{
 "schema_version": "0.1",
 "name": "[[114,6,13]] 2BGA",
 "code_type": "CSS",
 "n": 114,
 "k": 6,
 "checks": {
  "X": [
   [
    0,
    53,
    57,
    60,
    64,
    82,
    90,
    107
   ],
   [
    1,
    37,
    57,
    58,
    66,
    84,
    86,
    109
   ],
   [
    0,
    2,
    59,
    66,
    85,
    93,
    103,
    110
   ],
   [
    3,
    27,
    58,
    60,
    62,
    80,
    88,
    111
   ],
   [
    4,
    40,
    61,
    62,
    87,
    89,
    105,
    112
   ],
   [
    2,
    5,
    57,
    62,
    67,
    69,
    99,
    106
   ],
   [
    6,
    30,
    63,
    64,
    83,
    91,
    101,
    113
   ],
   [
    7,
    43,
    58,
    64,
    65,
    69,
    95,
    108
   ],
   [
    5,
    8,
    59,
    65,
    70,
    75,
    88,
    102
   ],
   [
    9,
    33,
    60,
    65,
    66,
    67,
    97,
    104
   ],
   [
    10,
    46,
    61,
    67,
    71,
    72,
    90,
    98
   ],
   [
    8,
    11,
    62,
    68,
    78,
    91,
    108,
    109
   ],
   [
    12,
    36,
    63,
    68,
    69,
    73,
    86,
    100
   ],
   [
    13,
    49,
    64,
    70,
    74,
    93,
    104,
    111
   ],
   [
    11,
    14,
    65,
    71,
    73,
    84,
    111,
    112
   ],
   [
    15,
    39,
    66,
    72,
    76,
    89,
    106,
    107
   ],
   [
    16,
    52,
    67,
    73,
    75,
    80,
    107,
    113
   ],
   [
    14,
    17,
    60,
    68,
    74,
    76,
    87,
    94
   ],
   [
    18,
    42,
    69,
    71,
    75,
    82,
    109,
    110
   ],
   [
    19,
    55,
    57,
    70,
    76,
    78,
    83,
    96
   ],
   [
    17,
    20,
    58,
    63,
    71,
    77,
    93,
    97
   ],
   [
    21,
    45,
    58,
    72,
    74,
    78,
    85,
    92
   ],
   [
    1,
    22,
    59,
    60,
    73,
    79,
    89,
    99
   ],
   [
    20,
    23,
    61,
    69,
    74,
    79,
    80,
    96
   ],
   [
    24,
    48,
    57,
    61,
    75,
    81,
    91,
    95
   ],
   [
    4,
    25,
    63,
    65,
    76,
    81,
    82,
    92
   ],
   [
    23,
    26,
    72,
    77,
    82,
    83,
    100,
    102
   ],
   [
    27,
    51,
    59,
    67,
    77,
    78,
    84,
    94
   ],
   [
    7,
    28,
    68,
    79,
    84,
    85,
    98,
    102
   ],
   [
    26,
    29,
    64,
    78,
    80,
    86,
    103,
    105
   ],
   [
    30,
    54,
    70,
    80,
    81,
    87,
    98,
    100
   ],
   [
    10,
    31,
    66,
    74,
    82,
    88,
    101,
    105
   ],
   [
    29,
    32,
    67,
    81,
    83,
    85,
    89,
    111
   ],
   [
    33,
    56,
    62,
    76,
    84,
    90,
    101,
    103
   ],
   [
    13,
    34,
    69,
    77,
    85,
    87,
    91,
    107
   ],
   [
    32,
    35,
    86,
    87,
    88,
    92,
    106,
    113
   ],
   [
    3,
    36,
    65,
    79,
    83,
    87,
    93,
    109
   ],
   [
    16,
    37,
    83,
    88,
    90,
    94,
    108,
    110
   ],
   [
    35,
    38,
    63,
    70,
    89,
    90,
    95,
    109
   ],
   [
    6,
    39,
    85,
    86,
    90,
    96,
    104,
    112
   ],
   [
    19,
    40,
    59,
    72,
    86,
    91,
    97,
    111
   ],
   [
    38,
    41,
    66,
    73,
    91,
    92,
    96,
    98
   ],
   [
    9,
    42,
    61,
    68,
    88,
    93,
    99,
    107
   ],
   [
    22,
    43,
    62,
    75,
    92,
    93,
    94,
    100
   ],
   [
    41,
    44,
    72,
    94,
    95,
    99,
    101,
    112
   ],
   [
    12,
    45,
    64,
    71,
    89,
    94,
    96,
    102
   ],
   [
    25,
    46,
    68,
    95,
    96,
    97,
    103,
    113
   ],
   [
    44,
    47,
    58,
    75,
    76,
    98,
    104,
    105
   ],
   [
    15,
    48,
    70,
    92,
    97,
    99,
    105,
    110
   ],
   [
    28,
    49,
    60,
    71,
    78,
    100,
    101,
    106
   ],
   [
    47,
    50,
    79,
    81,
    97,
    101,
    107,
    108
   ],
   [
    18,
    51,
    57,
    73,
    74,
    102,
    103,
    108
   ],
   [
    31,
    52,
    77,
    81,
    99,
    103,
    104,
    109
   ],
   [
    50,
    53,
    61,
    84,
    100,
    104,
    110,
    113
   ],
   [
    21,
    54,
    77,
    79,
    95,
    105,
    106,
    111
   ],
   [
    34,
    55,
    63,
    80,
    102,
    106,
    110,
    112
   ],
   [
    24,
    56,
    59,
    82,
    98,
    108,
    112,
    113
   ]
  ],
  "Z": [
   [
    0,
    1,
    5,
    19,
    24,
    51,
    57,
    59
   ],
   [
    1,
    3,
    7,
    20,
    21,
    47,
    58,
    79
   ],
   [
    2,
    8,
    22,
    27,
    40,
    56,
    59,
    62
   ],
   [
    0,
    3,
    9,
    17,
    22,
    49,
    60,
    93
   ],
   [
    4,
    10,
    23,
    24,
    42,
    53,
    61,
    82
   ],
   [
    3,
    4,
    5,
    11,
    33,
    43,
    62,
    65
   ],
   [
    6,
    12,
    20,
    25,
    38,
    55,
    63,
    96
   ],
   [
    0,
    6,
    7,
    13,
    29,
    45,
    64,
    85
   ],
   [
    7,
    8,
    9,
    14,
    25,
    36,
    65,
    68
   ],
   [
    1,
    2,
    9,
    15,
    31,
    41,
    66,
    99
   ],
   [
    5,
    9,
    10,
    16,
    27,
    32,
    67,
    88
   ],
   [
    11,
    12,
    17,
    28,
    42,
    46,
    68,
    71
   ],
   [
    5,
    7,
    12,
    18,
    23,
    34,
    69,
    102
   ],
   [
    8,
    13,
    19,
    30,
    38,
    48,
    70,
    91
   ],
   [
    10,
    14,
    18,
    20,
    45,
    49,
    71,
    74
   ],
   [
    10,
    15,
    21,
    26,
    40,
    44,
    72,
    105
   ],
   [
    12,
    14,
    16,
    22,
    41,
    51,
    73,
    94
   ],
   [
    13,
    17,
    21,
    23,
    31,
    51,
    74,
    77
   ],
   [
    8,
    16,
    18,
    24,
    43,
    47,
    75,
    108
   ],
   [
    15,
    17,
    19,
    25,
    33,
    47,
    76,
    97
   ],
   [
    20,
    26,
    27,
    34,
    52,
    54,
    77,
    80
   ],
   [
    11,
    19,
    21,
    27,
    29,
    49,
    78,
    111
   ],
   [
    22,
    23,
    28,
    36,
    50,
    54,
    79,
    100
   ],
   [
    3,
    16,
    23,
    29,
    30,
    55,
    80,
    83
   ],
   [
    24,
    25,
    30,
    32,
    50,
    52,
    81,
    113
   ],
   [
    0,
    18,
    25,
    26,
    31,
    56,
    82,
    103
   ],
   [
    6,
    19,
    26,
    32,
    36,
    37,
    83,
    86
   ],
   [
    1,
    14,
    27,
    28,
    33,
    53,
    60,
    84
   ],
   [
    2,
    21,
    28,
    32,
    34,
    39,
    85,
    106
   ],
   [
    1,
    12,
    29,
    35,
    39,
    40,
    86,
    89
   ],
   [
    4,
    17,
    30,
    34,
    35,
    36,
    63,
    87
   ],
   [
    3,
    8,
    31,
    35,
    37,
    42,
    88,
    109
   ],
   [
    4,
    15,
    22,
    32,
    38,
    45,
    89,
    92
   ],
   [
    0,
    10,
    33,
    37,
    38,
    39,
    66,
    90
   ],
   [
    6,
    11,
    24,
    34,
    40,
    41,
    91,
    112
   ],
   [
    21,
    25,
    35,
    41,
    43,
    48,
    92,
    95
   ],
   [
    2,
    13,
    20,
    36,
    42,
    43,
    69,
    93
   ],
   [
    17,
    27,
    37,
    43,
    44,
    45,
    58,
    94
   ],
   [
    7,
    24,
    38,
    44,
    46,
    54,
    95,
    98
   ],
   [
    19,
    23,
    39,
    41,
    45,
    46,
    72,
    96
   ],
   [
    9,
    20,
    40,
    46,
    48,
    50,
    61,
    97
   ],
   [
    10,
    28,
    30,
    41,
    47,
    56,
    98,
    101
   ],
   [
    5,
    22,
    42,
    44,
    48,
    52,
    75,
    99
   ],
   [
    12,
    26,
    30,
    43,
    49,
    53,
    64,
    100
   ],
   [
    6,
    31,
    33,
    44,
    49,
    50,
    101,
    104
   ],
   [
    8,
    26,
    28,
    45,
    51,
    55,
    78,
    102
   ],
   [
    2,
    29,
    33,
    46,
    51,
    52,
    67,
    103
   ],
   [
    9,
    13,
    39,
    47,
    52,
    53,
    104,
    107
   ],
   [
    4,
    29,
    31,
    47,
    48,
    54,
    81,
    105
   ],
   [
    5,
    15,
    35,
    49,
    54,
    55,
    70,
    106
   ],
   [
    0,
    15,
    16,
    34,
    42,
    50,
    107,
    110
   ],
   [
    7,
    11,
    37,
    50,
    51,
    56,
    84,
    108
   ],
   [
    1,
    11,
    18,
    36,
    38,
    52,
    73,
    109
   ],
   [
    2,
    18,
    37,
    48,
    53,
    55,
    57,
    110
   ],
   [
    3,
    13,
    14,
    32,
    40,
    54,
    87,
    111
   ],
   [
    4,
    14,
    39,
    44,
    55,
    56,
    76,
    112
   ],
   [
    6,
    16,
    35,
    46,
    53,
    56,
    90,
    113
   ]
  ]
 },
 "distance": {
  "d": 13,
  "X": {
   "value": 13,
   "confidence": "upper_bound",
   "witness": [
    3,
    9,
    14,
    16,
    31,
    47,
    56,
    62,
    74,
    84,
    97,
    104,
    107
   ]
  },
  "Z": {
   "value": 13,
   "confidence": "upper_bound",
   "witness": [
    1,
    2,
    3,
    4,
    18,
    22,
    25,
    29,
    32,
    35,
    62,
    103,
    109
   ]
  }
 },
 "provenance": {
  "authors": [
   "@MathysRennela"
  ],
  "construction": "2BGA (arXiv:2306.16400) on SmallGroup(57,1), from github.com/QEC-pages/2BGA-codes @ 403d194c3f98f0cadc236aecbc4a8b6139ccf23c, nonabelian.zip, diswtnonabelian_wt8wtL2_order57_k6.txt, line 10. nonidentity supports a=[3], b=[2, 6, 20, 25, 52].",
  "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"
}
