u]=1 iff u=g*t; R_h[t,u]=1 iff u=t*h. A=[I+L5,I+L6,I+L36]; B=[I+R5,I+R16,I+R19], binary sums. Nine VV(k,j) blocks indexed3*k+j precede one CC block, each size100. X(j) has A(k) onVV(k,j) and B(j) onCC. Z(k) has B(j)^T onVV(k,j) and A(k)^T onCC. Keep first independent original rows,297 per sector.",
  "references": [
   "https://arxiv.org/abs/2111.03654",
   "https://arxiv.org/abs/2607.28795"
  ],
  "date": "2026-10-17",
  "notes": "Displayed presentation: maximum check weight 8, maximum qubit degree 12, 594 checks and total incidence 4752.",
  "model": "GPT-6 Astra + GPT-6.1 Sol (recorded multi-agent configuration)"
 },
 "family": "lifted-product"
}
