{
 "schema_version": "0.1",
 "name": "[[72,8,10]] 2BGA on SmallGroup(36,2)",
 "code_type": "CSS",
 "n": 72,
 "k": 8,
 "checks": {
  "X": [
   [
    0,
    6,
    24,
    29,
    36,
    54,
    63,
    71
   ],
   [
    0,
    1,
    28,
    32,
    37,
    48,
    59,
    65
   ],
   [
    0,
    2,
    14,
    17,
    38,
    42,
    47,
    69
   ],
   [
    1,
    3,
    31,
    34,
    39,
    44,
    53,
    68
   ],
   [
    4,
    8,
    16,
    32,
    40,
    42,
    59,
    64
   ],
   [
    1,
    2,
    5,
    22,
    36,
    41,
    52,
    57
   ],
   [
    3,
    6,
    19,
    35,
    42,
    49,
    58,
    70
   ],
   [
    4,
    7,
    13,
    34,
    36,
    43,
    44,
    67
   ],
   [
    2,
    8,
    23,
    26,
    44,
    50,
    56,
    71
   ],
   [
    3,
    5,
    9,
    27,
    37,
    40,
    45,
    62
   ],
   [
    1,
    4,
    10,
    25,
    46,
    50,
    52,
    58
   ],
   [
    7,
    11,
    18,
    35,
    37,
    47,
    49,
    55
   ],
   [
    12,
    13,
    19,
    27,
    48,
    52,
    67,
    70
   ],
   [
    5,
    8,
    13,
    30,
    38,
    49,
    61,
    65
   ],
   [
    6,
    9,
    12,
    14,
    39,
    43,
    50,
    66
   ],
   [
    3,
    7,
    10,
    15,
    38,
    40,
    51,
    63
   ],
   [
    11,
    16,
    23,
    29,
    39,
    52,
    54,
    60
   ],
   [
    12,
    17,
    18,
    24,
    40,
    53,
    55,
    71
   ],
   [
    9,
    13,
    18,
    33,
    41,
    46,
    54,
    68
   ],
   [
    5,
    10,
    19,
    31,
    55,
    59,
    61,
    66
   ],
   [
    6,
    11,
    15,
    20,
    41,
    43,
    48,
    56
   ],
   [
    7,
    12,
    21,
    33,
    39,
    57,
    61,
    63
   ],
   [
    17,
    22,
    23,
    28,
    43,
    58,
    60,
    65
   ],
   [
    14,
    18,
    21,
    23,
    45,
    51,
    59,
    70
   ],
   [
    9,
    15,
    19,
    24,
    44,
    46,
    60,
    69
   ],
   [
    0,
    16,
    20,
    25,
    45,
    47,
    53,
    61
   ],
   [
    11,
    17,
    21,
    26,
    42,
    46,
    48,
    62
   ],
   [
    8,
    22,
    27,
    31,
    47,
    63,
    64,
    68
   ],
   [
    14,
    20,
    24,
    28,
    49,
    51,
    57,
    64
   ],
   [
    15,
    21,
    29,
    35,
    45,
    65,
    67,
    69
   ],
   [
    16,
    22,
    26,
    30,
    36,
    51,
    53,
    66
   ],
   [
    2,
    25,
    28,
    31,
    54,
    56,
    62,
    67
   ],
   [
    20,
    26,
    29,
    32,
    50,
    55,
    57,
    68
   ],
   [
    4,
    27,
    30,
    33,
    37,
    56,
    58,
    69
   ],
   [
    25,
    30,
    32,
    34,
    38,
    60,
    62,
    70
   ],
   [
    10,
    33,
    34,
    35,
    41,
    64,
    66,
    71
   ]
  ],
  "Z": [
   [
    0,
    5,
    7,
    30,
    36,
    37,
    38,
    61
   ],
   [
    1,
    9,
    11,
    33,
    37,
    39,
    41,
    46
   ],
   [
    2,
    13,
    15,
    34,
    38,
    41,
    44,
    67
   ],
   [
    3,
    14,
    16,
    21,
    39,
    42,
    45,
    51
   ],
   [
    4,
    9,
    15,
    17,
    40,
    43,
    46,
    69
   ],
   [
    5,
    18,
    20,
    35,
    41,
    45,
    49,
    55
   ],
   [
    2,
    4,
    6,
    26,
    36,
    42,
    50,
    56
   ],
   [
    7,
    14,
    20,
    22,
    43,
    47,
    51,
    57
   ],
   [
    3,
    7,
    8,
    24,
    40,
    44,
    49,
    63
   ],
   [
    9,
    23,
    25,
    29,
    45,
    50,
    54,
    60
   ],
   [
    10,
    18,
    24,
    26,
    46,
    51,
    55,
    71
   ],
   [
    2,
    11,
    25,
    27,
    47,
    52,
    56,
    62
   ],
   [
    1,
    12,
    20,
    26,
    48,
    50,
    53,
    57
   ],
   [
    6,
    11,
    13,
    28,
    43,
    48,
    49,
    54
   ],
   [
    8,
    10,
    14,
    32,
    38,
    50,
    59,
    64
   ],
   [
    15,
    23,
    28,
    30,
    51,
    56,
    60,
    65
   ],
   [
    5,
    10,
    12,
    16,
    40,
    52,
    61,
    66
   ],
   [
    3,
    17,
    25,
    30,
    38,
    53,
    58,
    62
   ],
   [
    0,
    16,
    18,
    31,
    47,
    53,
    54,
    59
   ],
   [
    11,
    17,
    19,
    32,
    42,
    48,
    55,
    60
   ],
   [
    8,
    20,
    31,
    33,
    56,
    61,
    64,
    68
   ],
   [
    5,
    21,
    28,
    32,
    57,
    59,
    62,
    65
   ],
   [
    6,
    10,
    22,
    33,
    41,
    58,
    63,
    66
   ],
   [
    1,
    4,
    19,
    23,
    44,
    52,
    58,
    59
   ],
   [
    16,
    22,
    24,
    34,
    36,
    53,
    60,
    64
   ],
   [
    13,
    19,
    21,
    25,
    46,
    61,
    67,
    70
   ],
   [
    9,
    26,
    31,
    34,
    44,
    62,
    66,
    68
   ],
   [
    0,
    15,
    21,
    27,
    45,
    48,
    63,
    69
   ],
   [
    4,
    27,
    28,
    35,
    37,
    58,
    64,
    67
   ],
   [
    1,
    13,
    22,
    29,
    36,
    52,
    65,
    68
   ],
   [
    14,
    19,
    30,
    35,
    49,
    66,
    69,
    70
   ],
   [
    7,
    12,
    29,
    31,
    39,
    55,
    63,
    67
   ],
   [
    3,
    18,
    27,
    32,
    37,
    40,
    68,
    70
   ],
   [
    2,
    24,
    29,
    33,
    54,
    57,
    69,
    71
   ],
   [
    6,
    12,
    23,
    34,
    39,
    43,
    70,
    71
   ],
   [
    0,
    8,
    17,
    35,
    42,
    47,
    65,
    71
   ]
  ]
 },
 "distance": {
  "d": 10,
  "X": {
   "value": 10,
   "confidence": "upper_bound",
   "witness": [
    9,
    11,
    13,
    20,
    22,
    26,
    41,
    46,
    56,
    60
   ]
  },
  "Z": {
   "value": 10,
   "confidence": "upper_bound",
   "witness": [
    2,
    9,
    11,
    29,
    37,
    48,
    50,
    52,
    54,
    69
   ]
  }
 },
 "provenance": {
  "authors": [
   "@MathysRennela"
  ],
  "construction": "Published 2BGA database row from arXiv:2306.16400v1: SmallGroup(36,2), a=1+g2+g3+g26, b=1+g6+g8+g31.",
  "origin": "submission",
  "date": "2026-08-17",
  "notes": "Published Lin\u2013Pryadko baseline reconstructed from the authors public database at commit 403d194c3f98f0cadc236aecbc4a8b6139ccf23c. Paper reports exact d=10; repository records a witness-backed upper bound. Literature novelty is not claimed.",
  "references": [
   "arXiv:2306.16400"
  ]
 },
 "family": "generalized-bicycle"
}