{
 "schema_version": "0.3",
 "name": "[[186,14,15]]",
 "code_type": "CSS",
 "n": 186,
 "k": 14,
 "checks": {
  "X": [
   [
    0,
    56,
    78,
    93,
    115,
    119,
    122
   ],
   [
    1,
    57,
    79,
    94,
    116,
    120,
    123
   ],
   [
    2,
    58,
    80,
    93,
    95,
    117,
    121
   ],
   [
    3,
    59,
    81,
    94,
    96,
    118,
    122
   ],
   [
    4,
    60,
    82,
    95,
    97,
    119,
    123
   ],
   [
    5,
    61,
    83,
    93,
    96,
    98,
    120
   ],
   [
    6,
    31,
    84,
    94,
    97,
    99,
    121
   ],
   [
    7,
    32,
    85,
    95,
    98,
    100,
    122
   ],
   [
    8,
    33,
    86,
    96,
    99,
    101,
    123
   ],
   [
    9,
    34,
    87,
    93,
    97,
    100,
    102
   ],
   [
    10,
    35,
    88,
    94,
    98,
    101,
    103
   ],
   [
    11,
    36,
    89,
    95,
    99,
    102,
    104
   ],
   [
    12,
    37,
    90,
    96,
    100,
    103,
    105
   ],
   [
    13,
    38,
    91,
    97,
    101,
    104,
    106
   ],
   [
    14,
    39,
    92,
    98,
    102,
    105,
    107
   ],
   [
    15,
    40,
    62,
    99,
    103,
    106,
    108
   ],
   [
    16,
    41,
    63,
    100,
    104,
    107,
    109
   ],
   [
    17,
    42,
    64,
    101,
    105,
    108,
    110
   ],
   [
    18,
    43,
    65,
    102,
    106,
    109,
    111
   ],
   [
    19,
    44,
    66,
    103,
    107,
    110,
    112
   ],
   [
    20,
    45,
    67,
    104,
    108,
    111,
    113
   ],
   [
    21,
    46,
    68,
    105,
    109,
    112,
    114
   ],
   [
    22,
    47,
    69,
    106,
    110,
    113,
    115
   ],
   [
    23,
    48,
    70,
    107,
    111,
    114,
    116
   ],
   [
    24,
    49,
    71,
    108,
    112,
    115,
    117
   ],
   [
    25,
    50,
    72,
    109,
    113,
    116,
    118
   ],
   [
    26,
    51,
    73,
    110,
    114,
    117,
    119
   ],
   [
    27,
    52,
    74,
    111,
    115,
    118,
    120
   ],
   [
    28,
    53,
    75,
    112,
    116,
    119,
    121
   ],
   [
    29,
    54,
    76,
    113,
    117,
    120,
    122
   ],
   [
    30,
    55,
    77,
    114,
    118,
    121,
    123
   ],
   [
    16,
    31,
    87,
    124,
    146,
    150,
    153
   ],
   [
    17,
    32,
    88,
    125,
    147,
    151,
    154
   ],
   [
    18,
    33,
    89,
    124,
    126,
    148,
    152
   ],
   [
    19,
    34,
    90,
    125,
    127,
    149,
    153
   ],
   [
    20,
    35,
    91,
    126,
    128,
    150,
    154
   ],
   [
    21,
    36,
    92,
    124,
    127,
    129,
    151
   ],
   [
    22,
    37,
    62,
    125,
    128,
    130,
    152
   ],
   [
    23,
    38,
    63,
    126,
    129,
    131,
    153
   ],
   [
    24,
    39,
    64,
    127,
    130,
    132,
    154
   ],
   [
    25,
    40,
    65,
    124,
    128,
    131,
    133
   ],
   [
    26,
    41,
    66,
    125,
    129,
    132,
    134
   ],
   [
    27,
    42,
    67,
    126,
    130,
    133,
    135
   ],
   [
    28,
    43,
    68,
    127,
    131,
    134,
    136
   ],
   [
    29,
    44,
    69,
    128,
    132,
    135,
    137
   ],
   [
    30,
    45,
    70,
    129,
    133,
    136,
    138
   ],
   [
    0,
    46,
    71,
    130,
    134,
    137,
    139
   ],
   [
    1,
    47,
    72,
    131,
    135,
    138,
    140
   ],
   [
    2,
    48,
    73,
    132,
    136,
    139,
    141
   ],
   [
    3,
    49,
    74,
    133,
    137,
    140,
    142
   ],
   [
    4,
    50,
    75,
    134,
    138,
    141,
    143
   ],
   [
    5,
    51,
    76,
    135,
    139,
    142,
    144
   ],
   [
    6,
    52,
    77,
    136,
    140,
    143,
    145
   ],
   [
    7,
    53,
    78,
    137,
    141,
    144,
    146
   ],
   [
    8,
    54,
    79,
    138,
    142,
    145,
    147
   ],
   [
    9,
    55,
    80,
    139,
    143,
    146,
    148
   ],
   [
    10,
    56,
    81,
    140,
    144,
    147,
    149
   ],
   [
    11,
    57,
    82,
    141,
    145,
    148,
    150
   ],
   [
    12,
    58,
    83,
    142,
    146,
    149,
    151
   ],
   [
    13,
    59,
    84,
    143,
    147,
    150,
    152
   ],
   [
    14,
    60,
    85,
    144,
    148,
    151,
    153
   ],
   [
    15,
    61,
    86,
    145,
    149,
    152,
    154
   ],
   [
    25,
    47,
    62,
    155,
    177,
    181,
    184
   ],
   [
    26,
    48,
    63,
    156,
    178,
    182,
    185
   ],
   [
    27,
    49,
    64,
    155,
    157,
    179,
    183
   ],
   [
    28,
    50,
    65,
    156,
    158,
    180,
    184
   ],
   [
    29,
    51,
    66,
    157,
    159,
    181,
    185
   ],
   [
    30,
    52,
    67,
    155,
    158,
    160,
    182
   ],
   [
    0,
    53,
    68,
    156,
    159,
    161,
    183
   ],
   [
    1,
    54,
    69,
    157,
    160,
    162,
    184
   ],
   [
    2,
    55,
    70,
    158,
    161,
    163,
    185
   ],
   [
    3,
    56,
    71,
    155,
    159,
    162,
    164
   ],
   [
    4,
    57,
    72,
    156,
    160,
    163,
    165
   ],
   [
    5,
    58,
    73,
    157,
    161,
    164,
    166
   ],
   [
    6,
    59,
    74,
    158,
    162,
    165,
    167
   ],
   [
    7,
    60,
    75,
    159,
    163,
    166,
    168
   ],
   [
    8,
    61,
    76,
    160,
    164,
    167,
    169
   ],
   [
    9,
    31,
    77,
    161,
    165,
    168,
    170
   ],
   [
    10,
    32,
    78,
    162,
    166,
    169,
    171
   ],
   [
    11,
    33,
    79,
    163,
    167,
    170,
    172
   ],
   [
    12,
    34,
    80,
    164,
    168,
    171,
    173
   ],
   [
    13,
    35,
    81,
    165,
    169,
    172,
    174
   ],
   [
    14,
    36,
    82,
    166,
    170,
    173,
    175
   ],
   [
    15,
    37,
    83,
    167,
    171,
    174,
    176
   ],
   [
    16,
    38,
    84,
    168,
    172,
    175,
    177
   ],
   [
    17,
    39,
    85,
    169,
    173,
    176,
    178
   ],
   [
    18,
    40,
    86,
    170,
    174,
    177,
    179
   ],
   [
    19,
    41,
    87,
    171,
    175,
    178,
    180
   ],
   [
    20,
    42,
    88,
    172,
    176,
    179,
    181
   ],
   [
    21,
    43,
    89,
    173,
    177,
    180,
    182
   ],
   [
    22,
    44,
    90,
    174,
    178,
    181,
    183
   ],
   [
    23,
    45,
    91,
    175,
    179,
    182,
    184
   ],
   [
    24,
    46,
    92,
    176,
    180,
    183,
    185
   ]
  ],
  "Z": [
   [
    0,
    2,
    5,
    9,
    93,
    139,
    161
   ],
   [
    1,
    3,
    6,
    10,
    94,
    140,
    162
   ],
   [
    2,
    4,
    7,
    11,
    95,
    141,
    163
   ],
   [
    3,
    5,
    8,
    12,
    96,
    142,
    164
   ],
   [
    4,
    6,
    9,
    13,
    97,
    143,
    165
   ],
   [
    5,
    7,
    10,
    14,
    98,
    144,
    166
   ],
   [
    6,
    8,
    11,
    15,
    99,
    145,
    167
   ],
   [
    7,
    9,
    12,
    16,
    100,
    146,
    168
   ],
   [
    8,
    10,
    13,
    17,
    101,
    147,
    169
   ],
   [
    9,
    11,
    14,
    18,
    102,
    148,
    170
   ],
   [
    10,
    12,
    15,
    19,
    103,
    149,
    171
   ],
   [
    11,
    13,
    16,
    20,
    104,
    150,
    172
   ],
   [
    12,
    14,
    17,
    21,
    105,
    151,
    173
   ],
   [
    13,
    15,
    18,
    22,
    106,
    152,
    174
   ],
   [
    14,
    16,
    19,
    23,
    107,
    153,
    175
   ],
   [
    15,
    17,
    20,
    24,
    108,
    154,
    176
   ],
   [
    16,
    18,
    21,
    25,
    109,
    124,
    177
   ],
   [
    17,
    19,
    22,
    26,
    110,
    125,
    178
   ],
   [
    18,
    20,
    23,
    27,
    111,
    126,
    179
   ],
   [
    19,
    21,
    24,
    28,
    112,
    127,
    180
   ],
   [
    20,
    22,
    25,
    29,
    113,
    128,
    181
   ],
   [
    21,
    23,
    26,
    30,
    114,
    129,
    182
   ],
   [
    0,
    22,
    24,
    27,
    115,
    130,
    183
   ],
   [
    1,
    23,
    25,
    28,
    116,
    131,
    184
   ],
   [
    2,
    24,
    26,
    29,
    117,
    132,
    185
   ],
   [
    3,
    25,
    27,
    30,
    118,
    133,
    155
   ],
   [
    0,
    4,
    26,
    28,
    119,
    134,
    156
   ],
   [
    1,
    5,
    27,
    29,
    120,
    135,
    157
   ],
   [
    2,
    6,
    28,
    30,
    121,
    136,
    158
   ],
   [
    0,
    3,
    7,
    29,
    122,
    137,
    159
   ],
   [
    1,
    4,
    8,
    30,
    123,
    138,
    160
   ],
   [
    31,
    33,
    36,
    40,
    99,
    124,
    170
   ],
   [
    32,
    34,
    37,
    41,
    100,
    125,
    171
   ],
   [
    33,
    35,
    38,
    42,
    101,
    126,
    172
   ],
   [
    34,
    36,
    39,
    43,
    102,
    127,
    173
   ],
   [
    35,
    37,
    40,
    44,
    103,
    128,
    174
   ],
   [
    36,
    38,
    41,
    45,
    104,
    129,
    175
   ],
   [
    37,
    39,
    42,
    46,
    105,
    130,
    176
   ],
   [
    38,
    40,
    43,
    47,
    106,
    131,
    177
   ],
   [
    39,
    41,
    44,
    48,
    107,
    132,
    178
   ],
   [
    40,
    42,
    45,
    49,
    108,
    133,
    179
   ],
   [
    41,
    43,
    46,
    50,
    109,
    134,
    180
   ],
   [
    42,
    44,
    47,
    51,
    110,
    135,
    181
   ],
   [
    43,
    45,
    48,
    52,
    111,
    136,
    182
   ],
   [
    44,
    46,
    49,
    53,
    112,
    137,
    183
   ],
   [
    45,
    47,
    50,
    54,
    113,
    138,
    184
   ],
   [
    46,
    48,
    51,
    55,
    114,
    139,
    185
   ],
   [
    47,
    49,
    52,
    56,
    115,
    140,
    155
   ],
   [
    48,
    50,
    53,
    57,
    116,
    141,
    156
   ],
   [
    49,
    51,
    54,
    58,
    117,
    142,
    157
   ],
   [
    50,
    52,
    55,
    59,
    118,
    143,
    158
   ],
   [
    51,
    53,
    56,
    60,
    119,
    144,
    159
   ],
   [
    52,
    54,
    57,
    61,
    120,
    145,
    160
   ],
   [
    31,
    53,
    55,
    58,
    121,
    146,
    161
   ],
   [
    32,
    54,
    56,
    59,
    122,
    147,
    162
   ],
   [
    33,
    55,
    57,
    60,
    123,
    148,
    163
   ],
   [
    34,
    56,
    58,
    61,
    93,
    149,
    164
   ],
   [
    31,
    35,
    57,
    59,
    94,
    150,
    165
   ],
   [
    32,
    36,
    58,
    60,
    95,
    151,
    166
   ],
   [
    33,
    37,
    59,
    61,
    96,
    152,
    167
   ],
   [
    31,
    34,
    38,
    60,
    97,
    153,
    168
   ],
   [
    32,
    35,
    39,
    61,
    98,
    154,
    169
   ],
   [
    62,
    64,
    67,
    71,
    108,
    130,
    155
   ],
   [
    63,
    65,
    68,
    72,
    109,
    131,
    156
   ],
   [
    64,
    66,
    69,
    73,
    110,
    132,
    157
   ],
   [
    65,
    67,
    70,
    74,
    111,
    133,
    158
   ],
   [
    66,
    68,
    71,
    75,
    112,
    134,
    159
   ],
   [
    67,
    69,
    72,
    76,
    113,
    135,
    160
   ],
   [
    68,
    70,
    73,
    77,
    114,
    136,
    161
   ],
   [
    69,
    71,
    74,
    78,
    115,
    137,
    162
   ],
   [
    70,
    72,
    75,
    79,
    116,
    138,
    163
   ],
   [
    71,
    73,
    76,
    80,
    117,
    139,
    164
   ],
   [
    72,
    74,
    77,
    81,
    118,
    140,
    165
   ],
   [
    73,
    75,
    78,
    82,
    119,
    141,
    166
   ],
   [
    74,
    76,
    79,
    83,
    120,
    142,
    167
   ],
   [
    75,
    77,
    80,
    84,
    121,
    143,
    168
   ],
   [
    76,
    78,
    81,
    85,
    122,
    144,
    169
   ],
   [
    77,
    79,
    82,
    86,
    123,
    145,
    170
   ],
   [
    78,
    80,
    83,
    87,
    93,
    146,
    171
   ],
   [
    79,
    81,
    84,
    88,
    94,
    147,
    172
   ],
   [
    80,
    82,
    85,
    89,
    95,
    148,
    173
   ],
   [
    81,
    83,
    86,
    90,
    96,
    149,
    174
   ],
   [
    82,
    84,
    87,
    91,
    97,
    150,
    175
   ],
   [
    83,
    85,
    88,
    92,
    98,
    151,
    176
   ],
   [
    62,
    84,
    86,
    89,
    99,
    152,
    177
   ],
   [
    63,
    85,
    87,
    90,
    100,
    153,
    178
   ],
   [
    64,
    86,
    88,
    91,
    101,
    154,
    179
   ],
   [
    65,
    87,
    89,
    92,
    102,
    124,
    180
   ],
   [
    62,
    66,
    88,
    90,
    103,
    125,
    181
   ],
   [
    63,
    67,
    89,
    91,
    104,
    126,
    182
   ],
   [
    64,
    68,
    90,
    92,
    105,
    127,
    183
   ],
   [
    62,
    65,
    69,
    91,
    106,
    128,
    184
   ],
   [
    63,
    66,
    70,
    92,
    107,
    129,
    185
   ]
  ]
 },
 "distance": {
  "d": 15,
  "X": {
   "value": 15,
   "confidence": "upper_bound",
   "witness": [
    5,
    76,
    82,
    85,
    87,
    93,
    102,
    120,
    123,
    148,
    151,
    160,
    164,
    166,
    173
   ]
  },
  "Z": {
   "value": 15,
   "confidence": "upper_bound",
   "witness": [
    9,
    15,
    17,
    20,
    31,
    37,
    85,
    88,
    99,
    100,
    101,
    104,
    148,
    150,
    152
   ]
  }
 },
 "provenance": {
  "authors": [
   "@FarLab"
  ],
  "construction": "bivariate bicycle on Z_3 x Z_31: A = x^0y^0 + x^1y^25 + x^2y^16, B = x^0y^0 + x^0y^29 + x^0y^26 + x^0y^22",
  "origin": "submission",
  "date": "2026-10-17",
  "model": "Claude Fable 5.1",
  "search_budget": {
   "candidates_screened": 40484,
   "ris_trials_per_side": 4000000,
   "cpu_hours": 16.0,
   "tool": "research/kit/search.py + gf2_fast on Brev n2d-highcpu-64"
  }
 },
 "family": "bivariate-bicycle"
}
