{
 "schema_version": "0.1",
 "name": "[[140,42,2]] 2BGA",
 "code_type": "CSS",
 "n": 140,
 "k": 42,
 "checks": {
  "X": [
   [
    0,
    1,
    70,
    71,
    124,
    138
   ],
   [
    0,
    1,
    70,
    71,
    120,
    139
   ],
   [
    2,
    4,
    72,
    74,
    75,
    94
   ],
   [
    3,
    5,
    73,
    99,
    110,
    115
   ],
   [
    2,
    4,
    72,
    73,
    74,
    99
   ],
   [
    3,
    5,
    75,
    94,
    110,
    115
   ],
   [
    6,
    9,
    76,
    79,
    80,
    104
   ],
   [
    7,
    10,
    70,
    71,
    77,
    109
   ],
   [
    8,
    11,
    78,
    89,
    120,
    139
   ],
   [
    6,
    9,
    76,
    77,
    79,
    109
   ],
   [
    7,
    10,
    70,
    71,
    80,
    104
   ],
   [
    8,
    11,
    81,
    85,
    124,
    138
   ],
   [
    12,
    16,
    82,
    86,
    87,
    114
   ],
   [
    13,
    17,
    72,
    74,
    83,
    119
   ],
   [
    14,
    18,
    73,
    84,
    98,
    99
   ],
   [
    15,
    19,
    81,
    85,
    128,
    136
   ],
   [
    12,
    16,
    82,
    83,
    86,
    119
   ],
   [
    13,
    17,
    72,
    74,
    87,
    114
   ],
   [
    14,
    18,
    75,
    88,
    93,
    94
   ],
   [
    15,
    19,
    78,
    89,
    131,
    134
   ],
   [
    20,
    25,
    90,
    95,
    96,
    123
   ],
   [
    21,
    26,
    76,
    79,
    91,
    127
   ],
   [
    22,
    27,
    77,
    92,
    108,
    109
   ],
   [
    23,
    28,
    78,
    88,
    89,
    93
   ],
   [
    24,
    29,
    75,
    94,
    131,
    134
   ],
   [
    20,
    25,
    90,
    91,
    95,
    127
   ],
   [
    21,
    26,
    76,
    79,
    96,
    123
   ],
   [
    22,
    27,
    80,
    97,
    103,
    104
   ],
   [
    23,
    28,
    81,
    84,
    85,
    98
   ],
   [
    24,
    29,
    73,
    99,
    128,
    136
   ],
   [
    30,
    35,
    100,
    105,
    106,
    130
   ],
   [
    31,
    36,
    82,
    86,
    101,
    133
   ],
   [
    32,
    37,
    83,
    102,
    118,
    119
   ],
   [
    33,
    38,
    84,
    97,
    98,
    103
   ],
   [
    34,
    39,
    80,
    81,
    85,
    104
   ],
   [
    30,
    35,
    100,
    101,
    105,
    133
   ],
   [
    31,
    36,
    82,
    86,
    106,
    130
   ],
   [
    32,
    37,
    87,
    107,
    113,
    114
   ],
   [
    33,
    38,
    88,
    92,
    93,
    108
   ],
   [
    34,
    39,
    77,
    78,
    89,
    109
   ],
   [
    40,
    45,
    110,
    115,
    116,
    135
   ],
   [
    41,
    46,
    90,
    95,
    111,
    137
   ],
   [
    42,
    47,
    91,
    112,
    126,
    127
   ],
   [
    43,
    48,
    92,
    107,
    108,
    113
   ],
   [
    44,
    49,
    87,
    88,
    93,
    114
   ],
   [
    40,
    45,
    110,
    111,
    115,
    137
   ],
   [
    41,
    46,
    90,
    95,
    116,
    135
   ],
   [
    42,
    47,
    96,
    117,
    122,
    123
   ],
   [
    43,
    48,
    97,
    102,
    103,
    118
   ],
   [
    44,
    49,
    83,
    84,
    98,
    119
   ],
   [
    50,
    54,
    100,
    105,
    120,
    139
   ],
   [
    51,
    55,
    101,
    121,
    132,
    133
   ],
   [
    52,
    56,
    102,
    117,
    118,
    122
   ],
   [
    53,
    57,
    96,
    97,
    103,
    123
   ],
   [
    50,
    54,
    100,
    105,
    124,
    138
   ],
   [
    51,
    55,
    106,
    125,
    129,
    130
   ],
   [
    52,
    56,
    107,
    112,
    113,
    126
   ],
   [
    53,
    57,
    91,
    92,
    108,
    127
   ],
   [
    58,
    61,
    111,
    128,
    136,
    137
   ],
   [
    59,
    62,
    112,
    125,
    126,
    129
   ],
   [
    60,
    63,
    106,
    107,
    113,
    130
   ],
   [
    58,
    61,
    116,
    131,
    134,
    135
   ],
   [
    59,
    62,
    117,
    121,
    122,
    132
   ],
   [
    60,
    63,
    101,
    102,
    118,
    133
   ],
   [
    64,
    66,
    121,
    131,
    132,
    134
   ],
   [
    65,
    67,
    116,
    117,
    122,
    135
   ],
   [
    64,
    66,
    125,
    128,
    129,
    136
   ],
   [
    65,
    67,
    111,
    112,
    126,
    137
   ],
   [
    68,
    69,
    124,
    125,
    129,
    138
   ],
   [
    68,
    69,
    120,
    121,
    132,
    139
   ]
  ],
  "Z": [
   [
    0,
    1,
    7,
    10,
    70,
    71
   ],
   [
    0,
    1,
    7,
    10,
    70,
    71
   ],
   [
    2,
    4,
    13,
    17,
    72,
    74
   ],
   [
    3,
    4,
    14,
    29,
    73,
    75
   ],
   [
    2,
    4,
    13,
    17,
    72,
    74
   ],
   [
    2,
    5,
    18,
    24,
    73,
    75
   ],
   [
    6,
    9,
    21,
    26,
    76,
    79
   ],
   [
    7,
    9,
    22,
    39,
    77,
    80
   ],
   [
    8,
    19,
    23,
    39,
    78,
    81
   ],
   [
    6,
    9,
    21,
    26,
    76,
    79
   ],
   [
    6,
    10,
    27,
    34,
    77,
    80
   ],
   [
    11,
    15,
    28,
    34,
    78,
    81
   ],
   [
    12,
    16,
    31,
    36,
    82,
    86
   ],
   [
    13,
    16,
    32,
    49,
    83,
    87
   ],
   [
    14,
    28,
    33,
    49,
    84,
    88
   ],
   [
    11,
    15,
    28,
    34,
    85,
    89
   ],
   [
    12,
    16,
    31,
    36,
    82,
    86
   ],
   [
    12,
    17,
    37,
    44,
    83,
    87
   ],
   [
    18,
    23,
    38,
    44,
    84,
    88
   ],
   [
    8,
    19,
    23,
    39,
    85,
    89
   ],
   [
    20,
    25,
    41,
    46,
    90,
    95
   ],
   [
    21,
    25,
    42,
    57,
    91,
    96
   ],
   [
    22,
    38,
    43,
    57,
    92,
    97
   ],
   [
    18,
    23,
    38,
    44,
    93,
    98
   ],
   [
    2,
    5,
    18,
    24,
    94,
    99
   ],
   [
    20,
    25,
    41,
    46,
    90,
    95
   ],
   [
    20,
    26,
    47,
    53,
    91,
    96
   ],
   [
    27,
    33,
    48,
    53,
    92,
    97
   ],
   [
    14,
    28,
    33,
    49,
    93,
    98
   ],
   [
    3,
    4,
    14,
    29,
    94,
    99
   ],
   [
    30,
    35,
    50,
    54,
    100,
    105
   ],
   [
    31,
    35,
    51,
    63,
    101,
    106
   ],
   [
    32,
    48,
    52,
    63,
    102,
    107
   ],
   [
    27,
    33,
    48,
    53,
    103,
    108
   ],
   [
    6,
    10,
    27,
    34,
    104,
    109
   ],
   [
    30,
    35,
    50,
    54,
    100,
    105
   ],
   [
    30,
    36,
    55,
    60,
    101,
    106
   ],
   [
    37,
    43,
    56,
    60,
    102,
    107
   ],
   [
    22,
    38,
    43,
    57,
    103,
    108
   ],
   [
    7,
    9,
    22,
    39,
    104,
    109
   ],
   [
    3,
    5,
    40,
    45,
    110,
    115
   ],
   [
    41,
    45,
    58,
    67,
    111,
    116
   ],
   [
    42,
    56,
    59,
    67,
    112,
    117
   ],
   [
    37,
    43,
    56,
    60,
    113,
    118
   ],
   [
    12,
    17,
    37,
    44,
    114,
    119
   ],
   [
    3,
    5,
    40,
    45,
    110,
    115
   ],
   [
    40,
    46,
    61,
    65,
    111,
    116
   ],
   [
    47,
    52,
    62,
    65,
    112,
    117
   ],
   [
    32,
    48,
    52,
    63,
    113,
    118
   ],
   [
    13,
    16,
    32,
    49,
    114,
    119
   ],
   [
    1,
    8,
    50,
    69,
    120,
    124
   ],
   [
    51,
    62,
    64,
    69,
    121,
    125
   ],
   [
    47,
    52,
    62,
    65,
    122,
    126
   ],
   [
    20,
    26,
    47,
    53,
    123,
    127
   ],
   [
    0,
    11,
    54,
    68,
    120,
    124
   ],
   [
    55,
    59,
    66,
    68,
    121,
    125
   ],
   [
    42,
    56,
    59,
    67,
    122,
    126
   ],
   [
    21,
    25,
    42,
    57,
    123,
    127
   ],
   [
    15,
    29,
    58,
    66,
    128,
    131
   ],
   [
    55,
    59,
    66,
    68,
    129,
    132
   ],
   [
    30,
    36,
    55,
    60,
    130,
    133
   ],
   [
    19,
    24,
    61,
    64,
    128,
    131
   ],
   [
    51,
    62,
    64,
    69,
    129,
    132
   ],
   [
    31,
    35,
    51,
    63,
    130,
    133
   ],
   [
    19,
    24,
    61,
    64,
    134,
    136
   ],
   [
    40,
    46,
    61,
    65,
    135,
    137
   ],
   [
    15,
    29,
    58,
    66,
    134,
    136
   ],
   [
    41,
    45,
    58,
    67,
    135,
    137
   ],
   [
    0,
    11,
    54,
    68,
    138,
    139
   ],
   [
    1,
    8,
    50,
    69,
    138,
    139
   ]
  ]
 },
 "distance": {
  "d": 2,
  "X": {
   "value": 2,
   "confidence": "upper_bound",
   "witness": [
    82,
    86
   ]
  },
  "Z": {
   "value": 2,
   "confidence": "upper_bound",
   "witness": [
    52,
    56
   ]
  }
 },
 "provenance": {
  "authors": [
   "@MathysRennela"
  ],
  "construction": "2BGA (arXiv:2306.16400) on SmallGroup(70,1), from github.com/QEC-pages/2BGA-codes @ 403d194c3f98f0cadc236aecbc4a8b6139ccf23c, nonabelian.zip, diswtnonabelian_wt6wtL2_order70_k42.txt, line 1. nonidentity supports a=[2], b=[2, 8, 11].",
  "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"
}