{
 "schema_version": "0.1",
 "name": "[[126,46,3]] 2BGA",
 "code_type": "CSS",
 "n": 126,
 "k": 46,
 "checks": {
  "X": [
   [
    0,
    4,
    7,
    18,
    63,
    70,
    107,
    121
   ],
   [
    0,
    1,
    7,
    12,
    64,
    75,
    113,
    124
   ],
   [
    0,
    2,
    4,
    10,
    63,
    65,
    107,
    115
   ],
   [
    3,
    11,
    15,
    27,
    63,
    66,
    70,
    78
   ],
   [
    1,
    4,
    12,
    18,
    67,
    81,
    118,
    125
   ],
   [
    0,
    1,
    2,
    5,
    64,
    68,
    113,
    120
   ],
   [
    3,
    6,
    15,
    21,
    64,
    69,
    75,
    84
   ],
   [
    2,
    7,
    10,
    18,
    65,
    70,
    115,
    121
   ],
   [
    3,
    8,
    11,
    19,
    63,
    65,
    66,
    71
   ],
   [
    9,
    20,
    24,
    36,
    66,
    72,
    78,
    87
   ],
   [
    1,
    4,
    5,
    10,
    67,
    73,
    118,
    123
   ],
   [
    6,
    11,
    21,
    27,
    67,
    74,
    81,
    90
   ],
   [
    2,
    5,
    7,
    12,
    68,
    75,
    120,
    124
   ],
   [
    3,
    6,
    8,
    13,
    64,
    68,
    69,
    76
   ],
   [
    9,
    14,
    24,
    30,
    69,
    77,
    84,
    93
   ],
   [
    8,
    15,
    19,
    27,
    65,
    70,
    71,
    78
   ],
   [
    9,
    16,
    20,
    28,
    66,
    71,
    72,
    79
   ],
   [
    17,
    29,
    33,
    45,
    72,
    80,
    87,
    96
   ],
   [
    5,
    10,
    12,
    18,
    73,
    81,
    123,
    125
   ],
   [
    6,
    11,
    13,
    19,
    67,
    73,
    74,
    82
   ],
   [
    14,
    20,
    30,
    36,
    74,
    83,
    90,
    99
   ],
   [
    8,
    13,
    15,
    21,
    68,
    75,
    76,
    84
   ],
   [
    9,
    14,
    16,
    22,
    69,
    76,
    77,
    85
   ],
   [
    17,
    23,
    33,
    39,
    77,
    86,
    93,
    102
   ],
   [
    16,
    24,
    28,
    36,
    71,
    78,
    79,
    87
   ],
   [
    17,
    25,
    29,
    37,
    72,
    79,
    80,
    88
   ],
   [
    26,
    38,
    42,
    53,
    80,
    89,
    96,
    105
   ],
   [
    13,
    19,
    21,
    27,
    73,
    81,
    82,
    90
   ],
   [
    14,
    20,
    22,
    28,
    74,
    82,
    83,
    91
   ],
   [
    23,
    29,
    39,
    45,
    83,
    92,
    99,
    108
   ],
   [
    16,
    22,
    24,
    30,
    76,
    84,
    85,
    93
   ],
   [
    17,
    23,
    25,
    31,
    77,
    85,
    86,
    94
   ],
   [
    26,
    32,
    42,
    48,
    86,
    95,
    102,
    111
   ],
   [
    25,
    33,
    37,
    45,
    79,
    87,
    88,
    96
   ],
   [
    26,
    34,
    38,
    46,
    80,
    88,
    89,
    97
   ],
   [
    35,
    47,
    51,
    59,
    89,
    98,
    105,
    114
   ],
   [
    22,
    28,
    30,
    36,
    82,
    90,
    91,
    99
   ],
   [
    23,
    29,
    31,
    37,
    83,
    91,
    92,
    100
   ],
   [
    32,
    38,
    48,
    53,
    92,
    101,
    108,
    116
   ],
   [
    25,
    31,
    33,
    39,
    85,
    93,
    94,
    102
   ],
   [
    26,
    32,
    34,
    40,
    86,
    94,
    95,
    103
   ],
   [
    35,
    41,
    51,
    56,
    95,
    104,
    111,
    119
   ],
   [
    34,
    42,
    46,
    53,
    88,
    96,
    97,
    105
   ],
   [
    35,
    43,
    47,
    54,
    89,
    97,
    98,
    106
   ],
   [
    44,
    55,
    58,
    62,
    98,
    107,
    114,
    121
   ],
   [
    31,
    37,
    39,
    45,
    91,
    99,
    100,
    108
   ],
   [
    32,
    38,
    40,
    46,
    92,
    100,
    101,
    109
   ],
   [
    41,
    47,
    56,
    59,
    101,
    110,
    116,
    122
   ],
   [
    34,
    40,
    42,
    48,
    94,
    102,
    103,
    111
   ],
   [
    35,
    41,
    43,
    49,
    95,
    103,
    104,
    112
   ],
   [
    44,
    50,
    58,
    61,
    104,
    113,
    119,
    124
   ],
   [
    43,
    51,
    54,
    59,
    97,
    105,
    106,
    114
   ],
   [
    44,
    52,
    55,
    60,
    98,
    106,
    107,
    115
   ],
   [
    40,
    46,
    48,
    53,
    100,
    108,
    109,
    116
   ],
   [
    41,
    47,
    49,
    54,
    101,
    109,
    110,
    117
   ],
   [
    50,
    55,
    61,
    62,
    110,
    118,
    122,
    125
   ],
   [
    43,
    49,
    51,
    56,
    103,
    111,
    112,
    119
   ],
   [
    44,
    50,
    52,
    57,
    104,
    112,
    113,
    120
   ],
   [
    52,
    58,
    60,
    62,
    106,
    114,
    115,
    121
   ],
   [
    49,
    54,
    56,
    59,
    109,
    116,
    117,
    122
   ],
   [
    50,
    55,
    57,
    60,
    110,
    117,
    118,
    123
   ],
   [
    52,
    57,
    58,
    61,
    112,
    119,
    120,
    124
   ],
   [
    57,
    60,
    61,
    62,
    117,
    122,
    123,
    125
   ]
  ],
  "Z": [
   [
    0,
    2,
    3,
    8,
    63,
    64,
    65,
    68
   ],
   [
    1,
    5,
    6,
    13,
    64,
    67,
    68,
    73
   ],
   [
    2,
    7,
    8,
    15,
    65,
    68,
    70,
    75
   ],
   [
    3,
    8,
    9,
    16,
    66,
    69,
    71,
    76
   ],
   [
    4,
    10,
    11,
    19,
    63,
    65,
    67,
    73
   ],
   [
    5,
    12,
    13,
    21,
    68,
    73,
    75,
    81
   ],
   [
    6,
    13,
    14,
    22,
    69,
    74,
    76,
    82
   ],
   [
    0,
    3,
    7,
    15,
    63,
    64,
    70,
    75
   ],
   [
    8,
    15,
    16,
    24,
    71,
    76,
    78,
    84
   ],
   [
    9,
    16,
    17,
    25,
    72,
    77,
    79,
    85
   ],
   [
    10,
    18,
    19,
    27,
    65,
    70,
    73,
    81
   ],
   [
    11,
    19,
    20,
    28,
    66,
    71,
    74,
    82
   ],
   [
    1,
    6,
    12,
    21,
    64,
    67,
    75,
    81
   ],
   [
    13,
    21,
    22,
    30,
    76,
    82,
    84,
    90
   ],
   [
    14,
    22,
    23,
    31,
    77,
    83,
    85,
    91
   ],
   [
    3,
    9,
    15,
    24,
    66,
    69,
    78,
    84
   ],
   [
    16,
    24,
    25,
    33,
    79,
    85,
    87,
    93
   ],
   [
    17,
    25,
    26,
    34,
    80,
    86,
    88,
    94
   ],
   [
    4,
    11,
    18,
    27,
    63,
    67,
    70,
    81
   ],
   [
    19,
    27,
    28,
    36,
    71,
    78,
    82,
    90
   ],
   [
    20,
    28,
    29,
    37,
    72,
    79,
    83,
    91
   ],
   [
    6,
    14,
    21,
    30,
    69,
    74,
    84,
    90
   ],
   [
    22,
    30,
    31,
    39,
    85,
    91,
    93,
    99
   ],
   [
    23,
    31,
    32,
    40,
    86,
    92,
    94,
    100
   ],
   [
    9,
    17,
    24,
    33,
    72,
    77,
    87,
    93
   ],
   [
    25,
    33,
    34,
    42,
    88,
    94,
    96,
    102
   ],
   [
    26,
    34,
    35,
    43,
    89,
    95,
    97,
    103
   ],
   [
    11,
    20,
    27,
    36,
    66,
    74,
    78,
    90
   ],
   [
    28,
    36,
    37,
    45,
    79,
    87,
    91,
    99
   ],
   [
    29,
    37,
    38,
    46,
    80,
    88,
    92,
    100
   ],
   [
    14,
    23,
    30,
    39,
    77,
    83,
    93,
    99
   ],
   [
    31,
    39,
    40,
    48,
    94,
    100,
    102,
    108
   ],
   [
    32,
    40,
    41,
    49,
    95,
    101,
    103,
    109
   ],
   [
    17,
    26,
    33,
    42,
    80,
    86,
    96,
    102
   ],
   [
    34,
    42,
    43,
    51,
    97,
    103,
    105,
    111
   ],
   [
    35,
    43,
    44,
    52,
    98,
    104,
    106,
    112
   ],
   [
    20,
    29,
    36,
    45,
    72,
    83,
    87,
    99
   ],
   [
    37,
    45,
    46,
    53,
    88,
    96,
    100,
    108
   ],
   [
    38,
    46,
    47,
    54,
    89,
    97,
    101,
    109
   ],
   [
    23,
    32,
    39,
    48,
    86,
    92,
    102,
    108
   ],
   [
    40,
    48,
    49,
    56,
    103,
    109,
    111,
    116
   ],
   [
    41,
    49,
    50,
    57,
    104,
    110,
    112,
    117
   ],
   [
    26,
    35,
    42,
    51,
    89,
    95,
    105,
    111
   ],
   [
    43,
    51,
    52,
    58,
    106,
    112,
    114,
    119
   ],
   [
    0,
    2,
    44,
    52,
    107,
    113,
    115,
    120
   ],
   [
    29,
    38,
    45,
    53,
    80,
    92,
    96,
    108
   ],
   [
    46,
    53,
    54,
    59,
    97,
    105,
    109,
    116
   ],
   [
    47,
    54,
    55,
    60,
    98,
    106,
    110,
    117
   ],
   [
    32,
    41,
    48,
    56,
    95,
    101,
    111,
    116
   ],
   [
    49,
    56,
    57,
    61,
    112,
    117,
    119,
    122
   ],
   [
    1,
    5,
    50,
    57,
    113,
    118,
    120,
    123
   ],
   [
    35,
    44,
    51,
    58,
    98,
    104,
    114,
    119
   ],
   [
    2,
    7,
    52,
    58,
    115,
    120,
    121,
    124
   ],
   [
    38,
    47,
    53,
    59,
    89,
    101,
    105,
    116
   ],
   [
    54,
    59,
    60,
    62,
    106,
    114,
    117,
    122
   ],
   [
    4,
    10,
    55,
    60,
    107,
    115,
    118,
    123
   ],
   [
    41,
    50,
    56,
    61,
    104,
    110,
    119,
    122
   ],
   [
    5,
    12,
    57,
    61,
    120,
    123,
    124,
    125
   ],
   [
    0,
    7,
    44,
    58,
    107,
    113,
    121,
    124
   ],
   [
    47,
    55,
    59,
    62,
    98,
    110,
    114,
    122
   ],
   [
    10,
    18,
    60,
    62,
    115,
    121,
    123,
    125
   ],
   [
    1,
    12,
    50,
    61,
    113,
    118,
    124,
    125
   ],
   [
    4,
    18,
    55,
    62,
    107,
    118,
    121,
    125
   ]
  ]
 },
 "distance": {
  "d": 3,
  "X": {
   "value": 3,
   "confidence": "upper_bound",
   "witness": [
    80,
    86,
    92
   ]
  },
  "Z": {
   "value": 3,
   "confidence": "upper_bound",
   "witness": [
    38,
    46,
    53
   ]
  }
 },
 "provenance": {
  "authors": [
   "@MathysRennela"
  ],
  "construction": "2BGA (arXiv:2306.16400) on SmallGroup(63,3), from github.com/QEC-pages/2BGA-codes @ 403d194c3f98f0cadc236aecbc4a8b6139ccf23c, nonabelian.zip, diswtnonabelian_wt8wtL4_order63_k46.txt, line 1. nonidentity supports a=[2, 3, 6], b=[3, 4, 9].",
  "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"
}