{
 "schema_version": "0.2",
 "name": "[[306,204,2]] two-block code over C51 x C3",
 "code_type": "CSS",
 "n": 306,
 "k": 204,
 "checks": {
  "X": [
   [
    0,
    5,
    18,
    142,
    145,
    151,
    153,
    158,
    171
   ],
   [
    1,
    7,
    10,
    134,
    147,
    152,
    154,
    160,
    163
   ],
   [
    2,
    4,
    12,
    140,
    148,
    150,
    155,
    157,
    165
   ],
   [
    2,
    3,
    4,
    12,
    13,
    27,
    156,
    166,
    180
   ],
   [
    2,
    4,
    12,
    140,
    148,
    150,
    155,
    157,
    165
   ],
   [
    0,
    5,
    18,
    142,
    145,
    151,
    153,
    158,
    171
   ],
   [
    0,
    5,
    6,
    15,
    18,
    19,
    159,
    168,
    172
   ],
   [
    1,
    7,
    10,
    134,
    147,
    152,
    154,
    160,
    163
   ],
   [
    1,
    7,
    8,
    10,
    11,
    21,
    161,
    164,
    174
   ],
   [
    8,
    9,
    11,
    21,
    22,
    36,
    162,
    175,
    189
   ],
   [
    1,
    7,
    10,
    134,
    147,
    152,
    154,
    160,
    163
   ],
   [
    1,
    7,
    8,
    10,
    11,
    21,
    161,
    164,
    174
   ],
   [
    2,
    4,
    12,
    140,
    148,
    150,
    155,
    157,
    165
   ],
   [
    2,
    3,
    4,
    12,
    13,
    27,
    156,
    166,
    180
   ],
   [
    3,
    13,
    14,
    24,
    27,
    28,
    167,
    177,
    181
   ],
   [
    0,
    5,
    6,
    15,
    18,
    19,
    159,
    168,
    172
   ],
   [
    6,
    15,
    16,
    19,
    20,
    30,
    169,
    173,
    183
   ],
   [
    16,
    17,
    20,
    30,
    31,
    45,
    170,
    184,
    198
   ],
   [
    0,
    5,
    18,
    142,
    145,
    151,
    153,
    158,
    171
   ],
   [
    0,
    5,
    6,
    15,
    18,
    19,
    159,
    168,
    172
   ],
   [
    6,
    15,
    16,
    19,
    20,
    30,
    169,
    173,
    183
   ],
   [
    1,
    7,
    8,
    10,
    11,
    21,
    161,
    164,
    174
   ],
   [
    8,
    9,
    11,
    21,
    22,
    36,
    162,
    175,
    189
   ],
   [
    9,
    22,
    23,
    33,
    36,
    37,
    176,
    186,
    190
   ],
   [
    3,
    13,
    14,
    24,
    27,
    28,
    167,
    177,
    181
   ],
   [
    14,
    24,
    25,
    28,
    29,
    39,
    178,
    182,
    192
   ],
   [
    25,
    26,
    29,
    39,
    40,
    54,
    179,
    193,
    207
   ],
   [
    2,
    3,
    4,
    12,
    13,
    27,
    156,
    166,
    180
   ],
   [
    3,
    13,
    14,
    24,
    27,
    28,
    167,
    177,
    181
   ],
   [
    14,
    24,
    25,
    28,
    29,
    39,
    178,
    182,
    192
   ],
   [
    6,
    15,
    16,
    19,
    20,
    30,
    169,
    173,
    183
   ],
   [
    16,
    17,
    20,
    30,
    31,
    45,
    170,
    184,
    198
   ],
   [
    17,
    31,
    32,
    42,
    45,
    46,
    185,
    195,
    199
   ],
   [
    9,
    22,
    23,
    33,
    36,
    37,
    176,
    186,
    190
   ],
   [
    23,
    33,
    34,
    37,
    38,
    48,
    187,
    191,
    201
   ],
   [
    34,
    35,
    38,
    48,
    49,
    63,
    188,
    202,
    216
   ],
   [
    8,
    9,
    11,
    21,
    22,
    36,
    162,
    175,
    189
   ],
   [
    9,
    22,
    23,
    33,
    36,
    37,
    176,
    186,
    190
   ],
   [
    23,
    33,
    34,
    37,
    38,
    48,
    187,
    191,
    201
   ],
   [
    14,
    24,
    25,
    28,
    29,
    39,
    178,
    182,
    192
   ],
   [
    25,
    26,
    29,
    39,
    40,
    54,
    179,
    193,
    207
   ],
   [
    26,
    40,
    41,
    51,
    54,
    55,
    194,
    204,
    208
   ],
   [
    17,
    31,
    32,
    42,
    45,
    46,
    185,
    195,
    199
   ],
   [
    32,
    42,
    43,
    46,
    47,
    57,
    196,
    200,
    210
   ],
   [
    43,
    44,
    47,
    57,
    58,
    72,
    197,
    211,
    225
   ],
   [
    16,
    17,
    20,
    30,
    31,
    45,
    170,
    184,
    198
   ],
   [
    17,
    31,
    32,
    42,
    45,
    46,
    185,
    195,
    199
   ],
   [
    32,
    42,
    43,
    46,
    47,
    57,
    196,
    200,
    210
   ],
   [
    23,
    33,
    34,
    37,
    38,
    48,
    187,
    191,
    201
   ],
   [
    34,
    35,
    38,
    48,
    49,
    63,
    188,
    202,
    216
   ],
   [
    35,
    49,
    50,
    60,
    63,
    64,
    203,
    213,
    217
   ],
   [
    26,
    40,
    41,
    51,
    54,
    55,
    194,
    204,
    208
   ],
   [
    41,
    51,
    52,
    55,
    56,
    66,
    205,
    209,
    219
   ],
   [
    52,
    53,
    56,
    66,
    67,
    81,
    206,
    220,
    234
   ],
   [
    25,
    26,
    29,
    39,
    40,
    54,
    179,
    193,
    207
   ],
   [
    26,
    40,
    41,
    51,
    54,
    55,
    194,
    204,
    208
   ],
   [
    41,
    51,
    52,
    55,
    56,
    66,
    205,
    209,
    219
   ],
   [
    32,
    42,
    43,
    46,
    47,
    57,
    196,
    200,
    210
   ],
   [
    43,
    44,
    47,
    57,
    58,
    72,
    197,
    211,
    225
   ],
   [
    44,
    58,
    59,
    69,
    72,
    73,
    212,
    222,
    226
   ],
   [
    35,
    49,
    50,
    60,
    63,
    64,
    203,
    213,
    217
   ],
   [
    50,
    60,
    61,
    64,
    65,
    75,
    214,
    218,
    228
   ],
   [
    61,
    62,
    65,
    75,
    76,
    90,
    215,
    229,
    243
   ],
   [
    34,
    35,
    38,
    48,
    49,
    63,
    188,
    202,
    216
   ],
   [
    35,
    49,
    50,
    60,
    63,
    64,
    203,
    213,
    217
   ],
   [
    50,
    60,
    61,
    64,
    65,
    75,
    214,
    218,
    228
   ],
   [
    41,
    51,
    52,
    55,
    56,
    66,
    205,
    209,
    219
   ],
   [
    52,
    53,
    56,
    66,
    67,
    81,
    206,
    220,
    234
   ],
   [
    53,
    67,
    68,
    78,
    81,
    82,
    221,
    231,
    235
   ],
   [
    44,
    58,
    59,
    69,
    72,
    73,
    212,
    222,
    226
   ],
   [
    59,
    69,
    70,
    73,
    74,
    84,
    223,
    227,
    237
   ],
   [
    70,
    71,
    74,
    84,
    85,
    99,
    224,
    238,
    252
   ],
   [
    43,
    44,
    47,
    57,
    58,
    72,
    197,
    211,
    225
   ],
   [
    44,
    58,
    59,
    69,
    72,
    73,
    212,
    222,
    226
   ],
   [
    59,
    69,
    70,
    73,
    74,
    84,
    223,
    227,
    237
   ],
   [
    50,
    60,
    61,
    64,
    65,
    75,
    214,
    218,
    228
   ],
   [
    61,
    62,
    65,
    75,
    76,
    90,
    215,
    229,
    243
   ],
   [
    62,
    76,
    77,
    87,
    90,
    91,
    230,
    240,
    244
   ],
   [
    53,
    67,
    68,
    78,
    81,
    82,
    221,
    231,
    235
   ],
   [
    68,
    78,
    79,
    82,
    83,
    93,
    232,
    236,
    246
   ],
   [
    79,
    80,
    83,
    93,
    94,
    108,
    233,
    247,
    261
   ],
   [
    52,
    53,
    56,
    66,
    67,
    81,
    206,
    220,
    234
   ],
   [
    53,
    67,
    68,
    78,
    81,
    82,
    221,
    231,
    235
   ],
   [
    68,
    78,
    79,
    82,
    83,
    93,
    232,
    236,
    246
   ],
   [
    59,
    69,
    70,
    73,
    74,
    84,
    223,
    227,
    237
   ],
   [
    70,
    71,
    74,
    84,
    85,
    99,
    224,
    238,
    252
   ],
   [
    71,
    85,
    86,
    96,
    99,
    100,
    239,
    249,
    253
   ],
   [
    62,
    76,
    77,
    87,
    90,
    91,
    230,
    240,
    244
   ],
   [
    77,
    87,
    88,
    91,
    92,
    102,
    241,
    245,
    255
   ],
   [
    88,
    89,
    92,
    102,
    103,
    117,
    242,
    256,
    270
   ],
   [
    61,
    62,
    65,
    75,
    76,
    90,
    215,
    229,
    243
   ],
   [
    62,
    76,
    77,
    87,
    90,
    91,
    230,
    240,
    244
   ],
   [
    77,
    87,
    88,
    91,
    92,
    102,
    241,
    245,
    255
   ],
   [
    68,
    78,
    79,
    82,
    83,
    93,
    232,
    236,
    246
   ],
   [
    79,
    80,
    83,
    93,
    94,
    108,
    233,
    247,
    261
   ],
   [
    80,
    94,
    95,
    105,
    108,
    109,
    248,
    258,
    262
   ],
   [
    71,
    85,
    86,
    96,
    99,
    100,
    239,
    249,
    253
   ],
   [
    86,
    96,
    97,
    100,
    101,
    111,
    250,
    254,
    264
   ],
   [
    97,
    98,
    101,
    111,
    112,
    126,
    251,
    265,
    279
   ],
   [
    70,
    71,
    74,
    84,
    85,
    99,
    224,
    238,
    252
   ],
   [
    71,
    85,
    86,
    96,
    99,
    100,
    239,
    249,
    253
   ],
   [
    86,
    96,
    97,
    100,
    101,
    111,
    250,
    254,
    264
   ],
   [
    77,
    87,
    88,
    91,
    92,
    102,
    241,
    245,
    255
   ],
   [
    88,
    89,
    92,
    102,
    103,
    117,
    242,
    256,
    270
   ],
   [
    89,
    103,
    104,
    114,
    117,
    118,
    257,
    267,
    271
   ],
   [
    80,
    94,
    95,
    105,
    108,
    109,
    248,
    258,
    262
   ],
   [
    95,
    105,
    106,
    109,
    110,
    120,
    259,
    263,
    273
   ],
   [
    106,
    107,
    110,
    120,
    121,
    135,
    260,
    274,
    288
   ],
   [
    79,
    80,
    83,
    93,
    94,
    108,
    233,
    247,
    261
   ],
   [
    80,
    94,
    95,
    105,
    108,
    109,
    248,
    258,
    262
   ],
   [
    95,
    105,
    106,
    109,
    110,
    120,
    259,
    263,
    273
   ],
   [
    86,
    96,
    97,
    100,
    101,
    111,
    250,
    254,
    264
   ],
   [
    97,
    98,
    101,
    111,
    112,
    126,
    251,
    265,
    279
   ],
   [
    98,
    112,
    113,
    123,
    126,
    127,
    266,
    276,
    280
   ],
   [
    89,
    103,
    104,
    114,
    117,
    118,
    257,
    267,
    271
   ],
   [
    104,
    114,
    115,
    118,
    119,
    129,
    268,
    272,
    282
   ],
   [
    115,
    116,
    119,
    129,
    130,
    143,
    269,
    283,
    296
   ],
   [
    88,
    89,
    92,
    102,
    103,
    117,
    242,
    256,
    270
   ],
   [
    89,
    103,
    104,
    114,
    117,
    118,
    257,
    267,
    271
   ],
   [
    104,
    114,
    115,
    118,
    119,
    129,
    268,
    272,
    282
   ],
   [
    95,
    105,
    106,
    109,
    110,
    120,
    259,
    263,
    273
   ],
   [
    106,
    107,
    110,
    120,
    121,
    135,
    260,
    274,
    288
   ],
   [
    107,
    121,
    122,
    132,
    135,
    136,
    275,
    285,
    289
   ],
   [
    98,
    112,
    113,
    123,
    126,
    127,
    266,
    276,
    280
   ],
   [
    113,
    123,
    124,
    127,
    128,
    138,
    277,
    281,
    291
   ],
   [
    124,
    125,
    128,
    138,
    139,
    149,
    278,
    292,
    302
   ],
   [
    97,
    98,
    101,
    111,
    112,
    126,
    251,
    265,
    279
   ],
   [
    98,
    112,
    113,
    123,
    126,
    127,
    266,
    276,
    280
   ],
   [
    113,
    123,
    124,
    127,
    128,
    138,
    277,
    281,
    291
   ],
   [
    104,
    114,
    115,
    118,
    119,
    129,
    268,
    272,
    282
   ],
   [
    115,
    116,
    119,
    129,
    130,
    143,
    269,
    283,
    296
   ],
   [
    116,
    130,
    131,
    141,
    143,
    144,
    284,
    294,
    297
   ],
   [
    107,
    121,
    122,
    132,
    135,
    136,
    275,
    285,
    289
   ],
   [
    122,
    132,
    133,
    136,
    137,
    146,
    286,
    290,
    299
   ],
   [
    133,
    134,
    137,
    146,
    147,
    152,
    287,
    300,
    305
   ],
   [
    106,
    107,
    110,
    120,
    121,
    135,
    260,
    274,
    288
   ],
   [
    107,
    121,
    122,
    132,
    135,
    136,
    275,
    285,
    289
   ],
   [
    122,
    132,
    133,
    136,
    137,
    146,
    286,
    290,
    299
   ],
   [
    113,
    123,
    124,
    127,
    128,
    138,
    277,
    281,
    291
   ],
   [
    124,
    125,
    128,
    138,
    139,
    149,
    278,
    292,
    302
   ],
   [
    125,
    139,
    140,
    148,
    149,
    150,
    293,
    301,
    303
   ],
   [
    116,
    130,
    131,
    141,
    143,
    144,
    284,
    294,
    297
   ],
   [
    131,
    141,
    142,
    144,
    145,
    151,
    295,
    298,
    304
   ],
   [
    115,
    116,
    119,
    129,
    130,
    143,
    269,
    283,
    296
   ],
   [
    116,
    130,
    131,
    141,
    143,
    144,
    284,
    294,
    297
   ],
   [
    131,
    141,
    142,
    144,
    145,
    151,
    295,
    298,
    304
   ],
   [
    122,
    132,
    133,
    136,
    137,
    146,
    286,
    290,
    299
   ],
   [
    133,
    134,
    137,
    146,
    147,
    152,
    287,
    300,
    305
   ],
   [
    125,
    139,
    140,
    148,
    149,
    150,
    293,
    301,
    303
   ],
   [
    124,
    125,
    128,
    138,
    139,
    149,
    278,
    292,
    302
   ],
   [
    125,
    139,
    140,
    148,
    149,
    150,
    293,
    301,
    303
   ],
   [
    131,
    141,
    142,
    144,
    145,
    151,
    295,
    298,
    304
   ],
   [
    133,
    134,
    137,
    146,
    147,
    152,
    287,
    300,
    305
   ]
  ],
  "Z": [
   [
    0,
    5,
    18,
    153,
    158,
    159,
    168,
    171,
    172
   ],
   [
    1,
    7,
    10,
    154,
    160,
    161,
    163,
    164,
    174
   ],
   [
    2,
    4,
    12,
    155,
    156,
    157,
    165,
    166,
    180
   ],
   [
    3,
    13,
    27,
    156,
    166,
    167,
    177,
    180,
    181
   ],
   [
    2,
    4,
    12,
    155,
    156,
    157,
    165,
    166,
    180
   ],
   [
    0,
    5,
    18,
    153,
    158,
    159,
    168,
    171,
    172
   ],
   [
    6,
    15,
    19,
    159,
    168,
    169,
    172,
    173,
    183
   ],
   [
    1,
    7,
    10,
    154,
    160,
    161,
    163,
    164,
    174
   ],
   [
    8,
    11,
    21,
    161,
    162,
    164,
    174,
    175,
    189
   ],
   [
    9,
    22,
    36,
    162,
    175,
    176,
    186,
    189,
    190
   ],
   [
    1,
    7,
    10,
    154,
    160,
    161,
    163,
    164,
    174
   ],
   [
    8,
    11,
    21,
    161,
    162,
    164,
    174,
    175,
    189
   ],
   [
    2,
    4,
    12,
    155,
    156,
    157,
    165,
    166,
    180
   ],
   [
    3,
    13,
    27,
    156,
    166,
    167,
    177,
    180,
    181
   ],
   [
    14,
    24,
    28,
    167,
    177,
    178,
    181,
    182,
    192
   ],
   [
    6,
    15,
    19,
    159,
    168,
    169,
    172,
    173,
    183
   ],
   [
    16,
    20,
    30,
    169,
    170,
    173,
    183,
    184,
    198
   ],
   [
    17,
    31,
    45,
    170,
    184,
    185,
    195,
    198,
    199
   ],
   [
    0,
    5,
    18,
    153,
    158,
    159,
    168,
    171,
    172
   ],
   [
    6,
    15,
    19,
    159,
    168,
    169,
    172,
    173,
    183
   ],
   [
    16,
    20,
    30,
    169,
    170,
    173,
    183,
    184,
    198
   ],
   [
    8,
    11,
    21,
    161,
    162,
    164,
    174,
    175,
    189
   ],
   [
    9,
    22,
    36,
    162,
    175,
    176,
    186,
    189,
    190
   ],
   [
    23,
    33,
    37,
    176,
    186,
    187,
    190,
    191,
    201
   ],
   [
    14,
    24,
    28,
    167,
    177,
    178,
    181,
    182,
    192
   ],
   [
    25,
    29,
    39,
    178,
    179,
    182,
    192,
    193,
    207
   ],
   [
    26,
    40,
    54,
    179,
    193,
    194,
    204,
    207,
    208
   ],
   [
    3,
    13,
    27,
    156,
    166,
    167,
    177,
    180,
    181
   ],
   [
    14,
    24,
    28,
    167,
    177,
    178,
    181,
    182,
    192
   ],
   [
    25,
    29,
    39,
    178,
    179,
    182,
    192,
    193,
    207
   ],
   [
    16,
    20,
    30,
    169,
    170,
    173,
    183,
    184,
    198
   ],
   [
    17,
    31,
    45,
    170,
    184,
    185,
    195,
    198,
    199
   ],
   [
    32,
    42,
    46,
    185,
    195,
    196,
    199,
    200,
    210
   ],
   [
    23,
    33,
    37,
    176,
    186,
    187,
    190,
    191,
    201
   ],
   [
    34,
    38,
    48,
    187,
    188,
    191,
    201,
    202,
    216
   ],
   [
    35,
    49,
    63,
    188,
    202,
    203,
    213,
    216,
    217
   ],
   [
    9,
    22,
    36,
    162,
    175,
    176,
    186,
    189,
    190
   ],
   [
    23,
    33,
    37,
    176,
    186,
    187,
    190,
    191,
    201
   ],
   [
    34,
    38,
    48,
    187,
    188,
    191,
    201,
    202,
    216
   ],
   [
    25,
    29,
    39,
    178,
    179,
    182,
    192,
    193,
    207
   ],
   [
    26,
    40,
    54,
    179,
    193,
    194,
    204,
    207,
    208
   ],
   [
    41,
    51,
    55,
    194,
    204,
    205,
    208,
    209,
    219
   ],
   [
    32,
    42,
    46,
    185,
    195,
    196,
    199,
    200,
    210
   ],
   [
    43,
    47,
    57,
    196,
    197,
    200,
    210,
    211,
    225
   ],
   [
    44,
    58,
    72,
    197,
    211,
    212,
    222,
    225,
    226
   ],
   [
    17,
    31,
    45,
    170,
    184,
    185,
    195,
    198,
    199
   ],
   [
    32,
    42,
    46,
    185,
    195,
    196,
    199,
    200,
    210
   ],
   [
    43,
    47,
    57,
    196,
    197,
    200,
    210,
    211,
    225
   ],
   [
    34,
    38,
    48,
    187,
    188,
    191,
    201,
    202,
    216
   ],
   [
    35,
    49,
    63,
    188,
    202,
    203,
    213,
    216,
    217
   ],
   [
    50,
    60,
    64,
    203,
    213,
    214,
    217,
    218,
    228
   ],
   [
    41,
    51,
    55,
    194,
    204,
    205,
    208,
    209,
    219
   ],
   [
    52,
    56,
    66,
    205,
    206,
    209,
    219,
    220,
    234
   ],
   [
    53,
    67,
    81,
    206,
    220,
    221,
    231,
    234,
    235
   ],
   [
    26,
    40,
    54,
    179,
    193,
    194,
    204,
    207,
    208
   ],
   [
    41,
    51,
    55,
    194,
    204,
    205,
    208,
    209,
    219
   ],
   [
    52,
    56,
    66,
    205,
    206,
    209,
    219,
    220,
    234
   ],
   [
    43,
    47,
    57,
    196,
    197,
    200,
    210,
    211,
    225
   ],
   [
    44,
    58,
    72,
    197,
    211,
    212,
    222,
    225,
    226
   ],
   [
    59,
    69,
    73,
    212,
    222,
    223,
    226,
    227,
    237
   ],
   [
    50,
    60,
    64,
    203,
    213,
    214,
    217,
    218,
    228
   ],
   [
    61,
    65,
    75,
    214,
    215,
    218,
    228,
    229,
    243
   ],
   [
    62,
    76,
    90,
    215,
    229,
    230,
    240,
    243,
    244
   ],
   [
    35,
    49,
    63,
    188,
    202,
    203,
    213,
    216,
    217
   ],
   [
    50,
    60,
    64,
    203,
    213,
    214,
    217,
    218,
    228
   ],
   [
    61,
    65,
    75,
    214,
    215,
    218,
    228,
    229,
    243
   ],
   [
    52,
    56,
    66,
    205,
    206,
    209,
    219,
    220,
    234
   ],
   [
    53,
    67,
    81,
    206,
    220,
    221,
    231,
    234,
    235
   ],
   [
    68,
    78,
    82,
    221,
    231,
    232,
    235,
    236,
    246
   ],
   [
    59,
    69,
    73,
    212,
    222,
    223,
    226,
    227,
    237
   ],
   [
    70,
    74,
    84,
    223,
    224,
    227,
    237,
    238,
    252
   ],
   [
    71,
    85,
    99,
    224,
    238,
    239,
    249,
    252,
    253
   ],
   [
    44,
    58,
    72,
    197,
    211,
    212,
    222,
    225,
    226
   ],
   [
    59,
    69,
    73,
    212,
    222,
    223,
    226,
    227,
    237
   ],
   [
    70,
    74,
    84,
    223,
    224,
    227,
    237,
    238,
    252
   ],
   [
    61,
    65,
    75,
    214,
    215,
    218,
    228,
    229,
    243
   ],
   [
    62,
    76,
    90,
    215,
    229,
    230,
    240,
    243,
    244
   ],
   [
    77,
    87,
    91,
    230,
    240,
    241,
    244,
    245,
    255
   ],
   [
    68,
    78,
    82,
    221,
    231,
    232,
    235,
    236,
    246
   ],
   [
    79,
    83,
    93,
    232,
    233,
    236,
    246,
    247,
    261
   ],
   [
    80,
    94,
    108,
    233,
    247,
    248,
    258,
    261,
    262
   ],
   [
    53,
    67,
    81,
    206,
    220,
    221,
    231,
    234,
    235
   ],
   [
    68,
    78,
    82,
    221,
    231,
    232,
    235,
    236,
    246
   ],
   [
    79,
    83,
    93,
    232,
    233,
    236,
    246,
    247,
    261
   ],
   [
    70,
    74,
    84,
    223,
    224,
    227,
    237,
    238,
    252
   ],
   [
    71,
    85,
    99,
    224,
    238,
    239,
    249,
    252,
    253
   ],
   [
    86,
    96,
    100,
    239,
    249,
    250,
    253,
    254,
    264
   ],
   [
    77,
    87,
    91,
    230,
    240,
    241,
    244,
    245,
    255
   ],
   [
    88,
    92,
    102,
    241,
    242,
    245,
    255,
    256,
    270
   ],
   [
    89,
    103,
    117,
    242,
    256,
    257,
    267,
    270,
    271
   ],
   [
    62,
    76,
    90,
    215,
    229,
    230,
    240,
    243,
    244
   ],
   [
    77,
    87,
    91,
    230,
    240,
    241,
    244,
    245,
    255
   ],
   [
    88,
    92,
    102,
    241,
    242,
    245,
    255,
    256,
    270
   ],
   [
    79,
    83,
    93,
    232,
    233,
    236,
    246,
    247,
    261
   ],
   [
    80,
    94,
    108,
    233,
    247,
    248,
    258,
    261,
    262
   ],
   [
    95,
    105,
    109,
    248,
    258,
    259,
    262,
    263,
    273
   ],
   [
    86,
    96,
    100,
    239,
    249,
    250,
    253,
    254,
    264
   ],
   [
    97,
    101,
    111,
    250,
    251,
    254,
    264,
    265,
    279
   ],
   [
    98,
    112,
    126,
    251,
    265,
    266,
    276,
    279,
    280
   ],
   [
    71,
    85,
    99,
    224,
    238,
    239,
    249,
    252,
    253
   ],
   [
    86,
    96,
    100,
    239,
    249,
    250,
    253,
    254,
    264
   ],
   [
    97,
    101,
    111,
    250,
    251,
    254,
    264,
    265,
    279
   ],
   [
    88,
    92,
    102,
    241,
    242,
    245,
    255,
    256,
    270
   ],
   [
    89,
    103,
    117,
    242,
    256,
    257,
    267,
    270,
    271
   ],
   [
    104,
    114,
    118,
    257,
    267,
    268,
    271,
    272,
    282
   ],
   [
    95,
    105,
    109,
    248,
    258,
    259,
    262,
    263,
    273
   ],
   [
    106,
    110,
    120,
    259,
    260,
    263,
    273,
    274,
    288
   ],
   [
    107,
    121,
    135,
    260,
    274,
    275,
    285,
    288,
    289
   ],
   [
    80,
    94,
    108,
    233,
    247,
    248,
    258,
    261,
    262
   ],
   [
    95,
    105,
    109,
    248,
    258,
    259,
    262,
    263,
    273
   ],
   [
    106,
    110,
    120,
    259,
    260,
    263,
    273,
    274,
    288
   ],
   [
    97,
    101,
    111,
    250,
    251,
    254,
    264,
    265,
    279
   ],
   [
    98,
    112,
    126,
    251,
    265,
    266,
    276,
    279,
    280
   ],
   [
    113,
    123,
    127,
    266,
    276,
    277,
    280,
    281,
    291
   ],
   [
    104,
    114,
    118,
    257,
    267,
    268,
    271,
    272,
    282
   ],
   [
    115,
    119,
    129,
    268,
    269,
    272,
    282,
    283,
    296
   ],
   [
    116,
    130,
    143,
    269,
    283,
    284,
    294,
    296,
    297
   ],
   [
    89,
    103,
    117,
    242,
    256,
    257,
    267,
    270,
    271
   ],
   [
    104,
    114,
    118,
    257,
    267,
    268,
    271,
    272,
    282
   ],
   [
    115,
    119,
    129,
    268,
    269,
    272,
    282,
    283,
    296
   ],
   [
    106,
    110,
    120,
    259,
    260,
    263,
    273,
    274,
    288
   ],
   [
    107,
    121,
    135,
    260,
    274,
    275,
    285,
    288,
    289
   ],
   [
    122,
    132,
    136,
    275,
    285,
    286,
    289,
    290,
    299
   ],
   [
    113,
    123,
    127,
    266,
    276,
    277,
    280,
    281,
    291
   ],
   [
    124,
    128,
    138,
    277,
    278,
    281,
    291,
    292,
    302
   ],
   [
    125,
    139,
    149,
    278,
    292,
    293,
    301,
    302,
    303
   ],
   [
    98,
    112,
    126,
    251,
    265,
    266,
    276,
    279,
    280
   ],
   [
    113,
    123,
    127,
    266,
    276,
    277,
    280,
    281,
    291
   ],
   [
    124,
    128,
    138,
    277,
    278,
    281,
    291,
    292,
    302
   ],
   [
    115,
    119,
    129,
    268,
    269,
    272,
    282,
    283,
    296
   ],
   [
    116,
    130,
    143,
    269,
    283,
    284,
    294,
    296,
    297
   ],
   [
    131,
    141,
    144,
    284,
    294,
    295,
    297,
    298,
    304
   ],
   [
    122,
    132,
    136,
    275,
    285,
    286,
    289,
    290,
    299
   ],
   [
    133,
    137,
    146,
    286,
    287,
    290,
    299,
    300,
    305
   ],
   [
    134,
    147,
    152,
    154,
    160,
    163,
    287,
    300,
    305
   ],
   [
    107,
    121,
    135,
    260,
    274,
    275,
    285,
    288,
    289
   ],
   [
    122,
    132,
    136,
    275,
    285,
    286,
    289,
    290,
    299
   ],
   [
    133,
    137,
    146,
    286,
    287,
    290,
    299,
    300,
    305
   ],
   [
    124,
    128,
    138,
    277,
    278,
    281,
    291,
    292,
    302
   ],
   [
    125,
    139,
    149,
    278,
    292,
    293,
    301,
    302,
    303
   ],
   [
    140,
    148,
    150,
    155,
    157,
    165,
    293,
    301,
    303
   ],
   [
    131,
    141,
    144,
    284,
    294,
    295,
    297,
    298,
    304
   ],
   [
    142,
    145,
    151,
    153,
    158,
    171,
    295,
    298,
    304
   ],
   [
    116,
    130,
    143,
    269,
    283,
    284,
    294,
    296,
    297
   ],
   [
    131,
    141,
    144,
    284,
    294,
    295,
    297,
    298,
    304
   ],
   [
    142,
    145,
    151,
    153,
    158,
    171,
    295,
    298,
    304
   ],
   [
    133,
    137,
    146,
    286,
    287,
    290,
    299,
    300,
    305
   ],
   [
    134,
    147,
    152,
    154,
    160,
    163,
    287,
    300,
    305
   ],
   [
    140,
    148,
    150,
    155,
    157,
    165,
    293,
    301,
    303
   ],
   [
    125,
    139,
    149,
    278,
    292,
    293,
    301,
    302,
    303
   ],
   [
    140,
    148,
    150,
    155,
    157,
    165,
    293,
    301,
    303
   ],
   [
    142,
    145,
    151,
    153,
    158,
    171,
    295,
    298,
    304
   ],
   [
    134,
    147,
    152,
    154,
    160,
    163,
    287,
    300,
    305
   ]
  ]
 },
 "distance": {
  "d": 2,
  "X": {
   "value": 2,
   "confidence": "upper_bound",
   "witness": [
    142,
    151
   ],
   "witness_provenance": {
    "found_by": [
     "@mathysrennela"
    ],
    "date": "2026-10-12",
    "found_at_samples": 2000,
    "survived_samples": 2000,
    "tool": "research/kit/surrogate.lightest_logical",
    "seeds": [
     1042
    ]
   }
  },
  "Z": {
   "value": 2,
   "confidence": "upper_bound",
   "witness": [
    2,
    4
   ],
   "witness_provenance": {
    "found_by": [
     "@mathysrennela"
    ],
    "date": "2026-10-12",
    "found_at_samples": 2000,
    "survived_samples": 2000,
    "tool": "research/kit/surrogate.lightest_logical",
    "seeds": [
     1043
    ]
   }
  }
 },
 "provenance": {
  "authors": [
   "Lee, Gideon"
  ],
  "construction": "Two-block group-algebra code C(a,b) over C51 x C3 = SmallGroup(153, 2) (order 153), elements numbered as in GAP Elements(SmallGroup(order,id)) with element 0 the identity. n = 2|G| = 306; H_X = [L(a)|R(b)], H_Z = [R(b)^T|L(a)^T]; a = {0, 5, 6, 15, 18, 19}, b = {0, 5, 18} 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"
}
