{
 "schema_version": "0.1",
 "name": "[[80,4,12]] 2BGA",
 "code_type": "CSS",
 "n": 80,
 "k": 4,
 "checks": {
  "X": [
   [
    0,
    38,
    40,
    48,
    51,
    52,
    59,
    61
   ],
   [
    1,
    20,
    40,
    41,
    52,
    55,
    58,
    63
   ],
   [
    2,
    27,
    40,
    41,
    42,
    57,
    62,
    65
   ],
   [
    3,
    33,
    42,
    43,
    45,
    58,
    66,
    68
   ],
   [
    4,
    8,
    44,
    53,
    56,
    59,
    67,
    79
   ],
   [
    5,
    7,
    41,
    42,
    45,
    61,
    64,
    69
   ],
   [
    6,
    13,
    43,
    45,
    46,
    51,
    62,
    70
   ],
   [
    7,
    28,
    47,
    50,
    60,
    63,
    67,
    71
   ],
   [
    8,
    34,
    43,
    46,
    48,
    55,
    64,
    72
   ],
   [
    0,
    9,
    44,
    49,
    54,
    65,
    71,
    73
   ],
   [
    2,
    10,
    49,
    50,
    60,
    66,
    74,
    76
   ],
   [
    11,
    16,
    40,
    45,
    51,
    64,
    67,
    75
   ],
   [
    12,
    14,
    46,
    48,
    52,
    57,
    68,
    75
   ],
   [
    13,
    15,
    47,
    53,
    56,
    69,
    73,
    76
   ],
   [
    14,
    21,
    44,
    53,
    54,
    70,
    74,
    77
   ],
   [
    15,
    35,
    41,
    43,
    55,
    59,
    68,
    71
   ],
   [
    3,
    16,
    47,
    50,
    56,
    72,
    77,
    78
   ],
   [
    4,
    17,
    42,
    46,
    51,
    57,
    63,
    73
   ],
   [
    9,
    18,
    43,
    52,
    57,
    58,
    69,
    74
   ],
   [
    19,
    24,
    40,
    44,
    59,
    68,
    72,
    76
   ],
   [
    20,
    22,
    49,
    54,
    60,
    75,
    78,
    79
   ],
   [
    21,
    23,
    45,
    48,
    55,
    61,
    65,
    76
   ],
   [
    22,
    29,
    40,
    46,
    61,
    62,
    66,
    77
   ],
   [
    23,
    39,
    41,
    47,
    51,
    63,
    74,
    75
   ],
   [
    10,
    24,
    41,
    48,
    58,
    64,
    70,
    78
   ],
   [
    11,
    25,
    42,
    49,
    55,
    59,
    65,
    77
   ],
   [
    17,
    26,
    43,
    50,
    61,
    65,
    66,
    79
   ],
   [
    27,
    32,
    44,
    51,
    60,
    67,
    69,
    78
   ],
   [
    28,
    30,
    42,
    52,
    62,
    68,
    72,
    79
   ],
   [
    29,
    31,
    45,
    53,
    57,
    63,
    69,
    78
   ],
   [
    30,
    36,
    46,
    54,
    58,
    67,
    69,
    70
   ],
   [
    12,
    31,
    44,
    47,
    55,
    66,
    71,
    79
   ],
   [
    18,
    32,
    48,
    56,
    62,
    66,
    71,
    72
   ],
   [
    19,
    33,
    47,
    49,
    57,
    67,
    70,
    73
   ],
   [
    25,
    34,
    50,
    53,
    58,
    73,
    74,
    75
   ],
   [
    35,
    37,
    52,
    60,
    64,
    70,
    73,
    75
   ],
   [
    1,
    36,
    49,
    53,
    61,
    71,
    72,
    76
   ],
   [
    5,
    37,
    50,
    54,
    59,
    62,
    76,
    77
   ],
   [
    26,
    38,
    54,
    56,
    63,
    64,
    74,
    78
   ],
   [
    6,
    39,
    56,
    60,
    65,
    68,
    77,
    79
   ]
  ],
  "Z": [
   [
    0,
    1,
    2,
    11,
    19,
    22,
    40,
    49
   ],
   [
    1,
    2,
    5,
    15,
    23,
    24,
    41,
    76
   ],
   [
    2,
    3,
    5,
    17,
    25,
    28,
    42,
    50
   ],
   [
    3,
    6,
    8,
    15,
    18,
    26,
    43,
    56
   ],
   [
    4,
    9,
    14,
    19,
    27,
    31,
    44,
    57
   ],
   [
    3,
    5,
    6,
    11,
    21,
    29,
    45,
    77
   ],
   [
    6,
    8,
    12,
    17,
    22,
    30,
    46,
    79
   ],
   [
    7,
    13,
    16,
    23,
    31,
    33,
    45,
    47
   ],
   [
    0,
    8,
    12,
    21,
    24,
    32,
    44,
    48
   ],
   [
    9,
    10,
    20,
    25,
    33,
    36,
    49,
    58
   ],
   [
    7,
    10,
    16,
    26,
    34,
    37,
    50,
    64
   ],
   [
    0,
    6,
    11,
    17,
    23,
    27,
    51,
    65
   ],
   [
    0,
    1,
    12,
    18,
    28,
    35,
    52,
    71
   ],
   [
    4,
    13,
    14,
    29,
    34,
    36,
    46,
    53
   ],
   [
    9,
    14,
    20,
    30,
    37,
    38,
    52,
    54
   ],
   [
    1,
    8,
    15,
    21,
    25,
    31,
    53,
    55
   ],
   [
    4,
    13,
    16,
    32,
    38,
    39,
    51,
    56
   ],
   [
    2,
    12,
    17,
    18,
    29,
    33,
    57,
    66
   ],
   [
    1,
    3,
    18,
    24,
    30,
    34,
    58,
    72
   ],
   [
    0,
    4,
    15,
    19,
    25,
    37,
    59,
    73
   ],
   [
    7,
    10,
    20,
    27,
    35,
    39,
    41,
    60
   ],
   [
    0,
    5,
    21,
    22,
    26,
    36,
    54,
    61
   ],
   [
    2,
    6,
    22,
    28,
    32,
    37,
    60,
    62
   ],
   [
    1,
    7,
    17,
    23,
    29,
    38,
    61,
    63
   ],
   [
    5,
    8,
    11,
    24,
    35,
    38,
    59,
    64
   ],
   [
    2,
    9,
    21,
    25,
    26,
    39,
    65,
    74
   ],
   [
    3,
    10,
    22,
    26,
    31,
    32,
    66,
    78
   ],
   [
    4,
    7,
    11,
    27,
    30,
    33,
    42,
    67
   ],
   [
    3,
    12,
    15,
    19,
    28,
    39,
    47,
    68
   ],
   [
    5,
    13,
    18,
    27,
    29,
    30,
    62,
    69
   ],
   [
    6,
    14,
    24,
    30,
    33,
    35,
    68,
    70
   ],
   [
    7,
    9,
    15,
    31,
    32,
    36,
    69,
    71
   ],
   [
    8,
    16,
    19,
    28,
    32,
    36,
    67,
    72
   ],
   [
    9,
    13,
    17,
    33,
    34,
    35,
    43,
    73
   ],
   [
    10,
    14,
    18,
    23,
    34,
    38,
    48,
    74
   ],
   [
    11,
    12,
    20,
    23,
    34,
    35,
    55,
    75
   ],
   [
    10,
    13,
    19,
    21,
    36,
    37,
    70,
    76
   ],
   [
    14,
    16,
    22,
    25,
    37,
    39,
    75,
    77
   ],
   [
    16,
    20,
    24,
    27,
    29,
    38,
    40,
    78
   ],
   [
    4,
    20,
    26,
    28,
    31,
    39,
    63,
    79
   ]
  ]
 },
 "distance": {
  "d": 12,
  "X": {
   "value": 12,
   "confidence": "upper_bound",
   "witness": [
    0,
    4,
    44,
    46,
    49,
    51,
    52,
    54,
    58,
    67,
    72,
    79
   ]
  },
  "Z": {
   "value": 12,
   "confidence": "upper_bound",
   "witness": [
    7,
    12,
    29,
    37,
    40,
    49,
    52,
    65,
    67,
    69,
    76,
    79
   ]
  }
 },
 "provenance": {
  "authors": [
   "@MathysRennela"
  ],
  "construction": "2BGA (arXiv:2306.16400) on SmallGroup(40,1), from github.com/QEC-pages/2BGA-codes @ 403d194c3f98f0cadc236aecbc4a8b6139ccf23c, nonabelian.zip, diswtnonabelian_wt8wtL2_order40_k4.txt, line 6. nonidentity supports a=[10], b=[2, 3, 12, 20, 23].",
  "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"
}