{
 "schema_version": "0.1",
 "name": "[[72,26,4]] 2BGA",
 "code_type": "CSS",
 "n": 72,
 "k": 26,
 "checks": {
  "X": [
   [
    0,
    3,
    23,
    32,
    36,
    39,
    52,
    70
   ],
   [
    0,
    1,
    8,
    12,
    37,
    43,
    59,
    71
   ],
   [
    2,
    5,
    10,
    15,
    37,
    38,
    46,
    55
   ],
   [
    0,
    3,
    31,
    35,
    36,
    39,
    63,
    64
   ],
   [
    4,
    12,
    23,
    32,
    40,
    48,
    52,
    70
   ],
   [
    1,
    5,
    7,
    26,
    36,
    41,
    48,
    50
   ],
   [
    2,
    6,
    18,
    22,
    41,
    42,
    53,
    62
   ],
   [
    3,
    4,
    7,
    19,
    37,
    43,
    67,
    68
   ],
   [
    1,
    3,
    4,
    8,
    44,
    55,
    59,
    71
   ],
   [
    9,
    13,
    20,
    25,
    42,
    45,
    56,
    65
   ],
   [
    2,
    10,
    14,
    26,
    38,
    43,
    44,
    46
   ],
   [
    5,
    11,
    15,
    22,
    37,
    47,
    55,
    58
   ],
   [
    4,
    12,
    31,
    35,
    40,
    48,
    63,
    64
   ],
   [
    6,
    13,
    17,
    33,
    38,
    49,
    58,
    60
   ],
   [
    1,
    7,
    14,
    15,
    39,
    40,
    41,
    50
   ],
   [
    8,
    14,
    15,
    19,
    36,
    48,
    51,
    62
   ],
   [
    9,
    16,
    28,
    30,
    49,
    52,
    63,
    69
   ],
   [
    10,
    11,
    17,
    29,
    42,
    50,
    51,
    53
   ],
   [
    6,
    10,
    11,
    18,
    41,
    54,
    62,
    65
   ],
   [
    0,
    7,
    12,
    19,
    44,
    55,
    67,
    68
   ],
   [
    9,
    20,
    24,
    33,
    45,
    53,
    54,
    56
   ],
   [
    13,
    21,
    25,
    30,
    42,
    57,
    65,
    66
   ],
   [
    11,
    14,
    22,
    26,
    43,
    44,
    47,
    58
   ],
   [
    16,
    23,
    27,
    35,
    45,
    59,
    66,
    67
   ],
   [
    6,
    17,
    24,
    25,
    46,
    47,
    49,
    60
   ],
   [
    18,
    24,
    25,
    29,
    38,
    58,
    61,
    69
   ],
   [
    5,
    8,
    19,
    26,
    39,
    40,
    51,
    62
   ],
   [
    20,
    21,
    27,
    34,
    52,
    60,
    61,
    63
   ],
   [
    16,
    20,
    21,
    28,
    49,
    64,
    69,
    70
   ],
   [
    2,
    17,
    22,
    29,
    50,
    51,
    54,
    65
   ],
   [
    21,
    24,
    30,
    33,
    53,
    54,
    57,
    66
   ],
   [
    16,
    27,
    31,
    32,
    56,
    57,
    59,
    67
   ],
   [
    28,
    31,
    32,
    34,
    45,
    66,
    68,
    71
   ],
   [
    13,
    18,
    29,
    33,
    46,
    47,
    61,
    69
   ],
   [
    9,
    27,
    30,
    34,
    60,
    61,
    64,
    70
   ],
   [
    23,
    28,
    34,
    35,
    56,
    57,
    68,
    71
   ]
  ],
  "Z": [
   [
    0,
    3,
    5,
    15,
    36,
    37,
    39,
    55
   ],
   [
    1,
    2,
    7,
    11,
    37,
    41,
    44,
    50
   ],
   [
    2,
    10,
    13,
    25,
    38,
    42,
    46,
    65
   ],
   [
    0,
    3,
    14,
    26,
    36,
    39,
    43,
    44
   ],
   [
    4,
    12,
    14,
    26,
    40,
    43,
    44,
    48
   ],
   [
    5,
    6,
    14,
    18,
    38,
    41,
    47,
    62
   ],
   [
    6,
    9,
    17,
    21,
    42,
    49,
    54,
    60
   ],
   [
    1,
    7,
    10,
    22,
    41,
    43,
    50,
    55
   ],
   [
    8,
    10,
    19,
    22,
    37,
    44,
    51,
    62
   ],
   [
    9,
    20,
    23,
    32,
    45,
    52,
    56,
    70
   ],
   [
    2,
    10,
    24,
    33,
    38,
    46,
    53,
    54
   ],
   [
    11,
    22,
    24,
    33,
    47,
    53,
    54,
    58
   ],
   [
    4,
    5,
    12,
    15,
    37,
    40,
    48,
    55
   ],
   [
    13,
    16,
    24,
    28,
    45,
    49,
    57,
    69
   ],
   [
    5,
    14,
    17,
    29,
    46,
    50,
    51,
    58
   ],
   [
    15,
    17,
    26,
    29,
    38,
    47,
    50,
    51
   ],
   [
    0,
    4,
    16,
    27,
    52,
    59,
    64,
    67
   ],
   [
    6,
    17,
    20,
    30,
    49,
    53,
    60,
    65
   ],
   [
    18,
    20,
    29,
    30,
    42,
    54,
    61,
    69
   ],
   [
    2,
    8,
    11,
    19,
    43,
    51,
    55,
    62
   ],
   [
    9,
    20,
    31,
    35,
    45,
    56,
    63,
    64
   ],
   [
    21,
    30,
    31,
    35,
    57,
    63,
    64,
    66
   ],
   [
    11,
    13,
    22,
    25,
    42,
    47,
    58,
    65
   ],
   [
    1,
    8,
    23,
    31,
    36,
    40,
    59,
    71
   ],
   [
    13,
    24,
    27,
    34,
    56,
    60,
    61,
    66
   ],
   [
    25,
    27,
    33,
    34,
    45,
    57,
    60,
    61
   ],
   [
    6,
    15,
    18,
    26,
    41,
    46,
    58,
    62
   ],
   [
    3,
    12,
    16,
    27,
    59,
    63,
    67,
    70
   ],
   [
    3,
    12,
    28,
    34,
    52,
    64,
    68,
    71
   ],
   [
    9,
    18,
    21,
    29,
    53,
    61,
    65,
    69
   ],
   [
    21,
    23,
    30,
    32,
    52,
    57,
    66,
    70
   ],
   [
    7,
    19,
    23,
    31,
    39,
    48,
    67,
    68
   ],
   [
    7,
    19,
    32,
    35,
    36,
    40,
    67,
    68
   ],
   [
    16,
    25,
    28,
    33,
    49,
    56,
    66,
    69
   ],
   [
    0,
    4,
    28,
    34,
    63,
    68,
    70,
    71
   ],
   [
    1,
    8,
    32,
    35,
    39,
    48,
    59,
    71
   ]
  ]
 },
 "distance": {
  "d": 4,
  "X": {
   "value": 4,
   "confidence": "upper_bound",
   "witness": [
    20,
    30,
    56,
    66
   ]
  },
  "Z": {
   "value": 4,
   "confidence": "upper_bound",
   "witness": [
    51,
    53,
    54,
    62
   ]
  }
 },
 "provenance": {
  "authors": [
   "@MathysRennela"
  ],
  "construction": "2BGA (arXiv:2306.16400) on SmallGroup(36,3), from github.com/QEC-pages/2BGA-codes @ 403d194c3f98f0cadc236aecbc4a8b6139ccf23c, nonabelian.zip, diswtnonabelian_wt8wtL4_order36_k26.txt, line 3. nonidentity supports a=[2, 4, 20], b=[4, 6, 16].",
  "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"
}
