{
 "schema_version": "0.1",
 "name": "[[148,2,19]] 2BGA",
 "code_type": "CSS",
 "n": 148,
 "k": 2,
 "checks": {
  "X": [
   [
    0,
    1,
    70,
    72,
    74,
    96,
    120,
    138
   ],
   [
    0,
    1,
    3,
    5,
    75,
    97,
    121,
    139
   ],
   [
    0,
    2,
    3,
    72,
    76,
    98,
    122,
    140
   ],
   [
    2,
    3,
    5,
    7,
    77,
    99,
    123,
    141
   ],
   [
    0,
    2,
    4,
    5,
    78,
    100,
    124,
    142
   ],
   [
    4,
    5,
    7,
    9,
    79,
    101,
    125,
    143
   ],
   [
    2,
    4,
    6,
    7,
    80,
    102,
    126,
    144
   ],
   [
    6,
    7,
    9,
    11,
    81,
    103,
    127,
    145
   ],
   [
    4,
    6,
    8,
    9,
    82,
    104,
    128,
    146
   ],
   [
    8,
    9,
    11,
    13,
    83,
    105,
    129,
    147
   ],
   [
    6,
    8,
    10,
    11,
    74,
    84,
    106,
    130
   ],
   [
    10,
    11,
    13,
    15,
    75,
    85,
    107,
    131
   ],
   [
    8,
    10,
    12,
    13,
    76,
    86,
    108,
    132
   ],
   [
    12,
    13,
    15,
    17,
    77,
    87,
    109,
    133
   ],
   [
    10,
    12,
    14,
    15,
    78,
    88,
    110,
    134
   ],
   [
    14,
    15,
    17,
    19,
    79,
    89,
    111,
    135
   ],
   [
    12,
    14,
    16,
    17,
    80,
    90,
    112,
    136
   ],
   [
    16,
    17,
    19,
    21,
    81,
    91,
    113,
    137
   ],
   [
    14,
    16,
    18,
    19,
    82,
    92,
    114,
    138
   ],
   [
    18,
    19,
    21,
    23,
    83,
    93,
    115,
    139
   ],
   [
    16,
    18,
    20,
    21,
    84,
    94,
    116,
    140
   ],
   [
    20,
    21,
    23,
    25,
    85,
    95,
    117,
    141
   ],
   [
    18,
    20,
    22,
    23,
    86,
    96,
    118,
    142
   ],
   [
    22,
    23,
    25,
    27,
    87,
    97,
    119,
    143
   ],
   [
    20,
    22,
    24,
    25,
    88,
    98,
    120,
    144
   ],
   [
    24,
    25,
    27,
    29,
    89,
    99,
    121,
    145
   ],
   [
    22,
    24,
    26,
    27,
    90,
    100,
    122,
    146
   ],
   [
    26,
    27,
    29,
    31,
    91,
    101,
    123,
    147
   ],
   [
    24,
    26,
    28,
    29,
    74,
    92,
    102,
    124
   ],
   [
    28,
    29,
    31,
    33,
    75,
    93,
    103,
    125
   ],
   [
    26,
    28,
    30,
    31,
    76,
    94,
    104,
    126
   ],
   [
    30,
    31,
    33,
    35,
    77,
    95,
    105,
    127
   ],
   [
    28,
    30,
    32,
    33,
    78,
    96,
    106,
    128
   ],
   [
    32,
    33,
    35,
    37,
    79,
    97,
    107,
    129
   ],
   [
    30,
    32,
    34,
    35,
    80,
    98,
    108,
    130
   ],
   [
    34,
    35,
    37,
    39,
    81,
    99,
    109,
    131
   ],
   [
    32,
    34,
    36,
    37,
    82,
    100,
    110,
    132
   ],
   [
    36,
    37,
    39,
    41,
    83,
    101,
    111,
    133
   ],
   [
    34,
    36,
    38,
    39,
    84,
    102,
    112,
    134
   ],
   [
    38,
    39,
    41,
    43,
    85,
    103,
    113,
    135
   ],
   [
    36,
    38,
    40,
    41,
    86,
    104,
    114,
    136
   ],
   [
    40,
    41,
    43,
    45,
    87,
    105,
    115,
    137
   ],
   [
    38,
    40,
    42,
    43,
    88,
    106,
    116,
    138
   ],
   [
    42,
    43,
    45,
    47,
    89,
    107,
    117,
    139
   ],
   [
    40,
    42,
    44,
    45,
    90,
    108,
    118,
    140
   ],
   [
    44,
    45,
    47,
    49,
    91,
    109,
    119,
    141
   ],
   [
    42,
    44,
    46,
    47,
    92,
    110,
    120,
    142
   ],
   [
    46,
    47,
    49,
    51,
    93,
    111,
    121,
    143
   ],
   [
    44,
    46,
    48,
    49,
    94,
    112,
    122,
    144
   ],
   [
    48,
    49,
    51,
    53,
    95,
    113,
    123,
    145
   ],
   [
    46,
    48,
    50,
    51,
    96,
    114,
    124,
    146
   ],
   [
    50,
    51,
    53,
    55,
    97,
    115,
    125,
    147
   ],
   [
    48,
    50,
    52,
    53,
    74,
    98,
    116,
    126
   ],
   [
    52,
    53,
    55,
    57,
    75,
    99,
    117,
    127
   ],
   [
    50,
    52,
    54,
    55,
    76,
    100,
    118,
    128
   ],
   [
    54,
    55,
    57,
    59,
    77,
    101,
    119,
    129
   ],
   [
    52,
    54,
    56,
    57,
    78,
    102,
    120,
    130
   ],
   [
    56,
    57,
    59,
    61,
    79,
    103,
    121,
    131
   ],
   [
    54,
    56,
    58,
    59,
    80,
    104,
    122,
    132
   ],
   [
    58,
    59,
    61,
    63,
    81,
    105,
    123,
    133
   ],
   [
    56,
    58,
    60,
    61,
    82,
    106,
    124,
    134
   ],
   [
    60,
    61,
    63,
    65,
    83,
    107,
    125,
    135
   ],
   [
    58,
    60,
    62,
    63,
    84,
    108,
    126,
    136
   ],
   [
    62,
    63,
    65,
    67,
    85,
    109,
    127,
    137
   ],
   [
    60,
    62,
    64,
    65,
    86,
    110,
    128,
    138
   ],
   [
    64,
    65,
    67,
    69,
    87,
    111,
    129,
    139
   ],
   [
    62,
    64,
    66,
    67,
    88,
    112,
    130,
    140
   ],
   [
    66,
    67,
    69,
    71,
    89,
    113,
    131,
    141
   ],
   [
    64,
    66,
    68,
    69,
    90,
    114,
    132,
    142
   ],
   [
    68,
    69,
    71,
    73,
    91,
    115,
    133,
    143
   ],
   [
    66,
    68,
    70,
    71,
    92,
    116,
    134,
    144
   ],
   [
    1,
    70,
    71,
    73,
    93,
    117,
    135,
    145
   ],
   [
    68,
    70,
    72,
    73,
    94,
    118,
    136,
    146
   ],
   [
    1,
    3,
    72,
    73,
    95,
    119,
    137,
    147
   ]
  ],
  "Z": [
   [
    0,
    10,
    28,
    52,
    74,
    75,
    76,
    78
   ],
   [
    1,
    11,
    29,
    53,
    74,
    75,
    145,
    147
   ],
   [
    2,
    12,
    30,
    54,
    76,
    77,
    78,
    80
   ],
   [
    3,
    13,
    31,
    55,
    75,
    76,
    77,
    147
   ],
   [
    4,
    14,
    32,
    56,
    78,
    79,
    80,
    82
   ],
   [
    5,
    15,
    33,
    57,
    75,
    77,
    78,
    79
   ],
   [
    6,
    16,
    34,
    58,
    80,
    81,
    82,
    84
   ],
   [
    7,
    17,
    35,
    59,
    77,
    79,
    80,
    81
   ],
   [
    8,
    18,
    36,
    60,
    82,
    83,
    84,
    86
   ],
   [
    9,
    19,
    37,
    61,
    79,
    81,
    82,
    83
   ],
   [
    10,
    20,
    38,
    62,
    84,
    85,
    86,
    88
   ],
   [
    11,
    21,
    39,
    63,
    81,
    83,
    84,
    85
   ],
   [
    12,
    22,
    40,
    64,
    86,
    87,
    88,
    90
   ],
   [
    13,
    23,
    41,
    65,
    83,
    85,
    86,
    87
   ],
   [
    14,
    24,
    42,
    66,
    88,
    89,
    90,
    92
   ],
   [
    15,
    25,
    43,
    67,
    85,
    87,
    88,
    89
   ],
   [
    16,
    26,
    44,
    68,
    90,
    91,
    92,
    94
   ],
   [
    17,
    27,
    45,
    69,
    87,
    89,
    90,
    91
   ],
   [
    18,
    28,
    46,
    70,
    92,
    93,
    94,
    96
   ],
   [
    19,
    29,
    47,
    71,
    89,
    91,
    92,
    93
   ],
   [
    20,
    30,
    48,
    72,
    94,
    95,
    96,
    98
   ],
   [
    21,
    31,
    49,
    73,
    91,
    93,
    94,
    95
   ],
   [
    0,
    22,
    32,
    50,
    96,
    97,
    98,
    100
   ],
   [
    1,
    23,
    33,
    51,
    93,
    95,
    96,
    97
   ],
   [
    2,
    24,
    34,
    52,
    98,
    99,
    100,
    102
   ],
   [
    3,
    25,
    35,
    53,
    95,
    97,
    98,
    99
   ],
   [
    4,
    26,
    36,
    54,
    100,
    101,
    102,
    104
   ],
   [
    5,
    27,
    37,
    55,
    97,
    99,
    100,
    101
   ],
   [
    6,
    28,
    38,
    56,
    102,
    103,
    104,
    106
   ],
   [
    7,
    29,
    39,
    57,
    99,
    101,
    102,
    103
   ],
   [
    8,
    30,
    40,
    58,
    104,
    105,
    106,
    108
   ],
   [
    9,
    31,
    41,
    59,
    101,
    103,
    104,
    105
   ],
   [
    10,
    32,
    42,
    60,
    106,
    107,
    108,
    110
   ],
   [
    11,
    33,
    43,
    61,
    103,
    105,
    106,
    107
   ],
   [
    12,
    34,
    44,
    62,
    108,
    109,
    110,
    112
   ],
   [
    13,
    35,
    45,
    63,
    105,
    107,
    108,
    109
   ],
   [
    14,
    36,
    46,
    64,
    110,
    111,
    112,
    114
   ],
   [
    15,
    37,
    47,
    65,
    107,
    109,
    110,
    111
   ],
   [
    16,
    38,
    48,
    66,
    112,
    113,
    114,
    116
   ],
   [
    17,
    39,
    49,
    67,
    109,
    111,
    112,
    113
   ],
   [
    18,
    40,
    50,
    68,
    114,
    115,
    116,
    118
   ],
   [
    19,
    41,
    51,
    69,
    111,
    113,
    114,
    115
   ],
   [
    20,
    42,
    52,
    70,
    116,
    117,
    118,
    120
   ],
   [
    21,
    43,
    53,
    71,
    113,
    115,
    116,
    117
   ],
   [
    22,
    44,
    54,
    72,
    118,
    119,
    120,
    122
   ],
   [
    23,
    45,
    55,
    73,
    115,
    117,
    118,
    119
   ],
   [
    0,
    24,
    46,
    56,
    120,
    121,
    122,
    124
   ],
   [
    1,
    25,
    47,
    57,
    117,
    119,
    120,
    121
   ],
   [
    2,
    26,
    48,
    58,
    122,
    123,
    124,
    126
   ],
   [
    3,
    27,
    49,
    59,
    119,
    121,
    122,
    123
   ],
   [
    4,
    28,
    50,
    60,
    124,
    125,
    126,
    128
   ],
   [
    5,
    29,
    51,
    61,
    121,
    123,
    124,
    125
   ],
   [
    6,
    30,
    52,
    62,
    126,
    127,
    128,
    130
   ],
   [
    7,
    31,
    53,
    63,
    123,
    125,
    126,
    127
   ],
   [
    8,
    32,
    54,
    64,
    128,
    129,
    130,
    132
   ],
   [
    9,
    33,
    55,
    65,
    125,
    127,
    128,
    129
   ],
   [
    10,
    34,
    56,
    66,
    130,
    131,
    132,
    134
   ],
   [
    11,
    35,
    57,
    67,
    127,
    129,
    130,
    131
   ],
   [
    12,
    36,
    58,
    68,
    132,
    133,
    134,
    136
   ],
   [
    13,
    37,
    59,
    69,
    129,
    131,
    132,
    133
   ],
   [
    14,
    38,
    60,
    70,
    134,
    135,
    136,
    138
   ],
   [
    15,
    39,
    61,
    71,
    131,
    133,
    134,
    135
   ],
   [
    16,
    40,
    62,
    72,
    136,
    137,
    138,
    140
   ],
   [
    17,
    41,
    63,
    73,
    133,
    135,
    136,
    137
   ],
   [
    0,
    18,
    42,
    64,
    138,
    139,
    140,
    142
   ],
   [
    1,
    19,
    43,
    65,
    135,
    137,
    138,
    139
   ],
   [
    2,
    20,
    44,
    66,
    140,
    141,
    142,
    144
   ],
   [
    3,
    21,
    45,
    67,
    137,
    139,
    140,
    141
   ],
   [
    4,
    22,
    46,
    68,
    142,
    143,
    144,
    146
   ],
   [
    5,
    23,
    47,
    69,
    139,
    141,
    142,
    143
   ],
   [
    6,
    24,
    48,
    70,
    74,
    144,
    145,
    146
   ],
   [
    7,
    25,
    49,
    71,
    141,
    143,
    144,
    145
   ],
   [
    8,
    26,
    50,
    72,
    74,
    76,
    146,
    147
   ],
   [
    9,
    27,
    51,
    73,
    143,
    145,
    146,
    147
   ]
  ]
 },
 "distance": {
  "d": 19,
  "X": {
   "value": 19,
   "confidence": "upper_bound",
   "witness": [
    20,
    24,
    27,
    38,
    40,
    48,
    73,
    90,
    94,
    96,
    97,
    99,
    101,
    104,
    118,
    122,
    137,
    138,
    140
   ]
  },
  "Z": {
   "value": 19,
   "confidence": "upper_bound",
   "witness": [
    15,
    16,
    17,
    19,
    39,
    43,
    52,
    54,
    56,
    57,
    81,
    83,
    85,
    105,
    116,
    117,
    127,
    134,
    135
   ]
  }
 },
 "provenance": {
  "authors": [
   "@MathysRennela"
  ],
  "construction": "2BGA (arXiv:2306.16400) on SmallGroup(74,1), from github.com/QEC-pages/2BGA-codes @ 403d194c3f98f0cadc236aecbc4a8b6139ccf23c, nonabelian.zip, diswtnonabelian_wt8wtL4_order74_k2.txt, line 14. nonidentity supports a=[2, 3, 5], b=[11, 29, 53].",
  "references": [],
  "date": "2026-09-19",
  "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.",
  "model": "DeepSeek V4 Flash 0731",
  "origin": "submission"
 },
 "family": "generalized-bicycle"
}
