{
 "schema_version": "0.1",
 "name": "[[116,2,15]] 2BGA",
 "code_type": "CSS",
 "n": 116,
 "k": 2,
 "checks": {
  "X": [
   [
    0,
    56,
    58,
    59,
    68,
    92,
    110,
    114
   ],
   [
    1,
    3,
    58,
    59,
    69,
    93,
    111,
    115
   ],
   [
    0,
    2,
    58,
    60,
    70,
    94,
    112,
    115
   ],
   [
    3,
    5,
    59,
    61,
    71,
    95,
    113,
    114
   ],
   [
    2,
    4,
    60,
    62,
    72,
    96,
    113,
    114
   ],
   [
    5,
    7,
    61,
    63,
    73,
    97,
    112,
    115
   ],
   [
    4,
    6,
    58,
    62,
    64,
    74,
    98,
    111
   ],
   [
    7,
    9,
    59,
    63,
    65,
    75,
    99,
    110
   ],
   [
    6,
    8,
    60,
    64,
    66,
    76,
    100,
    109
   ],
   [
    9,
    11,
    61,
    65,
    67,
    77,
    101,
    108
   ],
   [
    8,
    10,
    62,
    66,
    68,
    78,
    102,
    107
   ],
   [
    11,
    13,
    63,
    67,
    69,
    79,
    103,
    106
   ],
   [
    10,
    12,
    64,
    68,
    70,
    80,
    104,
    105
   ],
   [
    13,
    15,
    65,
    69,
    71,
    81,
    104,
    105
   ],
   [
    12,
    14,
    66,
    70,
    72,
    82,
    103,
    106
   ],
   [
    15,
    17,
    67,
    71,
    73,
    83,
    102,
    107
   ],
   [
    14,
    16,
    68,
    72,
    74,
    84,
    101,
    108
   ],
   [
    17,
    19,
    69,
    73,
    75,
    85,
    100,
    109
   ],
   [
    16,
    18,
    70,
    74,
    76,
    86,
    99,
    110
   ],
   [
    19,
    21,
    71,
    75,
    77,
    87,
    98,
    111
   ],
   [
    18,
    20,
    72,
    76,
    78,
    88,
    97,
    112
   ],
   [
    21,
    23,
    73,
    77,
    79,
    89,
    96,
    113
   ],
   [
    20,
    22,
    74,
    78,
    80,
    90,
    95,
    114
   ],
   [
    23,
    25,
    75,
    79,
    81,
    91,
    94,
    115
   ],
   [
    22,
    24,
    58,
    76,
    80,
    82,
    92,
    93
   ],
   [
    25,
    27,
    59,
    77,
    81,
    83,
    92,
    93
   ],
   [
    24,
    26,
    60,
    78,
    82,
    84,
    91,
    94
   ],
   [
    27,
    29,
    61,
    79,
    83,
    85,
    90,
    95
   ],
   [
    26,
    28,
    62,
    80,
    84,
    86,
    89,
    96
   ],
   [
    29,
    31,
    63,
    81,
    85,
    87,
    88,
    97
   ],
   [
    28,
    30,
    64,
    82,
    86,
    87,
    88,
    98
   ],
   [
    31,
    33,
    65,
    83,
    86,
    87,
    89,
    99
   ],
   [
    30,
    32,
    66,
    84,
    85,
    88,
    90,
    100
   ],
   [
    33,
    35,
    67,
    84,
    85,
    89,
    91,
    101
   ],
   [
    32,
    34,
    68,
    83,
    86,
    90,
    92,
    102
   ],
   [
    35,
    37,
    69,
    82,
    87,
    91,
    93,
    103
   ],
   [
    34,
    36,
    70,
    81,
    88,
    92,
    94,
    104
   ],
   [
    37,
    39,
    71,
    80,
    89,
    93,
    95,
    105
   ],
   [
    36,
    38,
    72,
    79,
    90,
    94,
    96,
    106
   ],
   [
    39,
    41,
    73,
    78,
    91,
    95,
    97,
    107
   ],
   [
    38,
    40,
    74,
    77,
    92,
    96,
    98,
    108
   ],
   [
    41,
    43,
    75,
    76,
    93,
    97,
    99,
    109
   ],
   [
    40,
    42,
    75,
    76,
    94,
    98,
    100,
    110
   ],
   [
    43,
    45,
    74,
    77,
    95,
    99,
    101,
    111
   ],
   [
    42,
    44,
    73,
    78,
    96,
    100,
    102,
    112
   ],
   [
    45,
    47,
    72,
    79,
    97,
    101,
    103,
    113
   ],
   [
    44,
    46,
    71,
    80,
    98,
    102,
    104,
    114
   ],
   [
    47,
    49,
    70,
    81,
    99,
    103,
    105,
    115
   ],
   [
    46,
    48,
    58,
    69,
    82,
    100,
    104,
    106
   ],
   [
    49,
    51,
    59,
    68,
    83,
    101,
    105,
    107
   ],
   [
    48,
    50,
    60,
    67,
    84,
    102,
    106,
    108
   ],
   [
    51,
    53,
    61,
    66,
    85,
    103,
    107,
    109
   ],
   [
    50,
    52,
    62,
    65,
    86,
    104,
    108,
    110
   ],
   [
    53,
    55,
    63,
    64,
    87,
    105,
    109,
    111
   ],
   [
    52,
    54,
    63,
    64,
    88,
    106,
    110,
    112
   ],
   [
    55,
    57,
    62,
    65,
    89,
    107,
    111,
    113
   ],
   [
    54,
    56,
    61,
    66,
    90,
    108,
    112,
    114
   ],
   [
    1,
    57,
    60,
    67,
    91,
    109,
    113,
    115
   ]
  ],
  "Z": [
   [
    0,
    1,
    2,
    6,
    24,
    48,
    58,
    60
   ],
   [
    0,
    1,
    3,
    7,
    25,
    49,
    59,
    115
   ],
   [
    2,
    4,
    8,
    26,
    50,
    57,
    60,
    62
   ],
   [
    3,
    5,
    9,
    27,
    51,
    56,
    59,
    61
   ],
   [
    4,
    6,
    10,
    28,
    52,
    55,
    62,
    64
   ],
   [
    5,
    7,
    11,
    29,
    53,
    54,
    61,
    63
   ],
   [
    6,
    8,
    12,
    30,
    53,
    54,
    64,
    66
   ],
   [
    7,
    9,
    13,
    31,
    52,
    55,
    63,
    65
   ],
   [
    8,
    10,
    14,
    32,
    51,
    56,
    66,
    68
   ],
   [
    9,
    11,
    15,
    33,
    50,
    57,
    65,
    67
   ],
   [
    0,
    10,
    12,
    16,
    34,
    49,
    68,
    70
   ],
   [
    1,
    11,
    13,
    17,
    35,
    48,
    67,
    69
   ],
   [
    2,
    12,
    14,
    18,
    36,
    47,
    70,
    72
   ],
   [
    3,
    13,
    15,
    19,
    37,
    46,
    69,
    71
   ],
   [
    4,
    14,
    16,
    20,
    38,
    45,
    72,
    74
   ],
   [
    5,
    15,
    17,
    21,
    39,
    44,
    71,
    73
   ],
   [
    6,
    16,
    18,
    22,
    40,
    43,
    74,
    76
   ],
   [
    7,
    17,
    19,
    23,
    41,
    42,
    73,
    75
   ],
   [
    8,
    18,
    20,
    24,
    41,
    42,
    76,
    78
   ],
   [
    9,
    19,
    21,
    25,
    40,
    43,
    75,
    77
   ],
   [
    10,
    20,
    22,
    26,
    39,
    44,
    78,
    80
   ],
   [
    11,
    21,
    23,
    27,
    38,
    45,
    77,
    79
   ],
   [
    12,
    22,
    24,
    28,
    37,
    46,
    80,
    82
   ],
   [
    13,
    23,
    25,
    29,
    36,
    47,
    79,
    81
   ],
   [
    14,
    24,
    26,
    30,
    35,
    48,
    82,
    84
   ],
   [
    15,
    25,
    27,
    31,
    34,
    49,
    81,
    83
   ],
   [
    16,
    26,
    28,
    32,
    33,
    50,
    84,
    86
   ],
   [
    17,
    27,
    29,
    32,
    33,
    51,
    83,
    85
   ],
   [
    18,
    28,
    30,
    31,
    34,
    52,
    86,
    88
   ],
   [
    19,
    29,
    30,
    31,
    35,
    53,
    85,
    87
   ],
   [
    20,
    29,
    30,
    32,
    36,
    54,
    88,
    90
   ],
   [
    21,
    28,
    31,
    33,
    37,
    55,
    87,
    89
   ],
   [
    22,
    27,
    32,
    34,
    38,
    56,
    90,
    92
   ],
   [
    23,
    26,
    33,
    35,
    39,
    57,
    89,
    91
   ],
   [
    0,
    24,
    25,
    34,
    36,
    40,
    92,
    94
   ],
   [
    1,
    24,
    25,
    35,
    37,
    41,
    91,
    93
   ],
   [
    2,
    23,
    26,
    36,
    38,
    42,
    94,
    96
   ],
   [
    3,
    22,
    27,
    37,
    39,
    43,
    93,
    95
   ],
   [
    4,
    21,
    28,
    38,
    40,
    44,
    96,
    98
   ],
   [
    5,
    20,
    29,
    39,
    41,
    45,
    95,
    97
   ],
   [
    6,
    19,
    30,
    40,
    42,
    46,
    98,
    100
   ],
   [
    7,
    18,
    31,
    41,
    43,
    47,
    97,
    99
   ],
   [
    8,
    17,
    32,
    42,
    44,
    48,
    100,
    102
   ],
   [
    9,
    16,
    33,
    43,
    45,
    49,
    99,
    101
   ],
   [
    10,
    15,
    34,
    44,
    46,
    50,
    102,
    104
   ],
   [
    11,
    14,
    35,
    45,
    47,
    51,
    101,
    103
   ],
   [
    12,
    13,
    36,
    46,
    48,
    52,
    104,
    106
   ],
   [
    12,
    13,
    37,
    47,
    49,
    53,
    103,
    105
   ],
   [
    11,
    14,
    38,
    48,
    50,
    54,
    106,
    108
   ],
   [
    10,
    15,
    39,
    49,
    51,
    55,
    105,
    107
   ],
   [
    9,
    16,
    40,
    50,
    52,
    56,
    108,
    110
   ],
   [
    8,
    17,
    41,
    51,
    53,
    57,
    107,
    109
   ],
   [
    0,
    7,
    18,
    42,
    52,
    54,
    110,
    112
   ],
   [
    1,
    6,
    19,
    43,
    53,
    55,
    109,
    111
   ],
   [
    2,
    5,
    20,
    44,
    54,
    56,
    112,
    114
   ],
   [
    3,
    4,
    21,
    45,
    55,
    57,
    111,
    113
   ],
   [
    0,
    3,
    4,
    22,
    46,
    56,
    58,
    114
   ],
   [
    1,
    2,
    5,
    23,
    47,
    57,
    113,
    115
   ]
  ]
 },
 "distance": {
  "d": 15,
  "X": {
   "value": 15,
   "confidence": "upper_bound",
   "witness": [
    12,
    30,
    35,
    37,
    69,
    70,
    88,
    89,
    95,
    97,
    99,
    100,
    101,
    102,
    104
   ]
  },
  "Z": {
   "value": 15,
   "confidence": "upper_bound",
   "witness": [
    7,
    13,
    25,
    39,
    41,
    43,
    45,
    46,
    47,
    49,
    52,
    63,
    81,
    104,
    105
   ]
  }
 },
 "provenance": {
  "authors": [
   "@MathysRennela"
  ],
  "construction": "2BGA (arXiv:2306.16400) on SmallGroup(58,1), from github.com/QEC-pages/2BGA-codes @ 403d194c3f98f0cadc236aecbc4a8b6139ccf23c, nonabelian.zip, diswtnonabelian_wt8wtL2_order58_k2.txt, line 8. nonidentity supports a=[3], b=[2, 3, 7, 25, 49].",
  "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"
}
