{
 "schema_version": "0.1",
 "name": "[[180,2,15]] 2BGA",
 "code_type": "CSS",
 "n": 180,
 "k": 2,
 "checks": {
  "X": [
   [
    0,
    76,
    90,
    123,
    178
   ],
   [
    1,
    70,
    91,
    115,
    179
   ],
   [
    2,
    51,
    92,
    138,
    165
   ],
   [
    3,
    14,
    93,
    128,
    141
   ],
   [
    4,
    85,
    94,
    159,
    160
   ],
   [
    5,
    42,
    95,
    129,
    171
   ],
   [
    6,
    8,
    96,
    132,
    137
   ],
   [
    7,
    82,
    97,
    151,
    166
   ],
   [
    8,
    65,
    98,
    152,
    174
   ],
   [
    1,
    9,
    99,
    103,
    155
   ],
   [
    10,
    68,
    100,
    132,
    170
   ],
   [
    11,
    28,
    91,
    101,
    146
   ],
   [
    12,
    29,
    98,
    102,
    171
   ],
   [
    13,
    89,
    103,
    142,
    172
   ],
   [
    14,
    57,
    104,
    144,
    177
   ],
   [
    0,
    15,
    105,
    109,
    147
   ],
   [
    16,
    60,
    106,
    141,
    164
   ],
   [
    17,
    20,
    90,
    107,
    154
   ],
   [
    18,
    21,
    104,
    108,
    165
   ],
   [
    19,
    88,
    109,
    133,
    175
   ],
   [
    5,
    20,
    110,
    114,
    166
   ],
   [
    21,
    79,
    111,
    147,
    176
   ],
   [
    6,
    22,
    95,
    112,
    117
   ],
   [
    7,
    23,
    90,
    113,
    177
   ],
   [
    24,
    81,
    114,
    150,
    156
   ],
   [
    25,
    45,
    96,
    115,
    162
   ],
   [
    26,
    46,
    109,
    110,
    116
   ],
   [
    27,
    47,
    111,
    117,
    158
   ],
   [
    2,
    28,
    118,
    122,
    160
   ],
   [
    29,
    73,
    119,
    155,
    173
   ],
   [
    3,
    30,
    92,
    120,
    125
   ],
   [
    4,
    31,
    91,
    121,
    174
   ],
   [
    32,
    75,
    122,
    148,
    158
   ],
   [
    33,
    36,
    93,
    123,
    168
   ],
   [
    34,
    37,
    103,
    118,
    124
   ],
   [
    35,
    38,
    119,
    125,
    150
   ],
   [
    15,
    36,
    104,
    126,
    131
   ],
   [
    16,
    37,
    92,
    127,
    179
   ],
   [
    38,
    87,
    128,
    163,
    167
   ],
   [
    17,
    39,
    105,
    129,
    134
   ],
   [
    18,
    40,
    93,
    122,
    130
   ],
   [
    19,
    41,
    94,
    131,
    169
   ],
   [
    42,
    62,
    107,
    132,
    173
   ],
   [
    43,
    63,
    125,
    126,
    133
   ],
   [
    44,
    64,
    97,
    127,
    134
   ],
   [
    9,
    45,
    98,
    135,
    140
   ],
   [
    10,
    46,
    95,
    136,
    178
   ],
   [
    47,
    84,
    137,
    161,
    169
   ],
   [
    11,
    48,
    99,
    138,
    143
   ],
   [
    12,
    49,
    96,
    114,
    139
   ],
   [
    13,
    50,
    97,
    140,
    163
   ],
   [
    51,
    54,
    101,
    141,
    176
   ],
   [
    52,
    55,
    117,
    135,
    142
   ],
   [
    53,
    56,
    94,
    136,
    143
   ],
   [
    30,
    54,
    118,
    144,
    149
   ],
   [
    31,
    55,
    99,
    137,
    145
   ],
   [
    32,
    56,
    100,
    146,
    175
   ],
   [
    33,
    57,
    120,
    147,
    151
   ],
   [
    34,
    58,
    101,
    140,
    148
   ],
   [
    35,
    59,
    102,
    106,
    149
   ],
   [
    60,
    77,
    143,
    144,
    150
   ],
   [
    61,
    78,
    108,
    145,
    151
   ],
   [
    22,
    62,
    110,
    152,
    157
   ],
   [
    23,
    63,
    105,
    128,
    153
   ],
   [
    24,
    64,
    106,
    154,
    172
   ],
   [
    25,
    65,
    112,
    155,
    159
   ],
   [
    26,
    66,
    107,
    131,
    156
   ],
   [
    27,
    67,
    100,
    108,
    157
   ],
   [
    68,
    71,
    134,
    152,
    158
   ],
   [
    69,
    72,
    102,
    153,
    159
   ],
   [
    48,
    70,
    135,
    160,
    164
   ],
   [
    49,
    71,
    112,
    154,
    161
   ],
   [
    50,
    72,
    113,
    119,
    162
   ],
   [
    52,
    73,
    115,
    157,
    163
   ],
   [
    53,
    74,
    116,
    121,
    164
   ],
   [
    75,
    86,
    124,
    161,
    165
   ],
   [
    39,
    76,
    126,
    166,
    170
   ],
   [
    40,
    77,
    120,
    146,
    167
   ],
   [
    41,
    78,
    111,
    121,
    168
   ],
   [
    43,
    79,
    123,
    149,
    169
   ],
   [
    44,
    80,
    113,
    124,
    170
   ],
   [
    81,
    83,
    116,
    167,
    171
   ],
   [
    66,
    82,
    129,
    168,
    172
   ],
   [
    67,
    83,
    130,
    136,
    173
   ],
   [
    69,
    84,
    133,
    139,
    174
   ],
   [
    58,
    85,
    138,
    162,
    175
   ],
   [
    59,
    86,
    127,
    139,
    176
   ],
   [
    61,
    87,
    130,
    142,
    177
   ],
   [
    80,
    88,
    148,
    153,
    178
   ],
   [
    74,
    89,
    145,
    156,
    179
   ]
  ],
  "Z": [
   [
    0,
    17,
    23,
    90,
    105
   ],
   [
    1,
    11,
    31,
    91,
    99
   ],
   [
    2,
    30,
    37,
    92,
    118
   ],
   [
    3,
    33,
    40,
    93,
    120
   ],
   [
    4,
    41,
    53,
    94,
    121
   ],
   [
    5,
    22,
    46,
    95,
    110
   ],
   [
    6,
    25,
    49,
    96,
    112
   ],
   [
    7,
    44,
    50,
    97,
    113
   ],
   [
    8,
    12,
    45,
    96,
    98
   ],
   [
    9,
    48,
    55,
    99,
    135
   ],
   [
    10,
    56,
    67,
    100,
    136
   ],
   [
    11,
    51,
    58,
    101,
    138
   ],
   [
    12,
    59,
    69,
    102,
    139
   ],
   [
    9,
    13,
    34,
    103,
    140
   ],
   [
    14,
    18,
    36,
    93,
    104
   ],
   [
    15,
    39,
    63,
    105,
    126
   ],
   [
    16,
    59,
    64,
    106,
    127
   ],
   [
    17,
    42,
    66,
    107,
    129
   ],
   [
    18,
    61,
    67,
    108,
    130
   ],
   [
    15,
    19,
    26,
    109,
    131
   ],
   [
    20,
    26,
    62,
    107,
    110
   ],
   [
    21,
    27,
    78,
    108,
    111
   ],
   [
    22,
    65,
    71,
    112,
    152
   ],
   [
    23,
    72,
    80,
    113,
    153
   ],
   [
    20,
    24,
    49,
    114,
    154
   ],
   [
    1,
    25,
    73,
    115,
    155
   ],
   [
    26,
    74,
    81,
    116,
    156
   ],
   [
    22,
    27,
    52,
    117,
    157
   ],
   [
    28,
    34,
    54,
    101,
    118
   ],
   [
    29,
    35,
    72,
    102,
    119
   ],
   [
    30,
    57,
    77,
    120,
    144
   ],
   [
    31,
    74,
    78,
    121,
    145
   ],
   [
    28,
    32,
    40,
    122,
    146
   ],
   [
    0,
    33,
    79,
    123,
    147
   ],
   [
    34,
    75,
    80,
    124,
    148
   ],
   [
    30,
    35,
    43,
    125,
    149
   ],
   [
    36,
    43,
    76,
    123,
    126
   ],
   [
    37,
    44,
    86,
    124,
    127
   ],
   [
    3,
    38,
    63,
    125,
    128
   ],
   [
    5,
    39,
    82,
    129,
    166
   ],
   [
    40,
    83,
    87,
    130,
    167
   ],
   [
    36,
    41,
    66,
    131,
    168
   ],
   [
    6,
    10,
    42,
    95,
    132
   ],
   [
    19,
    43,
    84,
    133,
    169
   ],
   [
    39,
    44,
    68,
    134,
    170
   ],
   [
    45,
    52,
    70,
    115,
    135
   ],
   [
    46,
    53,
    83,
    116,
    136
   ],
   [
    6,
    47,
    55,
    117,
    137
   ],
   [
    2,
    48,
    85,
    138,
    160
   ],
   [
    49,
    84,
    86,
    139,
    161
   ],
   [
    45,
    50,
    58,
    140,
    162
   ],
   [
    3,
    16,
    51,
    92,
    141
   ],
   [
    13,
    52,
    87,
    142,
    163
   ],
   [
    48,
    53,
    60,
    143,
    164
   ],
   [
    14,
    54,
    60,
    141,
    144
   ],
   [
    55,
    61,
    89,
    142,
    145
   ],
   [
    11,
    56,
    77,
    143,
    146
   ],
   [
    15,
    21,
    57,
    104,
    147
   ],
   [
    32,
    58,
    88,
    148,
    175
   ],
   [
    54,
    59,
    79,
    149,
    176
   ],
   [
    24,
    35,
    60,
    106,
    150
   ],
   [
    7,
    57,
    61,
    151,
    177
   ],
   [
    8,
    62,
    68,
    132,
    152
   ],
   [
    63,
    69,
    88,
    133,
    153
   ],
   [
    17,
    64,
    71,
    134,
    154
   ],
   [
    9,
    29,
    65,
    98,
    155
   ],
   [
    24,
    66,
    89,
    156,
    172
   ],
   [
    62,
    67,
    73,
    157,
    173
   ],
   [
    27,
    32,
    68,
    100,
    158
   ],
   [
    4,
    65,
    69,
    159,
    174
   ],
   [
    4,
    28,
    70,
    91,
    160
   ],
   [
    47,
    71,
    75,
    158,
    161
   ],
   [
    25,
    72,
    85,
    159,
    162
   ],
   [
    38,
    50,
    73,
    119,
    163
   ],
   [
    16,
    70,
    74,
    164,
    179
   ],
   [
    2,
    18,
    75,
    122,
    165
   ],
   [
    7,
    20,
    76,
    90,
    166
   ],
   [
    38,
    77,
    81,
    150,
    167
   ],
   [
    33,
    78,
    82,
    151,
    168
   ],
   [
    41,
    47,
    79,
    111,
    169
   ],
   [
    10,
    76,
    80,
    170,
    178
   ],
   [
    5,
    12,
    81,
    114,
    171
   ],
   [
    13,
    64,
    82,
    97,
    172
   ],
   [
    29,
    42,
    83,
    171,
    173
   ],
   [
    8,
    31,
    84,
    137,
    174
   ],
   [
    19,
    56,
    85,
    94,
    175
   ],
   [
    21,
    51,
    86,
    165,
    176
   ],
   [
    14,
    23,
    87,
    128,
    177
   ],
   [
    0,
    46,
    88,
    109,
    178
   ],
   [
    1,
    37,
    89,
    103,
    179
   ]
  ]
 },
 "distance": {
  "d": 15,
  "X": {
   "value": 15,
   "confidence": "upper_bound",
   "witness": [
    33,
    41,
    56,
    59,
    77,
    79,
    94,
    100,
    106,
    120,
    139,
    150,
    158,
    161,
    168
   ]
  },
  "Z": {
   "value": 15,
   "confidence": "upper_bound",
   "witness": [
    2,
    4,
    5,
    14,
    17,
    20,
    33,
    51,
    57,
    121,
    129,
    141,
    160,
    164,
    168
   ]
  }
 },
 "provenance": {
  "authors": [
   "@MathysRennela"
  ],
  "construction": "2BGA (arXiv:2306.16400) on SmallGroup(90,6), from github.com/QEC-pages/2BGA-codes @ 403d194c3f98f0cadc236aecbc4a8b6139ccf23c, nonabelian.zip, diswtnonabelian_wt5wtL2_order90_k2.txt, line 13. nonidentity supports a=[16], b=[18, 24].",
  "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"
}
