{
 "schema_version": "0.2",
 "name": "[[48,17,4]]",
 "code_type": "CSS",
 "n": 48,
 "k": 17,
 "checks": {
  "X": [
   [
    0,
    2,
    6,
    10,
    13,
    23,
    28,
    46,
    47
   ],
   [
    1,
    5,
    9,
    12,
    22,
    27,
    45,
    46,
    47
   ],
   [
    3,
    4,
    6,
    7,
    14,
    18,
    21,
    26,
    29,
    41,
    42,
    43,
    44,
    46,
    47
   ],
   [
    3,
    8,
    10,
    20,
    25,
    43,
    44,
    45,
    47
   ],
   [
    0,
    3,
    6,
    7,
    8,
    9,
    12,
    13,
    21,
    30,
    37,
    38,
    40,
    43
   ],
   [
    0,
    1,
    3,
    7,
    11,
    14,
    24,
    29,
    47
   ],
   [
    0,
    1,
    4,
    5,
    8,
    13,
    17,
    19,
    23,
    37,
    38,
    39,
    41,
    42
   ],
   [
    1,
    7,
    13,
    16,
    19,
    22,
    37,
    38,
    39,
    40,
    41,
    43,
    44,
    47
   ],
   [
    1,
    3,
    4,
    6,
    13,
    15,
    19,
    21,
    37,
    38,
    40,
    42,
    44,
    46
   ],
   [
    2,
    5,
    14,
    20,
    38,
    39,
    40,
    41,
    45
   ],
   [
    0,
    3,
    12,
    18,
    36,
    37,
    38,
    40,
    43
   ],
   [
    2,
    11,
    17,
    35,
    36,
    37,
    39,
    42,
    47
   ],
   [
    1,
    10,
    16,
    34,
    35,
    36,
    38,
    41,
    46
   ],
   [
    0,
    1,
    4,
    9,
    13,
    15,
    19,
    33,
    34,
    35,
    38,
    39,
    44,
    45
   ],
   [
    0,
    3,
    6,
    7,
    11,
    18,
    29,
    32,
    33,
    34,
    36,
    40,
    41,
    42,
    43,
    44,
    45
   ],
   [
    8,
    13,
    31,
    32,
    33,
    35,
    39,
    43,
    46
   ]
  ],
  "Z": [
   [
    0,
    4,
    5,
    7,
    8,
    11,
    12,
    13,
    14,
    17,
    24,
    25,
    29,
    30,
    32,
    33
   ],
   [
    3,
    4,
    6,
    7,
    8,
    10,
    11,
    12,
    13,
    16,
    23,
    24,
    28,
    29,
    31,
    32,
    47
   ],
   [
    2,
    3,
    5,
    6,
    7,
    9,
    10,
    11,
    12,
    15,
    22,
    23,
    24,
    27,
    28,
    30,
    31,
    46
   ],
   [
    1,
    2,
    4,
    5,
    6,
    9,
    10,
    11,
    14,
    21,
    22,
    23,
    26,
    27,
    29,
    30,
    45
   ],
   [
    0,
    1,
    3,
    4,
    5,
    8,
    9,
    10,
    13,
    20,
    21,
    22,
    25,
    26,
    28,
    29,
    44
   ],
   [
    0,
    2,
    3,
    4,
    7,
    8,
    9,
    12,
    19,
    20,
    21,
    25,
    27,
    28,
    43,
    47
   ],
   [
    0,
    1,
    2,
    5,
    6,
    7,
    8,
    10,
    17,
    18,
    19,
    23,
    24,
    25,
    26,
    41,
    45,
    46
   ],
   [
    0,
    1,
    4,
    5,
    6,
    7,
    9,
    16,
    17,
    18,
    22,
    23,
    25,
    44,
    45,
    47
   ],
   [
    0,
    3,
    4,
    5,
    6,
    15,
    16,
    17,
    21,
    22,
    24,
    40,
    43,
    44,
    46,
    47
   ],
   [
    2,
    3,
    4,
    5,
    8,
    14,
    15,
    16,
    20,
    21,
    23,
    24,
    39,
    42,
    43,
    45,
    46,
    47
   ],
   [
    1,
    2,
    3,
    4,
    7,
    13,
    14,
    15,
    19,
    20,
    22,
    23,
    38,
    41,
    42,
    44,
    45,
    46
   ],
   [
    0,
    1,
    2,
    3,
    6,
    12,
    13,
    14,
    18,
    19,
    21,
    22,
    37,
    41,
    43,
    44,
    45
   ],
   [
    0,
    1,
    2,
    5,
    11,
    12,
    13,
    17,
    18,
    20,
    21,
    36,
    40,
    42,
    43,
    44,
    47
   ],
   [
    0,
    1,
    4,
    10,
    11,
    12,
    16,
    17,
    19,
    20,
    35,
    39,
    40,
    41,
    42,
    43,
    46,
    47
   ],
   [
    0,
    3,
    9,
    10,
    11,
    15,
    16,
    18,
    19,
    34,
    38,
    39,
    41,
    42,
    45,
    46,
    47
   ]
  ]
 },
 "distance": {
  "d": 4,
  "X": {
   "value": 4,
   "confidence": "upper_bound",
   "witness": [
    9,
    22,
    42,
    43
   ]
  },
  "Z": {
   "value": 5,
   "confidence": "upper_bound",
   "witness": [
    5,
    10,
    23,
    34,
    45
   ]
  }
 },
 "provenance": {
  "authors": [
   "@vprusso"
  ],
  "model": "Claude Opus 5",
  "novelty": "known_parameters",
  "origin": "submission",
  "date": "2026-09-21",
  "construction": "Check deletion from the board entry [[48,16,5]] (codes/48-16-5.json): row 6 of H_Z removed. Dropping one stabiliser generator frees one logical qubit and cannot raise the distance.",
  "notes": "Found by sweeping every single-row deletion of every small board entry and keeping those that land undominated. The parent's remaining checks are unchanged."
 },
 "family": "check-deletion",
 "locality": {
  "coordinates": [
   [
    3.0,
    3.0
   ],
   [
    2.0,
    1.0
   ],
   [
    0.0,
    4.0
   ],
   [
    3.0,
    1.0
   ],
   [
    0.0,
    2.0
   ],
   [
    1.0,
    4.0
   ],
   [
    2.0,
    3.0
   ],
   [
    1.0,
    1.0
   ],
   [
    1.0,
    5.0
   ],
   [
    2.0,
    5.0
   ],
   [
    0.0,
    1.0
   ],
   [
    1.0,
    1.0
   ],
   [
    2.0,
    4.0
   ],
   [
    1.0,
    3.0
   ],
   [
    1.0,
    2.0
   ],
   [
    2.0,
    0.0
   ],
   [
    3.0,
    3.0
   ],
   [
    3.0,
    2.0
   ],
   [
    2.0,
    3.0
   ],
   [
    2.0,
    2.0
   ],
   [
    3.0,
    0.0
   ],
   [
    3.0,
    2.0
   ],
   [
    3.0,
    0.0
   ],
   [
    3.0,
    4.0
   ],
   [
    2.0,
    5.0
   ],
   [
    1.0,
    5.0
   ],
   [
    3.0,
    1.0
   ],
   [
    3.0,
    5.0
   ],
   [
    3.0,
    5.0
   ],
   [
    3.0,
    4.0
   ],
   [
    0.0,
    4.0
   ],
   [
    0.0,
    2.0
   ],
   [
    0.0,
    5.0
   ],
   [
    0.0,
    5.0
   ],
   [
    0.0,
    0.0
   ],
   [
    2.0,
    2.0
   ],
   [
    1.0,
    0.0
   ],
   [
    1.0,
    0.0
   ],
   [
    0.0,
    3.0
   ],
   [
    0.0,
    1.0
   ],
   [
    2.0,
    1.0
   ],
   [
    2.0,
    4.0
   ],
   [
    0.0,
    0.0
   ],
   [
    1.0,
    2.0
   ],
   [
    1.0,
    4.0
   ],
   [
    2.0,
    0.0
   ],
   [
    1.0,
    3.0
   ],
   [
    0.0,
    3.0
   ]
  ],
  "layers": 2,
  "interaction_radius": 5.3852,
  "contributed_by": {
   "by": [
    "@dorakingx"
   ],
   "date": "2026-10-02",
   "method": "Simulated annealing over site assignments on an integer grid with the repo's own research/local2d/fold_layout.search_layout (max-diameter objective, several bounding boxes and seeds); single layer at radius 4 tried first, then two layers at 7. Radius and per-site occupancy re-measured with the verifier's rule."
  }
 }
}
