{
 "schema_version": "0.1",
 "name": "[[132,6,17]] 2BGA on C66",
 "code_type": "CSS",
 "n": 132,
 "k": 6,
 "checks": {
  "X": [
   [
    8,
    25,
    41,
    45,
    51,
    52,
    73,
    74,
    75,
    85,
    102,
    110
   ],
   [
    11,
    28,
    38,
    42,
    48,
    49,
    72,
    76,
    77,
    88,
    105,
    113
   ],
   [
    13,
    30,
    35,
    41,
    46,
    57,
    67,
    78,
    79,
    90,
    92,
    115
   ],
   [
    14,
    31,
    47,
    51,
    57,
    58,
    79,
    80,
    81,
    91,
    108,
    116
   ],
   [
    16,
    32,
    33,
    38,
    43,
    54,
    66,
    81,
    82,
    93,
    95,
    118
   ],
   [
    17,
    34,
    44,
    48,
    54,
    55,
    78,
    82,
    83,
    94,
    111,
    119
   ],
   [
    18,
    20,
    40,
    46,
    47,
    51,
    69,
    70,
    80,
    84,
    97,
    120
   ],
   [
    19,
    36,
    41,
    47,
    52,
    62,
    71,
    84,
    85,
    96,
    98,
    121
   ],
   [
    20,
    37,
    53,
    57,
    62,
    63,
    85,
    86,
    87,
    97,
    114,
    122
   ],
   [
    21,
    23,
    37,
    43,
    44,
    48,
    68,
    71,
    83,
    87,
    100,
    123
   ],
   [
    22,
    38,
    39,
    44,
    49,
    60,
    69,
    87,
    88,
    99,
    101,
    124
   ],
   [
    23,
    40,
    50,
    54,
    60,
    61,
    84,
    88,
    89,
    100,
    117,
    125
   ],
   [
    24,
    26,
    46,
    52,
    53,
    57,
    74,
    76,
    86,
    90,
    103,
    126
   ],
   [
    25,
    42,
    47,
    53,
    58,
    65,
    77,
    90,
    91,
    102,
    104,
    127
   ],
   [
    4,
    26,
    43,
    59,
    62,
    65,
    66,
    91,
    92,
    93,
    103,
    120
   ],
   [
    27,
    29,
    43,
    49,
    50,
    54,
    73,
    77,
    89,
    93,
    106,
    128
   ],
   [
    28,
    44,
    45,
    50,
    55,
    64,
    74,
    93,
    94,
    105,
    107,
    129
   ],
   [
    2,
    29,
    46,
    56,
    60,
    64,
    67,
    90,
    94,
    95,
    106,
    123
   ],
   [
    30,
    32,
    52,
    58,
    59,
    62,
    80,
    82,
    92,
    96,
    109,
    130
   ],
   [
    9,
    31,
    48,
    53,
    59,
    63,
    68,
    83,
    96,
    97,
    108,
    110
   ],
   [
    1,
    9,
    10,
    32,
    49,
    65,
    69,
    97,
    98,
    99,
    109,
    126
   ],
   [
    33,
    35,
    49,
    55,
    56,
    60,
    79,
    83,
    95,
    99,
    112,
    131
   ],
   [
    6,
    34,
    50,
    51,
    56,
    61,
    70,
    80,
    99,
    100,
    111,
    113
   ],
   [
    0,
    6,
    7,
    35,
    52,
    64,
    71,
    96,
    100,
    101,
    112,
    128
   ],
   [
    1,
    36,
    38,
    58,
    63,
    65,
    72,
    86,
    88,
    98,
    102,
    115
   ],
   [
    1,
    4,
    15,
    37,
    54,
    59,
    73,
    89,
    102,
    103,
    114,
    116
   ],
   [
    5,
    9,
    15,
    16,
    38,
    55,
    74,
    103,
    104,
    105,
    115,
    130
   ],
   [
    0,
    39,
    41,
    55,
    61,
    64,
    75,
    85,
    89,
    101,
    105,
    118
   ],
   [
    0,
    2,
    12,
    40,
    56,
    57,
    76,
    86,
    105,
    106,
    117,
    119
   ],
   [
    3,
    6,
    12,
    13,
    41,
    58,
    77,
    102,
    106,
    107,
    118,
    131
   ],
   [
    4,
    5,
    9,
    42,
    44,
    63,
    78,
    92,
    94,
    104,
    108,
    121
   ],
   [
    1,
    5,
    10,
    21,
    43,
    60,
    79,
    95,
    108,
    109,
    120,
    122
   ],
   [
    11,
    15,
    21,
    22,
    44,
    61,
    72,
    80,
    109,
    110,
    111,
    121
   ],
   [
    2,
    3,
    6,
    45,
    47,
    61,
    81,
    91,
    95,
    107,
    111,
    124
   ],
   [
    0,
    3,
    7,
    18,
    46,
    62,
    82,
    92,
    111,
    112,
    123,
    125
   ],
   [
    8,
    12,
    18,
    19,
    47,
    63,
    75,
    83,
    108,
    112,
    113,
    124
   ],
   [
    4,
    10,
    11,
    15,
    48,
    50,
    84,
    98,
    100,
    110,
    114,
    127
   ],
   [
    5,
    11,
    16,
    27,
    49,
    64,
    66,
    85,
    101,
    114,
    115,
    126
   ],
   [
    2,
    17,
    21,
    27,
    28,
    50,
    78,
    86,
    115,
    116,
    117,
    127
   ],
   [
    2,
    7,
    8,
    12,
    51,
    53,
    87,
    97,
    101,
    113,
    117,
    129
   ],
   [
    3,
    8,
    13,
    24,
    52,
    65,
    67,
    88,
    98,
    117,
    118,
    128
   ],
   [
    4,
    14,
    18,
    24,
    25,
    53,
    81,
    89,
    114,
    118,
    119,
    129
   ],
   [
    10,
    16,
    17,
    21,
    54,
    56,
    68,
    90,
    104,
    106,
    116,
    120
   ],
   [
    6,
    11,
    17,
    22,
    33,
    55,
    69,
    91,
    107,
    120,
    121,
    130
   ],
   [
    7,
    23,
    27,
    33,
    34,
    56,
    68,
    84,
    92,
    121,
    122,
    123
   ],
   [
    7,
    13,
    14,
    18,
    57,
    59,
    70,
    93,
    103,
    107,
    119,
    123
   ],
   [
    8,
    9,
    14,
    19,
    30,
    58,
    71,
    94,
    104,
    123,
    124,
    131
   ],
   [
    10,
    20,
    24,
    30,
    31,
    59,
    70,
    87,
    95,
    120,
    124,
    125
   ],
   [
    0,
    16,
    22,
    23,
    27,
    60,
    73,
    96,
    110,
    112,
    122,
    126
   ],
   [
    12,
    17,
    23,
    28,
    39,
    61,
    72,
    74,
    97,
    113,
    126,
    127
   ],
   [
    0,
    13,
    29,
    33,
    39,
    40,
    66,
    73,
    90,
    98,
    127,
    128
   ],
   [
    1,
    13,
    19,
    20,
    24,
    62,
    76,
    99,
    109,
    113,
    125,
    128
   ],
   [
    14,
    15,
    20,
    25,
    36,
    63,
    75,
    77,
    100,
    110,
    128,
    129
   ],
   [
    1,
    16,
    26,
    30,
    36,
    37,
    67,
    76,
    93,
    101,
    126,
    129
   ],
   [
    3,
    22,
    28,
    29,
    33,
    64,
    66,
    79,
    102,
    116,
    118,
    130
   ],
   [
    2,
    18,
    23,
    29,
    34,
    45,
    68,
    78,
    80,
    103,
    119,
    130
   ],
   [
    3,
    19,
    35,
    39,
    45,
    46,
    68,
    69,
    79,
    96,
    104,
    131
   ],
   [
    5,
    19,
    25,
    26,
    30,
    65,
    67,
    82,
    105,
    115,
    119,
    131
   ],
   [
    4,
    20,
    21,
    26,
    31,
    42,
    70,
    81,
    83,
    106,
    116,
    131
   ],
   [
    5,
    22,
    32,
    36,
    42,
    43,
    70,
    71,
    82,
    99,
    107,
    130
   ],
   [
    6,
    8,
    28,
    34,
    35,
    39,
    69,
    72,
    85,
    108,
    122,
    124
   ],
   [
    7,
    24,
    29,
    35,
    40,
    51,
    72,
    73,
    84,
    86,
    109,
    125
   ],
   [
    9,
    11,
    25,
    31,
    32,
    36,
    71,
    75,
    88,
    111,
    121,
    125
   ],
   [
    10,
    26,
    27,
    32,
    37,
    48,
    75,
    76,
    87,
    89,
    112,
    122
   ],
   [
    12,
    14,
    34,
    40,
    41,
    45,
    66,
    74,
    78,
    91,
    114,
    129
   ],
   [
    15,
    17,
    31,
    37,
    38,
    42,
    67,
    77,
    81,
    94,
    117,
    127
   ]
  ],
  "Z": [
   [
    4,
    14,
    37,
    50,
    54,
    64,
    89,
    93,
    94,
    100,
    114,
    116
   ],
   [
    2,
    17,
    40,
    53,
    57,
    65,
    86,
    90,
    91,
    97,
    117,
    119
   ],
   [
    9,
    19,
    42,
    44,
    55,
    56,
    83,
    94,
    99,
    104,
    105,
    121
   ],
   [
    6,
    10,
    20,
    43,
    56,
    60,
    95,
    99,
    100,
    106,
    120,
    122
   ],
   [
    6,
    22,
    45,
    47,
    58,
    59,
    80,
    91,
    96,
    102,
    107,
    124
   ],
   [
    7,
    9,
    23,
    46,
    59,
    62,
    92,
    96,
    97,
    103,
    123,
    125
   ],
   [
    1,
    24,
    32,
    49,
    60,
    61,
    88,
    89,
    95,
    99,
    109,
    126
   ],
   [
    0,
    15,
    25,
    48,
    50,
    61,
    89,
    100,
    105,
    110,
    111,
    127
   ],
   [
    0,
    12,
    16,
    26,
    49,
    64,
    66,
    101,
    105,
    106,
    112,
    126
   ],
   [
    0,
    27,
    35,
    52,
    62,
    63,
    85,
    86,
    92,
    96,
    112,
    128
   ],
   [
    1,
    12,
    28,
    51,
    53,
    63,
    86,
    97,
    102,
    108,
    113,
    129
   ],
   [
    1,
    13,
    15,
    29,
    52,
    65,
    67,
    98,
    102,
    103,
    109,
    128
   ],
   [
    2,
    5,
    30,
    38,
    55,
    64,
    94,
    95,
    101,
    105,
    115,
    130
   ],
   [
    2,
    3,
    21,
    31,
    54,
    56,
    68,
    95,
    106,
    111,
    116,
    117
   ],
   [
    3,
    6,
    18,
    22,
    32,
    55,
    69,
    107,
    111,
    112,
    118,
    130
   ],
   [
    3,
    4,
    33,
    41,
    58,
    65,
    91,
    92,
    98,
    102,
    118,
    131
   ],
   [
    4,
    5,
    18,
    34,
    57,
    59,
    70,
    92,
    103,
    108,
    114,
    119
   ],
   [
    5,
    9,
    19,
    21,
    35,
    58,
    71,
    104,
    108,
    109,
    115,
    131
   ],
   [
    6,
    7,
    11,
    36,
    44,
    61,
    72,
    100,
    101,
    107,
    111,
    121
   ],
   [
    0,
    7,
    8,
    27,
    37,
    60,
    73,
    101,
    112,
    117,
    122,
    123
   ],
   [
    8,
    12,
    24,
    28,
    38,
    61,
    72,
    74,
    113,
    117,
    118,
    124
   ],
   [
    8,
    9,
    10,
    39,
    47,
    63,
    75,
    97,
    98,
    104,
    108,
    124
   ],
   [
    1,
    10,
    11,
    24,
    40,
    62,
    76,
    98,
    109,
    114,
    120,
    125
   ],
   [
    11,
    15,
    25,
    27,
    41,
    63,
    75,
    77,
    110,
    114,
    115,
    121
   ],
   [
    2,
    12,
    13,
    17,
    42,
    50,
    78,
    106,
    107,
    113,
    117,
    127
   ],
   [
    3,
    13,
    14,
    33,
    43,
    64,
    66,
    79,
    107,
    118,
    123,
    128
   ],
   [
    2,
    14,
    18,
    30,
    34,
    44,
    78,
    80,
    119,
    123,
    124,
    129
   ],
   [
    4,
    14,
    15,
    16,
    45,
    53,
    81,
    103,
    104,
    110,
    114,
    129
   ],
   [
    5,
    16,
    17,
    30,
    46,
    65,
    67,
    82,
    104,
    115,
    120,
    126
   ],
   [
    4,
    17,
    21,
    31,
    33,
    47,
    81,
    83,
    116,
    120,
    121,
    127
   ],
   [
    7,
    18,
    19,
    23,
    48,
    56,
    68,
    84,
    112,
    113,
    119,
    123
   ],
   [
    6,
    8,
    19,
    20,
    39,
    49,
    69,
    85,
    113,
    124,
    128,
    131
   ],
   [
    7,
    20,
    24,
    36,
    40,
    50,
    70,
    84,
    86,
    125,
    128,
    129
   ],
   [
    10,
    20,
    21,
    22,
    51,
    59,
    70,
    87,
    109,
    110,
    116,
    120
   ],
   [
    9,
    11,
    22,
    23,
    36,
    52,
    71,
    88,
    110,
    121,
    126,
    130
   ],
   [
    10,
    23,
    27,
    37,
    39,
    53,
    68,
    87,
    89,
    122,
    126,
    127
   ],
   [
    0,
    13,
    24,
    25,
    29,
    54,
    73,
    90,
    118,
    119,
    125,
    128
   ],
   [
    12,
    14,
    25,
    26,
    45,
    55,
    74,
    75,
    91,
    119,
    129,
    131
   ],
   [
    13,
    26,
    30,
    42,
    46,
    56,
    67,
    70,
    76,
    90,
    92,
    131
   ],
   [
    1,
    16,
    26,
    27,
    28,
    57,
    76,
    93,
    115,
    116,
    122,
    126
   ],
   [
    15,
    17,
    28,
    29,
    42,
    58,
    72,
    77,
    94,
    116,
    127,
    130
   ],
   [
    16,
    29,
    33,
    43,
    45,
    59,
    66,
    68,
    73,
    93,
    95,
    130
   ],
   [
    3,
    19,
    30,
    31,
    35,
    60,
    67,
    79,
    96,
    124,
    125,
    131
   ],
   [
    18,
    20,
    31,
    32,
    51,
    61,
    70,
    75,
    80,
    81,
    97,
    125
   ],
   [
    0,
    19,
    32,
    36,
    48,
    52,
    71,
    75,
    76,
    82,
    96,
    98
   ],
   [
    5,
    22,
    32,
    33,
    34,
    62,
    66,
    82,
    99,
    121,
    122,
    130
   ],
   [
    21,
    23,
    34,
    35,
    48,
    63,
    68,
    72,
    78,
    83,
    100,
    122
   ],
   [
    1,
    22,
    35,
    39,
    49,
    51,
    69,
    72,
    73,
    79,
    99,
    101
   ],
   [
    8,
    25,
    36,
    37,
    41,
    64,
    67,
    71,
    75,
    85,
    102,
    129
   ],
   [
    2,
    24,
    26,
    37,
    38,
    57,
    67,
    76,
    81,
    86,
    87,
    103
   ],
   [
    3,
    25,
    38,
    42,
    54,
    58,
    77,
    81,
    82,
    88,
    102,
    104
   ],
   [
    11,
    28,
    38,
    39,
    40,
    65,
    66,
    69,
    72,
    88,
    105,
    127
   ],
   [
    4,
    27,
    29,
    40,
    41,
    54,
    66,
    73,
    78,
    84,
    89,
    106
   ],
   [
    5,
    28,
    41,
    45,
    55,
    57,
    74,
    78,
    79,
    85,
    105,
    107
   ],
   [
    6,
    14,
    31,
    42,
    43,
    47,
    70,
    71,
    77,
    81,
    91,
    108
   ],
   [
    7,
    30,
    32,
    43,
    44,
    62,
    71,
    82,
    87,
    92,
    93,
    109
   ],
   [
    8,
    31,
    44,
    48,
    60,
    63,
    83,
    87,
    88,
    94,
    108,
    110
   ],
   [
    9,
    17,
    34,
    44,
    45,
    46,
    68,
    69,
    74,
    78,
    94,
    111
   ],
   [
    10,
    33,
    35,
    46,
    47,
    60,
    69,
    79,
    84,
    90,
    95,
    112
   ],
   [
    11,
    34,
    47,
    51,
    61,
    62,
    80,
    84,
    85,
    91,
    111,
    113
   ],
   [
    12,
    20,
    37,
    48,
    49,
    53,
    76,
    77,
    83,
    87,
    97,
    114
   ],
   [
    13,
    36,
    38,
    49,
    50,
    65,
    77,
    88,
    93,
    98,
    99,
    115
   ],
   [
    15,
    23,
    40,
    50,
    51,
    52,
    73,
    74,
    80,
    84,
    100,
    117
   ],
   [
    16,
    39,
    41,
    52,
    53,
    64,
    74,
    85,
    90,
    96,
    101,
    118
   ],
   [
    18,
    26,
    43,
    54,
    55,
    59,
    82,
    83,
    89,
    93,
    103,
    120
   ],
   [
    21,
    29,
    46,
    56,
    57,
    58,
    79,
    80,
    86,
    90,
    106,
    123
   ]
  ]
 },
 "distance": {
  "d": 17,
  "X": {
   "value": 17,
   "confidence": "upper_bound",
   "witness": [
    0,
    7,
    9,
    10,
    23,
    32,
    44,
    48,
    60,
    62,
    70,
    80,
    90,
    96,
    97,
    108,
    112
   ]
  },
  "Z": {
   "value": 17,
   "confidence": "upper_bound",
   "witness": [
    11,
    35,
    44,
    48,
    60,
    61,
    64,
    69,
    71,
    79,
    87,
    96,
    97,
    99,
    108,
    109,
    124
   ]
  }
 },
 "provenance": {
  "authors": [
   "@mathysrennela"
  ],
  "construction": "2BGA (arXiv:2306.16400) on GAP C66, weight-6 random supports a=[23, 27, 28, 34, 48, 50] b=[4, 14, 37, 50, 54, 64]",
  "references": [
   "arXiv:2306.16400"
  ],
  "date": "2026-07-29",
  "notes": "Found by GAP-enhanced autoresearch (see fieldnotes/2026-07-28-gap-campaign-results.md). 2BGA code on C66, weight-6 random supports. Distance upper bound confirmed flat across 400->1M RIS trials. Literature novelty unverified.",
  "model": "Xiaomi MiMo-V2.5"
 },
 "family": "generalized-bicycle"
}