{
 "schema_version": "0.3",
 "name": "[[224,24,16]]",
 "code_type": "CSS",
 "n": 224,
 "k": 24,
 "checks": {
  "X": [
   [
    0,
    11,
    12,
    47,
    112,
    148,
    151,
    196
   ],
   [
    1,
    8,
    13,
    44,
    113,
    148,
    149,
    197
   ],
   [
    2,
    9,
    14,
    45,
    114,
    149,
    150,
    198
   ],
   [
    3,
    10,
    15,
    46,
    115,
    150,
    151,
    199
   ],
   [
    4,
    15,
    16,
    51,
    116,
    152,
    155,
    200
   ],
   [
    5,
    12,
    17,
    48,
    117,
    152,
    153,
    201
   ],
   [
    6,
    13,
    18,
    49,
    118,
    153,
    154,
    202
   ],
   [
    7,
    14,
    19,
    50,
    119,
    154,
    155,
    203
   ],
   [
    8,
    19,
    20,
    55,
    120,
    156,
    159,
    204
   ],
   [
    9,
    16,
    21,
    52,
    121,
    156,
    157,
    205
   ],
   [
    10,
    17,
    22,
    53,
    122,
    157,
    158,
    206
   ],
   [
    11,
    18,
    23,
    54,
    123,
    158,
    159,
    207
   ],
   [
    12,
    23,
    24,
    59,
    124,
    160,
    163,
    208
   ],
   [
    13,
    20,
    25,
    56,
    125,
    160,
    161,
    209
   ],
   [
    14,
    21,
    26,
    57,
    126,
    161,
    162,
    210
   ],
   [
    15,
    22,
    27,
    58,
    127,
    162,
    163,
    211
   ],
   [
    16,
    27,
    28,
    63,
    128,
    164,
    167,
    212
   ],
   [
    17,
    24,
    29,
    60,
    129,
    164,
    165,
    213
   ],
   [
    18,
    25,
    30,
    61,
    130,
    165,
    166,
    214
   ],
   [
    19,
    26,
    31,
    62,
    131,
    166,
    167,
    215
   ],
   [
    20,
    31,
    32,
    67,
    132,
    168,
    171,
    216
   ],
   [
    21,
    28,
    33,
    64,
    133,
    168,
    169,
    217
   ],
   [
    22,
    29,
    34,
    65,
    134,
    169,
    170,
    218
   ],
   [
    23,
    30,
    35,
    66,
    135,
    170,
    171,
    219
   ],
   [
    24,
    35,
    36,
    71,
    136,
    172,
    175,
    220
   ],
   [
    25,
    32,
    37,
    68,
    137,
    172,
    173,
    221
   ],
   [
    26,
    33,
    38,
    69,
    138,
    173,
    174,
    222
   ],
   [
    27,
    34,
    39,
    70,
    139,
    174,
    175,
    223
   ],
   [
    28,
    39,
    40,
    75,
    112,
    140,
    176,
    179
   ],
   [
    29,
    36,
    41,
    72,
    113,
    141,
    176,
    177
   ],
   [
    30,
    37,
    42,
    73,
    114,
    142,
    177,
    178
   ],
   [
    31,
    38,
    43,
    74,
    115,
    143,
    178,
    179
   ],
   [
    32,
    43,
    44,
    79,
    116,
    144,
    180,
    183
   ],
   [
    33,
    40,
    45,
    76,
    117,
    145,
    180,
    181
   ],
   [
    34,
    41,
    46,
    77,
    118,
    146,
    181,
    182
   ],
   [
    35,
    42,
    47,
    78,
    119,
    147,
    182,
    183
   ],
   [
    36,
    47,
    48,
    83,
    120,
    148,
    184,
    187
   ],
   [
    37,
    44,
    49,
    80,
    121,
    149,
    184,
    185
   ],
   [
    38,
    45,
    50,
    81,
    122,
    150,
    185,
    186
   ],
   [
    39,
    46,
    51,
    82,
    123,
    151,
    186,
    187
   ],
   [
    40,
    51,
    52,
    87,
    124,
    152,
    188,
    191
   ],
   [
    41,
    48,
    53,
    84,
    125,
    153,
    188,
    189
   ],
   [
    42,
    49,
    54,
    85,
    126,
    154,
    189,
    190
   ],
   [
    43,
    50,
    55,
    86,
    127,
    155,
    190,
    191
   ],
   [
    44,
    55,
    56,
    91,
    128,
    156,
    192,
    195
   ],
   [
    45,
    52,
    57,
    88,
    129,
    157,
    192,
    193
   ],
   [
    46,
    53,
    58,
    89,
    130,
    158,
    193,
    194
   ],
   [
    47,
    54,
    59,
    90,
    131,
    159,
    194,
    195
   ],
   [
    48,
    59,
    60,
    95,
    132,
    160,
    196,
    199
   ],
   [
    49,
    56,
    61,
    92,
    133,
    161,
    196,
    197
   ],
   [
    50,
    57,
    62,
    93,
    134,
    162,
    197,
    198
   ],
   [
    51,
    58,
    63,
    94,
    135,
    163,
    198,
    199
   ],
   [
    52,
    63,
    64,
    99,
    136,
    164,
    200,
    203
   ],
   [
    53,
    60,
    65,
    96,
    137,
    165,
    200,
    201
   ],
   [
    54,
    61,
    66,
    97,
    138,
    166,
    201,
    202
   ],
   [
    55,
    62,
    67,
    98,
    139,
    167,
    202,
    203
   ],
   [
    56,
    67,
    68,
    103,
    140,
    168,
    204,
    207
   ],
   [
    57,
    64,
    69,
    100,
    141,
    169,
    204,
    205
   ],
   [
    58,
    65,
    70,
    101,
    142,
    170,
    205,
    206
   ],
   [
    59,
    66,
    71,
    102,
    143,
    171,
    206,
    207
   ],
   [
    60,
    71,
    72,
    107,
    144,
    172,
    208,
    211
   ],
   [
    61,
    68,
    73,
    104,
    145,
    173,
    208,
    209
   ],
   [
    62,
    69,
    74,
    105,
    146,
    174,
    209,
    210
   ],
   [
    63,
    70,
    75,
    106,
    147,
    175,
    210,
    211
   ],
   [
    64,
    75,
    76,
    111,
    148,
    176,
    212,
    215
   ],
   [
    65,
    72,
    77,
    108,
    149,
    177,
    212,
    213
   ],
   [
    66,
    73,
    78,
    109,
    150,
    178,
    213,
    214
   ],
   [
    67,
    74,
    79,
    110,
    151,
    179,
    214,
    215
   ],
   [
    3,
    68,
    79,
    80,
    152,
    180,
    216,
    219
   ],
   [
    0,
    69,
    76,
    81,
    153,
    181,
    216,
    217
   ],
   [
    1,
    70,
    77,
    82,
    154,
    182,
    217,
    218
   ],
   [
    2,
    71,
    78,
    83,
    155,
    183,
    218,
    219
   ],
   [
    7,
    72,
    83,
    84,
    156,
    184,
    220,
    223
   ],
   [
    4,
    73,
    80,
    85,
    157,
    185,
    220,
    221
   ],
   [
    5,
    74,
    81,
    86,
    158,
    186,
    221,
    222
   ],
   [
    6,
    75,
    82,
    87,
    159,
    187,
    222,
    223
   ],
   [
    11,
    76,
    87,
    88,
    112,
    115,
    160,
    188
   ],
   [
    8,
    77,
    84,
    89,
    112,
    113,
    161,
    189
   ],
   [
    9,
    78,
    85,
    90,
    113,
    114,
    162,
    190
   ],
   [
    10,
    79,
    86,
    91,
    114,
    115,
    163,
    191
   ],
   [
    15,
    80,
    91,
    92,
    116,
    119,
    164,
    192
   ],
   [
    12,
    81,
    88,
    93,
    116,
    117,
    165,
    193
   ],
   [
    13,
    82,
    89,
    94,
    117,
    118,
    166,
    194
   ],
   [
    14,
    83,
    90,
    95,
    118,
    119,
    167,
    195
   ],
   [
    19,
    84,
    95,
    96,
    120,
    123,
    168,
    196
   ],
   [
    16,
    85,
    92,
    97,
    120,
    121,
    169,
    197
   ],
   [
    17,
    86,
    93,
    98,
    121,
    122,
    170,
    198
   ],
   [
    18,
    87,
    94,
    99,
    122,
    123,
    171,
    199
   ],
   [
    23,
    88,
    99,
    100,
    124,
    127,
    172,
    200
   ],
   [
    20,
    89,
    96,
    101,
    124,
    125,
    173,
    201
   ],
   [
    21,
    90,
    97,
    102,
    125,
    126,
    174,
    202
   ],
   [
    22,
    91,
    98,
    103,
    126,
    127,
    175,
    203
   ],
   [
    27,
    92,
    103,
    104,
    128,
    131,
    176,
    204
   ],
   [
    24,
    93,
    100,
    105,
    128,
    129,
    177,
    205
   ],
   [
    25,
    94,
    101,
    106,
    129,
    130,
    178,
    206
   ],
   [
    26,
    95,
    102,
    107,
    130,
    131,
    179,
    207
   ],
   [
    31,
    96,
    107,
    108,
    132,
    135,
    180,
    208
   ],
   [
    28,
    97,
    104,
    109,
    132,
    133,
    181,
    209
   ],
   [
    29,
    98,
    105,
    110,
    133,
    134,
    182,
    210
   ],
   [
    30,
    99,
    106,
    111,
    134,
    135,
    183,
    211
   ],
   [
    0,
    35,
    100,
    111,
    136,
    139,
    184,
    212
   ],
   [
    1,
    32,
    101,
    108,
    136,
    137,
    185,
    213
   ],
   [
    2,
    33,
    102,
    109,
    137,
    138,
    186,
    214
   ],
   [
    3,
    34,
    103,
    110,
    138,
    139,
    187,
    215
   ],
   [
    3,
    4,
    39,
    104,
    140,
    143,
    188,
    216
   ],
   [
    0,
    5,
    36,
    105,
    140,
    141,
    189,
    217
   ],
   [
    1,
    6,
    37,
    106,
    141,
    142,
    190,
    218
   ],
   [
    2,
    7,
    38,
    107,
    142,
    143,
    191,
    219
   ],
   [
    7,
    8,
    43,
    108,
    144,
    147,
    192,
    220
   ],
   [
    4,
    9,
    40,
    109,
    144,
    145,
    193,
    221
   ],
   [
    5,
    10,
    41,
    110,
    145,
    146,
    194,
    222
   ],
   [
    6,
    11,
    42,
    111,
    146,
    147,
    195,
    223
   ]
  ],
  "Z": [
   [
    0,
    28,
    76,
    77,
    112,
    181,
    212,
    217
   ],
   [
    1,
    29,
    77,
    78,
    113,
    182,
    213,
    218
   ],
   [
    2,
    30,
    78,
    79,
    114,
    183,
    214,
    219
   ],
   [
    3,
    31,
    76,
    79,
    115,
    180,
    215,
    216
   ],
   [
    4,
    32,
    80,
    81,
    116,
    185,
    216,
    221
   ],
   [
    5,
    33,
    81,
    82,
    117,
    186,
    217,
    222
   ],
   [
    6,
    34,
    82,
    83,
    118,
    187,
    218,
    223
   ],
   [
    7,
    35,
    80,
    83,
    119,
    184,
    219,
    220
   ],
   [
    8,
    36,
    84,
    85,
    113,
    120,
    189,
    220
   ],
   [
    9,
    37,
    85,
    86,
    114,
    121,
    190,
    221
   ],
   [
    10,
    38,
    86,
    87,
    115,
    122,
    191,
    222
   ],
   [
    11,
    39,
    84,
    87,
    112,
    123,
    188,
    223
   ],
   [
    12,
    40,
    88,
    89,
    112,
    117,
    124,
    193
   ],
   [
    13,
    41,
    89,
    90,
    113,
    118,
    125,
    194
   ],
   [
    14,
    42,
    90,
    91,
    114,
    119,
    126,
    195
   ],
   [
    15,
    43,
    88,
    91,
    115,
    116,
    127,
    192
   ],
   [
    16,
    44,
    92,
    93,
    116,
    121,
    128,
    197
   ],
   [
    17,
    45,
    93,
    94,
    117,
    122,
    129,
    198
   ],
   [
    18,
    46,
    94,
    95,
    118,
    123,
    130,
    199
   ],
   [
    19,
    47,
    92,
    95,
    119,
    120,
    131,
    196
   ],
   [
    20,
    48,
    96,
    97,
    120,
    125,
    132,
    201
   ],
   [
    21,
    49,
    97,
    98,
    121,
    126,
    133,
    202
   ],
   [
    22,
    50,
    98,
    99,
    122,
    127,
    134,
    203
   ],
   [
    23,
    51,
    96,
    99,
    123,
    124,
    135,
    200
   ],
   [
    24,
    52,
    100,
    101,
    124,
    129,
    136,
    205
   ],
   [
    25,
    53,
    101,
    102,
    125,
    130,
    137,
    206
   ],
   [
    26,
    54,
    102,
    103,
    126,
    131,
    138,
    207
   ],
   [
    27,
    55,
    100,
    103,
    127,
    128,
    139,
    204
   ],
   [
    28,
    56,
    104,
    105,
    128,
    133,
    140,
    209
   ],
   [
    29,
    57,
    105,
    106,
    129,
    134,
    141,
    210
   ],
   [
    30,
    58,
    106,
    107,
    130,
    135,
    142,
    211
   ],
   [
    31,
    59,
    104,
    107,
    131,
    132,
    143,
    208
   ],
   [
    32,
    60,
    108,
    109,
    132,
    137,
    144,
    213
   ],
   [
    33,
    61,
    109,
    110,
    133,
    138,
    145,
    214
   ],
   [
    34,
    62,
    110,
    111,
    134,
    139,
    146,
    215
   ],
   [
    35,
    63,
    108,
    111,
    135,
    136,
    147,
    212
   ],
   [
    0,
    1,
    36,
    64,
    136,
    141,
    148,
    217
   ],
   [
    1,
    2,
    37,
    65,
    137,
    142,
    149,
    218
   ],
   [
    2,
    3,
    38,
    66,
    138,
    143,
    150,
    219
   ],
   [
    0,
    3,
    39,
    67,
    139,
    140,
    151,
    216
   ],
   [
    4,
    5,
    40,
    68,
    140,
    145,
    152,
    221
   ],
   [
    5,
    6,
    41,
    69,
    141,
    146,
    153,
    222
   ],
   [
    6,
    7,
    42,
    70,
    142,
    147,
    154,
    223
   ],
   [
    4,
    7,
    43,
    71,
    143,
    144,
    155,
    220
   ],
   [
    8,
    9,
    44,
    72,
    113,
    144,
    149,
    156
   ],
   [
    9,
    10,
    45,
    73,
    114,
    145,
    150,
    157
   ],
   [
    10,
    11,
    46,
    74,
    115,
    146,
    151,
    158
   ],
   [
    8,
    11,
    47,
    75,
    112,
    147,
    148,
    159
   ],
   [
    12,
    13,
    48,
    76,
    117,
    148,
    153,
    160
   ],
   [
    13,
    14,
    49,
    77,
    118,
    149,
    154,
    161
   ],
   [
    14,
    15,
    50,
    78,
    119,
    150,
    155,
    162
   ],
   [
    12,
    15,
    51,
    79,
    116,
    151,
    152,
    163
   ],
   [
    16,
    17,
    52,
    80,
    121,
    152,
    157,
    164
   ],
   [
    17,
    18,
    53,
    81,
    122,
    153,
    158,
    165
   ],
   [
    18,
    19,
    54,
    82,
    123,
    154,
    159,
    166
   ],
   [
    16,
    19,
    55,
    83,
    120,
    155,
    156,
    167
   ],
   [
    20,
    21,
    56,
    84,
    125,
    156,
    161,
    168
   ],
   [
    21,
    22,
    57,
    85,
    126,
    157,
    162,
    169
   ],
   [
    22,
    23,
    58,
    86,
    127,
    158,
    163,
    170
   ],
   [
    20,
    23,
    59,
    87,
    124,
    159,
    160,
    171
   ],
   [
    24,
    25,
    60,
    88,
    129,
    160,
    165,
    172
   ],
   [
    25,
    26,
    61,
    89,
    130,
    161,
    166,
    173
   ],
   [
    26,
    27,
    62,
    90,
    131,
    162,
    167,
    174
   ],
   [
    24,
    27,
    63,
    91,
    128,
    163,
    164,
    175
   ],
   [
    28,
    29,
    64,
    92,
    133,
    164,
    169,
    176
   ],
   [
    29,
    30,
    65,
    93,
    134,
    165,
    170,
    177
   ],
   [
    30,
    31,
    66,
    94,
    135,
    166,
    171,
    178
   ],
   [
    28,
    31,
    67,
    95,
    132,
    167,
    168,
    179
   ],
   [
    32,
    33,
    68,
    96,
    137,
    168,
    173,
    180
   ],
   [
    33,
    34,
    69,
    97,
    138,
    169,
    174,
    181
   ],
   [
    34,
    35,
    70,
    98,
    139,
    170,
    175,
    182
   ],
   [
    32,
    35,
    71,
    99,
    136,
    171,
    172,
    183
   ],
   [
    36,
    37,
    72,
    100,
    141,
    172,
    177,
    184
   ],
   [
    37,
    38,
    73,
    101,
    142,
    173,
    178,
    185
   ],
   [
    38,
    39,
    74,
    102,
    143,
    174,
    179,
    186
   ],
   [
    36,
    39,
    75,
    103,
    140,
    175,
    176,
    187
   ],
   [
    40,
    41,
    76,
    104,
    145,
    176,
    181,
    188
   ],
   [
    41,
    42,
    77,
    105,
    146,
    177,
    182,
    189
   ],
   [
    42,
    43,
    78,
    106,
    147,
    178,
    183,
    190
   ],
   [
    40,
    43,
    79,
    107,
    144,
    179,
    180,
    191
   ],
   [
    44,
    45,
    80,
    108,
    149,
    180,
    185,
    192
   ],
   [
    45,
    46,
    81,
    109,
    150,
    181,
    186,
    193
   ],
   [
    46,
    47,
    82,
    110,
    151,
    182,
    187,
    194
   ],
   [
    44,
    47,
    83,
    111,
    148,
    183,
    184,
    195
   ],
   [
    0,
    48,
    49,
    84,
    153,
    184,
    189,
    196
   ],
   [
    1,
    49,
    50,
    85,
    154,
    185,
    190,
    197
   ],
   [
    2,
    50,
    51,
    86,
    155,
    186,
    191,
    198
   ],
   [
    3,
    48,
    51,
    87,
    152,
    187,
    188,
    199
   ],
   [
    4,
    52,
    53,
    88,
    157,
    188,
    193,
    200
   ],
   [
    5,
    53,
    54,
    89,
    158,
    189,
    194,
    201
   ],
   [
    6,
    54,
    55,
    90,
    159,
    190,
    195,
    202
   ],
   [
    7,
    52,
    55,
    91,
    156,
    191,
    192,
    203
   ],
   [
    8,
    56,
    57,
    92,
    161,
    192,
    197,
    204
   ],
   [
    9,
    57,
    58,
    93,
    162,
    193,
    198,
    205
   ],
   [
    10,
    58,
    59,
    94,
    163,
    194,
    199,
    206
   ],
   [
    11,
    56,
    59,
    95,
    160,
    195,
    196,
    207
   ],
   [
    12,
    60,
    61,
    96,
    165,
    196,
    201,
    208
   ],
   [
    13,
    61,
    62,
    97,
    166,
    197,
    202,
    209
   ],
   [
    14,
    62,
    63,
    98,
    167,
    198,
    203,
    210
   ],
   [
    15,
    60,
    63,
    99,
    164,
    199,
    200,
    211
   ],
   [
    16,
    64,
    65,
    100,
    169,
    200,
    205,
    212
   ],
   [
    17,
    65,
    66,
    101,
    170,
    201,
    206,
    213
   ],
   [
    18,
    66,
    67,
    102,
    171,
    202,
    207,
    214
   ],
   [
    19,
    64,
    67,
    103,
    168,
    203,
    204,
    215
   ],
   [
    20,
    68,
    69,
    104,
    173,
    204,
    209,
    216
   ],
   [
    21,
    69,
    70,
    105,
    174,
    205,
    210,
    217
   ],
   [
    22,
    70,
    71,
    106,
    175,
    206,
    211,
    218
   ],
   [
    23,
    68,
    71,
    107,
    172,
    207,
    208,
    219
   ],
   [
    24,
    72,
    73,
    108,
    177,
    208,
    213,
    220
   ],
   [
    25,
    73,
    74,
    109,
    178,
    209,
    214,
    221
   ],
   [
    26,
    74,
    75,
    110,
    179,
    210,
    215,
    222
   ],
   [
    27,
    72,
    75,
    111,
    176,
    211,
    212,
    223
   ]
  ]
 },
 "distance": {
  "d": 16,
  "X": {
   "value": 16,
   "confidence": "upper_bound",
   "witness": [
    0,
    8,
    39,
    41,
    42,
    55,
    64,
    69,
    84,
    90,
    147,
    156,
    174,
    176,
    204,
    212
   ]
  },
  "Z": {
   "value": 16,
   "confidence": "upper_bound",
   "witness": [
    6,
    18,
    34,
    38,
    66,
    102,
    122,
    130,
    138,
    142,
    146,
    158,
    170,
    174,
    178,
    222
   ]
  }
 },
 "provenance": {
  "authors": [
   "@FarLab"
  ],
  "construction": "bivariate bicycle on Z_28 x Z_4: A = 1 + x^2y^3 + x^3 + x^11y^3, B = 1 + x^9 + x^9y^3 + x^21; H_X = [A | B], H_Z = [B^T | A^T]",
  "origin": "submission",
  "date": "2026-10-17",
  "model": "Claude Fable 5.1",
  "search_budget": {
   "candidates_screened": 300000,
   "ris_trials_per_side": 10000000,
   "cpu_hours": 3.0,
   "tool": "research/kit/search.py + gf2_fast on Brev n2d-highcpu-64"
  }
 },
 "family": "bivariate-bicycle"
}
