{
 "schema_version": "0.1",
 "name": "[[80,40,2]] 2BGA",
 "code_type": "CSS",
 "n": 80,
 "k": 40,
 "checks": {
  "X": [
   [
    0,
    4,
    40,
    44,
    75,
    79
   ],
   [
    1,
    7,
    41,
    47,
    64,
    73
   ],
   [
    2,
    10,
    42,
    46,
    50,
    55
   ],
   [
    3,
    11,
    43,
    51,
    68,
    76
   ],
   [
    0,
    4,
    40,
    44,
    75,
    79
   ],
   [
    5,
    14,
    40,
    44,
    45,
    54
   ],
   [
    6,
    15,
    46,
    55,
    72,
    78
   ],
   [
    1,
    7,
    41,
    47,
    64,
    73
   ],
   [
    8,
    18,
    48,
    53,
    58,
    63
   ],
   [
    9,
    19,
    41,
    47,
    49,
    59
   ],
   [
    2,
    10,
    42,
    46,
    50,
    55
   ],
   [
    3,
    11,
    43,
    51,
    68,
    76
   ],
   [
    12,
    22,
    42,
    50,
    52,
    62
   ],
   [
    13,
    23,
    43,
    51,
    53,
    63
   ],
   [
    5,
    14,
    40,
    44,
    45,
    54
   ],
   [
    6,
    15,
    46,
    55,
    72,
    78
   ],
   [
    16,
    26,
    56,
    61,
    66,
    71
   ],
   [
    17,
    27,
    45,
    54,
    57,
    67
   ],
   [
    8,
    18,
    48,
    53,
    58,
    63
   ],
   [
    9,
    19,
    41,
    47,
    49,
    59
   ],
   [
    20,
    30,
    48,
    58,
    60,
    70
   ],
   [
    21,
    31,
    49,
    59,
    61,
    71
   ],
   [
    12,
    22,
    42,
    50,
    52,
    62
   ],
   [
    13,
    23,
    43,
    51,
    53,
    63
   ],
   [
    24,
    33,
    64,
    69,
    73,
    77
   ],
   [
    25,
    34,
    52,
    62,
    65,
    74
   ],
   [
    16,
    26,
    56,
    61,
    66,
    71
   ],
   [
    17,
    27,
    45,
    54,
    57,
    67
   ],
   [
    28,
    36,
    56,
    66,
    68,
    76
   ],
   [
    29,
    37,
    57,
    67,
    69,
    77
   ],
   [
    20,
    30,
    48,
    58,
    60,
    70
   ],
   [
    21,
    31,
    49,
    59,
    61,
    71
   ],
   [
    32,
    38,
    60,
    70,
    72,
    78
   ],
   [
    24,
    33,
    64,
    69,
    73,
    77
   ],
   [
    25,
    34,
    52,
    62,
    65,
    74
   ],
   [
    35,
    39,
    65,
    74,
    75,
    79
   ],
   [
    28,
    36,
    56,
    66,
    68,
    76
   ],
   [
    29,
    37,
    57,
    67,
    69,
    77
   ],
   [
    32,
    38,
    60,
    70,
    72,
    78
   ],
   [
    35,
    39,
    65,
    74,
    75,
    79
   ]
  ],
  "Z": [
   [
    0,
    4,
    5,
    14,
    40,
    44
   ],
   [
    1,
    7,
    9,
    19,
    41,
    47
   ],
   [
    2,
    10,
    12,
    22,
    42,
    50
   ],
   [
    3,
    11,
    13,
    23,
    43,
    51
   ],
   [
    0,
    4,
    5,
    14,
    40,
    44
   ],
   [
    5,
    14,
    17,
    27,
    45,
    54
   ],
   [
    2,
    6,
    10,
    15,
    46,
    55
   ],
   [
    1,
    7,
    9,
    19,
    41,
    47
   ],
   [
    8,
    18,
    20,
    30,
    48,
    58
   ],
   [
    9,
    19,
    21,
    31,
    49,
    59
   ],
   [
    2,
    10,
    12,
    22,
    42,
    50
   ],
   [
    3,
    11,
    13,
    23,
    43,
    51
   ],
   [
    12,
    22,
    25,
    34,
    52,
    62
   ],
   [
    8,
    13,
    18,
    23,
    53,
    63
   ],
   [
    5,
    14,
    17,
    27,
    45,
    54
   ],
   [
    2,
    6,
    10,
    15,
    46,
    55
   ],
   [
    16,
    26,
    28,
    36,
    56,
    66
   ],
   [
    17,
    27,
    29,
    37,
    57,
    67
   ],
   [
    8,
    18,
    20,
    30,
    48,
    58
   ],
   [
    9,
    19,
    21,
    31,
    49,
    59
   ],
   [
    20,
    30,
    32,
    38,
    60,
    70
   ],
   [
    16,
    21,
    26,
    31,
    61,
    71
   ],
   [
    12,
    22,
    25,
    34,
    52,
    62
   ],
   [
    8,
    13,
    18,
    23,
    53,
    63
   ],
   [
    1,
    7,
    24,
    33,
    64,
    73
   ],
   [
    25,
    34,
    35,
    39,
    65,
    74
   ],
   [
    16,
    26,
    28,
    36,
    56,
    66
   ],
   [
    17,
    27,
    29,
    37,
    57,
    67
   ],
   [
    3,
    11,
    28,
    36,
    68,
    76
   ],
   [
    24,
    29,
    33,
    37,
    69,
    77
   ],
   [
    20,
    30,
    32,
    38,
    60,
    70
   ],
   [
    16,
    21,
    26,
    31,
    61,
    71
   ],
   [
    6,
    15,
    32,
    38,
    72,
    78
   ],
   [
    1,
    7,
    24,
    33,
    64,
    73
   ],
   [
    25,
    34,
    35,
    39,
    65,
    74
   ],
   [
    0,
    4,
    35,
    39,
    75,
    79
   ],
   [
    3,
    11,
    28,
    36,
    68,
    76
   ],
   [
    24,
    29,
    33,
    37,
    69,
    77
   ],
   [
    6,
    15,
    32,
    38,
    72,
    78
   ],
   [
    0,
    4,
    35,
    39,
    75,
    79
   ]
  ]
 },
 "distance": {
  "d": 2,
  "X": {
   "value": 2,
   "confidence": "upper_bound",
   "witness": [
    43,
    51
   ]
  },
  "Z": {
   "value": 2,
   "confidence": "upper_bound",
   "witness": [
    3,
    11
   ]
  }
 },
 "provenance": {
  "authors": [
   "@MathysRennela"
  ],
  "construction": "2BGA (arXiv:2306.16400) on SmallGroup(40,2), from github.com/QEC-pages/2BGA-codes @ 403d194c3f98f0cadc236aecbc4a8b6139ccf23c, abelian.zip, diswtabelian_wt6wtL2_order40_k40.txt, line 1. nonidentity supports a=[5], b=[5, 6, 15].",
  "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"
}
