{
 "schema_version": "0.2",
 "name": "[[312,208,2]] two-block code over C156",
 "code_type": "CSS",
 "n": 312,
 "k": 208,
 "checks": {
  "X": [
   [
    0,
    2,
    8,
    88,
    98,
    108,
    156,
    158,
    164
   ],
   [
    1,
    5,
    13,
    95,
    105,
    115,
    157,
    161,
    169
   ],
   [
    0,
    2,
    8,
    88,
    98,
    108,
    156,
    158,
    164
   ],
   [
    3,
    9,
    18,
    100,
    110,
    120,
    159,
    165,
    174
   ],
   [
    4,
    10,
    19,
    101,
    111,
    121,
    160,
    166,
    175
   ],
   [
    1,
    5,
    13,
    95,
    105,
    115,
    157,
    161,
    169
   ],
   [
    6,
    14,
    24,
    107,
    117,
    127,
    162,
    170,
    180
   ],
   [
    7,
    15,
    25,
    82,
    92,
    102,
    163,
    171,
    181
   ],
   [
    0,
    2,
    8,
    88,
    98,
    108,
    156,
    158,
    164
   ],
   [
    3,
    9,
    18,
    100,
    110,
    120,
    159,
    165,
    174
   ],
   [
    4,
    10,
    19,
    101,
    111,
    121,
    160,
    166,
    175
   ],
   [
    11,
    20,
    30,
    112,
    122,
    132,
    167,
    176,
    186
   ],
   [
    12,
    21,
    31,
    113,
    123,
    133,
    168,
    177,
    187
   ],
   [
    1,
    5,
    13,
    95,
    105,
    115,
    157,
    161,
    169
   ],
   [
    6,
    14,
    24,
    107,
    117,
    127,
    162,
    170,
    180
   ],
   [
    7,
    15,
    25,
    82,
    92,
    102,
    163,
    171,
    181
   ],
   [
    16,
    26,
    36,
    119,
    129,
    139,
    172,
    182,
    192
   ],
   [
    17,
    27,
    37,
    94,
    104,
    114,
    173,
    183,
    193
   ],
   [
    3,
    9,
    18,
    100,
    110,
    120,
    159,
    165,
    174
   ],
   [
    4,
    10,
    19,
    101,
    111,
    121,
    160,
    166,
    175
   ],
   [
    11,
    20,
    30,
    112,
    122,
    132,
    167,
    176,
    186
   ],
   [
    12,
    21,
    31,
    113,
    123,
    133,
    168,
    177,
    187
   ],
   [
    22,
    32,
    42,
    124,
    134,
    143,
    178,
    188,
    198
   ],
   [
    23,
    33,
    43,
    125,
    135,
    144,
    179,
    189,
    199
   ],
   [
    6,
    14,
    24,
    107,
    117,
    127,
    162,
    170,
    180
   ],
   [
    7,
    15,
    25,
    82,
    92,
    102,
    163,
    171,
    181
   ],
   [
    16,
    26,
    36,
    119,
    129,
    139,
    172,
    182,
    192
   ],
   [
    17,
    27,
    37,
    94,
    104,
    114,
    173,
    183,
    193
   ],
   [
    28,
    38,
    48,
    131,
    141,
    149,
    184,
    194,
    204
   ],
   [
    29,
    39,
    49,
    106,
    116,
    126,
    185,
    195,
    205
   ],
   [
    11,
    20,
    30,
    112,
    122,
    132,
    167,
    176,
    186
   ],
   [
    12,
    21,
    31,
    113,
    123,
    133,
    168,
    177,
    187
   ],
   [
    22,
    32,
    42,
    124,
    134,
    143,
    178,
    188,
    198
   ],
   [
    23,
    33,
    43,
    125,
    135,
    144,
    179,
    189,
    199
   ],
   [
    34,
    44,
    54,
    136,
    145,
    151,
    190,
    200,
    210
   ],
   [
    35,
    45,
    55,
    137,
    146,
    152,
    191,
    201,
    211
   ],
   [
    16,
    26,
    36,
    119,
    129,
    139,
    172,
    182,
    192
   ],
   [
    17,
    27,
    37,
    94,
    104,
    114,
    173,
    183,
    193
   ],
   [
    28,
    38,
    48,
    131,
    141,
    149,
    184,
    194,
    204
   ],
   [
    29,
    39,
    49,
    106,
    116,
    126,
    185,
    195,
    205
   ],
   [
    40,
    50,
    60,
    142,
    150,
    154,
    196,
    206,
    216
   ],
   [
    41,
    51,
    61,
    118,
    128,
    138,
    197,
    207,
    217
   ],
   [
    22,
    32,
    42,
    124,
    134,
    143,
    178,
    188,
    198
   ],
   [
    23,
    33,
    43,
    125,
    135,
    144,
    179,
    189,
    199
   ],
   [
    34,
    44,
    54,
    136,
    145,
    151,
    190,
    200,
    210
   ],
   [
    35,
    45,
    55,
    137,
    146,
    152,
    191,
    201,
    211
   ],
   [
    1,
    5,
    13,
    46,
    56,
    66,
    202,
    212,
    222
   ],
   [
    47,
    57,
    67,
    147,
    153,
    155,
    203,
    213,
    223
   ],
   [
    28,
    38,
    48,
    131,
    141,
    149,
    184,
    194,
    204
   ],
   [
    29,
    39,
    49,
    106,
    116,
    126,
    185,
    195,
    205
   ],
   [
    40,
    50,
    60,
    142,
    150,
    154,
    196,
    206,
    216
   ],
   [
    41,
    51,
    61,
    118,
    128,
    138,
    197,
    207,
    217
   ],
   [
    4,
    10,
    19,
    52,
    62,
    72,
    208,
    218,
    228
   ],
   [
    53,
    63,
    73,
    130,
    140,
    148,
    209,
    219,
    229
   ],
   [
    34,
    44,
    54,
    136,
    145,
    151,
    190,
    200,
    210
   ],
   [
    35,
    45,
    55,
    137,
    146,
    152,
    191,
    201,
    211
   ],
   [
    1,
    5,
    13,
    46,
    56,
    66,
    202,
    212,
    222
   ],
   [
    47,
    57,
    67,
    147,
    153,
    155,
    203,
    213,
    223
   ],
   [
    6,
    14,
    24,
    58,
    68,
    78,
    214,
    224,
    234
   ],
   [
    7,
    15,
    25,
    59,
    69,
    79,
    215,
    225,
    235
   ],
   [
    40,
    50,
    60,
    142,
    150,
    154,
    196,
    206,
    216
   ],
   [
    41,
    51,
    61,
    118,
    128,
    138,
    197,
    207,
    217
   ],
   [
    4,
    10,
    19,
    52,
    62,
    72,
    208,
    218,
    228
   ],
   [
    53,
    63,
    73,
    130,
    140,
    148,
    209,
    219,
    229
   ],
   [
    12,
    21,
    31,
    64,
    74,
    84,
    220,
    230,
    240
   ],
   [
    0,
    2,
    8,
    65,
    75,
    85,
    221,
    231,
    241
   ],
   [
    1,
    5,
    13,
    46,
    56,
    66,
    202,
    212,
    222
   ],
   [
    47,
    57,
    67,
    147,
    153,
    155,
    203,
    213,
    223
   ],
   [
    6,
    14,
    24,
    58,
    68,
    78,
    214,
    224,
    234
   ],
   [
    7,
    15,
    25,
    59,
    69,
    79,
    215,
    225,
    235
   ],
   [
    16,
    26,
    36,
    70,
    80,
    90,
    226,
    236,
    246
   ],
   [
    17,
    27,
    37,
    71,
    81,
    91,
    227,
    237,
    247
   ],
   [
    4,
    10,
    19,
    52,
    62,
    72,
    208,
    218,
    228
   ],
   [
    53,
    63,
    73,
    130,
    140,
    148,
    209,
    219,
    229
   ],
   [
    12,
    21,
    31,
    64,
    74,
    84,
    220,
    230,
    240
   ],
   [
    0,
    2,
    8,
    65,
    75,
    85,
    221,
    231,
    241
   ],
   [
    23,
    33,
    43,
    76,
    86,
    96,
    232,
    242,
    252
   ],
   [
    3,
    9,
    18,
    77,
    87,
    97,
    233,
    243,
    253
   ],
   [
    6,
    14,
    24,
    58,
    68,
    78,
    214,
    224,
    234
   ],
   [
    7,
    15,
    25,
    59,
    69,
    79,
    215,
    225,
    235
   ],
   [
    16,
    26,
    36,
    70,
    80,
    90,
    226,
    236,
    246
   ],
   [
    17,
    27,
    37,
    71,
    81,
    91,
    227,
    237,
    247
   ],
   [
    28,
    38,
    48,
    82,
    92,
    102,
    238,
    248,
    258
   ],
   [
    29,
    39,
    49,
    83,
    93,
    103,
    239,
    249,
    259
   ],
   [
    12,
    21,
    31,
    64,
    74,
    84,
    220,
    230,
    240
   ],
   [
    0,
    2,
    8,
    65,
    75,
    85,
    221,
    231,
    241
   ],
   [
    23,
    33,
    43,
    76,
    86,
    96,
    232,
    242,
    252
   ],
   [
    3,
    9,
    18,
    77,
    87,
    97,
    233,
    243,
    253
   ],
   [
    35,
    45,
    55,
    88,
    98,
    108,
    244,
    254,
    264
   ],
   [
    11,
    20,
    30,
    89,
    99,
    109,
    245,
    255,
    265
   ],
   [
    16,
    26,
    36,
    70,
    80,
    90,
    226,
    236,
    246
   ],
   [
    17,
    27,
    37,
    71,
    81,
    91,
    227,
    237,
    247
   ],
   [
    28,
    38,
    48,
    82,
    92,
    102,
    238,
    248,
    258
   ],
   [
    29,
    39,
    49,
    83,
    93,
    103,
    239,
    249,
    259
   ],
   [
    40,
    50,
    60,
    94,
    104,
    114,
    250,
    260,
    270
   ],
   [
    41,
    51,
    61,
    95,
    105,
    115,
    251,
    261,
    271
   ],
   [
    23,
    33,
    43,
    76,
    86,
    96,
    232,
    242,
    252
   ],
   [
    3,
    9,
    18,
    77,
    87,
    97,
    233,
    243,
    253
   ],
   [
    35,
    45,
    55,
    88,
    98,
    108,
    244,
    254,
    264
   ],
   [
    11,
    20,
    30,
    89,
    99,
    109,
    245,
    255,
    265
   ],
   [
    47,
    57,
    67,
    100,
    110,
    120,
    256,
    266,
    276
   ],
   [
    22,
    32,
    42,
    101,
    111,
    121,
    257,
    267,
    277
   ],
   [
    28,
    38,
    48,
    82,
    92,
    102,
    238,
    248,
    258
   ],
   [
    29,
    39,
    49,
    83,
    93,
    103,
    239,
    249,
    259
   ],
   [
    40,
    50,
    60,
    94,
    104,
    114,
    250,
    260,
    270
   ],
   [
    41,
    51,
    61,
    95,
    105,
    115,
    251,
    261,
    271
   ],
   [
    52,
    62,
    72,
    106,
    116,
    126,
    262,
    272,
    282
   ],
   [
    53,
    63,
    73,
    107,
    117,
    127,
    263,
    273,
    283
   ],
   [
    35,
    45,
    55,
    88,
    98,
    108,
    244,
    254,
    264
   ],
   [
    11,
    20,
    30,
    89,
    99,
    109,
    245,
    255,
    265
   ],
   [
    47,
    57,
    67,
    100,
    110,
    120,
    256,
    266,
    276
   ],
   [
    22,
    32,
    42,
    101,
    111,
    121,
    257,
    267,
    277
   ],
   [
    59,
    69,
    79,
    112,
    122,
    132,
    268,
    278,
    288
   ],
   [
    34,
    44,
    54,
    113,
    123,
    133,
    269,
    279,
    289
   ],
   [
    40,
    50,
    60,
    94,
    104,
    114,
    250,
    260,
    270
   ],
   [
    41,
    51,
    61,
    95,
    105,
    115,
    251,
    261,
    271
   ],
   [
    52,
    62,
    72,
    106,
    116,
    126,
    262,
    272,
    282
   ],
   [
    53,
    63,
    73,
    107,
    117,
    127,
    263,
    273,
    283
   ],
   [
    64,
    74,
    84,
    118,
    128,
    138,
    274,
    284,
    294
   ],
   [
    65,
    75,
    85,
    119,
    129,
    139,
    275,
    285,
    295
   ],
   [
    47,
    57,
    67,
    100,
    110,
    120,
    256,
    266,
    276
   ],
   [
    22,
    32,
    42,
    101,
    111,
    121,
    257,
    267,
    277
   ],
   [
    59,
    69,
    79,
    112,
    122,
    132,
    268,
    278,
    288
   ],
   [
    34,
    44,
    54,
    113,
    123,
    133,
    269,
    279,
    289
   ],
   [
    71,
    81,
    91,
    124,
    134,
    143,
    280,
    290,
    299
   ],
   [
    46,
    56,
    66,
    125,
    135,
    144,
    281,
    291,
    300
   ],
   [
    52,
    62,
    72,
    106,
    116,
    126,
    262,
    272,
    282
   ],
   [
    53,
    63,
    73,
    107,
    117,
    127,
    263,
    273,
    283
   ],
   [
    64,
    74,
    84,
    118,
    128,
    138,
    274,
    284,
    294
   ],
   [
    65,
    75,
    85,
    119,
    129,
    139,
    275,
    285,
    295
   ],
   [
    76,
    86,
    96,
    130,
    140,
    148,
    286,
    296,
    304
   ],
   [
    77,
    87,
    97,
    131,
    141,
    149,
    287,
    297,
    305
   ],
   [
    59,
    69,
    79,
    112,
    122,
    132,
    268,
    278,
    288
   ],
   [
    34,
    44,
    54,
    113,
    123,
    133,
    269,
    279,
    289
   ],
   [
    71,
    81,
    91,
    124,
    134,
    143,
    280,
    290,
    299
   ],
   [
    46,
    56,
    66,
    125,
    135,
    144,
    281,
    291,
    300
   ],
   [
    83,
    93,
    103,
    136,
    145,
    151,
    292,
    301,
    307
   ],
   [
    58,
    68,
    78,
    137,
    146,
    152,
    293,
    302,
    308
   ],
   [
    64,
    74,
    84,
    118,
    128,
    138,
    274,
    284,
    294
   ],
   [
    65,
    75,
    85,
    119,
    129,
    139,
    275,
    285,
    295
   ],
   [
    76,
    86,
    96,
    130,
    140,
    148,
    286,
    296,
    304
   ],
   [
    77,
    87,
    97,
    131,
    141,
    149,
    287,
    297,
    305
   ],
   [
    89,
    99,
    109,
    142,
    150,
    154,
    298,
    306,
    310
   ],
   [
    71,
    81,
    91,
    124,
    134,
    143,
    280,
    290,
    299
   ],
   [
    46,
    56,
    66,
    125,
    135,
    144,
    281,
    291,
    300
   ],
   [
    83,
    93,
    103,
    136,
    145,
    151,
    292,
    301,
    307
   ],
   [
    58,
    68,
    78,
    137,
    146,
    152,
    293,
    302,
    308
   ],
   [
    70,
    80,
    90,
    147,
    153,
    155,
    303,
    309,
    311
   ],
   [
    76,
    86,
    96,
    130,
    140,
    148,
    286,
    296,
    304
   ],
   [
    77,
    87,
    97,
    131,
    141,
    149,
    287,
    297,
    305
   ],
   [
    89,
    99,
    109,
    142,
    150,
    154,
    298,
    306,
    310
   ],
   [
    83,
    93,
    103,
    136,
    145,
    151,
    292,
    301,
    307
   ],
   [
    58,
    68,
    78,
    137,
    146,
    152,
    293,
    302,
    308
   ],
   [
    70,
    80,
    90,
    147,
    153,
    155,
    303,
    309,
    311
   ],
   [
    89,
    99,
    109,
    142,
    150,
    154,
    298,
    306,
    310
   ],
   [
    70,
    80,
    90,
    147,
    153,
    155,
    303,
    309,
    311
   ]
  ],
  "Z": [
   [
    0,
    2,
    8,
    156,
    158,
    164,
    221,
    231,
    241
   ],
   [
    1,
    5,
    13,
    157,
    161,
    169,
    202,
    212,
    222
   ],
   [
    0,
    2,
    8,
    156,
    158,
    164,
    221,
    231,
    241
   ],
   [
    3,
    9,
    18,
    159,
    165,
    174,
    233,
    243,
    253
   ],
   [
    4,
    10,
    19,
    160,
    166,
    175,
    208,
    218,
    228
   ],
   [
    1,
    5,
    13,
    157,
    161,
    169,
    202,
    212,
    222
   ],
   [
    6,
    14,
    24,
    162,
    170,
    180,
    214,
    224,
    234
   ],
   [
    7,
    15,
    25,
    163,
    171,
    181,
    215,
    225,
    235
   ],
   [
    0,
    2,
    8,
    156,
    158,
    164,
    221,
    231,
    241
   ],
   [
    3,
    9,
    18,
    159,
    165,
    174,
    233,
    243,
    253
   ],
   [
    4,
    10,
    19,
    160,
    166,
    175,
    208,
    218,
    228
   ],
   [
    11,
    20,
    30,
    167,
    176,
    186,
    245,
    255,
    265
   ],
   [
    12,
    21,
    31,
    168,
    177,
    187,
    220,
    230,
    240
   ],
   [
    1,
    5,
    13,
    157,
    161,
    169,
    202,
    212,
    222
   ],
   [
    6,
    14,
    24,
    162,
    170,
    180,
    214,
    224,
    234
   ],
   [
    7,
    15,
    25,
    163,
    171,
    181,
    215,
    225,
    235
   ],
   [
    16,
    26,
    36,
    172,
    182,
    192,
    226,
    236,
    246
   ],
   [
    17,
    27,
    37,
    173,
    183,
    193,
    227,
    237,
    247
   ],
   [
    3,
    9,
    18,
    159,
    165,
    174,
    233,
    243,
    253
   ],
   [
    4,
    10,
    19,
    160,
    166,
    175,
    208,
    218,
    228
   ],
   [
    11,
    20,
    30,
    167,
    176,
    186,
    245,
    255,
    265
   ],
   [
    12,
    21,
    31,
    168,
    177,
    187,
    220,
    230,
    240
   ],
   [
    22,
    32,
    42,
    178,
    188,
    198,
    257,
    267,
    277
   ],
   [
    23,
    33,
    43,
    179,
    189,
    199,
    232,
    242,
    252
   ],
   [
    6,
    14,
    24,
    162,
    170,
    180,
    214,
    224,
    234
   ],
   [
    7,
    15,
    25,
    163,
    171,
    181,
    215,
    225,
    235
   ],
   [
    16,
    26,
    36,
    172,
    182,
    192,
    226,
    236,
    246
   ],
   [
    17,
    27,
    37,
    173,
    183,
    193,
    227,
    237,
    247
   ],
   [
    28,
    38,
    48,
    184,
    194,
    204,
    238,
    248,
    258
   ],
   [
    29,
    39,
    49,
    185,
    195,
    205,
    239,
    249,
    259
   ],
   [
    11,
    20,
    30,
    167,
    176,
    186,
    245,
    255,
    265
   ],
   [
    12,
    21,
    31,
    168,
    177,
    187,
    220,
    230,
    240
   ],
   [
    22,
    32,
    42,
    178,
    188,
    198,
    257,
    267,
    277
   ],
   [
    23,
    33,
    43,
    179,
    189,
    199,
    232,
    242,
    252
   ],
   [
    34,
    44,
    54,
    190,
    200,
    210,
    269,
    279,
    289
   ],
   [
    35,
    45,
    55,
    191,
    201,
    211,
    244,
    254,
    264
   ],
   [
    16,
    26,
    36,
    172,
    182,
    192,
    226,
    236,
    246
   ],
   [
    17,
    27,
    37,
    173,
    183,
    193,
    227,
    237,
    247
   ],
   [
    28,
    38,
    48,
    184,
    194,
    204,
    238,
    248,
    258
   ],
   [
    29,
    39,
    49,
    185,
    195,
    205,
    239,
    249,
    259
   ],
   [
    40,
    50,
    60,
    196,
    206,
    216,
    250,
    260,
    270
   ],
   [
    41,
    51,
    61,
    197,
    207,
    217,
    251,
    261,
    271
   ],
   [
    22,
    32,
    42,
    178,
    188,
    198,
    257,
    267,
    277
   ],
   [
    23,
    33,
    43,
    179,
    189,
    199,
    232,
    242,
    252
   ],
   [
    34,
    44,
    54,
    190,
    200,
    210,
    269,
    279,
    289
   ],
   [
    35,
    45,
    55,
    191,
    201,
    211,
    244,
    254,
    264
   ],
   [
    46,
    56,
    66,
    202,
    212,
    222,
    281,
    291,
    300
   ],
   [
    47,
    57,
    67,
    203,
    213,
    223,
    256,
    266,
    276
   ],
   [
    28,
    38,
    48,
    184,
    194,
    204,
    238,
    248,
    258
   ],
   [
    29,
    39,
    49,
    185,
    195,
    205,
    239,
    249,
    259
   ],
   [
    40,
    50,
    60,
    196,
    206,
    216,
    250,
    260,
    270
   ],
   [
    41,
    51,
    61,
    197,
    207,
    217,
    251,
    261,
    271
   ],
   [
    52,
    62,
    72,
    208,
    218,
    228,
    262,
    272,
    282
   ],
   [
    53,
    63,
    73,
    209,
    219,
    229,
    263,
    273,
    283
   ],
   [
    34,
    44,
    54,
    190,
    200,
    210,
    269,
    279,
    289
   ],
   [
    35,
    45,
    55,
    191,
    201,
    211,
    244,
    254,
    264
   ],
   [
    46,
    56,
    66,
    202,
    212,
    222,
    281,
    291,
    300
   ],
   [
    47,
    57,
    67,
    203,
    213,
    223,
    256,
    266,
    276
   ],
   [
    58,
    68,
    78,
    214,
    224,
    234,
    293,
    302,
    308
   ],
   [
    59,
    69,
    79,
    215,
    225,
    235,
    268,
    278,
    288
   ],
   [
    40,
    50,
    60,
    196,
    206,
    216,
    250,
    260,
    270
   ],
   [
    41,
    51,
    61,
    197,
    207,
    217,
    251,
    261,
    271
   ],
   [
    52,
    62,
    72,
    208,
    218,
    228,
    262,
    272,
    282
   ],
   [
    53,
    63,
    73,
    209,
    219,
    229,
    263,
    273,
    283
   ],
   [
    64,
    74,
    84,
    220,
    230,
    240,
    274,
    284,
    294
   ],
   [
    65,
    75,
    85,
    221,
    231,
    241,
    275,
    285,
    295
   ],
   [
    46,
    56,
    66,
    202,
    212,
    222,
    281,
    291,
    300
   ],
   [
    47,
    57,
    67,
    203,
    213,
    223,
    256,
    266,
    276
   ],
   [
    58,
    68,
    78,
    214,
    224,
    234,
    293,
    302,
    308
   ],
   [
    59,
    69,
    79,
    215,
    225,
    235,
    268,
    278,
    288
   ],
   [
    70,
    80,
    90,
    226,
    236,
    246,
    303,
    309,
    311
   ],
   [
    71,
    81,
    91,
    227,
    237,
    247,
    280,
    290,
    299
   ],
   [
    52,
    62,
    72,
    208,
    218,
    228,
    262,
    272,
    282
   ],
   [
    53,
    63,
    73,
    209,
    219,
    229,
    263,
    273,
    283
   ],
   [
    64,
    74,
    84,
    220,
    230,
    240,
    274,
    284,
    294
   ],
   [
    65,
    75,
    85,
    221,
    231,
    241,
    275,
    285,
    295
   ],
   [
    76,
    86,
    96,
    232,
    242,
    252,
    286,
    296,
    304
   ],
   [
    77,
    87,
    97,
    233,
    243,
    253,
    287,
    297,
    305
   ],
   [
    58,
    68,
    78,
    214,
    224,
    234,
    293,
    302,
    308
   ],
   [
    59,
    69,
    79,
    215,
    225,
    235,
    268,
    278,
    288
   ],
   [
    70,
    80,
    90,
    226,
    236,
    246,
    303,
    309,
    311
   ],
   [
    71,
    81,
    91,
    227,
    237,
    247,
    280,
    290,
    299
   ],
   [
    82,
    92,
    102,
    163,
    171,
    181,
    238,
    248,
    258
   ],
   [
    83,
    93,
    103,
    239,
    249,
    259,
    292,
    301,
    307
   ],
   [
    64,
    74,
    84,
    220,
    230,
    240,
    274,
    284,
    294
   ],
   [
    65,
    75,
    85,
    221,
    231,
    241,
    275,
    285,
    295
   ],
   [
    76,
    86,
    96,
    232,
    242,
    252,
    286,
    296,
    304
   ],
   [
    77,
    87,
    97,
    233,
    243,
    253,
    287,
    297,
    305
   ],
   [
    88,
    98,
    108,
    156,
    158,
    164,
    244,
    254,
    264
   ],
   [
    89,
    99,
    109,
    245,
    255,
    265,
    298,
    306,
    310
   ],
   [
    70,
    80,
    90,
    226,
    236,
    246,
    303,
    309,
    311
   ],
   [
    71,
    81,
    91,
    227,
    237,
    247,
    280,
    290,
    299
   ],
   [
    82,
    92,
    102,
    163,
    171,
    181,
    238,
    248,
    258
   ],
   [
    83,
    93,
    103,
    239,
    249,
    259,
    292,
    301,
    307
   ],
   [
    94,
    104,
    114,
    173,
    183,
    193,
    250,
    260,
    270
   ],
   [
    95,
    105,
    115,
    157,
    161,
    169,
    251,
    261,
    271
   ],
   [
    76,
    86,
    96,
    232,
    242,
    252,
    286,
    296,
    304
   ],
   [
    77,
    87,
    97,
    233,
    243,
    253,
    287,
    297,
    305
   ],
   [
    88,
    98,
    108,
    156,
    158,
    164,
    244,
    254,
    264
   ],
   [
    89,
    99,
    109,
    245,
    255,
    265,
    298,
    306,
    310
   ],
   [
    100,
    110,
    120,
    159,
    165,
    174,
    256,
    266,
    276
   ],
   [
    101,
    111,
    121,
    160,
    166,
    175,
    257,
    267,
    277
   ],
   [
    82,
    92,
    102,
    163,
    171,
    181,
    238,
    248,
    258
   ],
   [
    83,
    93,
    103,
    239,
    249,
    259,
    292,
    301,
    307
   ],
   [
    94,
    104,
    114,
    173,
    183,
    193,
    250,
    260,
    270
   ],
   [
    95,
    105,
    115,
    157,
    161,
    169,
    251,
    261,
    271
   ],
   [
    106,
    116,
    126,
    185,
    195,
    205,
    262,
    272,
    282
   ],
   [
    107,
    117,
    127,
    162,
    170,
    180,
    263,
    273,
    283
   ],
   [
    88,
    98,
    108,
    156,
    158,
    164,
    244,
    254,
    264
   ],
   [
    89,
    99,
    109,
    245,
    255,
    265,
    298,
    306,
    310
   ],
   [
    100,
    110,
    120,
    159,
    165,
    174,
    256,
    266,
    276
   ],
   [
    101,
    111,
    121,
    160,
    166,
    175,
    257,
    267,
    277
   ],
   [
    112,
    122,
    132,
    167,
    176,
    186,
    268,
    278,
    288
   ],
   [
    113,
    123,
    133,
    168,
    177,
    187,
    269,
    279,
    289
   ],
   [
    94,
    104,
    114,
    173,
    183,
    193,
    250,
    260,
    270
   ],
   [
    95,
    105,
    115,
    157,
    161,
    169,
    251,
    261,
    271
   ],
   [
    106,
    116,
    126,
    185,
    195,
    205,
    262,
    272,
    282
   ],
   [
    107,
    117,
    127,
    162,
    170,
    180,
    263,
    273,
    283
   ],
   [
    118,
    128,
    138,
    197,
    207,
    217,
    274,
    284,
    294
   ],
   [
    119,
    129,
    139,
    172,
    182,
    192,
    275,
    285,
    295
   ],
   [
    100,
    110,
    120,
    159,
    165,
    174,
    256,
    266,
    276
   ],
   [
    101,
    111,
    121,
    160,
    166,
    175,
    257,
    267,
    277
   ],
   [
    112,
    122,
    132,
    167,
    176,
    186,
    268,
    278,
    288
   ],
   [
    113,
    123,
    133,
    168,
    177,
    187,
    269,
    279,
    289
   ],
   [
    124,
    134,
    143,
    178,
    188,
    198,
    280,
    290,
    299
   ],
   [
    125,
    135,
    144,
    179,
    189,
    199,
    281,
    291,
    300
   ],
   [
    106,
    116,
    126,
    185,
    195,
    205,
    262,
    272,
    282
   ],
   [
    107,
    117,
    127,
    162,
    170,
    180,
    263,
    273,
    283
   ],
   [
    118,
    128,
    138,
    197,
    207,
    217,
    274,
    284,
    294
   ],
   [
    119,
    129,
    139,
    172,
    182,
    192,
    275,
    285,
    295
   ],
   [
    130,
    140,
    148,
    209,
    219,
    229,
    286,
    296,
    304
   ],
   [
    131,
    141,
    149,
    184,
    194,
    204,
    287,
    297,
    305
   ],
   [
    112,
    122,
    132,
    167,
    176,
    186,
    268,
    278,
    288
   ],
   [
    113,
    123,
    133,
    168,
    177,
    187,
    269,
    279,
    289
   ],
   [
    124,
    134,
    143,
    178,
    188,
    198,
    280,
    290,
    299
   ],
   [
    125,
    135,
    144,
    179,
    189,
    199,
    281,
    291,
    300
   ],
   [
    136,
    145,
    151,
    190,
    200,
    210,
    292,
    301,
    307
   ],
   [
    137,
    146,
    152,
    191,
    201,
    211,
    293,
    302,
    308
   ],
   [
    118,
    128,
    138,
    197,
    207,
    217,
    274,
    284,
    294
   ],
   [
    119,
    129,
    139,
    172,
    182,
    192,
    275,
    285,
    295
   ],
   [
    130,
    140,
    148,
    209,
    219,
    229,
    286,
    296,
    304
   ],
   [
    131,
    141,
    149,
    184,
    194,
    204,
    287,
    297,
    305
   ],
   [
    142,
    150,
    154,
    196,
    206,
    216,
    298,
    306,
    310
   ],
   [
    124,
    134,
    143,
    178,
    188,
    198,
    280,
    290,
    299
   ],
   [
    125,
    135,
    144,
    179,
    189,
    199,
    281,
    291,
    300
   ],
   [
    136,
    145,
    151,
    190,
    200,
    210,
    292,
    301,
    307
   ],
   [
    137,
    146,
    152,
    191,
    201,
    211,
    293,
    302,
    308
   ],
   [
    147,
    153,
    155,
    203,
    213,
    223,
    303,
    309,
    311
   ],
   [
    130,
    140,
    148,
    209,
    219,
    229,
    286,
    296,
    304
   ],
   [
    131,
    141,
    149,
    184,
    194,
    204,
    287,
    297,
    305
   ],
   [
    142,
    150,
    154,
    196,
    206,
    216,
    298,
    306,
    310
   ],
   [
    136,
    145,
    151,
    190,
    200,
    210,
    292,
    301,
    307
   ],
   [
    137,
    146,
    152,
    191,
    201,
    211,
    293,
    302,
    308
   ],
   [
    147,
    153,
    155,
    203,
    213,
    223,
    303,
    309,
    311
   ],
   [
    142,
    150,
    154,
    196,
    206,
    216,
    298,
    306,
    310
   ],
   [
    147,
    153,
    155,
    203,
    213,
    223,
    303,
    309,
    311
   ]
  ]
 },
 "distance": {
  "d": 2,
  "X": {
   "value": 2,
   "confidence": "upper_bound",
   "witness": [
    76,
    86
   ],
   "witness_provenance": {
    "found_by": [
     "@mathysrennela"
    ],
    "date": "2026-10-12",
    "found_at_samples": 2000,
    "survived_samples": 2000,
    "tool": "research/kit/surrogate.lightest_logical",
    "seeds": [
     1043
    ]
   }
  },
  "Z": {
   "value": 2,
   "confidence": "upper_bound",
   "witness": [
    14,
    24
   ],
   "witness_provenance": {
    "found_by": [
     "@mathysrennela"
    ],
    "date": "2026-10-12",
    "found_at_samples": 2000,
    "survived_samples": 2000,
    "tool": "research/kit/surrogate.lightest_logical",
    "seeds": [
     1044
    ]
   }
  }
 },
 "provenance": {
  "authors": [
   "Lee, Gideon"
  ],
  "construction": "Two-block group-algebra code C(a,b) over C156 = SmallGroup(156, 6) (order 156), elements numbered as in GAP Elements(SmallGroup(order,id)) with element 0 the identity. n = 2|G| = 312; H_X = [L(a)|R(b)], H_Z = [R(b)^T|L(a)^T]; a = {0, 2, 8, 65, 75, 85}, b = {0, 2, 8} as element indices. Check weight 9. Parameters and blocks taken from the public code database of arXiv:2610.13880v1 (Lee, 'Bicycle Race'), github.com/gideonlsx/bicycle-race.",
  "references": [
   "arXiv:2610.13880"
  ],
  "date": "2026-10-12",
  "notes": "Parameters and construction taken from the public database of arXiv:2610.13880v1. Distance is an upper bound certified by the witnesses attached here. Parameters and blocks taken from the public code database of arXiv:2610.13880v1 (Lee, 'Bicycle Race'), github.com/gideonlsx/bicycle-race @ aed705a, CC BY 4.0; rebuilt here with the repo's own group data. Distance is an upper bound certified by the attached witnesses, not the paper's exact distance.",
  "origin": "baseline",
  "novelty": "known_parameters",
  "model": "Mimo-V2.6-Flash"
 },
 "family": "generalized-bicycle"
}