{
 "schema_version": "0.1",
 "name": "[[144,72,2]] 2BGA",
 "code_type": "CSS",
 "n": 144,
 "k": 72,
 "checks": {
  "X": [
   [
    0,
    3,
    72,
    75,
    78,
    90,
    106,
    123
   ],
   [
    1,
    7,
    72,
    73,
    75,
    79,
    116,
    131
   ],
   [
    2,
    10,
    73,
    74,
    79,
    82,
    121,
    134
   ],
   [
    0,
    3,
    72,
    75,
    78,
    90,
    106,
    123
   ],
   [
    4,
    13,
    72,
    75,
    76,
    85,
    129,
    138
   ],
   [
    5,
    14,
    77,
    86,
    112,
    125,
    128,
    137
   ],
   [
    6,
    18,
    74,
    78,
    82,
    90,
    129,
    138
   ],
   [
    1,
    7,
    72,
    73,
    75,
    79,
    116,
    131
   ],
   [
    8,
    21,
    73,
    79,
    80,
    93,
    106,
    123
   ],
   [
    9,
    22,
    81,
    89,
    94,
    105,
    133,
    141
   ],
   [
    2,
    10,
    73,
    74,
    79,
    82,
    121,
    134
   ],
   [
    11,
    26,
    74,
    82,
    83,
    98,
    116,
    131
   ],
   [
    12,
    27,
    84,
    97,
    99,
    115,
    136,
    142
   ],
   [
    4,
    13,
    72,
    75,
    76,
    85,
    129,
    138
   ],
   [
    5,
    14,
    77,
    86,
    112,
    125,
    128,
    137
   ],
   [
    15,
    31,
    76,
    85,
    87,
    103,
    111,
    127
   ],
   [
    16,
    32,
    77,
    86,
    88,
    104,
    110,
    126
   ],
   [
    17,
    33,
    87,
    89,
    92,
    103,
    105,
    109
   ],
   [
    6,
    18,
    74,
    78,
    82,
    90,
    129,
    138
   ],
   [
    19,
    36,
    78,
    90,
    91,
    108,
    121,
    134
   ],
   [
    20,
    37,
    92,
    102,
    109,
    120,
    140,
    143
   ],
   [
    8,
    21,
    73,
    79,
    80,
    93,
    106,
    123
   ],
   [
    9,
    22,
    81,
    89,
    94,
    105,
    133,
    141
   ],
   [
    23,
    41,
    80,
    88,
    93,
    95,
    104,
    113
   ],
   [
    24,
    42,
    81,
    87,
    94,
    96,
    103,
    114
   ],
   [
    25,
    43,
    77,
    86,
    95,
    97,
    113,
    115
   ],
   [
    11,
    26,
    74,
    82,
    83,
    98,
    116,
    131
   ],
   [
    12,
    27,
    84,
    97,
    99,
    115,
    136,
    142
   ],
   [
    28,
    46,
    83,
    96,
    98,
    100,
    114,
    118
   ],
   [
    29,
    47,
    84,
    95,
    99,
    101,
    113,
    119
   ],
   [
    30,
    48,
    81,
    94,
    100,
    102,
    118,
    120
   ],
   [
    15,
    31,
    76,
    85,
    87,
    103,
    111,
    127
   ],
   [
    16,
    32,
    77,
    86,
    88,
    104,
    110,
    126
   ],
   [
    17,
    33,
    87,
    89,
    92,
    103,
    105,
    109
   ],
   [
    34,
    51,
    88,
    91,
    104,
    106,
    108,
    123
   ],
   [
    35,
    52,
    89,
    105,
    107,
    124,
    140,
    143
   ],
   [
    19,
    36,
    78,
    90,
    91,
    108,
    121,
    134
   ],
   [
    20,
    37,
    92,
    102,
    109,
    120,
    140,
    143
   ],
   [
    38,
    54,
    91,
    101,
    108,
    110,
    119,
    126
   ],
   [
    39,
    55,
    92,
    100,
    109,
    111,
    118,
    127
   ],
   [
    40,
    56,
    84,
    99,
    110,
    112,
    126,
    128
   ],
   [
    23,
    41,
    80,
    88,
    93,
    95,
    104,
    113
   ],
   [
    24,
    42,
    81,
    87,
    94,
    96,
    103,
    114
   ],
   [
    25,
    43,
    77,
    86,
    95,
    97,
    113,
    115
   ],
   [
    44,
    59,
    76,
    85,
    96,
    114,
    116,
    131
   ],
   [
    45,
    60,
    97,
    115,
    117,
    125,
    132,
    137
   ],
   [
    28,
    46,
    83,
    96,
    98,
    100,
    114,
    118
   ],
   [
    29,
    47,
    84,
    95,
    99,
    101,
    113,
    119
   ],
   [
    30,
    48,
    81,
    94,
    100,
    102,
    118,
    120
   ],
   [
    49,
    62,
    80,
    93,
    101,
    119,
    121,
    134
   ],
   [
    50,
    63,
    102,
    120,
    122,
    133,
    135,
    141
   ],
   [
    34,
    51,
    88,
    91,
    104,
    106,
    108,
    123
   ],
   [
    35,
    52,
    89,
    105,
    107,
    124,
    140,
    143
   ],
   [
    53,
    65,
    107,
    124,
    125,
    130,
    137,
    139
   ],
   [
    38,
    54,
    91,
    101,
    108,
    110,
    119,
    126
   ],
   [
    39,
    55,
    92,
    100,
    109,
    111,
    118,
    127
   ],
   [
    40,
    56,
    84,
    99,
    110,
    112,
    126,
    128
   ],
   [
    57,
    66,
    83,
    98,
    111,
    127,
    129,
    138
   ],
   [
    58,
    67,
    112,
    128,
    130,
    136,
    139,
    142
   ],
   [
    44,
    59,
    76,
    85,
    96,
    114,
    116,
    131
   ],
   [
    45,
    60,
    97,
    115,
    117,
    125,
    132,
    137
   ],
   [
    61,
    69,
    107,
    117,
    124,
    132,
    133,
    141
   ],
   [
    49,
    62,
    80,
    93,
    101,
    119,
    121,
    134
   ],
   [
    50,
    63,
    102,
    120,
    122,
    133,
    135,
    141
   ],
   [
    64,
    70,
    117,
    122,
    132,
    135,
    136,
    142
   ],
   [
    53,
    65,
    107,
    124,
    125,
    130,
    137,
    139
   ],
   [
    57,
    66,
    83,
    98,
    111,
    127,
    129,
    138
   ],
   [
    58,
    67,
    112,
    128,
    130,
    136,
    139,
    142
   ],
   [
    68,
    71,
    122,
    130,
    135,
    139,
    140,
    143
   ],
   [
    61,
    69,
    107,
    117,
    124,
    132,
    133,
    141
   ],
   [
    64,
    70,
    117,
    122,
    132,
    135,
    136,
    142
   ],
   [
    68,
    71,
    122,
    130,
    135,
    139,
    140,
    143
   ]
  ],
  "Z": [
   [
    0,
    1,
    3,
    4,
    7,
    13,
    72,
    75
   ],
   [
    1,
    2,
    7,
    8,
    10,
    21,
    73,
    79
   ],
   [
    2,
    6,
    10,
    11,
    18,
    26,
    74,
    82
   ],
   [
    0,
    1,
    3,
    4,
    7,
    13,
    72,
    75
   ],
   [
    4,
    13,
    15,
    31,
    44,
    59,
    76,
    85
   ],
   [
    5,
    14,
    16,
    25,
    32,
    43,
    77,
    86
   ],
   [
    0,
    3,
    6,
    18,
    19,
    36,
    78,
    90
   ],
   [
    1,
    2,
    7,
    8,
    10,
    21,
    73,
    79
   ],
   [
    8,
    21,
    23,
    41,
    49,
    62,
    80,
    93
   ],
   [
    9,
    22,
    24,
    30,
    42,
    48,
    81,
    94
   ],
   [
    2,
    6,
    10,
    11,
    18,
    26,
    74,
    82
   ],
   [
    11,
    26,
    28,
    46,
    57,
    66,
    83,
    98
   ],
   [
    12,
    27,
    29,
    40,
    47,
    56,
    84,
    99
   ],
   [
    4,
    13,
    15,
    31,
    44,
    59,
    76,
    85
   ],
   [
    5,
    14,
    16,
    25,
    32,
    43,
    77,
    86
   ],
   [
    15,
    17,
    24,
    31,
    33,
    42,
    87,
    103
   ],
   [
    16,
    23,
    32,
    34,
    41,
    51,
    88,
    104
   ],
   [
    9,
    17,
    22,
    33,
    35,
    52,
    89,
    105
   ],
   [
    0,
    3,
    6,
    18,
    19,
    36,
    78,
    90
   ],
   [
    19,
    34,
    36,
    38,
    51,
    54,
    91,
    108
   ],
   [
    17,
    20,
    33,
    37,
    39,
    55,
    92,
    109
   ],
   [
    8,
    21,
    23,
    41,
    49,
    62,
    80,
    93
   ],
   [
    9,
    22,
    24,
    30,
    42,
    48,
    81,
    94
   ],
   [
    23,
    25,
    29,
    41,
    43,
    47,
    95,
    113
   ],
   [
    24,
    28,
    42,
    44,
    46,
    59,
    96,
    114
   ],
   [
    12,
    25,
    27,
    43,
    45,
    60,
    97,
    115
   ],
   [
    11,
    26,
    28,
    46,
    57,
    66,
    83,
    98
   ],
   [
    12,
    27,
    29,
    40,
    47,
    56,
    84,
    99
   ],
   [
    28,
    30,
    39,
    46,
    48,
    55,
    100,
    118
   ],
   [
    29,
    38,
    47,
    49,
    54,
    62,
    101,
    119
   ],
   [
    20,
    30,
    37,
    48,
    50,
    63,
    102,
    120
   ],
   [
    15,
    17,
    24,
    31,
    33,
    42,
    87,
    103
   ],
   [
    16,
    23,
    32,
    34,
    41,
    51,
    88,
    104
   ],
   [
    9,
    17,
    22,
    33,
    35,
    52,
    89,
    105
   ],
   [
    0,
    3,
    8,
    21,
    34,
    51,
    106,
    123
   ],
   [
    35,
    52,
    53,
    61,
    65,
    69,
    107,
    124
   ],
   [
    19,
    34,
    36,
    38,
    51,
    54,
    91,
    108
   ],
   [
    17,
    20,
    33,
    37,
    39,
    55,
    92,
    109
   ],
   [
    16,
    32,
    38,
    40,
    54,
    56,
    110,
    126
   ],
   [
    15,
    31,
    39,
    55,
    57,
    66,
    111,
    127
   ],
   [
    5,
    14,
    40,
    56,
    58,
    67,
    112,
    128
   ],
   [
    23,
    25,
    29,
    41,
    43,
    47,
    95,
    113
   ],
   [
    24,
    28,
    42,
    44,
    46,
    59,
    96,
    114
   ],
   [
    12,
    25,
    27,
    43,
    45,
    60,
    97,
    115
   ],
   [
    1,
    7,
    11,
    26,
    44,
    59,
    116,
    131
   ],
   [
    45,
    60,
    61,
    64,
    69,
    70,
    117,
    132
   ],
   [
    28,
    30,
    39,
    46,
    48,
    55,
    100,
    118
   ],
   [
    29,
    38,
    47,
    49,
    54,
    62,
    101,
    119
   ],
   [
    20,
    30,
    37,
    48,
    50,
    63,
    102,
    120
   ],
   [
    2,
    10,
    19,
    36,
    49,
    62,
    121,
    134
   ],
   [
    50,
    63,
    64,
    68,
    70,
    71,
    122,
    135
   ],
   [
    0,
    3,
    8,
    21,
    34,
    51,
    106,
    123
   ],
   [
    35,
    52,
    53,
    61,
    65,
    69,
    107,
    124
   ],
   [
    5,
    14,
    45,
    53,
    60,
    65,
    125,
    137
   ],
   [
    16,
    32,
    38,
    40,
    54,
    56,
    110,
    126
   ],
   [
    15,
    31,
    39,
    55,
    57,
    66,
    111,
    127
   ],
   [
    5,
    14,
    40,
    56,
    58,
    67,
    112,
    128
   ],
   [
    4,
    6,
    13,
    18,
    57,
    66,
    129,
    138
   ],
   [
    53,
    58,
    65,
    67,
    68,
    71,
    130,
    139
   ],
   [
    1,
    7,
    11,
    26,
    44,
    59,
    116,
    131
   ],
   [
    45,
    60,
    61,
    64,
    69,
    70,
    117,
    132
   ],
   [
    9,
    22,
    50,
    61,
    63,
    69,
    133,
    141
   ],
   [
    2,
    10,
    19,
    36,
    49,
    62,
    121,
    134
   ],
   [
    50,
    63,
    64,
    68,
    70,
    71,
    122,
    135
   ],
   [
    12,
    27,
    58,
    64,
    67,
    70,
    136,
    142
   ],
   [
    5,
    14,
    45,
    53,
    60,
    65,
    125,
    137
   ],
   [
    4,
    6,
    13,
    18,
    57,
    66,
    129,
    138
   ],
   [
    53,
    58,
    65,
    67,
    68,
    71,
    130,
    139
   ],
   [
    20,
    35,
    37,
    52,
    68,
    71,
    140,
    143
   ],
   [
    9,
    22,
    50,
    61,
    63,
    69,
    133,
    141
   ],
   [
    12,
    27,
    58,
    64,
    67,
    70,
    136,
    142
   ],
   [
    20,
    35,
    37,
    52,
    68,
    71,
    140,
    143
   ]
  ]
 },
 "distance": {
  "d": 2,
  "X": {
   "value": 2,
   "confidence": "upper_bound",
   "witness": [
    73,
    79
   ]
  },
  "Z": {
   "value": 2,
   "confidence": "upper_bound",
   "witness": [
    96,
    114
   ]
  }
 },
 "provenance": {
  "authors": [
   "@MathysRennela"
  ],
  "construction": "2BGA (arXiv:2306.16400) on SmallGroup(72,1), from github.com/QEC-pages/2BGA-codes @ 403d194c3f98f0cadc236aecbc4a8b6139ccf23c, nonabelian.zip, diswtnonabelian_wt8wtL2_order72_k72.txt, line 1. nonidentity supports a=[4], b=[2, 4, 5, 8, 14].",
  "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"
}