{
 "schema_version": "0.1",
 "name": "[[90,28,2]] 2BGA",
 "code_type": "CSS",
 "n": 90,
 "k": 28,
 "checks": {
  "X": [
   [
    0,
    1,
    4,
    45,
    52,
    71,
    85
   ],
   [
    0,
    1,
    4,
    46,
    57,
    77,
    88
   ],
   [
    2,
    5,
    10,
    45,
    47,
    71,
    79
   ],
   [
    3,
    6,
    11,
    45,
    48,
    52,
    60
   ],
   [
    0,
    1,
    4,
    49,
    63,
    82,
    89
   ],
   [
    2,
    5,
    10,
    46,
    50,
    77,
    84
   ],
   [
    3,
    6,
    11,
    46,
    51,
    57,
    66
   ],
   [
    7,
    12,
    18,
    47,
    52,
    79,
    85
   ],
   [
    8,
    13,
    19,
    45,
    47,
    48,
    53
   ],
   [
    9,
    14,
    20,
    48,
    54,
    60,
    69
   ],
   [
    2,
    5,
    10,
    49,
    55,
    82,
    87
   ],
   [
    3,
    6,
    11,
    49,
    56,
    63,
    72
   ],
   [
    7,
    12,
    18,
    50,
    57,
    84,
    88
   ],
   [
    8,
    13,
    19,
    46,
    50,
    51,
    58
   ],
   [
    9,
    14,
    20,
    51,
    59,
    66,
    75
   ],
   [
    15,
    21,
    27,
    47,
    52,
    53,
    60
   ],
   [
    16,
    22,
    28,
    48,
    53,
    54,
    61
   ],
   [
    17,
    23,
    29,
    54,
    62,
    69,
    78
   ],
   [
    7,
    12,
    18,
    55,
    63,
    87,
    89
   ],
   [
    8,
    13,
    19,
    49,
    55,
    56,
    64
   ],
   [
    9,
    14,
    20,
    56,
    65,
    72,
    80
   ],
   [
    15,
    21,
    27,
    50,
    57,
    58,
    66
   ],
   [
    16,
    22,
    28,
    51,
    58,
    59,
    67
   ],
   [
    17,
    23,
    29,
    59,
    68,
    75,
    83
   ],
   [
    24,
    30,
    35,
    53,
    60,
    61,
    69
   ],
   [
    25,
    31,
    36,
    54,
    61,
    62,
    70
   ],
   [
    26,
    32,
    37,
    62,
    71,
    78,
    85
   ],
   [
    15,
    21,
    27,
    55,
    63,
    64,
    72
   ],
   [
    16,
    22,
    28,
    56,
    64,
    65,
    73
   ],
   [
    17,
    23,
    29,
    65,
    74,
    80,
    86
   ],
   [
    24,
    30,
    35,
    58,
    66,
    67,
    75
   ],
   [
    25,
    31,
    36,
    59,
    67,
    68,
    76
   ],
   [
    26,
    32,
    37,
    68,
    77,
    83,
    88
   ],
   [
    33,
    38,
    41,
    61,
    69,
    70,
    78
   ],
   [
    34,
    39,
    42,
    62,
    70,
    71,
    79
   ],
   [
    24,
    30,
    35,
    64,
    72,
    73,
    80
   ],
   [
    25,
    31,
    36,
    65,
    73,
    74,
    81
   ],
   [
    26,
    32,
    37,
    74,
    82,
    86,
    89
   ],
   [
    33,
    38,
    41,
    67,
    75,
    76,
    83
   ],
   [
    34,
    39,
    42,
    68,
    76,
    77,
    84
   ],
   [
    40,
    43,
    44,
    70,
    78,
    79,
    85
   ],
   [
    33,
    38,
    41,
    73,
    80,
    81,
    86
   ],
   [
    34,
    39,
    42,
    74,
    81,
    82,
    87
   ],
   [
    40,
    43,
    44,
    76,
    83,
    84,
    88
   ],
   [
    40,
    43,
    44,
    81,
    86,
    87,
    89
   ]
  ],
  "Z": [
   [
    0,
    2,
    3,
    8,
    45,
    46,
    49
   ],
   [
    1,
    5,
    6,
    13,
    45,
    46,
    49
   ],
   [
    2,
    7,
    8,
    15,
    47,
    50,
    55
   ],
   [
    3,
    8,
    9,
    16,
    48,
    51,
    56
   ],
   [
    4,
    10,
    11,
    19,
    45,
    46,
    49
   ],
   [
    5,
    12,
    13,
    21,
    47,
    50,
    55
   ],
   [
    6,
    13,
    14,
    22,
    48,
    51,
    56
   ],
   [
    0,
    3,
    7,
    15,
    52,
    57,
    63
   ],
   [
    8,
    15,
    16,
    24,
    53,
    58,
    64
   ],
   [
    9,
    16,
    17,
    25,
    54,
    59,
    65
   ],
   [
    10,
    18,
    19,
    27,
    47,
    50,
    55
   ],
   [
    11,
    19,
    20,
    28,
    48,
    51,
    56
   ],
   [
    1,
    6,
    12,
    21,
    52,
    57,
    63
   ],
   [
    13,
    21,
    22,
    30,
    53,
    58,
    64
   ],
   [
    14,
    22,
    23,
    31,
    54,
    59,
    65
   ],
   [
    3,
    9,
    15,
    24,
    60,
    66,
    72
   ],
   [
    16,
    24,
    25,
    33,
    61,
    67,
    73
   ],
   [
    17,
    25,
    26,
    34,
    62,
    68,
    74
   ],
   [
    4,
    11,
    18,
    27,
    52,
    57,
    63
   ],
   [
    19,
    27,
    28,
    35,
    53,
    58,
    64
   ],
   [
    20,
    28,
    29,
    36,
    54,
    59,
    65
   ],
   [
    6,
    14,
    21,
    30,
    60,
    66,
    72
   ],
   [
    22,
    30,
    31,
    38,
    61,
    67,
    73
   ],
   [
    23,
    31,
    32,
    39,
    62,
    68,
    74
   ],
   [
    9,
    17,
    24,
    33,
    69,
    75,
    80
   ],
   [
    25,
    33,
    34,
    40,
    70,
    76,
    81
   ],
   [
    0,
    2,
    26,
    34,
    71,
    77,
    82
   ],
   [
    11,
    20,
    27,
    35,
    60,
    66,
    72
   ],
   [
    28,
    35,
    36,
    41,
    61,
    67,
    73
   ],
   [
    29,
    36,
    37,
    42,
    62,
    68,
    74
   ],
   [
    14,
    23,
    30,
    38,
    69,
    75,
    80
   ],
   [
    31,
    38,
    39,
    43,
    70,
    76,
    81
   ],
   [
    1,
    5,
    32,
    39,
    71,
    77,
    82
   ],
   [
    17,
    26,
    33,
    40,
    78,
    83,
    86
   ],
   [
    2,
    7,
    34,
    40,
    79,
    84,
    87
   ],
   [
    20,
    29,
    35,
    41,
    69,
    75,
    80
   ],
   [
    36,
    41,
    42,
    44,
    70,
    76,
    81
   ],
   [
    4,
    10,
    37,
    42,
    71,
    77,
    82
   ],
   [
    23,
    32,
    38,
    43,
    78,
    83,
    86
   ],
   [
    5,
    12,
    39,
    43,
    79,
    84,
    87
   ],
   [
    0,
    7,
    26,
    40,
    85,
    88,
    89
   ],
   [
    29,
    37,
    41,
    44,
    78,
    83,
    86
   ],
   [
    10,
    18,
    42,
    44,
    79,
    84,
    87
   ],
   [
    1,
    12,
    32,
    43,
    85,
    88,
    89
   ],
   [
    4,
    18,
    37,
    44,
    85,
    88,
    89
   ]
  ]
 },
 "distance": {
  "d": 2,
  "X": {
   "value": 2,
   "confidence": "upper_bound",
   "witness": [
    68,
    74
   ]
  },
  "Z": {
   "value": 2,
   "confidence": "upper_bound",
   "witness": [
    32,
    37
   ]
  }
 },
 "provenance": {
  "authors": [
   "@MathysRennela"
  ],
  "construction": "2BGA (arXiv:2306.16400) on SmallGroup(45,2), from github.com/QEC-pages/2BGA-codes @ 403d194c3f98f0cadc236aecbc4a8b6139ccf23c, abelian.zip, diswtabelian_wt7wtL3_order45_k28.txt, line 1. nonidentity supports a=[2, 5], 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"
}
