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    249,
    263,
    269,
    282,
    289,
    301,
    309,
    323,
    329
   ],
   [
    245,
    250,
    268,
    270,
    286,
    290,
    309,
    310,
    326,
    330
   ],
   [
    246,
    251,
    269,
    271,
    287,
    291,
    305,
    311,
    329,
    331
   ],
   [
    247,
    252,
    265,
    272,
    288,
    292,
    306,
    312,
    327,
    332
   ],
   [
    248,
    253,
    266,
    273,
    289,
    293,
    307,
    313,
    325,
    333
   ],
   [
    249,
    254,
    267,
    274,
    285,
    294,
    308,
    314,
    328,
    334
   ],
   [
    250,
    255,
    271,
    275,
    292,
    295,
    313,
    315,
    331,
    335
   ],
   [
    251,
    256,
    272,
    276,
    293,
    296,
    314,
    316,
    334,
    336
   ],
   [
    252,
    257,
    273,
    277,
    294,
    297,
    310,
    317,
    332,
    337
   ],
   [
    253,
    258,
    274,
    278,
    290,
    298,
    311,
    318,
    330,
    338
   ]
  ]
 },
 "distance": {
  "d": 4,
  "X": {
   "value": 4,
   "confidence": "upper_bound",
   "witness": [
    0,
    5,
    10,
    15
   ]
  },
  "Z": {
   "value": 4,
   "confidence": "upper_bound",
   "witness": [
    0,
    5,
    10,
    15
   ]
  }
 },
 "provenance": {
  "authors": [
   "@hirobumii"
  ],
  "construction": "G=C5 semidirect C4, index i+5*j, multiplication(i,j)(k,l)=(i+2^j*k mod5,j+l mod4). L_g[t,u]=1 iff u=g*t, R_h[t,u]=1 iff u=t*h. A=[I+L5,I+L6,I+L7,I+L8], B=[I+R5,I+R6,I+R7,I+R8], binary sums. Sixteen 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 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 10, maximum qubit degree 16, 152 checks and total incidence 1520.",
  "model": "GPT-6 Astra + GPT-6.1 Sol (recorded multi-agent configuration)"
 },
 "family": "lifted-product"
}