{
 "schema_version": "0.1",
 "name": "[[192,4,19]]",
 "code_type": "CSS",
 "n": 192,
 "k": 4,
 "checks": {
  "X": [
   [
    0,
    73,
    94,
    96,
    144,
    149,
    151
   ],
   [
    0,
    1,
    89,
    97,
    101,
    139,
    158
   ],
   [
    1,
    2,
    22,
    98,
    106,
    153,
    169
   ],
   [
    3,
    7,
    40,
    97,
    99,
    121,
    171
   ],
   [
    4,
    23,
    65,
    100,
    104,
    145,
    173
   ],
   [
    5,
    48,
    85,
    101,
    122,
    123,
    169
   ],
   [
    6,
    62,
    89,
    102,
    121,
    186,
    189
   ],
   [
    2,
    7,
    11,
    96,
    103,
    110,
    160
   ],
   [
    3,
    8,
    26,
    98,
    104,
    113,
    141
   ],
   [
    4,
    9,
    50,
    105,
    108,
    115,
    165
   ],
   [
    5,
    10,
    74,
    96,
    106,
    114,
    130
   ],
   [
    6,
    11,
    95,
    107,
    113,
    143,
    190
   ],
   [
    8,
    12,
    44,
    103,
    108,
    124,
    155
   ],
   [
    9,
    13,
    46,
    109,
    119,
    126,
    176
   ],
   [
    10,
    14,
    47,
    97,
    110,
    125,
    144
   ],
   [
    0,
    11,
    15,
    111,
    124,
    157,
    191
   ],
   [
    16,
    24,
    67,
    105,
    112,
    147,
    185
   ],
   [
    17,
    25,
    68,
    103,
    106,
    113,
    146
   ],
   [
    2,
    18,
    26,
    114,
    129,
    145,
    175
   ],
   [
    19,
    49,
    86,
    115,
    119,
    124,
    148
   ],
   [
    12,
    20,
    50,
    116,
    147,
    154,
    187
   ],
   [
    21,
    34,
    74,
    103,
    117,
    177,
    191
   ],
   [
    22,
    84,
    95,
    118,
    170,
    175,
    176
   ],
   [
    12,
    23,
    29,
    99,
    119,
    131,
    162
   ],
   [
    13,
    24,
    31,
    100,
    120,
    133,
    180
   ],
   [
    14,
    25,
    32,
    98,
    101,
    121,
    132
   ],
   [
    15,
    26,
    33,
    118,
    122,
    131,
    164
   ],
   [
    16,
    27,
    52,
    102,
    109,
    123,
    137
   ],
   [
    17,
    28,
    53,
    99,
    110,
    116,
    124
   ],
   [
    18,
    29,
    54,
    115,
    125,
    136,
    167
   ],
   [
    19,
    30,
    75,
    100,
    126,
    131,
    138
   ],
   [
    20,
    31,
    76,
    127,
    137,
    161,
    168
   ],
   [
    21,
    32,
    90,
    99,
    118,
    128,
    181
   ],
   [
    22,
    33,
    73,
    117,
    129,
    167,
    180
   ],
   [
    27,
    34,
    70,
    107,
    120,
    130,
    151
   ],
   [
    28,
    35,
    71,
    104,
    121,
    127,
    131
   ],
   [
    3,
    29,
    36,
    126,
    132,
    150,
    178
   ],
   [
    30,
    37,
    72,
    105,
    133,
    145,
    152
   ],
   [
    4,
    31,
    38,
    134,
    151,
    172,
    179
   ],
   [
    5,
    32,
    39,
    104,
    129,
    135,
    186
   ],
   [
    6,
    33,
    40,
    128,
    136,
    178,
    185
   ],
   [
    41,
    51,
    87,
    120,
    126,
    137,
    170
   ],
   [
    13,
    42,
    52,
    138,
    156,
    169,
    188
   ],
   [
    14,
    43,
    53,
    119,
    139,
    150,
    157
   ],
   [
    15,
    44,
    54,
    107,
    140,
    149,
    187
   ],
   [
    35,
    45,
    75,
    120,
    141,
    172,
    178
   ],
   [
    36,
    46,
    76,
    125,
    142,
    171,
    188
   ],
   [
    47,
    63,
    90,
    143,
    150,
    152,
    185
   ],
   [
    34,
    48,
    56,
    111,
    112,
    144,
    158
   ],
   [
    35,
    49,
    57,
    108,
    113,
    134,
    145
   ],
   [
    36,
    50,
    58,
    133,
    140,
    146,
    182
   ],
   [
    37,
    51,
    59,
    109,
    115,
    147,
    159
   ],
   [
    38,
    52,
    60,
    142,
    148,
    158,
    183
   ],
   [
    39,
    53,
    61,
    108,
    136,
    143,
    149
   ],
   [
    1,
    40,
    54,
    102,
    135,
    150,
    182
   ],
   [
    41,
    55,
    77,
    112,
    117,
    133,
    151
   ],
   [
    42,
    56,
    78,
    96,
    152,
    163,
    184
   ],
   [
    43,
    57,
    79,
    100,
    140,
    153,
    164
   ],
   [
    7,
    44,
    58,
    111,
    139,
    154,
    168
   ],
   [
    45,
    59,
    91,
    112,
    142,
    155,
    182
   ],
   [
    23,
    46,
    60,
    132,
    141,
    156,
    184
   ],
   [
    47,
    48,
    61,
    102,
    140,
    157,
    159
   ],
   [
    55,
    62,
    88,
    123,
    128,
    147,
    158
   ],
   [
    16,
    56,
    63,
    97,
    159,
    174,
    189
   ],
   [
    17,
    57,
    64,
    105,
    154,
    160,
    175
   ],
   [
    18,
    58,
    65,
    122,
    153,
    161,
    179
   ],
   [
    19,
    59,
    66,
    123,
    156,
    162,
    187
   ],
   [
    20,
    60,
    67,
    146,
    155,
    163,
    189
   ],
   [
    21,
    61,
    68,
    107,
    154,
    164,
    170
   ],
   [
    37,
    69,
    77,
    144,
    165,
    174,
    179
   ],
   [
    38,
    70,
    78,
    127,
    166,
    173,
    191
   ],
   [
    39,
    71,
    79,
    122,
    128,
    167,
    172
   ],
   [
    64,
    72,
    91,
    146,
    153,
    168,
    174
   ],
   [
    62,
    73,
    80,
    130,
    135,
    137,
    169
   ],
   [
    63,
    74,
    81,
    98,
    166,
    170,
    190
   ],
   [
    64,
    75,
    82,
    109,
    161,
    167,
    171
   ],
   [
    8,
    65,
    76,
    114,
    160,
    172,
    183
   ],
   [
    66,
    77,
    83,
    130,
    163,
    168,
    173
   ],
   [
    9,
    67,
    78,
    116,
    162,
    174,
    190
   ],
   [
    10,
    68,
    79,
    111,
    117,
    161,
    175
   ],
   [
    69,
    80,
    92,
    101,
    166,
    176,
    183
   ],
   [
    24,
    70,
    81,
    118,
    134,
    165,
    177
   ],
   [
    25,
    71,
    82,
    114,
    135,
    142,
    178
   ],
   [
    49,
    72,
    83,
    116,
    160,
    166,
    179
   ],
   [
    41,
    80,
    84,
    106,
    177,
    180,
    188
   ],
   [
    42,
    81,
    85,
    129,
    148,
    176,
    181
   ],
   [
    43,
    82,
    86,
    125,
    149,
    156,
    182
   ],
   [
    45,
    83,
    87,
    127,
    171,
    177,
    183
   ],
   [
    66,
    88,
    92,
    148,
    155,
    184,
    186
   ],
   [
    84,
    89,
    93,
    110,
    181,
    184,
    185
   ],
   [
    27,
    85,
    90,
    136,
    138,
    180,
    186
   ],
   [
    28,
    86,
    91,
    132,
    139,
    163,
    187
   ],
   [
    30,
    87,
    92,
    134,
    141,
    181,
    188
   ],
   [
    51,
    88,
    93,
    138,
    143,
    162,
    189
   ],
   [
    69,
    93,
    94,
    152,
    157,
    173,
    190
   ],
   [
    55,
    94,
    95,
    159,
    164,
    165,
    191
   ]
  ],
  "Z": [
   [
    0,
    7,
    10,
    56,
    96,
    97,
    111
   ],
   [
    1,
    3,
    14,
    63,
    97,
    98,
    150
   ],
   [
    2,
    8,
    25,
    74,
    98,
    103,
    114
   ],
   [
    3,
    23,
    28,
    32,
    99,
    104,
    132
   ],
   [
    4,
    24,
    30,
    57,
    100,
    105,
    134
   ],
   [
    1,
    5,
    25,
    80,
    101,
    106,
    135
   ],
   [
    6,
    27,
    54,
    61,
    102,
    107,
    136
   ],
   [
    7,
    12,
    17,
    21,
    99,
    103,
    154
   ],
   [
    4,
    8,
    35,
    39,
    104,
    108,
    172
   ],
   [
    9,
    16,
    37,
    64,
    105,
    109,
    174
   ],
   [
    2,
    10,
    17,
    84,
    106,
    110,
    175
   ],
   [
    11,
    34,
    44,
    68,
    103,
    107,
    111
   ],
   [
    9,
    12,
    49,
    53,
    108,
    116,
    119
   ],
   [
    13,
    27,
    51,
    75,
    109,
    120,
    138
   ],
   [
    7,
    14,
    28,
    89,
    110,
    121,
    139
   ],
   [
    15,
    48,
    58,
    79,
    111,
    122,
    140
   ],
   [
    16,
    48,
    55,
    59,
    112,
    123,
    159
   ],
   [
    8,
    11,
    17,
    49,
    113,
    124,
    160
   ],
   [
    10,
    18,
    76,
    82,
    114,
    125,
    161
   ],
   [
    9,
    19,
    29,
    51,
    115,
    126,
    162
   ],
   [
    20,
    28,
    78,
    83,
    116,
    127,
    163
   ],
   [
    21,
    33,
    55,
    79,
    117,
    128,
    164
   ],
   [
    22,
    26,
    32,
    81,
    98,
    118,
    129
   ],
   [
    13,
    19,
    23,
    43,
    100,
    119,
    156
   ],
   [
    24,
    34,
    41,
    45,
    112,
    120,
    177
   ],
   [
    3,
    6,
    25,
    35,
    113,
    121,
    178
   ],
   [
    5,
    26,
    65,
    71,
    104,
    114,
    122
   ],
   [
    5,
    27,
    62,
    66,
    123,
    130,
    186
   ],
   [
    12,
    15,
    19,
    28,
    124,
    131,
    187
   ],
   [
    14,
    29,
    46,
    86,
    119,
    125,
    132
   ],
   [
    13,
    30,
    36,
    41,
    126,
    133,
    188
   ],
   [
    31,
    35,
    70,
    87,
    120,
    127,
    134
   ],
   [
    32,
    40,
    62,
    71,
    121,
    128,
    135
   ],
   [
    18,
    33,
    39,
    85,
    122,
    129,
    136
   ],
   [
    10,
    34,
    73,
    77,
    117,
    130,
    144
   ],
   [
    23,
    26,
    30,
    35,
    131,
    141,
    145
   ],
   [
    25,
    36,
    60,
    91,
    132,
    142,
    146
   ],
   [
    24,
    37,
    50,
    55,
    133,
    147,
    165
   ],
   [
    38,
    49,
    81,
    92,
    134,
    148,
    166
   ],
   [
    39,
    54,
    73,
    82,
    135,
    149,
    167
   ],
   [
    29,
    40,
    53,
    90,
    99,
    136,
    150
   ],
   [
    27,
    31,
    41,
    73,
    137,
    151,
    180
   ],
   [
    30,
    42,
    90,
    93,
    138,
    152,
    181
   ],
   [
    1,
    43,
    58,
    91,
    139,
    153,
    182
   ],
   [
    44,
    50,
    57,
    61,
    108,
    140,
    154
   ],
   [
    8,
    45,
    60,
    92,
    141,
    155,
    183
   ],
   [
    46,
    52,
    59,
    82,
    109,
    142,
    156
   ],
   [
    11,
    47,
    53,
    93,
    110,
    143,
    157
   ],
   [
    0,
    14,
    48,
    69,
    101,
    144,
    157
   ],
   [
    4,
    18,
    37,
    49,
    115,
    145,
    179
   ],
   [
    17,
    50,
    67,
    72,
    105,
    116,
    146
   ],
   [
    16,
    20,
    51,
    62,
    137,
    147,
    189
   ],
   [
    19,
    52,
    85,
    88,
    123,
    138,
    148
   ],
   [
    0,
    44,
    53,
    86,
    124,
    139,
    149
   ],
   [
    36,
    43,
    47,
    54,
    125,
    140,
    150
   ],
   [
    0,
    34,
    38,
    55,
    151,
    158,
    191
   ],
   [
    37,
    47,
    56,
    94,
    144,
    152,
    159
   ],
   [
    2,
    57,
    65,
    72,
    145,
    153,
    160
   ],
   [
    20,
    58,
    64,
    68,
    146,
    154,
    161
   ],
   [
    12,
    59,
    67,
    88,
    147,
    155,
    162
   ],
   [
    42,
    60,
    66,
    86,
    148,
    156,
    163
   ],
   [
    15,
    43,
    61,
    94,
    149,
    157,
    164
   ],
   [
    1,
    48,
    52,
    62,
    102,
    158,
    169
   ],
   [
    51,
    61,
    63,
    95,
    143,
    159,
    170
   ],
   [
    7,
    64,
    76,
    83,
    160,
    168,
    171
   ],
   [
    31,
    65,
    75,
    79,
    100,
    161,
    172
   ],
   [
    23,
    66,
    78,
    93,
    162,
    173,
    184
   ],
   [
    56,
    67,
    77,
    91,
    112,
    163,
    174
   ],
   [
    26,
    57,
    68,
    95,
    113,
    164,
    175
   ],
   [
    9,
    69,
    81,
    95,
    165,
    176,
    190
   ],
   [
    70,
    74,
    80,
    83,
    130,
    166,
    177
   ],
   [
    29,
    33,
    71,
    75,
    131,
    167,
    178
   ],
   [
    31,
    58,
    72,
    77,
    133,
    168,
    179
   ],
   [
    2,
    5,
    42,
    73,
    96,
    129,
    169
   ],
   [
    22,
    41,
    68,
    74,
    106,
    117,
    170
   ],
   [
    3,
    46,
    75,
    87,
    126,
    141,
    171
   ],
   [
    38,
    45,
    71,
    76,
    127,
    142,
    172
   ],
   [
    4,
    70,
    77,
    94,
    151,
    165,
    173
   ],
   [
    63,
    69,
    72,
    78,
    152,
    166,
    174
   ],
   [
    18,
    22,
    64,
    79,
    153,
    167,
    175
   ],
   [
    13,
    22,
    80,
    85,
    169,
    176,
    180
   ],
   [
    21,
    81,
    84,
    87,
    170,
    177,
    181
   ],
   [
    36,
    40,
    45,
    82,
    171,
    178,
    182
   ],
   [
    38,
    65,
    69,
    83,
    173,
    179,
    183
   ],
   [
    24,
    33,
    84,
    90,
    118,
    180,
    185
   ],
   [
    32,
    85,
    89,
    92,
    101,
    181,
    186
   ],
   [
    50,
    54,
    59,
    86,
    115,
    182,
    187
   ],
   [
    52,
    76,
    80,
    87,
    137,
    183,
    188
   ],
   [
    56,
    60,
    88,
    89,
    158,
    184,
    189
   ],
   [
    16,
    40,
    47,
    89,
    97,
    102,
    185
   ],
   [
    6,
    39,
    88,
    90,
    128,
    143,
    186
   ],
   [
    20,
    44,
    66,
    91,
    155,
    168,
    187
   ],
   [
    42,
    46,
    84,
    92,
    176,
    184,
    188
   ],
   [
    6,
    63,
    67,
    93,
    185,
    189,
    190
   ],
   [
    11,
    74,
    78,
    94,
    96,
    190,
    191
   ],
   [
    15,
    21,
    70,
    95,
    107,
    118,
    191
   ]
  ]
 },
 "distance": {
  "d": 19,
  "X": {
   "value": 19,
   "confidence": "upper_bound",
   "witness": [
    7,
    10,
    31,
    36,
    41,
    43,
    53,
    58,
    64,
    79,
    82,
    99,
    109,
    110,
    117,
    119,
    120,
    132,
    149
   ]
  },
  "Z": {
   "value": 19,
   "confidence": "upper_bound",
   "witness": [
    12,
    16,
    20,
    23,
    32,
    37,
    46,
    56,
    77,
    90,
    109,
    112,
    121,
    127,
    152,
    155,
    171,
    173,
    186
   ]
  }
 },
 "provenance": {
  "authors": [
   "@MathysRennela"
  ],
  "construction": "contributed via qldpc submit",
  "origin": "submission",
  "date": "2026-09-18",
  "model": "DeepSeek V4 Flash 0731",
  "notes": "Literature reproduction of a published 2BGA code (arXiv:2306.16400; github.com/QEC-pages/2BGA-codes @ 403d194c3f98f0cadc236aecbc4a8b6139ccf23c). Checked against the live board: not equivalent to any existing entry."
 },
 "family": "generalized-bicycle"
}
