{
 "schema_version": "0.1",
 "name": "[[54,2,7]]",
 "code_type": "CSS",
 "n": 54,
 "k": 2,
 "checks": {
  "X": [
   [
    13,
    22,
    43,
    45
   ],
   [
    11,
    21,
    42,
    44
   ],
   [
    6,
    12,
    49,
    51
   ],
   [
    7,
    20,
    50,
    52
   ],
   [
    8,
    21,
    51,
    53
   ],
   [
    9,
    22,
    29,
    52
   ],
   [
    10,
    23,
    30,
    53
   ],
   [
    11,
    24,
    29,
    31
   ],
   [
    13,
    25,
    30,
    32
   ],
   [
    14,
    26,
    31,
    33
   ],
   [
    2,
    15,
    32,
    34
   ],
   [
    3,
    16,
    33,
    35
   ],
   [
    14,
    23,
    44,
    46
   ],
   [
    4,
    17,
    34,
    36
   ],
   [
    5,
    18,
    35,
    37
   ],
   [
    6,
    19,
    36,
    38
   ],
   [
    1,
    7,
    37,
    40
   ],
   [
    0,
    8,
    38,
    41
   ],
   [
    9,
    12,
    40,
    42
   ],
   [
    10,
    20,
    41,
    43
   ],
   [
    15,
    24,
    28,
    45
   ],
   [
    16,
    25,
    27,
    46
   ],
   [
    17,
    26,
    28,
    39
   ],
   [
    2,
    18,
    27,
    47
   ],
   [
    3,
    19,
    39,
    48
   ],
   [
    1,
    4,
    47,
    49
   ]
  ],
  "Z": [
   [
    21,
    23,
    44,
    53
   ],
   [
    20,
    22,
    43,
    52
   ],
   [
    5,
    7,
    37,
    50
   ],
   [
    6,
    8,
    38,
    51
   ],
   [
    7,
    9,
    40,
    52
   ],
   [
    8,
    10,
    41,
    53
   ],
   [
    9,
    11,
    29,
    42
   ],
   [
    10,
    13,
    30,
    43
   ],
   [
    11,
    14,
    31,
    44
   ],
   [
    13,
    15,
    32,
    45
   ],
   [
    14,
    16,
    33,
    46
   ],
   [
    15,
    17,
    28,
    34
   ],
   [
    22,
    24,
    29,
    45
   ],
   [
    16,
    18,
    27,
    35
   ],
   [
    17,
    19,
    36,
    39
   ],
   [
    1,
    18,
    37,
    47
   ],
   [
    0,
    19,
    38,
    48
   ],
   [
    1,
    12,
    40,
    49
   ],
   [
    0,
    20,
    41,
    50
   ],
   [
    12,
    21,
    42,
    51
   ],
   [
    23,
    25,
    30,
    46
   ],
   [
    24,
    26,
    28,
    31
   ],
   [
    2,
    25,
    27,
    32
   ],
   [
    3,
    26,
    33,
    39
   ],
   [
    2,
    4,
    34,
    47
   ],
   [
    3,
    5,
    35,
    48
   ]
  ]
 },
 "distance": {
  "d": 7,
  "X": {
   "value": 7,
   "confidence": "upper_bound",
   "witness": [
    15,
    17,
    25,
    32,
    33,
    39,
    46
   ]
  },
  "Z": {
   "value": 7,
   "confidence": "upper_bound",
   "witness": [
    9,
    10,
    20,
    23,
    42,
    44,
    52
   ]
  }
 },
 "provenance": {
  "authors": [
   "@mathysrennela"
  ],
  "construction": "Reconstructed from qecdb.org record 67bc8e2de8112da5fce0be7d (https://qecdb.org/codes/67bc8e2de8112da5fce0be7d); the record's H field is read as binary symplectic rows and split by rowspace (rank(A|B) = rank(A) + rank(B)), keeping the lightest independent basis of each part; n, k and the check weight recomputed here, witnesses from the kit's random search at the trials below. Database description: 2BGA; database distance claim d=7 (lower 7, upper 7).",
  "origin": "submission",
  "date": "2026-09-27",
  "model": "Mimo-V2.6-Free",
  "notes": "Equivalence assessed against the board: no exact stabilizer-group fingerprint match and no Weisfeiler-Leman signature match to any existing entry."
 },
 "family": "generalized-bicycle"
}