{
 "schema_version": "0.1",
 "name": "[[178,2,19]] GB code",
 "code_type": "CSS",
 "n": 178,
 "k": 2,
 "checks": {
  "X": [
   [
    0,
    88,
    89,
    151,
    162,
    171
   ],
   [
    0,
    1,
    90,
    152,
    163,
    172
   ],
   [
    1,
    2,
    91,
    153,
    164,
    173
   ],
   [
    2,
    3,
    92,
    154,
    165,
    174
   ],
   [
    3,
    4,
    93,
    155,
    166,
    175
   ],
   [
    4,
    5,
    94,
    156,
    167,
    176
   ],
   [
    5,
    6,
    95,
    157,
    168,
    177
   ],
   [
    6,
    7,
    89,
    96,
    158,
    169
   ],
   [
    7,
    8,
    90,
    97,
    159,
    170
   ],
   [
    8,
    9,
    91,
    98,
    160,
    171
   ],
   [
    9,
    10,
    92,
    99,
    161,
    172
   ],
   [
    10,
    11,
    93,
    100,
    162,
    173
   ],
   [
    11,
    12,
    94,
    101,
    163,
    174
   ],
   [
    12,
    13,
    95,
    102,
    164,
    175
   ],
   [
    13,
    14,
    96,
    103,
    165,
    176
   ],
   [
    14,
    15,
    97,
    104,
    166,
    177
   ],
   [
    15,
    16,
    89,
    98,
    105,
    167
   ],
   [
    16,
    17,
    90,
    99,
    106,
    168
   ],
   [
    17,
    18,
    91,
    100,
    107,
    169
   ],
   [
    18,
    19,
    92,
    101,
    108,
    170
   ],
   [
    19,
    20,
    93,
    102,
    109,
    171
   ],
   [
    20,
    21,
    94,
    103,
    110,
    172
   ],
   [
    21,
    22,
    95,
    104,
    111,
    173
   ],
   [
    22,
    23,
    96,
    105,
    112,
    174
   ],
   [
    23,
    24,
    97,
    106,
    113,
    175
   ],
   [
    24,
    25,
    98,
    107,
    114,
    176
   ],
   [
    25,
    26,
    99,
    108,
    115,
    177
   ],
   [
    26,
    27,
    89,
    100,
    109,
    116
   ],
   [
    27,
    28,
    90,
    101,
    110,
    117
   ],
   [
    28,
    29,
    91,
    102,
    111,
    118
   ],
   [
    29,
    30,
    92,
    103,
    112,
    119
   ],
   [
    30,
    31,
    93,
    104,
    113,
    120
   ],
   [
    31,
    32,
    94,
    105,
    114,
    121
   ],
   [
    32,
    33,
    95,
    106,
    115,
    122
   ],
   [
    33,
    34,
    96,
    107,
    116,
    123
   ],
   [
    34,
    35,
    97,
    108,
    117,
    124
   ],
   [
    35,
    36,
    98,
    109,
    118,
    125
   ],
   [
    36,
    37,
    99,
    110,
    119,
    126
   ],
   [
    37,
    38,
    100,
    111,
    120,
    127
   ],
   [
    38,
    39,
    101,
    112,
    121,
    128
   ],
   [
    39,
    40,
    102,
    113,
    122,
    129
   ],
   [
    40,
    41,
    103,
    114,
    123,
    130
   ],
   [
    41,
    42,
    104,
    115,
    124,
    131
   ],
   [
    42,
    43,
    105,
    116,
    125,
    132
   ],
   [
    43,
    44,
    106,
    117,
    126,
    133
   ],
   [
    44,
    45,
    107,
    118,
    127,
    134
   ],
   [
    45,
    46,
    108,
    119,
    128,
    135
   ],
   [
    46,
    47,
    109,
    120,
    129,
    136
   ],
   [
    47,
    48,
    110,
    121,
    130,
    137
   ],
   [
    48,
    49,
    111,
    122,
    131,
    138
   ],
   [
    49,
    50,
    112,
    123,
    132,
    139
   ],
   [
    50,
    51,
    113,
    124,
    133,
    140
   ],
   [
    51,
    52,
    114,
    125,
    134,
    141
   ],
   [
    52,
    53,
    115,
    126,
    135,
    142
   ],
   [
    53,
    54,
    116,
    127,
    136,
    143
   ],
   [
    54,
    55,
    117,
    128,
    137,
    144
   ],
   [
    55,
    56,
    118,
    129,
    138,
    145
   ],
   [
    56,
    57,
    119,
    130,
    139,
    146
   ],
   [
    57,
    58,
    120,
    131,
    140,
    147
   ],
   [
    58,
    59,
    121,
    132,
    141,
    148
   ],
   [
    59,
    60,
    122,
    133,
    142,
    149
   ],
   [
    60,
    61,
    123,
    134,
    143,
    150
   ],
   [
    61,
    62,
    124,
    135,
    144,
    151
   ],
   [
    62,
    63,
    125,
    136,
    145,
    152
   ],
   [
    63,
    64,
    126,
    137,
    146,
    153
   ],
   [
    64,
    65,
    127,
    138,
    147,
    154
   ],
   [
    65,
    66,
    128,
    139,
    148,
    155
   ],
   [
    66,
    67,
    129,
    140,
    149,
    156
   ],
   [
    67,
    68,
    130,
    141,
    150,
    157
   ],
   [
    68,
    69,
    131,
    142,
    151,
    158
   ],
   [
    69,
    70,
    132,
    143,
    152,
    159
   ],
   [
    70,
    71,
    133,
    144,
    153,
    160
   ],
   [
    71,
    72,
    134,
    145,
    154,
    161
   ],
   [
    72,
    73,
    135,
    146,
    155,
    162
   ],
   [
    73,
    74,
    136,
    147,
    156,
    163
   ],
   [
    74,
    75,
    137,
    148,
    157,
    164
   ],
   [
    75,
    76,
    138,
    149,
    158,
    165
   ],
   [
    76,
    77,
    139,
    150,
    159,
    166
   ],
   [
    77,
    78,
    140,
    151,
    160,
    167
   ],
   [
    78,
    79,
    141,
    152,
    161,
    168
   ],
   [
    79,
    80,
    142,
    153,
    162,
    169
   ],
   [
    80,
    81,
    143,
    154,
    163,
    170
   ],
   [
    81,
    82,
    144,
    155,
    164,
    171
   ],
   [
    82,
    83,
    145,
    156,
    165,
    172
   ],
   [
    83,
    84,
    146,
    157,
    166,
    173
   ],
   [
    84,
    85,
    147,
    158,
    167,
    174
   ],
   [
    85,
    86,
    148,
    159,
    168,
    175
   ],
   [
    86,
    87,
    149,
    160,
    169,
    176
   ],
   [
    87,
    88,
    150,
    161,
    170,
    177
   ]
  ],
  "Z": [
   [
    0,
    7,
    16,
    27,
    89,
    90
   ],
   [
    1,
    8,
    17,
    28,
    90,
    91
   ],
   [
    2,
    9,
    18,
    29,
    91,
    92
   ],
   [
    3,
    10,
    19,
    30,
    92,
    93
   ],
   [
    4,
    11,
    20,
    31,
    93,
    94
   ],
   [
    5,
    12,
    21,
    32,
    94,
    95
   ],
   [
    6,
    13,
    22,
    33,
    95,
    96
   ],
   [
    7,
    14,
    23,
    34,
    96,
    97
   ],
   [
    8,
    15,
    24,
    35,
    97,
    98
   ],
   [
    9,
    16,
    25,
    36,
    98,
    99
   ],
   [
    10,
    17,
    26,
    37,
    99,
    100
   ],
   [
    11,
    18,
    27,
    38,
    100,
    101
   ],
   [
    12,
    19,
    28,
    39,
    101,
    102
   ],
   [
    13,
    20,
    29,
    40,
    102,
    103
   ],
   [
    14,
    21,
    30,
    41,
    103,
    104
   ],
   [
    15,
    22,
    31,
    42,
    104,
    105
   ],
   [
    16,
    23,
    32,
    43,
    105,
    106
   ],
   [
    17,
    24,
    33,
    44,
    106,
    107
   ],
   [
    18,
    25,
    34,
    45,
    107,
    108
   ],
   [
    19,
    26,
    35,
    46,
    108,
    109
   ],
   [
    20,
    27,
    36,
    47,
    109,
    110
   ],
   [
    21,
    28,
    37,
    48,
    110,
    111
   ],
   [
    22,
    29,
    38,
    49,
    111,
    112
   ],
   [
    23,
    30,
    39,
    50,
    112,
    113
   ],
   [
    24,
    31,
    40,
    51,
    113,
    114
   ],
   [
    25,
    32,
    41,
    52,
    114,
    115
   ],
   [
    26,
    33,
    42,
    53,
    115,
    116
   ],
   [
    27,
    34,
    43,
    54,
    116,
    117
   ],
   [
    28,
    35,
    44,
    55,
    117,
    118
   ],
   [
    29,
    36,
    45,
    56,
    118,
    119
   ],
   [
    30,
    37,
    46,
    57,
    119,
    120
   ],
   [
    31,
    38,
    47,
    58,
    120,
    121
   ],
   [
    32,
    39,
    48,
    59,
    121,
    122
   ],
   [
    33,
    40,
    49,
    60,
    122,
    123
   ],
   [
    34,
    41,
    50,
    61,
    123,
    124
   ],
   [
    35,
    42,
    51,
    62,
    124,
    125
   ],
   [
    36,
    43,
    52,
    63,
    125,
    126
   ],
   [
    37,
    44,
    53,
    64,
    126,
    127
   ],
   [
    38,
    45,
    54,
    65,
    127,
    128
   ],
   [
    39,
    46,
    55,
    66,
    128,
    129
   ],
   [
    40,
    47,
    56,
    67,
    129,
    130
   ],
   [
    41,
    48,
    57,
    68,
    130,
    131
   ],
   [
    42,
    49,
    58,
    69,
    131,
    132
   ],
   [
    43,
    50,
    59,
    70,
    132,
    133
   ],
   [
    44,
    51,
    60,
    71,
    133,
    134
   ],
   [
    45,
    52,
    61,
    72,
    134,
    135
   ],
   [
    46,
    53,
    62,
    73,
    135,
    136
   ],
   [
    47,
    54,
    63,
    74,
    136,
    137
   ],
   [
    48,
    55,
    64,
    75,
    137,
    138
   ],
   [
    49,
    56,
    65,
    76,
    138,
    139
   ],
   [
    50,
    57,
    66,
    77,
    139,
    140
   ],
   [
    51,
    58,
    67,
    78,
    140,
    141
   ],
   [
    52,
    59,
    68,
    79,
    141,
    142
   ],
   [
    53,
    60,
    69,
    80,
    142,
    143
   ],
   [
    54,
    61,
    70,
    81,
    143,
    144
   ],
   [
    55,
    62,
    71,
    82,
    144,
    145
   ],
   [
    56,
    63,
    72,
    83,
    145,
    146
   ],
   [
    57,
    64,
    73,
    84,
    146,
    147
   ],
   [
    58,
    65,
    74,
    85,
    147,
    148
   ],
   [
    59,
    66,
    75,
    86,
    148,
    149
   ],
   [
    60,
    67,
    76,
    87,
    149,
    150
   ],
   [
    61,
    68,
    77,
    88,
    150,
    151
   ],
   [
    0,
    62,
    69,
    78,
    151,
    152
   ],
   [
    1,
    63,
    70,
    79,
    152,
    153
   ],
   [
    2,
    64,
    71,
    80,
    153,
    154
   ],
   [
    3,
    65,
    72,
    81,
    154,
    155
   ],
   [
    4,
    66,
    73,
    82,
    155,
    156
   ],
   [
    5,
    67,
    74,
    83,
    156,
    157
   ],
   [
    6,
    68,
    75,
    84,
    157,
    158
   ],
   [
    7,
    69,
    76,
    85,
    158,
    159
   ],
   [
    8,
    70,
    77,
    86,
    159,
    160
   ],
   [
    9,
    71,
    78,
    87,
    160,
    161
   ],
   [
    10,
    72,
    79,
    88,
    161,
    162
   ],
   [
    0,
    11,
    73,
    80,
    162,
    163
   ],
   [
    1,
    12,
    74,
    81,
    163,
    164
   ],
   [
    2,
    13,
    75,
    82,
    164,
    165
   ],
   [
    3,
    14,
    76,
    83,
    165,
    166
   ],
   [
    4,
    15,
    77,
    84,
    166,
    167
   ],
   [
    5,
    16,
    78,
    85,
    167,
    168
   ],
   [
    6,
    17,
    79,
    86,
    168,
    169
   ],
   [
    7,
    18,
    80,
    87,
    169,
    170
   ],
   [
    8,
    19,
    81,
    88,
    170,
    171
   ],
   [
    0,
    9,
    20,
    82,
    171,
    172
   ],
   [
    1,
    10,
    21,
    83,
    172,
    173
   ],
   [
    2,
    11,
    22,
    84,
    173,
    174
   ],
   [
    3,
    12,
    23,
    85,
    174,
    175
   ],
   [
    4,
    13,
    24,
    86,
    175,
    176
   ],
   [
    5,
    14,
    25,
    87,
    176,
    177
   ],
   [
    6,
    15,
    26,
    88,
    89,
    177
   ]
  ]
 },
 "distance": {
  "d": 19,
  "X": {
   "value": 19,
   "confidence": "upper_bound",
   "witness": [
    6,
    26,
    33,
    35,
    44,
    60,
    76,
    98,
    99,
    125,
    126,
    139,
    140,
    141,
    142,
    158,
    166,
    167,
    168
   ]
  },
  "Z": {
   "value": 19,
   "confidence": "upper_bound",
   "witness": [
    1,
    13,
    14,
    22,
    23,
    53,
    61,
    62,
    71,
    80,
    95,
    99,
    106,
    126,
    143,
    152,
    153,
    161,
    177
   ]
  }
 },
 "provenance": {
  "authors": [
   "@MathysRennela"
  ],
  "construction": "Generalized bicycle code (arXiv:2306.16400, Renyu Wang & Leonid P. Pryadko) from github.com/QEC-pages/GB-codes, gb-codes.zip, codes/GB_178_w6_X.mtx and _Z.mtx.",
  "references": [],
  "date": "2026-09-19",
  "notes": "Literature reproduction of a published generalized bicycle code (arXiv:2306.16400, Renyu Wang & Leonid P. Pryadko), from github.com/QEC-pages/GB-codes gb-codes.zip. Checked against the live board: not equivalent to any existing entry.",
  "model": "DeepSeek V4 Flash 0731",
  "origin": "submission"
 },
 "family": "generalized-bicycle"
}
