{
 "schema_version": "0.2",
 "name": "[[252,22,19]] two-block code over C126",
 "code_type": "CSS",
 "n": 252,
 "k": 22,
 "checks": {
  "X": [
   [
    0,
    44,
    98,
    123,
    126,
    167,
    169,
    250
   ],
   [
    1,
    53,
    90,
    120,
    127,
    176,
    178,
    251
   ],
   [
    2,
    59,
    88,
    125,
    128,
    182,
    184,
    204
   ],
   [
    3,
    32,
    62,
    112,
    129,
    164,
    185,
    187
   ],
   [
    4,
    11,
    101,
    113,
    130,
    135,
    188,
    232
   ],
   [
    5,
    68,
    79,
    124,
    131,
    191,
    193,
    213
   ],
   [
    6,
    24,
    71,
    106,
    132,
    173,
    194,
    196
   ],
   [
    7,
    17,
    93,
    107,
    133,
    141,
    197,
    238
   ],
   [
    8,
    74,
    87,
    102,
    129,
    134,
    199,
    219
   ],
   [
    9,
    47,
    77,
    104,
    126,
    135,
    200,
    202
   ],
   [
    10,
    22,
    105,
    112,
    136,
    146,
    203,
    222
   ],
   [
    11,
    14,
    50,
    80,
    137,
    182,
    203,
    205
   ],
   [
    5,
    12,
    25,
    121,
    134,
    138,
    148,
    206
   ],
   [
    13,
    26,
    115,
    122,
    139,
    149,
    151,
    244
   ],
   [
    14,
    78,
    83,
    94,
    132,
    140,
    208,
    227
   ],
   [
    15,
    38,
    86,
    96,
    127,
    141,
    209,
    211
   ],
   [
    16,
    30,
    97,
    106,
    142,
    154,
    212,
    230
   ],
   [
    8,
    17,
    41,
    89,
    143,
    191,
    212,
    214
   ],
   [
    2,
    18,
    33,
    118,
    140,
    144,
    156,
    215
   ],
   [
    19,
    34,
    109,
    119,
    145,
    157,
    159,
    247
   ],
   [
    1,
    20,
    92,
    115,
    128,
    137,
    146,
    217
   ],
   [
    21,
    36,
    104,
    116,
    138,
    147,
    218,
    235
   ],
   [
    7,
    22,
    65,
    95,
    129,
    148,
    218,
    220
   ],
   [
    14,
    23,
    39,
    117,
    130,
    149,
    162,
    221
   ],
   [
    24,
    40,
    69,
    121,
    150,
    163,
    165,
    237
   ],
   [
    25,
    28,
    68,
    97,
    151,
    200,
    221,
    222
   ],
   [
    15,
    26,
    29,
    42,
    146,
    152,
    165,
    223
   ],
   [
    16,
    27,
    43,
    125,
    147,
    153,
    166,
    168
   ],
   [
    0,
    28,
    100,
    109,
    131,
    143,
    154,
    225
   ],
   [
    29,
    45,
    96,
    110,
    144,
    155,
    226,
    241
   ],
   [
    4,
    30,
    56,
    103,
    132,
    156,
    226,
    228
   ],
   [
    8,
    31,
    48,
    111,
    133,
    157,
    171,
    229
   ],
   [
    32,
    49,
    60,
    118,
    158,
    172,
    174,
    243
   ],
   [
    20,
    33,
    59,
    105,
    159,
    209,
    229,
    230
   ],
   [
    9,
    21,
    34,
    51,
    154,
    160,
    174,
    231
   ],
   [
    10,
    35,
    52,
    124,
    155,
    161,
    175,
    177
   ],
   [
    6,
    16,
    36,
    108,
    135,
    151,
    162,
    233
   ],
   [
    7,
    37,
    54,
    123,
    136,
    152,
    163,
    234
   ],
   [
    38,
    55,
    84,
    117,
    153,
    164,
    180,
    246
   ],
   [
    18,
    39,
    83,
    110,
    137,
    165,
    234,
    235
   ],
   [
    19,
    28,
    40,
    57,
    138,
    166,
    180,
    236
   ],
   [
    29,
    41,
    58,
    87,
    139,
    167,
    181,
    183
   ],
   [
    42,
    45,
    86,
    111,
    130,
    168,
    218,
    236
   ],
   [
    30,
    43,
    46,
    60,
    162,
    169,
    183,
    237
   ],
   [
    31,
    44,
    47,
    61,
    163,
    170,
    184,
    186
   ],
   [
    3,
    10,
    45,
    114,
    141,
    159,
    171,
    239
   ],
   [
    4,
    46,
    63,
    120,
    142,
    160,
    172,
    240
   ],
   [
    47,
    64,
    75,
    111,
    161,
    173,
    189,
    249
   ],
   [
    12,
    48,
    74,
    116,
    143,
    174,
    240,
    241
   ],
   [
    13,
    20,
    49,
    66,
    144,
    175,
    189,
    242
   ],
   [
    21,
    50,
    67,
    78,
    145,
    176,
    190,
    192
   ],
   [
    36,
    51,
    77,
    117,
    133,
    177,
    226,
    242
   ],
   [
    22,
    37,
    52,
    69,
    171,
    178,
    192,
    243
   ],
   [
    23,
    38,
    53,
    70,
    172,
    179,
    193,
    195
   ],
   [
    17,
    31,
    54,
    119,
    148,
    168,
    180,
    244
   ],
   [
    18,
    32,
    55,
    72,
    149,
    169,
    181,
    245
   ],
   [
    19,
    56,
    73,
    101,
    150,
    170,
    182,
    198
   ],
   [
    34,
    57,
    100,
    120,
    136,
    151,
    183,
    245
   ],
   [
    35,
    45,
    58,
    75,
    152,
    184,
    198,
    246
   ],
   [
    1,
    46,
    59,
    76,
    153,
    185,
    199,
    201
   ],
   [
    13,
    60,
    63,
    103,
    138,
    186,
    234,
    246
   ],
   [
    48,
    61,
    64,
    78,
    139,
    180,
    187,
    201
   ],
   [
    49,
    62,
    65,
    79,
    181,
    188,
    202,
    204
   ],
   [
    11,
    23,
    63,
    122,
    156,
    177,
    189,
    247
   ],
   [
    12,
    24,
    64,
    81,
    157,
    178,
    190,
    248
   ],
   [
    13,
    65,
    82,
    93,
    158,
    179,
    191,
    207
   ],
   [
    26,
    66,
    92,
    123,
    142,
    159,
    192,
    248
   ],
   [
    27,
    36,
    67,
    84,
    160,
    193,
    207,
    249
   ],
   [
    0,
    37,
    68,
    85,
    161,
    194,
    208,
    210
   ],
   [
    19,
    54,
    69,
    95,
    144,
    195,
    240,
    249
   ],
   [
    39,
    55,
    70,
    87,
    145,
    189,
    196,
    210
   ],
   [
    40,
    56,
    71,
    88,
    190,
    197,
    211,
    213
   ],
   [
    33,
    49,
    72,
    124,
    147,
    165,
    186,
    198
   ],
   [
    34,
    50,
    73,
    90,
    166,
    187,
    199,
    250
   ],
   [
    5,
    35,
    74,
    91,
    167,
    188,
    200,
    216
   ],
   [
    24,
    52,
    75,
    114,
    149,
    168,
    201,
    250
   ],
   [
    53,
    63,
    76,
    93,
    150,
    169,
    202,
    216
   ],
   [
    6,
    64,
    77,
    94,
    170,
    203,
    217,
    219
   ],
   [
    27,
    78,
    81,
    116,
    150,
    152,
    204,
    245
   ],
   [
    0,
    66,
    79,
    82,
    153,
    198,
    205,
    219
   ],
   [
    67,
    80,
    83,
    96,
    126,
    199,
    206,
    220
   ],
   [
    25,
    40,
    81,
    125,
    155,
    174,
    195,
    207
   ],
   [
    26,
    41,
    82,
    98,
    175,
    196,
    208,
    251
   ],
   [
    2,
    27,
    83,
    99,
    176,
    197,
    209,
    224
   ],
   [
    32,
    43,
    84,
    108,
    157,
    177,
    210,
    251
   ],
   [
    44,
    54,
    85,
    101,
    158,
    178,
    211,
    224
   ],
   [
    3,
    55,
    86,
    102,
    179,
    212,
    225,
    227
   ],
   [
    35,
    72,
    87,
    110,
    158,
    160,
    213,
    248
   ],
   [
    1,
    57,
    73,
    88,
    161,
    207,
    214,
    227
   ],
   [
    58,
    74,
    89,
    104,
    127,
    208,
    215,
    228
   ],
   [
    38,
    51,
    67,
    90,
    163,
    183,
    204,
    216
   ],
   [
    52,
    68,
    91,
    106,
    164,
    184,
    205,
    217
   ],
   [
    15,
    53,
    92,
    107,
    185,
    206,
    218,
    232
   ],
   [
    41,
    70,
    93,
    122,
    164,
    166,
    186,
    219
   ],
   [
    2,
    71,
    81,
    94,
    167,
    187,
    220,
    232
   ],
   [
    17,
    82,
    95,
    109,
    128,
    188,
    221,
    233
   ],
   [
    3,
    84,
    96,
    99,
    128,
    170,
    216,
    222
   ],
   [
    4,
    85,
    97,
    100,
    129,
    217,
    223,
    235
   ],
   [
    42,
    47,
    58,
    98,
    172,
    192,
    213,
    224
   ],
   [
    43,
    59,
    99,
    112,
    173,
    193,
    214,
    225
   ],
   [
    9,
    44,
    100,
    113,
    194,
    215,
    226,
    238
   ],
   [
    50,
    61,
    101,
    119,
    173,
    175,
    195,
    227
   ],
   [
    5,
    62,
    72,
    102,
    176,
    196,
    228,
    238
   ],
   [
    11,
    73,
    103,
    115,
    131,
    197,
    229,
    239
   ],
   [
    6,
    75,
    91,
    104,
    131,
    179,
    224,
    230
   ],
   [
    7,
    76,
    92,
    105,
    132,
    225,
    231,
    241
   ],
   [
    56,
    69,
    85,
    106,
    126,
    181,
    201,
    232
   ],
   [
    8,
    70,
    86,
    107,
    182,
    202,
    222,
    233
   ],
   [
    30,
    71,
    108,
    118,
    134,
    203,
    223,
    234
   ],
   [
    9,
    89,
    98,
    109,
    134,
    185,
    205,
    235
   ],
   [
    10,
    33,
    99,
    110,
    135,
    206,
    236,
    244
   ],
   [
    12,
    102,
    111,
    114,
    136,
    137,
    233,
    237
   ],
   [
    60,
    65,
    76,
    112,
    127,
    190,
    210,
    238
   ],
   [
    14,
    61,
    77,
    113,
    191,
    211,
    230,
    239
   ],
   [
    22,
    62,
    114,
    121,
    140,
    212,
    231,
    240
   ],
   [
    15,
    80,
    90,
    115,
    140,
    194,
    214,
    241
   ],
   [
    16,
    25,
    91,
    116,
    141,
    215,
    242,
    247
   ],
   [
    18,
    94,
    108,
    117,
    142,
    143,
    239,
    243
   ],
   [
    20,
    88,
    103,
    118,
    130,
    200,
    220,
    244
   ],
   [
    21,
    48,
    89,
    119,
    146,
    221,
    237,
    245
   ],
   [
    23,
    51,
    113,
    120,
    147,
    148,
    223,
    246
   ],
   [
    28,
    79,
    95,
    121,
    133,
    209,
    228,
    247
   ],
   [
    29,
    39,
    80,
    122,
    154,
    229,
    243,
    248
   ],
   [
    31,
    42,
    107,
    123,
    155,
    156,
    231,
    249
   ],
   [
    37,
    66,
    105,
    124,
    139,
    162,
    236,
    250
   ],
   [
    46,
    57,
    97,
    125,
    145,
    171,
    242,
    251
   ]
  ],
  "Z": [
   [
    0,
    9,
    80,
    106,
    126,
    154,
    194,
    205
   ],
   [
    1,
    15,
    89,
    112,
    127,
    146,
    185,
    214
   ],
   [
    2,
    20,
    95,
    96,
    128,
    144,
    209,
    220
   ],
   [
    3,
    8,
    22,
    97,
    129,
    171,
    212,
    222
   ],
   [
    4,
    23,
    42,
    118,
    130,
    156,
    172,
    223
   ],
   [
    5,
    28,
    103,
    104,
    131,
    138,
    200,
    228
   ],
   [
    6,
    14,
    30,
    105,
    132,
    162,
    203,
    230
   ],
   [
    7,
    31,
    51,
    121,
    133,
    148,
    163,
    231
   ],
   [
    8,
    12,
    108,
    109,
    134,
    143,
    157,
    233
   ],
   [
    4,
    9,
    36,
    110,
    135,
    160,
    226,
    235
   ],
   [
    10,
    37,
    57,
    111,
    136,
    161,
    171,
    236
   ],
   [
    11,
    20,
    39,
    111,
    130,
    137,
    189,
    229
   ],
   [
    12,
    21,
    40,
    60,
    138,
    174,
    190,
    237
   ],
   [
    13,
    41,
    61,
    124,
    139,
    175,
    186,
    191
   ],
   [
    14,
    18,
    114,
    115,
    137,
    140,
    149,
    239
   ],
   [
    7,
    15,
    45,
    116,
    141,
    152,
    218,
    241
   ],
   [
    16,
    46,
    66,
    117,
    142,
    153,
    162,
    242
   ],
   [
    17,
    28,
    48,
    117,
    133,
    143,
    180,
    221
   ],
   [
    18,
    29,
    49,
    69,
    144,
    165,
    181,
    243
   ],
   [
    19,
    50,
    70,
    125,
    145,
    166,
    182,
    195
   ],
   [
    10,
    20,
    26,
    119,
    146,
    159,
    175,
    244
   ],
   [
    21,
    27,
    72,
    120,
    147,
    160,
    176,
    245
   ],
   [
    12,
    22,
    54,
    120,
    136,
    148,
    178,
    240
   ],
   [
    13,
    23,
    55,
    75,
    149,
    179,
    189,
    246
   ],
   [
    24,
    56,
    76,
    78,
    132,
    150,
    190,
    201
   ],
   [
    13,
    25,
    36,
    57,
    138,
    151,
    207,
    242
   ],
   [
    26,
    37,
    58,
    78,
    139,
    152,
    192,
    208
   ],
   [
    27,
    38,
    59,
    79,
    153,
    193,
    204,
    209
   ],
   [
    16,
    28,
    34,
    122,
    151,
    154,
    166,
    247
   ],
   [
    29,
    35,
    81,
    123,
    152,
    155,
    167,
    248
   ],
   [
    18,
    30,
    63,
    123,
    142,
    156,
    169,
    234
   ],
   [
    19,
    31,
    64,
    84,
    157,
    170,
    180,
    249
   ],
   [
    32,
    65,
    85,
    87,
    129,
    158,
    181,
    210
   ],
   [
    19,
    33,
    45,
    66,
    144,
    159,
    198,
    236
   ],
   [
    34,
    46,
    67,
    87,
    145,
    160,
    183,
    199
   ],
   [
    35,
    47,
    68,
    88,
    161,
    184,
    200,
    213
   ],
   [
    23,
    36,
    43,
    124,
    147,
    162,
    177,
    193
   ],
   [
    24,
    37,
    44,
    90,
    163,
    178,
    194,
    250
   ],
   [
    3,
    38,
    91,
    93,
    141,
    164,
    179,
    216
   ],
   [
    24,
    26,
    39,
    72,
    149,
    165,
    196,
    248
   ],
   [
    27,
    40,
    73,
    93,
    150,
    166,
    197,
    207
   ],
   [
    0,
    41,
    74,
    94,
    143,
    167,
    208,
    219
   ],
   [
    27,
    42,
    54,
    75,
    152,
    168,
    224,
    249
   ],
   [
    0,
    43,
    55,
    76,
    153,
    169,
    210,
    225
   ],
   [
    44,
    56,
    77,
    96,
    126,
    170,
    211,
    226
   ],
   [
    31,
    45,
    52,
    125,
    155,
    168,
    171,
    184
   ],
   [
    32,
    46,
    53,
    98,
    169,
    172,
    185,
    251
   ],
   [
    6,
    47,
    99,
    101,
    135,
    170,
    173,
    224
   ],
   [
    32,
    34,
    48,
    81,
    157,
    174,
    187,
    245
   ],
   [
    35,
    49,
    82,
    101,
    158,
    175,
    188,
    198
   ],
   [
    1,
    50,
    83,
    102,
    137,
    176,
    199,
    227
   ],
   [
    35,
    51,
    63,
    84,
    160,
    177,
    216,
    246
   ],
   [
    1,
    52,
    64,
    85,
    161,
    178,
    201,
    217
   ],
   [
    53,
    65,
    86,
    104,
    127,
    179,
    202,
    218
   ],
   [
    38,
    40,
    54,
    61,
    163,
    180,
    195,
    211
   ],
   [
    41,
    55,
    62,
    106,
    164,
    181,
    196,
    212
   ],
   [
    2,
    11,
    56,
    107,
    156,
    182,
    197,
    232
   ],
   [
    41,
    43,
    57,
    90,
    166,
    183,
    214,
    251
   ],
   [
    2,
    44,
    58,
    91,
    167,
    184,
    215,
    224
   ],
   [
    3,
    59,
    92,
    109,
    128,
    159,
    185,
    225
   ],
   [
    44,
    60,
    72,
    93,
    158,
    169,
    186,
    238
   ],
   [
    3,
    61,
    73,
    94,
    170,
    187,
    227,
    239
   ],
   [
    4,
    62,
    74,
    95,
    129,
    188,
    228,
    240
   ],
   [
    47,
    49,
    63,
    70,
    172,
    186,
    189,
    202
   ],
   [
    50,
    64,
    71,
    112,
    173,
    187,
    190,
    203
   ],
   [
    5,
    17,
    65,
    113,
    148,
    188,
    191,
    238
   ],
   [
    50,
    52,
    66,
    98,
    175,
    192,
    205,
    250
   ],
   [
    5,
    53,
    67,
    99,
    176,
    193,
    206,
    216
   ],
   [
    6,
    68,
    100,
    115,
    131,
    151,
    194,
    217
   ],
   [
    53,
    69,
    81,
    101,
    150,
    178,
    195,
    232
   ],
   [
    6,
    70,
    82,
    102,
    179,
    196,
    219,
    233
   ],
   [
    7,
    71,
    83,
    103,
    132,
    197,
    220,
    234
   ],
   [
    56,
    58,
    72,
    79,
    181,
    198,
    213,
    228
   ],
   [
    8,
    59,
    73,
    80,
    182,
    199,
    214,
    229
   ],
   [
    9,
    25,
    74,
    118,
    134,
    174,
    200,
    215
   ],
   [
    59,
    61,
    75,
    106,
    173,
    184,
    201,
    230
   ],
   [
    9,
    62,
    76,
    107,
    185,
    202,
    231,
    238
   ],
   [
    10,
    11,
    77,
    108,
    135,
    177,
    203,
    239
   ],
   [
    2,
    62,
    78,
    90,
    140,
    176,
    187,
    204
   ],
   [
    11,
    79,
    91,
    109,
    131,
    188,
    205,
    247
   ],
   [
    12,
    80,
    92,
    110,
    137,
    206,
    241,
    248
   ],
   [
    65,
    67,
    81,
    88,
    190,
    204,
    207,
    220
   ],
   [
    14,
    68,
    82,
    89,
    191,
    205,
    208,
    221
   ],
   [
    15,
    33,
    83,
    121,
    140,
    165,
    206,
    209
   ],
   [
    68,
    70,
    84,
    112,
    164,
    193,
    210,
    222
   ],
   [
    15,
    71,
    85,
    113,
    194,
    211,
    223,
    232
   ],
   [
    16,
    17,
    86,
    114,
    141,
    168,
    212,
    233
   ],
   [
    5,
    71,
    87,
    98,
    134,
    167,
    196,
    213
   ],
   [
    17,
    88,
    99,
    115,
    128,
    197,
    214,
    244
   ],
   [
    18,
    89,
    100,
    116,
    143,
    215,
    235,
    245
   ],
   [
    74,
    76,
    90,
    96,
    127,
    199,
    216,
    241
   ],
   [
    20,
    77,
    91,
    97,
    200,
    217,
    230,
    242
   ],
   [
    21,
    22,
    42,
    92,
    146,
    192,
    218,
    231
   ],
   [
    8,
    77,
    79,
    93,
    133,
    191,
    202,
    219
   ],
   [
    22,
    80,
    94,
    118,
    140,
    203,
    220,
    243
   ],
   [
    23,
    25,
    95,
    119,
    148,
    195,
    221,
    247
   ],
   [
    10,
    25,
    96,
    107,
    141,
    155,
    206,
    222
   ],
   [
    26,
    97,
    108,
    120,
    142,
    151,
    223,
    251
   ],
   [
    83,
    85,
    98,
    104,
    126,
    208,
    224,
    235
   ],
   [
    28,
    86,
    99,
    105,
    209,
    222,
    225,
    236
   ],
   [
    29,
    30,
    51,
    100,
    154,
    183,
    223,
    226
   ],
   [
    14,
    86,
    88,
    101,
    130,
    182,
    211,
    227
   ],
   [
    30,
    89,
    102,
    121,
    134,
    212,
    228,
    237
   ],
   [
    31,
    33,
    103,
    122,
    156,
    186,
    229,
    244
   ],
   [
    16,
    33,
    104,
    113,
    135,
    147,
    215,
    230
   ],
   [
    34,
    105,
    114,
    123,
    136,
    159,
    231,
    250
   ],
   [
    4,
    92,
    94,
    106,
    132,
    142,
    217,
    232
   ],
   [
    36,
    95,
    107,
    111,
    133,
    218,
    233,
    249
   ],
   [
    37,
    39,
    60,
    108,
    162,
    210,
    234,
    243
   ],
   [
    21,
    39,
    97,
    109,
    145,
    154,
    221,
    235
   ],
   [
    40,
    42,
    110,
    124,
    155,
    165,
    213,
    236
   ],
   [
    24,
    43,
    111,
    119,
    157,
    168,
    173,
    237
   ],
   [
    7,
    100,
    102,
    112,
    129,
    136,
    225,
    238
   ],
   [
    45,
    103,
    113,
    117,
    130,
    226,
    239,
    246
   ],
   [
    46,
    48,
    69,
    114,
    171,
    201,
    237,
    240
   ],
   [
    29,
    48,
    105,
    115,
    139,
    146,
    229,
    241
   ],
   [
    49,
    51,
    116,
    125,
    147,
    174,
    204,
    242
   ],
   [
    32,
    52,
    117,
    122,
    149,
    164,
    177,
    243
   ],
   [
    13,
    54,
    110,
    118,
    144,
    158,
    234,
    244
   ],
   [
    55,
    57,
    78,
    119,
    145,
    180,
    227,
    245
   ],
   [
    38,
    58,
    60,
    120,
    127,
    172,
    183,
    246
   ],
   [
    19,
    63,
    116,
    121,
    138,
    150,
    240,
    247
   ],
   [
    64,
    66,
    87,
    122,
    139,
    189,
    219,
    248
   ],
   [
    47,
    67,
    69,
    123,
    126,
    163,
    192,
    249
   ],
   [
    0,
    73,
    75,
    124,
    131,
    161,
    198,
    250
   ],
   [
    1,
    82,
    84,
    125,
    128,
    153,
    207,
    251
   ]
  ]
 },
 "distance": {
  "d": 19,
  "X": {
   "value": 19,
   "confidence": "upper_bound",
   "witness": [
    5,
    7,
    17,
    28,
    31,
    33,
    45,
    83,
    99,
    102,
    126,
    134,
    154,
    215,
    224,
    226,
    233,
    235,
    249
   ],
   "witness_provenance": {
    "found_by": [
     "@mathysrennela"
    ],
    "date": "2026-10-12",
    "found_at_samples": 2000,
    "survived_samples": 2000,
    "tool": "research/kit/surrogate.lightest_logical",
    "seeds": [
     1003
    ]
   }
  },
  "Z": {
   "value": 19,
   "confidence": "upper_bound",
   "witness": [
    12,
    24,
    35,
    58,
    74,
    87,
    114,
    121,
    133,
    141,
    159,
    171,
    176,
    177,
    192,
    196,
    209,
    247,
    251
   ],
   "witness_provenance": {
    "found_by": [
     "@mathysrennela"
    ],
    "date": "2026-10-12",
    "found_at_samples": 2000,
    "survived_samples": 2000,
    "tool": "research/kit/surrogate.lightest_logical",
    "seeds": [
     1004
    ]
   }
  }
 },
 "provenance": {
  "authors": [
   "Lee, Gideon"
  ],
  "construction": "Two-block group-algebra code C(a,b) over C126 = SmallGroup(126, 6) (order 126), elements numbered as in GAP Elements(SmallGroup(order,id)) with element 0 the identity. n = 2|G| = 252; H_X = [L(a)|R(b)], H_Z = [R(b)^T|L(a)^T]; a = {0, 28, 68, 79}, b = {0, 9, 80, 106} as element indices. Check weight 8. 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"
}