{
 "schema_version": "0.1",
 "name": "[[90,30,3]] 2BGA",
 "code_type": "CSS",
 "n": 90,
 "k": 30,
 "checks": {
  "X": [
   [
    0,
    9,
    45,
    54,
    86,
    89
   ],
   [
    1,
    14,
    46,
    59,
    69,
    85
   ],
   [
    2,
    17,
    47,
    56,
    62,
    65
   ],
   [
    0,
    3,
    45,
    48,
    80,
    89
   ],
   [
    4,
    20,
    49,
    65,
    75,
    88
   ],
   [
    5,
    23,
    45,
    50,
    54,
    68
   ],
   [
    1,
    6,
    46,
    51,
    69,
    78
   ],
   [
    7,
    26,
    52,
    64,
    71,
    74
   ],
   [
    2,
    8,
    47,
    49,
    53,
    65
   ],
   [
    3,
    9,
    48,
    54,
    80,
    86
   ],
   [
    10,
    29,
    46,
    55,
    59,
    74
   ],
   [
    4,
    11,
    49,
    56,
    75,
    83
   ],
   [
    12,
    32,
    47,
    57,
    62,
    77
   ],
   [
    5,
    13,
    45,
    48,
    50,
    58
   ],
   [
    6,
    14,
    51,
    59,
    78,
    85
   ],
   [
    15,
    34,
    60,
    73,
    79,
    82
   ],
   [
    7,
    16,
    52,
    55,
    61,
    74
   ],
   [
    8,
    17,
    49,
    53,
    56,
    62
   ],
   [
    18,
    37,
    50,
    63,
    68,
    82
   ],
   [
    10,
    19,
    46,
    51,
    55,
    64
   ],
   [
    11,
    20,
    56,
    65,
    83,
    88
   ],
   [
    21,
    39,
    52,
    66,
    71,
    84
   ],
   [
    12,
    22,
    47,
    53,
    57,
    67
   ],
   [
    13,
    23,
    48,
    54,
    58,
    68
   ],
   [
    24,
    40,
    69,
    81,
    85,
    87
   ],
   [
    15,
    25,
    60,
    63,
    70,
    82
   ],
   [
    16,
    26,
    55,
    61,
    64,
    71
   ],
   [
    27,
    42,
    57,
    72,
    77,
    87
   ],
   [
    18,
    28,
    50,
    58,
    63,
    73
   ],
   [
    19,
    29,
    51,
    59,
    64,
    74
   ],
   [
    30,
    43,
    60,
    75,
    79,
    88
   ],
   [
    21,
    31,
    52,
    61,
    66,
    76
   ],
   [
    22,
    32,
    53,
    62,
    67,
    77
   ],
   [
    24,
    33,
    69,
    72,
    78,
    87
   ],
   [
    25,
    34,
    63,
    70,
    73,
    79
   ],
   [
    35,
    44,
    66,
    80,
    84,
    89
   ],
   [
    27,
    36,
    57,
    67,
    72,
    81
   ],
   [
    28,
    37,
    58,
    68,
    73,
    82
   ],
   [
    30,
    38,
    60,
    70,
    75,
    83
   ],
   [
    31,
    39,
    61,
    71,
    76,
    84
   ],
   [
    33,
    40,
    72,
    78,
    81,
    85
   ],
   [
    35,
    41,
    66,
    76,
    80,
    86
   ],
   [
    36,
    42,
    67,
    77,
    81,
    87
   ],
   [
    38,
    43,
    70,
    79,
    83,
    88
   ],
   [
    41,
    44,
    76,
    84,
    86,
    89
   ]
  ],
  "Z": [
   [
    0,
    3,
    5,
    13,
    45,
    48
   ],
   [
    1,
    6,
    10,
    19,
    46,
    51
   ],
   [
    2,
    8,
    12,
    22,
    47,
    53
   ],
   [
    3,
    9,
    13,
    23,
    48,
    54
   ],
   [
    4,
    8,
    11,
    17,
    49,
    56
   ],
   [
    5,
    13,
    18,
    28,
    50,
    58
   ],
   [
    6,
    14,
    19,
    29,
    51,
    59
   ],
   [
    7,
    16,
    21,
    31,
    52,
    61
   ],
   [
    8,
    17,
    22,
    32,
    53,
    62
   ],
   [
    0,
    5,
    9,
    23,
    45,
    54
   ],
   [
    10,
    16,
    19,
    26,
    55,
    64
   ],
   [
    2,
    11,
    17,
    20,
    56,
    65
   ],
   [
    12,
    22,
    27,
    36,
    57,
    67
   ],
   [
    13,
    23,
    28,
    37,
    58,
    68
   ],
   [
    1,
    10,
    14,
    29,
    46,
    59
   ],
   [
    15,
    25,
    30,
    38,
    60,
    70
   ],
   [
    16,
    26,
    31,
    39,
    61,
    71
   ],
   [
    2,
    12,
    17,
    32,
    47,
    62
   ],
   [
    18,
    25,
    28,
    34,
    63,
    73
   ],
   [
    7,
    19,
    26,
    29,
    64,
    74
   ],
   [
    2,
    4,
    8,
    20,
    49,
    65
   ],
   [
    21,
    31,
    35,
    41,
    66,
    76
   ],
   [
    22,
    32,
    36,
    42,
    67,
    77
   ],
   [
    5,
    18,
    23,
    37,
    50,
    68
   ],
   [
    1,
    6,
    24,
    33,
    69,
    78
   ],
   [
    25,
    34,
    38,
    43,
    70,
    79
   ],
   [
    7,
    21,
    26,
    39,
    52,
    71
   ],
   [
    27,
    33,
    36,
    40,
    72,
    81
   ],
   [
    15,
    28,
    34,
    37,
    73,
    82
   ],
   [
    7,
    10,
    16,
    29,
    55,
    74
   ],
   [
    4,
    11,
    30,
    38,
    75,
    83
   ],
   [
    31,
    39,
    41,
    44,
    76,
    84
   ],
   [
    12,
    27,
    32,
    42,
    57,
    77
   ],
   [
    6,
    14,
    33,
    40,
    78,
    85
   ],
   [
    15,
    30,
    34,
    43,
    60,
    79
   ],
   [
    3,
    9,
    35,
    41,
    80,
    86
   ],
   [
    24,
    36,
    40,
    42,
    81,
    87
   ],
   [
    15,
    18,
    25,
    37,
    63,
    82
   ],
   [
    11,
    20,
    38,
    43,
    83,
    88
   ],
   [
    21,
    35,
    39,
    44,
    66,
    84
   ],
   [
    1,
    14,
    24,
    40,
    69,
    85
   ],
   [
    0,
    9,
    41,
    44,
    86,
    89
   ],
   [
    24,
    27,
    33,
    42,
    72,
    87
   ],
   [
    4,
    20,
    30,
    43,
    75,
    88
   ],
   [
    0,
    3,
    35,
    44,
    80,
    89
   ]
  ]
 },
 "distance": {
  "d": 3,
  "X": {
   "value": 3,
   "confidence": "upper_bound",
   "witness": [
    29,
    59,
    74
   ]
  },
  "Z": {
   "value": 3,
   "confidence": "upper_bound",
   "witness": [
    34,
    43,
    79
   ]
  }
 },
 "provenance": {
  "authors": [
   "@MathysRennela"
  ],
  "construction": "2BGA (arXiv:2306.16400) on SmallGroup(45,1), from github.com/QEC-pages/2BGA-codes @ 403d194c3f98f0cadc236aecbc4a8b6139ccf23c, abelian.zip, diswtabelian_wt6wtL2_order45_k30.txt, line 1. nonidentity supports a=[4], b=[4, 6, 14].",
  "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"
}
