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    412,
    424,
    427,
    429,
    433,
    438
   ],
   [
    319,
    329,
    335,
    357,
    358,
    359,
    360,
    361,
    376,
    378,
    382,
    385,
    387,
    399,
    400,
    402,
    408,
    413,
    425,
    428,
    430,
    434,
    439
   ],
   [
    320,
    330,
    336,
    358,
    359,
    360,
    361,
    362,
    377,
    379,
    383,
    386,
    388,
    400,
    401,
    403,
    409,
    414,
    426,
    429,
    431,
    435,
    440
   ],
   [
    321,
    331,
    337,
    359,
    360,
    361,
    362,
    363,
    378,
    380,
    384,
    387,
    389,
    401,
    402,
    404,
    410,
    415,
    427,
    430,
    432,
    436,
    441
   ]
  ]
 },
 "distance": {
  "d": 8,
  "X": {
   "value": 8,
   "confidence": "upper_bound",
   "witness": [
    104,
    105,
    106,
    107,
    108,
    130,
    136,
    146
   ]
  },
  "Z": {
   "value": 8,
   "confidence": "upper_bound",
   "witness": [
    26,
    48,
    49,
    50,
    51,
    130,
    143,
    149
   ]
  }
 },
 "provenance": {
  "authors": [
   "@hirobumii"
  ],
  "construction": "G=C26, addition modulo26. A and B are1x4 rows with respective entry supports[[0, 7, 13], [0, 1, 2, 3, 4], [0, 3, 6, 8, 9], [0, 5, 9, 11, 14]] and[[0, 6, 16], [0, 1, 2, 3, 4], [0, 2, 5, 9, 11], [0, 5, 11, 13, 14]]. Each entry is the binary sum of its cyclic permutation matrices. Sixteen VV(k,j) blocks indexed4*k+j precede one CC block, allsize26. X(j,r) places A(k) on VV(k,j), with column r+g, and B(j) on CC. Z(k,r) places B(j)^T on VV(k,j), with column r-g, and A(k)^T on CC. All104 original rows per sector are independent and retained.",
  "references": [
   "https://arxiv.org/abs/2111.03654",
   "https://arxiv.org/abs/2607.28795"
  ],
  "date": "2026-10-18",
  "notes": "Displayed presentation: maximum check weight 23, maximum qubit degree 36, 208 checks and total incidence 4680.",
  "model": "GPT-6 Astra + GPT-6.1 Sol (recorded multi-agent configuration)"
 },
 "family": "lifted-product"
}