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 },
 "distance": {
  "d": 16,
  "X": {
   "value": 16,
   "confidence": "upper_bound",
   "witness": [
    32,
    33,
    48,
    49,
    112,
    113,
    192,
    193,
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    236,
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    256,
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   ]
  },
  "Z": {
   "value": 16,
   "confidence": "upper_bound",
   "witness": [
    196,
    197,
    204,
    205,
    216,
    217,
    228,
    229,
    292,
    293,
    356,
    357,
    372,
    373,
    420,
    421
   ]
  }
 },
 "provenance": {
  "authors": [
   "@MathysRennela"
  ],
  "construction": "Distance-amplified code: one [[4,2,2]] tensor-product amplification step (central three-term truncation of the chain-complex tensor product, arXiv:2609.37231 Eq. 1/Eq. 12-15) applied to the board's [[112,12,8]] entry, using a sparse independent-row presentation of its checks: n' = 4n + m_X + m_Z = 548, k' = 2k = 24, check weight w' = w+1 = 7. X/Z witnesses are the base witnesses tensored with the weight-2 [[4,2,2]] logical on the central register (weights 16/16); a 100000-trial fast-backend search (seed 5000) found nothing lighter (min weight 16). Base provenance: Two-block group-algebra code on the abelian group Z_28 x Z_2 as built by research/kit/group_algebra.py cyclic_product(28, 2) (element tuple (i, j) at index i*2 + j); supports a = [0, 2, 7] (left regular representation) and b = [0, 4, 40] (right regular representation); H_X = [L(a) | R(b)], H_Z = [R(b)^T | L(a)^T] (research/kit/group_algebra.py build_2bga).",
  "references": [
   "arXiv:2609.37231"
  ],
  "date": "2026-09-30",
  "notes": "Constructed and packaged with the Space Bunny Alpha 1.0 model.",
  "model": "Space Bunny Alpha 1.0"
 },
 "family": "distance-amplified"
}