{
 "schema_version": "0.1",
 "name": "[[254,14,16]]",
 "code_type": "CSS",
 "n": 254,
 "k": 14,
 "checks": {
  "X": [
   [
    11,
    51,
    63,
    164,
    220,
    249
   ],
   [
    12,
    52,
    64,
    165,
    221,
    250
   ],
   [
    13,
    53,
    65,
    166,
    222,
    251
   ],
   [
    14,
    54,
    66,
    167,
    223,
    252
   ],
   [
    15,
    55,
    67,
    168,
    224,
    253
   ],
   [
    16,
    56,
    68,
    127,
    169,
    225
   ],
   [
    17,
    57,
    69,
    128,
    170,
    226
   ],
   [
    18,
    58,
    70,
    129,
    171,
    227
   ],
   [
    19,
    59,
    71,
    130,
    172,
    228
   ],
   [
    20,
    60,
    72,
    131,
    173,
    229
   ],
   [
    21,
    61,
    73,
    132,
    174,
    230
   ],
   [
    22,
    62,
    74,
    133,
    175,
    231
   ],
   [
    23,
    63,
    75,
    134,
    176,
    232
   ],
   [
    24,
    64,
    76,
    135,
    177,
    233
   ],
   [
    25,
    65,
    77,
    136,
    178,
    234
   ],
   [
    26,
    66,
    78,
    137,
    179,
    235
   ],
   [
    27,
    67,
    79,
    138,
    180,
    236
   ],
   [
    28,
    68,
    80,
    139,
    181,
    237
   ],
   [
    29,
    69,
    81,
    140,
    182,
    238
   ],
   [
    30,
    70,
    82,
    141,
    183,
    239
   ],
   [
    31,
    71,
    83,
    142,
    184,
    240
   ],
   [
    32,
    72,
    84,
    143,
    185,
    241
   ],
   [
    33,
    73,
    85,
    144,
    186,
    242
   ],
   [
    34,
    74,
    86,
    145,
    187,
    243
   ],
   [
    35,
    75,
    87,
    146,
    188,
    244
   ],
   [
    36,
    76,
    88,
    147,
    189,
    245
   ],
   [
    37,
    77,
    89,
    148,
    190,
    246
   ],
   [
    38,
    78,
    90,
    149,
    191,
    247
   ],
   [
    39,
    79,
    91,
    150,
    192,
    248
   ],
   [
    40,
    80,
    92,
    151,
    193,
    249
   ],
   [
    41,
    81,
    93,
    152,
    194,
    250
   ],
   [
    42,
    82,
    94,
    153,
    195,
    251
   ],
   [
    43,
    83,
    95,
    154,
    196,
    252
   ],
   [
    44,
    84,
    96,
    155,
    197,
    253
   ],
   [
    45,
    85,
    97,
    127,
    156,
    198
   ],
   [
    46,
    86,
    98,
    128,
    157,
    199
   ],
   [
    47,
    87,
    99,
    129,
    158,
    200
   ],
   [
    48,
    88,
    100,
    130,
    159,
    201
   ],
   [
    49,
    89,
    101,
    131,
    160,
    202
   ],
   [
    50,
    90,
    102,
    132,
    161,
    203
   ],
   [
    51,
    91,
    103,
    133,
    162,
    204
   ],
   [
    52,
    92,
    104,
    134,
    163,
    205
   ],
   [
    53,
    93,
    105,
    135,
    164,
    206
   ],
   [
    54,
    94,
    106,
    136,
    165,
    207
   ],
   [
    55,
    95,
    107,
    137,
    166,
    208
   ],
   [
    56,
    96,
    108,
    138,
    167,
    209
   ],
   [
    57,
    97,
    109,
    139,
    168,
    210
   ],
   [
    58,
    98,
    110,
    140,
    169,
    211
   ],
   [
    59,
    99,
    111,
    141,
    170,
    212
   ],
   [
    60,
    100,
    112,
    142,
    171,
    213
   ],
   [
    61,
    101,
    113,
    143,
    172,
    214
   ],
   [
    62,
    102,
    114,
    144,
    173,
    215
   ],
   [
    63,
    103,
    115,
    145,
    174,
    216
   ],
   [
    64,
    104,
    116,
    146,
    175,
    217
   ],
   [
    65,
    105,
    117,
    147,
    176,
    218
   ],
   [
    66,
    106,
    118,
    148,
    177,
    219
   ],
   [
    67,
    107,
    119,
    149,
    178,
    220
   ],
   [
    68,
    108,
    120,
    150,
    179,
    221
   ],
   [
    69,
    109,
    121,
    151,
    180,
    222
   ],
   [
    70,
    110,
    122,
    152,
    181,
    223
   ],
   [
    71,
    111,
    123,
    153,
    182,
    224
   ],
   [
    72,
    112,
    124,
    154,
    183,
    225
   ],
   [
    73,
    113,
    125,
    155,
    184,
    226
   ],
   [
    74,
    114,
    126,
    156,
    185,
    227
   ],
   [
    0,
    75,
    115,
    157,
    186,
    228
   ],
   [
    1,
    76,
    116,
    158,
    187,
    229
   ],
   [
    2,
    77,
    117,
    159,
    188,
    230
   ],
   [
    3,
    78,
    118,
    160,
    189,
    231
   ],
   [
    4,
    79,
    119,
    161,
    190,
    232
   ],
   [
    5,
    80,
    120,
    162,
    191,
    233
   ],
   [
    6,
    81,
    121,
    163,
    192,
    234
   ],
   [
    7,
    82,
    122,
    164,
    193,
    235
   ],
   [
    8,
    83,
    123,
    165,
    194,
    236
   ],
   [
    9,
    84,
    124,
    166,
    195,
    237
   ],
   [
    10,
    85,
    125,
    167,
    196,
    238
   ],
   [
    11,
    86,
    126,
    168,
    197,
    239
   ],
   [
    0,
    12,
    87,
    169,
    198,
    240
   ],
   [
    1,
    13,
    88,
    170,
    199,
    241
   ],
   [
    2,
    14,
    89,
    171,
    200,
    242
   ],
   [
    3,
    15,
    90,
    172,
    201,
    243
   ],
   [
    4,
    16,
    91,
    173,
    202,
    244
   ],
   [
    5,
    17,
    92,
    174,
    203,
    245
   ],
   [
    6,
    18,
    93,
    175,
    204,
    246
   ],
   [
    7,
    19,
    94,
    176,
    205,
    247
   ],
   [
    8,
    20,
    95,
    177,
    206,
    248
   ],
   [
    9,
    21,
    96,
    178,
    207,
    249
   ],
   [
    10,
    22,
    97,
    179,
    208,
    250
   ],
   [
    11,
    23,
    98,
    180,
    209,
    251
   ],
   [
    12,
    24,
    99,
    181,
    210,
    252
   ],
   [
    13,
    25,
    100,
    182,
    211,
    253
   ],
   [
    14,
    26,
    101,
    127,
    183,
    212
   ],
   [
    15,
    27,
    102,
    128,
    184,
    213
   ],
   [
    16,
    28,
    103,
    129,
    185,
    214
   ],
   [
    17,
    29,
    104,
    130,
    186,
    215
   ],
   [
    18,
    30,
    105,
    131,
    187,
    216
   ],
   [
    19,
    31,
    106,
    132,
    188,
    217
   ],
   [
    20,
    32,
    107,
    133,
    189,
    218
   ],
   [
    21,
    33,
    108,
    134,
    190,
    219
   ],
   [
    22,
    34,
    109,
    135,
    191,
    220
   ],
   [
    23,
    35,
    110,
    136,
    192,
    221
   ],
   [
    24,
    36,
    111,
    137,
    193,
    222
   ],
   [
    25,
    37,
    112,
    138,
    194,
    223
   ],
   [
    26,
    38,
    113,
    139,
    195,
    224
   ],
   [
    27,
    39,
    114,
    140,
    196,
    225
   ],
   [
    28,
    40,
    115,
    141,
    197,
    226
   ],
   [
    29,
    41,
    116,
    142,
    198,
    227
   ],
   [
    30,
    42,
    117,
    143,
    199,
    228
   ],
   [
    31,
    43,
    118,
    144,
    200,
    229
   ],
   [
    32,
    44,
    119,
    145,
    201,
    230
   ],
   [
    33,
    45,
    120,
    146,
    202,
    231
   ],
   [
    34,
    46,
    121,
    147,
    203,
    232
   ],
   [
    35,
    47,
    122,
    148,
    204,
    233
   ],
   [
    36,
    48,
    123,
    149,
    205,
    234
   ],
   [
    37,
    49,
    124,
    150,
    206,
    235
   ],
   [
    38,
    50,
    125,
    151,
    207,
    236
   ],
   [
    39,
    51,
    126,
    152,
    208,
    237
   ],
   [
    0,
    40,
    52,
    153,
    209,
    238
   ],
   [
    1,
    41,
    53,
    154,
    210,
    239
   ],
   [
    2,
    42,
    54,
    155,
    211,
    240
   ],
   [
    3,
    43,
    55,
    156,
    212,
    241
   ],
   [
    4,
    44,
    56,
    157,
    213,
    242
   ],
   [
    5,
    45,
    57,
    158,
    214,
    243
   ],
   [
    6,
    46,
    58,
    159,
    215,
    244
   ],
   [
    7,
    47,
    59,
    160,
    216,
    245
   ],
   [
    8,
    48,
    60,
    161,
    217,
    246
   ],
   [
    9,
    49,
    61,
    162,
    218,
    247
   ],
   [
    10,
    50,
    62,
    163,
    219,
    248
   ]
  ],
  "Z": [
   [
    5,
    34,
    90,
    191,
    203,
    243
   ],
   [
    6,
    35,
    91,
    192,
    204,
    244
   ],
   [
    7,
    36,
    92,
    193,
    205,
    245
   ],
   [
    8,
    37,
    93,
    194,
    206,
    246
   ],
   [
    9,
    38,
    94,
    195,
    207,
    247
   ],
   [
    10,
    39,
    95,
    196,
    208,
    248
   ],
   [
    11,
    40,
    96,
    197,
    209,
    249
   ],
   [
    12,
    41,
    97,
    198,
    210,
    250
   ],
   [
    13,
    42,
    98,
    199,
    211,
    251
   ],
   [
    14,
    43,
    99,
    200,
    212,
    252
   ],
   [
    15,
    44,
    100,
    201,
    213,
    253
   ],
   [
    16,
    45,
    101,
    127,
    202,
    214
   ],
   [
    17,
    46,
    102,
    128,
    203,
    215
   ],
   [
    18,
    47,
    103,
    129,
    204,
    216
   ],
   [
    19,
    48,
    104,
    130,
    205,
    217
   ],
   [
    20,
    49,
    105,
    131,
    206,
    218
   ],
   [
    21,
    50,
    106,
    132,
    207,
    219
   ],
   [
    22,
    51,
    107,
    133,
    208,
    220
   ],
   [
    23,
    52,
    108,
    134,
    209,
    221
   ],
   [
    24,
    53,
    109,
    135,
    210,
    222
   ],
   [
    25,
    54,
    110,
    136,
    211,
    223
   ],
   [
    26,
    55,
    111,
    137,
    212,
    224
   ],
   [
    27,
    56,
    112,
    138,
    213,
    225
   ],
   [
    28,
    57,
    113,
    139,
    214,
    226
   ],
   [
    29,
    58,
    114,
    140,
    215,
    227
   ],
   [
    30,
    59,
    115,
    141,
    216,
    228
   ],
   [
    31,
    60,
    116,
    142,
    217,
    229
   ],
   [
    32,
    61,
    117,
    143,
    218,
    230
   ],
   [
    33,
    62,
    118,
    144,
    219,
    231
   ],
   [
    34,
    63,
    119,
    145,
    220,
    232
   ],
   [
    35,
    64,
    120,
    146,
    221,
    233
   ],
   [
    36,
    65,
    121,
    147,
    222,
    234
   ],
   [
    37,
    66,
    122,
    148,
    223,
    235
   ],
   [
    38,
    67,
    123,
    149,
    224,
    236
   ],
   [
    39,
    68,
    124,
    150,
    225,
    237
   ],
   [
    40,
    69,
    125,
    151,
    226,
    238
   ],
   [
    41,
    70,
    126,
    152,
    227,
    239
   ],
   [
    0,
    42,
    71,
    153,
    228,
    240
   ],
   [
    1,
    43,
    72,
    154,
    229,
    241
   ],
   [
    2,
    44,
    73,
    155,
    230,
    242
   ],
   [
    3,
    45,
    74,
    156,
    231,
    243
   ],
   [
    4,
    46,
    75,
    157,
    232,
    244
   ],
   [
    5,
    47,
    76,
    158,
    233,
    245
   ],
   [
    6,
    48,
    77,
    159,
    234,
    246
   ],
   [
    7,
    49,
    78,
    160,
    235,
    247
   ],
   [
    8,
    50,
    79,
    161,
    236,
    248
   ],
   [
    9,
    51,
    80,
    162,
    237,
    249
   ],
   [
    10,
    52,
    81,
    163,
    238,
    250
   ],
   [
    11,
    53,
    82,
    164,
    239,
    251
   ],
   [
    12,
    54,
    83,
    165,
    240,
    252
   ],
   [
    13,
    55,
    84,
    166,
    241,
    253
   ],
   [
    14,
    56,
    85,
    127,
    167,
    242
   ],
   [
    15,
    57,
    86,
    128,
    168,
    243
   ],
   [
    16,
    58,
    87,
    129,
    169,
    244
   ],
   [
    17,
    59,
    88,
    130,
    170,
    245
   ],
   [
    18,
    60,
    89,
    131,
    171,
    246
   ],
   [
    19,
    61,
    90,
    132,
    172,
    247
   ],
   [
    20,
    62,
    91,
    133,
    173,
    248
   ],
   [
    21,
    63,
    92,
    134,
    174,
    249
   ],
   [
    22,
    64,
    93,
    135,
    175,
    250
   ],
   [
    23,
    65,
    94,
    136,
    176,
    251
   ],
   [
    24,
    66,
    95,
    137,
    177,
    252
   ],
   [
    25,
    67,
    96,
    138,
    178,
    253
   ],
   [
    26,
    68,
    97,
    127,
    139,
    179
   ],
   [
    27,
    69,
    98,
    128,
    140,
    180
   ],
   [
    28,
    70,
    99,
    129,
    141,
    181
   ],
   [
    29,
    71,
    100,
    130,
    142,
    182
   ],
   [
    30,
    72,
    101,
    131,
    143,
    183
   ],
   [
    31,
    73,
    102,
    132,
    144,
    184
   ],
   [
    32,
    74,
    103,
    133,
    145,
    185
   ],
   [
    33,
    75,
    104,
    134,
    146,
    186
   ],
   [
    34,
    76,
    105,
    135,
    147,
    187
   ],
   [
    35,
    77,
    106,
    136,
    148,
    188
   ],
   [
    36,
    78,
    107,
    137,
    149,
    189
   ],
   [
    37,
    79,
    108,
    138,
    150,
    190
   ],
   [
    38,
    80,
    109,
    139,
    151,
    191
   ],
   [
    39,
    81,
    110,
    140,
    152,
    192
   ],
   [
    40,
    82,
    111,
    141,
    153,
    193
   ],
   [
    41,
    83,
    112,
    142,
    154,
    194
   ],
   [
    42,
    84,
    113,
    143,
    155,
    195
   ],
   [
    43,
    85,
    114,
    144,
    156,
    196
   ],
   [
    44,
    86,
    115,
    145,
    157,
    197
   ],
   [
    45,
    87,
    116,
    146,
    158,
    198
   ],
   [
    46,
    88,
    117,
    147,
    159,
    199
   ],
   [
    47,
    89,
    118,
    148,
    160,
    200
   ],
   [
    48,
    90,
    119,
    149,
    161,
    201
   ],
   [
    49,
    91,
    120,
    150,
    162,
    202
   ],
   [
    50,
    92,
    121,
    151,
    163,
    203
   ],
   [
    51,
    93,
    122,
    152,
    164,
    204
   ],
   [
    52,
    94,
    123,
    153,
    165,
    205
   ],
   [
    53,
    95,
    124,
    154,
    166,
    206
   ],
   [
    54,
    96,
    125,
    155,
    167,
    207
   ],
   [
    55,
    97,
    126,
    156,
    168,
    208
   ],
   [
    0,
    56,
    98,
    157,
    169,
    209
   ],
   [
    1,
    57,
    99,
    158,
    170,
    210
   ],
   [
    2,
    58,
    100,
    159,
    171,
    211
   ],
   [
    3,
    59,
    101,
    160,
    172,
    212
   ],
   [
    4,
    60,
    102,
    161,
    173,
    213
   ],
   [
    5,
    61,
    103,
    162,
    174,
    214
   ],
   [
    6,
    62,
    104,
    163,
    175,
    215
   ],
   [
    7,
    63,
    105,
    164,
    176,
    216
   ],
   [
    8,
    64,
    106,
    165,
    177,
    217
   ],
   [
    9,
    65,
    107,
    166,
    178,
    218
   ],
   [
    10,
    66,
    108,
    167,
    179,
    219
   ],
   [
    11,
    67,
    109,
    168,
    180,
    220
   ],
   [
    12,
    68,
    110,
    169,
    181,
    221
   ],
   [
    13,
    69,
    111,
    170,
    182,
    222
   ],
   [
    14,
    70,
    112,
    171,
    183,
    223
   ],
   [
    15,
    71,
    113,
    172,
    184,
    224
   ],
   [
    16,
    72,
    114,
    173,
    185,
    225
   ],
   [
    17,
    73,
    115,
    174,
    186,
    226
   ],
   [
    18,
    74,
    116,
    175,
    187,
    227
   ],
   [
    19,
    75,
    117,
    176,
    188,
    228
   ],
   [
    20,
    76,
    118,
    177,
    189,
    229
   ],
   [
    21,
    77,
    119,
    178,
    190,
    230
   ],
   [
    22,
    78,
    120,
    179,
    191,
    231
   ],
   [
    23,
    79,
    121,
    180,
    192,
    232
   ],
   [
    24,
    80,
    122,
    181,
    193,
    233
   ],
   [
    25,
    81,
    123,
    182,
    194,
    234
   ],
   [
    26,
    82,
    124,
    183,
    195,
    235
   ],
   [
    27,
    83,
    125,
    184,
    196,
    236
   ],
   [
    28,
    84,
    126,
    185,
    197,
    237
   ],
   [
    0,
    29,
    85,
    186,
    198,
    238
   ],
   [
    1,
    30,
    86,
    187,
    199,
    239
   ],
   [
    2,
    31,
    87,
    188,
    200,
    240
   ],
   [
    3,
    32,
    88,
    189,
    201,
    241
   ],
   [
    4,
    33,
    89,
    190,
    202,
    242
   ]
  ]
 },
 "distance": {
  "d": 16,
  "X": {
   "value": 16,
   "confidence": "upper_bound",
   "witness": [
    1,
    2,
    15,
    31,
    71,
    73,
    86,
    99,
    100,
    115,
    141,
    153,
    165,
    177,
    229,
    252
   ]
  },
  "Z": {
   "value": 16,
   "confidence": "upper_bound",
   "witness": [
    0,
    12,
    24,
    28,
    52,
    80,
    103,
    115,
    135,
    149,
    162,
    164,
    193,
    205,
    220,
    247
   ]
  }
 },
 "provenance": {
  "authors": [
   "@mathysrennela"
  ],
  "construction": "Generalized bicycle (two-block) code on Z_127: H_X=[A|B], H_Z=[B^T|A^T], a(x)=x^11+x^51+x^63, b(x)=x^37+x^93+x^122; k=2*deg(gcd)<=14 at w<=6",
  "origin": "submission",
  "date": "2026-08-15",
  "references": [
   "arXiv:2111.03654",
   "arXiv:2306.16400"
  ]
 },
 "family": "generalized-bicycle"
}
