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    254,
    255
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   [
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    320,
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   [
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    322,
    323,
    330,
    331
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   [
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    324,
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    332,
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   [
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    335
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   [
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    342,
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   [
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    448,
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    450,
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   [
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   [
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    476,
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   ],
   [
    406,
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    414,
    415,
    470,
    471,
    478,
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   ],
   [
    416,
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    424,
    425,
    480,
    481,
    488,
    489
   ],
   [
    418,
    419,
    426,
    427,
    482,
    483,
    490,
    491
   ],
   [
    420,
    421,
    428,
    429,
    484,
    485,
    492,
    493
   ],
   [
    422,
    423,
    430,
    431,
    486,
    487,
    494,
    495
   ],
   [
    432,
    433,
    440,
    441,
    496,
    497,
    504,
    505
   ],
   [
    434,
    435,
    442,
    443,
    498,
    499,
    506,
    507
   ],
   [
    436,
    437,
    444,
    445,
    500,
    501,
    508,
    509
   ],
   [
    438,
    439,
    446,
    447,
    502,
    503,
    510,
    511
   ]
  ]
 },
 "distance": {
  "d": 8,
  "X": {
   "value": 8,
   "confidence": "upper_bound",
   "witness": [
    282,
    283,
    314,
    315,
    392,
    393,
    424,
    425
   ]
  },
  "Z": {
   "value": 8,
   "confidence": "upper_bound",
   "witness": [
    10,
    15,
    50,
    55,
    266,
    271,
    306,
    311
   ]
  }
 },
 "provenance": {
  "authors": [
   "@MathysRennela"
  ],
  "construction": "Single-parity-check 3-fold product code, matrices as printed in arXiv:2505.06157 Sec. III-C (attributed there to its Ref. 18): H_X = [h^3 x I^6 ; I^3 x h^3 x I^3 ; I^6 x h^3], H_Z = [h x I^2 x h x I^2 x h x I^2 ; I x h x I^2 x h x I^2 x h x I ; I^2 x h x I^2 x h x I^2 x h], all Kronecker products with h=(1 1), I=I_2. Rebuilt from those matrices: n=512, k=174, uniform row weight 8.",
  "origin": "submission",
  "date": "2026-10-07",
  "model": "Space Bunny Alpha 1.0"
 },
 "family": "other"
}