{
 "schema_version": "0.1",
 "name": "[[144,6,18]] 2BGA on C36xC2",
 "code_type": "CSS",
 "n": 144,
 "k": 6,
 "checks": {
  "X": [
   [
    5,
    9,
    20,
    33,
    47,
    63,
    80,
    83,
    99,
    107,
    121,
    141
   ],
   [
    9,
    16,
    29,
    43,
    55,
    67,
    72,
    91,
    109,
    117,
    124,
    129
   ],
   [
    9,
    12,
    20,
    32,
    48,
    52,
    76,
    86,
    91,
    106,
    122,
    143
   ],
   [
    2,
    15,
    23,
    30,
    38,
    51,
    80,
    94,
    99,
    118,
    125,
    135
   ],
   [
    15,
    16,
    24,
    39,
    62,
    70,
    73,
    74,
    82,
    89,
    132,
    136
   ],
   [
    17,
    25,
    26,
    40,
    53,
    63,
    76,
    82,
    96,
    101,
    113,
    120
   ],
   [
    16,
    20,
    29,
    42,
    56,
    60,
    74,
    80,
    94,
    116,
    130,
    135
   ],
   [
    6,
    23,
    33,
    40,
    48,
    59,
    72,
    75,
    109,
    126,
    133,
    139
   ],
   [
    5,
    12,
    23,
    24,
    66,
    71,
    76,
    78,
    90,
    97,
    137,
    140
   ],
   [
    25,
    35,
    36,
    50,
    61,
    67,
    77,
    80,
    85,
    90,
    111,
    128
   ],
   [
    0,
    17,
    23,
    28,
    38,
    62,
    86,
    91,
    103,
    109,
    124,
    136
   ],
   [
    24,
    28,
    29,
    39,
    51,
    65,
    72,
    75,
    78,
    102,
    125,
    139
   ],
   [
    13,
    25,
    30,
    40,
    52,
    64,
    75,
    83,
    88,
    105,
    111,
    126
   ],
   [
    10,
    32,
    35,
    42,
    49,
    55,
    74,
    94,
    101,
    113,
    118,
    137
   ],
   [
    11,
    32,
    33,
    43,
    50,
    56,
    73,
    79,
    82,
    98,
    106,
    142
   ],
   [
    2,
    12,
    34,
    44,
    57,
    65,
    86,
    96,
    98,
    115,
    120,
    134
   ],
   [
    34,
    35,
    45,
    46,
    58,
    70,
    72,
    81,
    84,
    93,
    99,
    100
   ],
   [
    0,
    1,
    6,
    14,
    26,
    47,
    88,
    100,
    117,
    122,
    131,
    136
   ],
   [
    1,
    25,
    33,
    38,
    48,
    66,
    74,
    82,
    94,
    113,
    132,
    140
   ],
   [
    5,
    12,
    38,
    39,
    59,
    69,
    73,
    79,
    83,
    112,
    133,
    142
   ],
   [
    21,
    35,
    40,
    50,
    60,
    68,
    79,
    84,
    91,
    96,
    98,
    115
   ],
   [
    18,
    42,
    45,
    51,
    57,
    62,
    75,
    78,
    85,
    111,
    126,
    141
   ],
   [
    15,
    19,
    28,
    42,
    43,
    58,
    76,
    86,
    90,
    108,
    116,
    143
   ],
   [
    6,
    20,
    44,
    53,
    64,
    69,
    77,
    87,
    94,
    108,
    128,
    138
   ],
   [
    17,
    30,
    44,
    45,
    54,
    71,
    73,
    88,
    92,
    103,
    109,
    110
   ],
   [
    1,
    4,
    11,
    22,
    36,
    55,
    89,
    96,
    104,
    110,
    130,
    140
   ],
   [
    3,
    34,
    42,
    47,
    50,
    55,
    72,
    88,
    103,
    109,
    126,
    142
   ],
   [
    4,
    35,
    43,
    47,
    48,
    56,
    75,
    78,
    85,
    90,
    121,
    137
   ],
   [
    0,
    5,
    44,
    49,
    57,
    70,
    85,
    99,
    105,
    111,
    123,
    128
   ],
   [
    31,
    45,
    49,
    50,
    58,
    65,
    74,
    77,
    86,
    87,
    92,
    108
   ],
   [
    1,
    2,
    6,
    13,
    27,
    32,
    87,
    101,
    107,
    125,
    130,
    138
   ],
   [
    17,
    27,
    51,
    59,
    64,
    66,
    79,
    83,
    84,
    93,
    98,
    124
   ],
   [
    4,
    10,
    28,
    52,
    60,
    67,
    84,
    103,
    115,
    122,
    131,
    134
   ],
   [
    11,
    29,
    52,
    53,
    61,
    68,
    75,
    81,
    95,
    100,
    118,
    119
   ],
   [
    3,
    7,
    12,
    18,
    30,
    31,
    105,
    117,
    119,
    133,
    136,
    142
   ],
   [
    3,
    4,
    8,
    19,
    46,
    62,
    77,
    97,
    102,
    114,
    120,
    121
   ],
   [
    7,
    44,
    51,
    55,
    58,
    62,
    73,
    82,
    96,
    98,
    113,
    143
   ],
   [
    8,
    15,
    28,
    45,
    55,
    56,
    79,
    83,
    93,
    99,
    129,
    141
   ],
   [
    1,
    9,
    53,
    57,
    64,
    71,
    84,
    93,
    100,
    109,
    115,
    131
   ],
   [
    17,
    30,
    41,
    57,
    58,
    69,
    78,
    81,
    94,
    95,
    101,
    118
   ],
   [
    4,
    6,
    11,
    21,
    37,
    42,
    95,
    102,
    111,
    117,
    119,
    133
   ],
   [
    25,
    32,
    37,
    47,
    59,
    68,
    86,
    91,
    92,
    103,
    108,
    132
   ],
   [
    8,
    18,
    38,
    60,
    65,
    70,
    87,
    92,
    104,
    113,
    130,
    138
   ],
   [
    19,
    34,
    39,
    49,
    60,
    61,
    79,
    88,
    105,
    110,
    126,
    127
   ],
   [
    7,
    14,
    20,
    27,
    40,
    41,
    89,
    106,
    115,
    127,
    140,
    143
   ],
   [
    0,
    2,
    7,
    8,
    54,
    66,
    81,
    107,
    112,
    123,
    128,
    129
   ],
   [
    14,
    30,
    53,
    59,
    62,
    66,
    76,
    77,
    85,
    90,
    108,
    135
   ],
   [
    3,
    11,
    15,
    60,
    63,
    67,
    77,
    107,
    118,
    123,
    128,
    138
   ],
   [
    4,
    16,
    61,
    63,
    64,
    68,
    82,
    87,
    92,
    103,
    104,
    110
   ],
   [
    5,
    7,
    10,
    17,
    18,
    46,
    104,
    120,
    125,
    130,
    137,
    140
   ],
   [
    8,
    10,
    11,
    19,
    31,
    51,
    84,
    89,
    105,
    106,
    112,
    127
   ],
   [
    0,
    27,
    48,
    65,
    69,
    71,
    85,
    95,
    101,
    102,
    114,
    119
   ],
   [
    13,
    16,
    21,
    28,
    36,
    49,
    83,
    102,
    123,
    133,
    141,
    142
   ],
   [
    13,
    14,
    22,
    29,
    37,
    50,
    87,
    97,
    116,
    121,
    134,
    135
   ],
   [
    22,
    32,
    40,
    47,
    61,
    66,
    80,
    81,
    93,
    99,
    118,
    139
   ],
   [
    7,
    19,
    23,
    65,
    67,
    70,
    81,
    100,
    117,
    119,
    126,
    131
   ],
   [
    8,
    24,
    34,
    49,
    67,
    68,
    90,
    95,
    101,
    113,
    114,
    120
   ],
   [
    9,
    14,
    18,
    25,
    27,
    54,
    102,
    114,
    121,
    128,
    133,
    141
   ],
   [
    0,
    2,
    18,
    19,
    41,
    59,
    92,
    97,
    115,
    116,
    122,
    134
   ],
   [
    1,
    37,
    52,
    56,
    63,
    69,
    93,
    105,
    111,
    112,
    123,
    127
   ],
   [
    21,
    24,
    31,
    38,
    46,
    57,
    91,
    106,
    112,
    124,
    131,
    143
   ],
   [
    3,
    10,
    21,
    22,
    39,
    58,
    95,
    107,
    125,
    129,
    138,
    139
   ],
   [
    2,
    14,
    33,
    69,
    70,
    71,
    88,
    89,
    98,
    104,
    110,
    127
   ],
   [
    15,
    21,
    26,
    29,
    34,
    36,
    76,
    89,
    134,
    137,
    140,
    143
   ],
   [
    16,
    22,
    26,
    27,
    35,
    37,
    100,
    106,
    112,
    123,
    124,
    129
   ],
   [
    5,
    31,
    41,
    48,
    54,
    64,
    74,
    104,
    116,
    122,
    132,
    135
   ],
   [
    6,
    22,
    43,
    52,
    63,
    71,
    96,
    97,
    108,
    114,
    120,
    134
   ],
   [
    23,
    31,
    36,
    39,
    44,
    46,
    80,
    97,
    121,
    135,
    138,
    141
   ],
   [
    3,
    10,
    24,
    36,
    37,
    45,
    110,
    116,
    122,
    131,
    132,
    136
   ],
   [
    9,
    13,
    26,
    41,
    56,
    68,
    78,
    114,
    125,
    130,
    137,
    139
   ],
   [
    12,
    33,
    41,
    46,
    53,
    54,
    72,
    107,
    119,
    124,
    129,
    139
   ],
   [
    13,
    20,
    26,
    43,
    54,
    61,
    73,
    117,
    127,
    132,
    136,
    142
   ]
  ],
  "Z": [
   [
    1,
    7,
    11,
    16,
    26,
    70,
    82,
    89,
    100,
    117,
    123,
    130
   ],
   [
    4,
    14,
    19,
    24,
    36,
    71,
    89,
    90,
    97,
    102,
    110,
    131
   ],
   [
    4,
    6,
    13,
    18,
    29,
    65,
    75,
    87,
    102,
    117,
    130,
    134
   ],
   [
    7,
    11,
    12,
    21,
    27,
    33,
    98,
    106,
    107,
    119,
    133,
    140
   ],
   [
    2,
    5,
    8,
    22,
    46,
    63,
    97,
    99,
    104,
    107,
    112,
    120
   ],
   [
    9,
    23,
    29,
    35,
    46,
    47,
    72,
    80,
    91,
    100,
    121,
    137
   ],
   [
    8,
    11,
    21,
    27,
    39,
    69,
    79,
    89,
    95,
    102,
    112,
    138
   ],
   [
    14,
    19,
    20,
    31,
    37,
    43,
    106,
    108,
    116,
    117,
    121,
    127
   ],
   [
    0,
    3,
    6,
    9,
    54,
    67,
    107,
    109,
    114,
    117,
    122,
    128
   ],
   [
    16,
    33,
    39,
    45,
    54,
    55,
    72,
    73,
    74,
    110,
    129,
    141
   ],
   [
    4,
    5,
    14,
    18,
    36,
    48,
    85,
    104,
    121,
    122,
    133,
    140
   ],
   [
    0,
    12,
    19,
    31,
    37,
    52,
    86,
    97,
    105,
    112,
    119,
    122
   ],
   [
    16,
    20,
    31,
    32,
    38,
    50,
    74,
    80,
    87,
    91,
    106,
    142
   ],
   [
    9,
    21,
    27,
    28,
    46,
    51,
    84,
    102,
    124,
    125,
    141,
    143
   ],
   [
    2,
    10,
    15,
    22,
    29,
    41,
    89,
    116,
    118,
    125,
    129,
    134
   ],
   [
    23,
    29,
    30,
    42,
    48,
    53,
    75,
    76,
    94,
    109,
    119,
    135
   ],
   [
    12,
    17,
    24,
    26,
    43,
    62,
    73,
    76,
    78,
    120,
    124,
    136
   ],
   [
    4,
    25,
    44,
    50,
    62,
    63,
    77,
    82,
    96,
    103,
    111,
    121
   ],
   [
    8,
    9,
    22,
    27,
    46,
    56,
    93,
    106,
    114,
    121,
    129,
    130
   ],
   [
    1,
    2,
    10,
    20,
    41,
    60,
    94,
    107,
    115,
    122,
    127,
    130
   ],
   [
    24,
    29,
    41,
    42,
    48,
    58,
    72,
    74,
    78,
    95,
    116,
    143
   ],
   [
    16,
    31,
    37,
    38,
    54,
    59,
    92,
    112,
    124,
    132,
    133,
    135
   ],
   [
    3,
    6,
    13,
    18,
    23,
    39,
    97,
    125,
    126,
    133,
    136,
    138
   ],
   [
    33,
    39,
    40,
    51,
    56,
    61,
    75,
    79,
    80,
    82,
    127,
    139
   ],
   [
    5,
    15,
    20,
    25,
    36,
    66,
    76,
    80,
    83,
    128,
    132,
    140
   ],
   [
    8,
    35,
    53,
    58,
    66,
    67,
    77,
    81,
    84,
    90,
    113,
    129
   ],
   [
    14,
    15,
    20,
    31,
    36,
    62,
    77,
    89,
    135,
    136,
    141,
    143
   ],
   [
    0,
    3,
    16,
    28,
    37,
    54,
    102,
    103,
    116,
    123,
    129,
    136
   ],
   [
    16,
    17,
    33,
    38,
    55,
    64,
    82,
    83,
    94,
    104,
    109,
    124
   ],
   [
    5,
    13,
    30,
    39,
    51,
    56,
    73,
    78,
    83,
    105,
    125,
    135
   ],
   [
    11,
    35,
    40,
    51,
    52,
    57,
    75,
    84,
    96,
    106,
    111,
    118
   ],
   [
    10,
    24,
    26,
    32,
    41,
    48,
    101,
    106,
    122,
    132,
    137,
    139
   ],
   [
    25,
    42,
    48,
    49,
    62,
    65,
    74,
    85,
    86,
    102,
    113,
    126
   ],
   [
    12,
    28,
    34,
    43,
    50,
    59,
    72,
    79,
    86,
    90,
    134,
    142
   ],
   [
    2,
    14,
    44,
    50,
    60,
    64,
    87,
    88,
    98,
    115,
    128,
    135
   ],
   [
    0,
    30,
    45,
    47,
    61,
    70,
    81,
    85,
    88,
    92,
    99,
    136
   ],
   [
    22,
    23,
    29,
    41,
    46,
    66,
    81,
    97,
    124,
    135,
    139,
    140
   ],
   [
    1,
    7,
    10,
    24,
    26,
    38,
    112,
    113,
    125,
    131,
    136,
    140
   ],
   [
    24,
    25,
    43,
    48,
    62,
    68,
    75,
    82,
    90,
    91,
    114,
    132
   ],
   [
    9,
    12,
    21,
    28,
    40,
    59,
    76,
    83,
    91,
    115,
    133,
    139
   ],
   [
    19,
    45,
    50,
    59,
    60,
    64,
    77,
    79,
    84,
    92,
    116,
    126
   ],
   [
    5,
    13,
    18,
    36,
    42,
    56,
    111,
    116,
    130,
    137,
    141,
    142
   ],
   [
    35,
    51,
    56,
    57,
    66,
    69,
    78,
    85,
    93,
    94,
    98,
    112
   ],
   [
    15,
    20,
    32,
    38,
    44,
    58,
    73,
    86,
    94,
    99,
    138,
    143
   ],
   [
    6,
    22,
    53,
    58,
    65,
    68,
    87,
    95,
    96,
    100,
    108,
    139
   ],
   [
    1,
    17,
    34,
    40,
    55,
    71,
    88,
    93,
    96,
    101,
    109,
    140
   ],
   [
    3,
    13,
    33,
    39,
    47,
    54,
    88,
    107,
    121,
    132,
    139,
    142
   ],
   [
    33,
    34,
    40,
    51,
    55,
    70,
    72,
    89,
    98,
    99,
    113,
    126
   ],
   [
    5,
    15,
    35,
    49,
    56,
    66,
    74,
    79,
    90,
    99,
    123,
    137
   ],
   [
    0,
    27,
    35,
    53,
    57,
    67,
    85,
    100,
    101,
    115,
    124,
    128
   ],
   [
    2,
    17,
    32,
    58,
    65,
    68,
    81,
    86,
    92,
    98,
    101,
    125
   ],
   [
    28,
    45,
    47,
    52,
    59,
    64,
    75,
    83,
    93,
    103,
    108,
    122
   ],
   [
    1,
    10,
    31,
    60,
    64,
    70,
    74,
    84,
    104,
    105,
    131,
    138
   ],
   [
    3,
    11,
    30,
    49,
    61,
    69,
    77,
    95,
    105,
    110,
    118,
    142
   ],
   [
    7,
    12,
    21,
    26,
    43,
    55,
    96,
    117,
    129,
    137,
    142,
    143
   ],
   [
    43,
    44,
    50,
    59,
    62,
    71,
    73,
    85,
    97,
    98,
    108,
    109
   ],
   [
    9,
    23,
    28,
    45,
    47,
    57,
    78,
    86,
    99,
    109,
    131,
    141
   ],
   [
    1,
    37,
    45,
    61,
    64,
    70,
    87,
    93,
    100,
    110,
    111,
    132
   ],
   [
    6,
    25,
    30,
    42,
    49,
    69,
    88,
    94,
    101,
    108,
    111,
    133
   ],
   [
    17,
    32,
    38,
    55,
    60,
    68,
    79,
    91,
    103,
    113,
    118,
    130
   ],
   [
    4,
    18,
    41,
    65,
    68,
    71,
    78,
    92,
    104,
    114,
    115,
    119
   ],
   [
    7,
    19,
    34,
    40,
    52,
    57,
    81,
    105,
    115,
    120,
    126,
    143
   ],
   [
    15,
    32,
    53,
    58,
    63,
    66,
    76,
    82,
    93,
    107,
    108,
    118
   ],
   [
    3,
    6,
    46,
    53,
    65,
    67,
    72,
    77,
    119,
    120,
    131,
    138
   ],
   [
    4,
    10,
    17,
    34,
    68,
    71,
    84,
    95,
    103,
    110,
    120,
    137
   ],
   [
    8,
    13,
    27,
    49,
    63,
    69,
    83,
    87,
    101,
    114,
    123,
    127
   ],
   [
    23,
    30,
    42,
    47,
    61,
    67,
    80,
    90,
    103,
    117,
    118,
    126
   ],
   [
    7,
    11,
    54,
    61,
    69,
    70,
    73,
    81,
    104,
    119,
    127,
    128
   ],
   [
    8,
    18,
    25,
    44,
    49,
    63,
    92,
    105,
    113,
    120,
    128,
    141
   ],
   [
    0,
    21,
    37,
    52,
    57,
    67,
    91,
    95,
    111,
    123,
    131,
    134
   ],
   [
    14,
    19,
    26,
    34,
    52,
    71,
    76,
    88,
    100,
    114,
    127,
    134
   ],
   [
    2,
    22,
    36,
    44,
    60,
    63,
    80,
    96,
    110,
    123,
    134,
    138
   ]
  ]
 },
 "distance": {
  "d": 18,
  "X": {
   "value": 18,
   "confidence": "upper_bound",
   "witness": [
    8,
    11,
    19,
    21,
    28,
    37,
    47,
    63,
    66,
    69,
    81,
    88,
    90,
    92,
    96,
    100,
    114,
    128
   ]
  },
  "Z": {
   "value": 18,
   "confidence": "upper_bound",
   "witness": [
    10,
    14,
    23,
    30,
    33,
    36,
    44,
    49,
    82,
    88,
    89,
    90,
    95,
    103,
    108,
    119,
    120,
    121
   ]
  }
 },
 "provenance": {
  "authors": [
   "@mathysrennela"
  ],
  "construction": "2BGA (arXiv:2306.16400) on GAP C36xC2, weight-6 random supports a=[10, 17, 28, 45, 51, 58] b=[1, 7, 11, 16, 26, 70]",
  "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 C36xC2, 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"
}
