{
 "schema_version": "0.2",
 "name": "[[318,4,26]] twisted-torus BB code (arXiv:2503.03827)",
 "code_type": "CSS",
 "n": 318,
 "k": 4,
 "checks": {
  "X": [
   [
    0,
    1,
    121,
    159,
    161,
    257
   ],
   [
    1,
    3,
    129,
    160,
    163,
    265
   ],
   [
    2,
    4,
    130,
    161,
    164,
    266
   ],
   [
    3,
    6,
    136,
    162,
    166,
    273
   ],
   [
    4,
    7,
    137,
    163,
    167,
    274
   ],
   [
    5,
    8,
    138,
    164,
    168,
    275
   ],
   [
    6,
    10,
    142,
    165,
    170,
    281
   ],
   [
    7,
    11,
    143,
    166,
    171,
    282
   ],
   [
    8,
    12,
    144,
    167,
    172,
    283
   ],
   [
    9,
    13,
    145,
    168,
    173,
    284
   ],
   [
    10,
    15,
    147,
    169,
    175,
    289
   ],
   [
    11,
    16,
    148,
    170,
    176,
    290
   ],
   [
    12,
    17,
    149,
    171,
    177,
    291
   ],
   [
    13,
    18,
    150,
    159,
    172,
    178
   ],
   [
    6,
    14,
    19,
    173,
    179,
    292
   ],
   [
    15,
    21,
    140,
    174,
    181,
    296
   ],
   [
    16,
    22,
    152,
    175,
    182,
    297
   ],
   [
    17,
    23,
    153,
    176,
    183,
    298
   ],
   [
    18,
    24,
    154,
    160,
    177,
    184
   ],
   [
    10,
    19,
    25,
    161,
    178,
    185
   ],
   [
    11,
    20,
    26,
    179,
    186,
    299
   ],
   [
    5,
    21,
    28,
    180,
    188,
    302
   ],
   [
    22,
    29,
    146,
    181,
    189,
    303
   ],
   [
    23,
    30,
    156,
    182,
    190,
    304
   ],
   [
    24,
    31,
    157,
    162,
    183,
    191
   ],
   [
    15,
    25,
    32,
    163,
    184,
    192
   ],
   [
    16,
    26,
    33,
    164,
    185,
    193
   ],
   [
    17,
    27,
    34,
    186,
    194,
    305
   ],
   [
    8,
    28,
    36,
    187,
    196,
    307
   ],
   [
    9,
    29,
    37,
    188,
    197,
    308
   ],
   [
    30,
    38,
    151,
    189,
    198,
    309
   ],
   [
    31,
    39,
    158,
    165,
    190,
    199
   ],
   [
    21,
    32,
    40,
    166,
    191,
    200
   ],
   [
    22,
    33,
    41,
    167,
    192,
    201
   ],
   [
    23,
    34,
    42,
    168,
    193,
    202
   ],
   [
    24,
    35,
    43,
    194,
    203,
    310
   ],
   [
    12,
    27,
    36,
    195,
    204,
    311
   ],
   [
    13,
    37,
    45,
    196,
    205,
    312
   ],
   [
    14,
    38,
    46,
    197,
    206,
    313
   ],
   [
    39,
    47,
    155,
    169,
    198,
    207
   ],
   [
    28,
    40,
    48,
    170,
    199,
    208
   ],
   [
    29,
    41,
    49,
    171,
    200,
    209
   ],
   [
    30,
    42,
    50,
    172,
    201,
    210
   ],
   [
    31,
    43,
    51,
    173,
    202,
    211
   ],
   [
    32,
    44,
    52,
    203,
    212,
    314
   ],
   [
    18,
    35,
    45,
    204,
    213,
    315
   ],
   [
    19,
    46,
    54,
    205,
    214,
    316
   ],
   [
    20,
    47,
    55,
    174,
    206,
    215
   ],
   [
    36,
    48,
    56,
    175,
    207,
    216
   ],
   [
    37,
    49,
    57,
    176,
    208,
    217
   ],
   [
    38,
    50,
    58,
    177,
    209,
    218
   ],
   [
    39,
    51,
    59,
    178,
    210,
    219
   ],
   [
    40,
    52,
    60,
    179,
    211,
    220
   ],
   [
    41,
    53,
    61,
    195,
    212,
    221
   ],
   [
    25,
    44,
    54,
    213,
    222,
    317
   ],
   [
    26,
    55,
    63,
    180,
    214,
    223
   ],
   [
    27,
    56,
    64,
    181,
    215,
    224
   ],
   [
    45,
    57,
    65,
    182,
    216,
    225
   ],
   [
    46,
    58,
    66,
    183,
    217,
    226
   ],
   [
    47,
    59,
    67,
    184,
    218,
    227
   ],
   [
    48,
    60,
    68,
    185,
    219,
    228
   ],
   [
    49,
    61,
    69,
    186,
    220,
    229
   ],
   [
    50,
    62,
    70,
    204,
    221,
    230
   ],
   [
    33,
    53,
    63,
    187,
    222,
    231
   ],
   [
    34,
    64,
    72,
    188,
    223,
    232
   ],
   [
    35,
    65,
    73,
    189,
    224,
    233
   ],
   [
    54,
    66,
    74,
    190,
    225,
    234
   ],
   [
    55,
    67,
    75,
    191,
    226,
    235
   ],
   [
    56,
    68,
    76,
    192,
    227,
    236
   ],
   [
    57,
    69,
    77,
    193,
    228,
    237
   ],
   [
    58,
    70,
    78,
    194,
    229,
    238
   ],
   [
    59,
    71,
    79,
    213,
    230,
    239
   ],
   [
    42,
    62,
    72,
    196,
    231,
    240
   ],
   [
    43,
    73,
    81,
    197,
    232,
    241
   ],
   [
    44,
    74,
    82,
    198,
    233,
    242
   ],
   [
    63,
    75,
    83,
    199,
    234,
    243
   ],
   [
    64,
    76,
    84,
    200,
    235,
    244
   ],
   [
    65,
    77,
    85,
    201,
    236,
    245
   ],
   [
    66,
    78,
    86,
    202,
    237,
    246
   ],
   [
    67,
    79,
    87,
    203,
    238,
    247
   ],
   [
    68,
    80,
    88,
    222,
    239,
    248
   ],
   [
    51,
    71,
    81,
    205,
    240,
    249
   ],
   [
    52,
    82,
    90,
    206,
    241,
    250
   ],
   [
    53,
    83,
    91,
    207,
    242,
    251
   ],
   [
    72,
    84,
    92,
    208,
    243,
    252
   ],
   [
    73,
    85,
    93,
    209,
    244,
    253
   ],
   [
    74,
    86,
    94,
    210,
    245,
    254
   ],
   [
    75,
    87,
    95,
    211,
    246,
    255
   ],
   [
    76,
    88,
    96,
    212,
    247,
    256
   ],
   [
    77,
    89,
    97,
    231,
    248,
    257
   ],
   [
    60,
    80,
    90,
    214,
    249,
    258
   ],
   [
    61,
    91,
    99,
    215,
    250,
    259
   ],
   [
    62,
    92,
    100,
    216,
    251,
    260
   ],
   [
    81,
    93,
    101,
    217,
    252,
    261
   ],
   [
    82,
    94,
    102,
    218,
    253,
    262
   ],
   [
    83,
    95,
    103,
    219,
    254,
    263
   ],
   [
    84,
    96,
    104,
    220,
    255,
    264
   ],
   [
    85,
    97,
    105,
    221,
    256,
    265
   ],
   [
    86,
    98,
    106,
    240,
    257,
    266
   ],
   [
    69,
    89,
    99,
    223,
    258,
    267
   ],
   [
    70,
    100,
    108,
    224,
    259,
    268
   ],
   [
    71,
    101,
    109,
    225,
    260,
    269
   ],
   [
    90,
    102,
    110,
    226,
    261,
    270
   ],
   [
    91,
    103,
    111,
    227,
    262,
    271
   ],
   [
    92,
    104,
    112,
    228,
    263,
    272
   ],
   [
    93,
    105,
    113,
    229,
    264,
    273
   ],
   [
    94,
    106,
    114,
    230,
    265,
    274
   ],
   [
    95,
    107,
    115,
    249,
    266,
    275
   ],
   [
    78,
    98,
    108,
    232,
    267,
    276
   ],
   [
    79,
    109,
    117,
    233,
    268,
    277
   ],
   [
    80,
    110,
    118,
    234,
    269,
    278
   ],
   [
    99,
    111,
    119,
    235,
    270,
    279
   ],
   [
    100,
    112,
    120,
    236,
    271,
    280
   ],
   [
    101,
    113,
    121,
    237,
    272,
    281
   ],
   [
    102,
    114,
    122,
    238,
    273,
    282
   ],
   [
    103,
    115,
    123,
    239,
    274,
    283
   ],
   [
    104,
    116,
    124,
    258,
    275,
    284
   ],
   [
    87,
    107,
    117,
    241,
    276,
    285
   ],
   [
    88,
    118,
    126,
    242,
    277,
    286
   ],
   [
    89,
    119,
    127,
    243,
    278,
    287
   ],
   [
    108,
    120,
    128,
    244,
    279,
    288
   ],
   [
    109,
    121,
    129,
    245,
    280,
    289
   ],
   [
    110,
    122,
    130,
    246,
    281,
    290
   ],
   [
    111,
    123,
    131,
    247,
    282,
    291
   ],
   [
    112,
    124,
    132,
    159,
    248,
    283
   ],
   [
    0,
    113,
    125,
    267,
    284,
    292
   ],
   [
    96,
    116,
    126,
    250,
    285,
    293
   ],
   [
    97,
    127,
    134,
    251,
    286,
    294
   ],
   [
    98,
    128,
    135,
    252,
    287,
    295
   ],
   [
    117,
    129,
    136,
    253,
    288,
    296
   ],
   [
    118,
    130,
    137,
    254,
    289,
    297
   ],
   [
    119,
    131,
    138,
    255,
    290,
    298
   ],
   [
    120,
    132,
    139,
    160,
    256,
    291
   ],
   [
    2,
    122,
    133,
    276,
    292,
    299
   ],
   [
    105,
    125,
    134,
    259,
    293,
    300
   ],
   [
    106,
    135,
    141,
    260,
    294,
    301
   ],
   [
    107,
    136,
    142,
    261,
    295,
    302
   ],
   [
    126,
    137,
    143,
    262,
    296,
    303
   ],
   [
    127,
    138,
    144,
    263,
    297,
    304
   ],
   [
    128,
    139,
    145,
    162,
    264,
    298
   ],
   [
    5,
    131,
    140,
    285,
    299,
    305
   ],
   [
    114,
    133,
    141,
    268,
    300,
    306
   ],
   [
    115,
    142,
    147,
    269,
    301,
    307
   ],
   [
    116,
    143,
    148,
    270,
    302,
    308
   ],
   [
    134,
    144,
    149,
    271,
    303,
    309
   ],
   [
    135,
    145,
    150,
    165,
    272,
    304
   ],
   [
    9,
    139,
    146,
    293,
    305,
    310
   ],
   [
    123,
    140,
    147,
    277,
    306,
    311
   ],
   [
    124,
    148,
    152,
    278,
    307,
    312
   ],
   [
    125,
    149,
    153,
    279,
    308,
    313
   ],
   [
    141,
    150,
    154,
    169,
    280,
    309
   ],
   [
    3,
    14,
    151,
    300,
    310,
    314
   ],
   [
    132,
    146,
    152,
    286,
    311,
    315
   ],
   [
    0,
    153,
    156,
    287,
    312,
    316
   ],
   [
    133,
    154,
    157,
    174,
    288,
    313
   ],
   [
    7,
    20,
    155,
    195,
    306,
    314
   ],
   [
    1,
    151,
    156,
    294,
    315,
    317
   ],
   [
    2,
    157,
    158,
    180,
    295,
    316
   ],
   [
    4,
    155,
    158,
    187,
    301,
    317
   ]
  ],
  "Z": [
   [
    0,
    13,
    124,
    159,
    284,
    312
   ],
   [
    1,
    18,
    132,
    159,
    160,
    315
   ],
   [
    0,
    2,
    19,
    161,
    292,
    316
   ],
   [
    3,
    24,
    139,
    160,
    162,
    310
   ],
   [
    1,
    4,
    25,
    161,
    163,
    317
   ],
   [
    2,
    5,
    26,
    164,
    180,
    299
   ],
   [
    6,
    31,
    145,
    162,
    165,
    173
   ],
   [
    3,
    7,
    32,
    163,
    166,
    314
   ],
   [
    4,
    8,
    33,
    164,
    167,
    187
   ],
   [
    5,
    9,
    34,
    168,
    188,
    305
   ],
   [
    10,
    39,
    150,
    165,
    169,
    178
   ],
   [
    6,
    11,
    40,
    166,
    170,
    179
   ],
   [
    7,
    12,
    41,
    167,
    171,
    195
   ],
   [
    8,
    13,
    42,
    168,
    172,
    196
   ],
   [
    9,
    14,
    43,
    173,
    197,
    310
   ],
   [
    15,
    47,
    154,
    169,
    174,
    184
   ],
   [
    10,
    16,
    48,
    170,
    175,
    185
   ],
   [
    11,
    17,
    49,
    171,
    176,
    186
   ],
   [
    12,
    18,
    50,
    172,
    177,
    204
   ],
   [
    13,
    19,
    51,
    173,
    178,
    205
   ],
   [
    14,
    20,
    52,
    179,
    206,
    314
   ],
   [
    21,
    55,
    157,
    174,
    180,
    191
   ],
   [
    15,
    22,
    56,
    175,
    181,
    192
   ],
   [
    16,
    23,
    57,
    176,
    182,
    193
   ],
   [
    17,
    24,
    58,
    177,
    183,
    194
   ],
   [
    18,
    25,
    59,
    178,
    184,
    213
   ],
   [
    19,
    26,
    60,
    179,
    185,
    214
   ],
   [
    20,
    27,
    61,
    186,
    195,
    215
   ],
   [
    28,
    63,
    158,
    180,
    187,
    199
   ],
   [
    21,
    29,
    64,
    181,
    188,
    200
   ],
   [
    22,
    30,
    65,
    182,
    189,
    201
   ],
   [
    23,
    31,
    66,
    183,
    190,
    202
   ],
   [
    24,
    32,
    67,
    184,
    191,
    203
   ],
   [
    25,
    33,
    68,
    185,
    192,
    222
   ],
   [
    26,
    34,
    69,
    186,
    193,
    223
   ],
   [
    27,
    35,
    70,
    194,
    204,
    224
   ],
   [
    36,
    53,
    155,
    187,
    195,
    207
   ],
   [
    28,
    37,
    72,
    188,
    196,
    208
   ],
   [
    29,
    38,
    73,
    189,
    197,
    209
   ],
   [
    30,
    39,
    74,
    190,
    198,
    210
   ],
   [
    31,
    40,
    75,
    191,
    199,
    211
   ],
   [
    32,
    41,
    76,
    192,
    200,
    212
   ],
   [
    33,
    42,
    77,
    193,
    201,
    231
   ],
   [
    34,
    43,
    78,
    194,
    202,
    232
   ],
   [
    35,
    44,
    79,
    203,
    213,
    233
   ],
   [
    36,
    45,
    62,
    196,
    204,
    216
   ],
   [
    37,
    46,
    81,
    197,
    205,
    217
   ],
   [
    38,
    47,
    82,
    198,
    206,
    218
   ],
   [
    39,
    48,
    83,
    199,
    207,
    219
   ],
   [
    40,
    49,
    84,
    200,
    208,
    220
   ],
   [
    41,
    50,
    85,
    201,
    209,
    221
   ],
   [
    42,
    51,
    86,
    202,
    210,
    240
   ],
   [
    43,
    52,
    87,
    203,
    211,
    241
   ],
   [
    44,
    53,
    88,
    212,
    222,
    242
   ],
   [
    45,
    54,
    71,
    205,
    213,
    225
   ],
   [
    46,
    55,
    90,
    206,
    214,
    226
   ],
   [
    47,
    56,
    91,
    207,
    215,
    227
   ],
   [
    48,
    57,
    92,
    208,
    216,
    228
   ],
   [
    49,
    58,
    93,
    209,
    217,
    229
   ],
   [
    50,
    59,
    94,
    210,
    218,
    230
   ],
   [
    51,
    60,
    95,
    211,
    219,
    249
   ],
   [
    52,
    61,
    96,
    212,
    220,
    250
   ],
   [
    53,
    62,
    97,
    221,
    231,
    251
   ],
   [
    54,
    63,
    80,
    214,
    222,
    234
   ],
   [
    55,
    64,
    99,
    215,
    223,
    235
   ],
   [
    56,
    65,
    100,
    216,
    224,
    236
   ],
   [
    57,
    66,
    101,
    217,
    225,
    237
   ],
   [
    58,
    67,
    102,
    218,
    226,
    238
   ],
   [
    59,
    68,
    103,
    219,
    227,
    239
   ],
   [
    60,
    69,
    104,
    220,
    228,
    258
   ],
   [
    61,
    70,
    105,
    221,
    229,
    259
   ],
   [
    62,
    71,
    106,
    230,
    240,
    260
   ],
   [
    63,
    72,
    89,
    223,
    231,
    243
   ],
   [
    64,
    73,
    108,
    224,
    232,
    244
   ],
   [
    65,
    74,
    109,
    225,
    233,
    245
   ],
   [
    66,
    75,
    110,
    226,
    234,
    246
   ],
   [
    67,
    76,
    111,
    227,
    235,
    247
   ],
   [
    68,
    77,
    112,
    228,
    236,
    248
   ],
   [
    69,
    78,
    113,
    229,
    237,
    267
   ],
   [
    70,
    79,
    114,
    230,
    238,
    268
   ],
   [
    71,
    80,
    115,
    239,
    249,
    269
   ],
   [
    72,
    81,
    98,
    232,
    240,
    252
   ],
   [
    73,
    82,
    117,
    233,
    241,
    253
   ],
   [
    74,
    83,
    118,
    234,
    242,
    254
   ],
   [
    75,
    84,
    119,
    235,
    243,
    255
   ],
   [
    76,
    85,
    120,
    236,
    244,
    256
   ],
   [
    77,
    86,
    121,
    237,
    245,
    257
   ],
   [
    78,
    87,
    122,
    238,
    246,
    276
   ],
   [
    79,
    88,
    123,
    239,
    247,
    277
   ],
   [
    80,
    89,
    124,
    248,
    258,
    278
   ],
   [
    81,
    90,
    107,
    241,
    249,
    261
   ],
   [
    82,
    91,
    126,
    242,
    250,
    262
   ],
   [
    83,
    92,
    127,
    243,
    251,
    263
   ],
   [
    84,
    93,
    128,
    244,
    252,
    264
   ],
   [
    85,
    94,
    129,
    245,
    253,
    265
   ],
   [
    86,
    95,
    130,
    246,
    254,
    266
   ],
   [
    87,
    96,
    131,
    247,
    255,
    285
   ],
   [
    88,
    97,
    132,
    248,
    256,
    286
   ],
   [
    0,
    89,
    98,
    257,
    267,
    287
   ],
   [
    90,
    99,
    116,
    250,
    258,
    270
   ],
   [
    91,
    100,
    134,
    251,
    259,
    271
   ],
   [
    92,
    101,
    135,
    252,
    260,
    272
   ],
   [
    93,
    102,
    136,
    253,
    261,
    273
   ],
   [
    94,
    103,
    137,
    254,
    262,
    274
   ],
   [
    95,
    104,
    138,
    255,
    263,
    275
   ],
   [
    96,
    105,
    139,
    256,
    264,
    293
   ],
   [
    1,
    97,
    106,
    257,
    265,
    294
   ],
   [
    2,
    98,
    107,
    266,
    276,
    295
   ],
   [
    99,
    108,
    125,
    259,
    267,
    279
   ],
   [
    100,
    109,
    141,
    260,
    268,
    280
   ],
   [
    101,
    110,
    142,
    261,
    269,
    281
   ],
   [
    102,
    111,
    143,
    262,
    270,
    282
   ],
   [
    103,
    112,
    144,
    263,
    271,
    283
   ],
   [
    104,
    113,
    145,
    264,
    272,
    284
   ],
   [
    3,
    105,
    114,
    265,
    273,
    300
   ],
   [
    4,
    106,
    115,
    266,
    274,
    301
   ],
   [
    5,
    107,
    116,
    275,
    285,
    302
   ],
   [
    108,
    117,
    133,
    268,
    276,
    288
   ],
   [
    109,
    118,
    147,
    269,
    277,
    289
   ],
   [
    110,
    119,
    148,
    270,
    278,
    290
   ],
   [
    111,
    120,
    149,
    271,
    279,
    291
   ],
   [
    112,
    121,
    150,
    159,
    272,
    280
   ],
   [
    6,
    113,
    122,
    273,
    281,
    292
   ],
   [
    7,
    114,
    123,
    274,
    282,
    306
   ],
   [
    8,
    115,
    124,
    275,
    283,
    307
   ],
   [
    9,
    116,
    125,
    284,
    293,
    308
   ],
   [
    117,
    126,
    140,
    277,
    285,
    296
   ],
   [
    118,
    127,
    152,
    278,
    286,
    297
   ],
   [
    119,
    128,
    153,
    279,
    287,
    298
   ],
   [
    120,
    129,
    154,
    160,
    280,
    288
   ],
   [
    10,
    121,
    130,
    161,
    281,
    289
   ],
   [
    11,
    122,
    131,
    282,
    290,
    299
   ],
   [
    12,
    123,
    132,
    283,
    291,
    311
   ],
   [
    14,
    125,
    133,
    292,
    300,
    313
   ],
   [
    126,
    134,
    146,
    286,
    293,
    303
   ],
   [
    127,
    135,
    156,
    287,
    294,
    304
   ],
   [
    128,
    136,
    157,
    162,
    288,
    295
   ],
   [
    15,
    129,
    137,
    163,
    289,
    296
   ],
   [
    16,
    130,
    138,
    164,
    290,
    297
   ],
   [
    17,
    131,
    139,
    291,
    298,
    305
   ],
   [
    20,
    133,
    140,
    174,
    299,
    306
   ],
   [
    134,
    141,
    151,
    294,
    300,
    309
   ],
   [
    135,
    142,
    158,
    165,
    295,
    301
   ],
   [
    21,
    136,
    143,
    166,
    296,
    302
   ],
   [
    22,
    137,
    144,
    167,
    297,
    303
   ],
   [
    23,
    138,
    145,
    168,
    298,
    304
   ],
   [
    27,
    140,
    146,
    181,
    305,
    311
   ],
   [
    141,
    147,
    155,
    169,
    301,
    306
   ],
   [
    28,
    142,
    148,
    170,
    302,
    307
   ],
   [
    29,
    143,
    149,
    171,
    303,
    308
   ],
   [
    30,
    144,
    150,
    172,
    304,
    309
   ],
   [
    35,
    146,
    151,
    189,
    310,
    315
   ],
   [
    36,
    147,
    152,
    175,
    307,
    311
   ],
   [
    37,
    148,
    153,
    176,
    308,
    312
   ],
   [
    38,
    149,
    154,
    177,
    309,
    313
   ],
   [
    44,
    151,
    155,
    198,
    314,
    317
   ],
   [
    45,
    152,
    156,
    182,
    312,
    315
   ],
   [
    46,
    153,
    157,
    183,
    313,
    316
   ],
   [
    54,
    156,
    158,
    190,
    316,
    317
   ]
  ]
 },
 "distance": {
  "d": 26,
  "X": {
   "value": 26,
   "confidence": "upper_bound",
   "witness": [
    5,
    14,
    17,
    26,
    31,
    34,
    40,
    43,
    49,
    81,
    87,
    98,
    107,
    113,
    122,
    131,
    145,
    179,
    183,
    217,
    237,
    257,
    294,
    304,
    309,
    313
   ]
  },
  "Z": {
   "value": 26,
   "confidence": "upper_bound",
   "witness": [
    3,
    6,
    9,
    13,
    18,
    19,
    25,
    30,
    37,
    41,
    49,
    54,
    61,
    146,
    150,
    151,
    154,
    163,
    165,
    167,
    172,
    174,
    181,
    190,
    215,
    315
   ],
   "witness_provenance": {
    "found_by": [
     "@vprusso"
    ],
    "date": "2026-09-25",
    "found_at_samples": 300000000,
    "survived_samples": 300000000,
    "tool": "verify/ris_gpu.py recover mode, pair depth 0 (GPU RIS, CPU re-verified)",
    "seeds": [
     4101
    ]
   }
  }
 },
 "provenance": {
  "authors": [
   "Zijian Liang",
   "Ke Liu",
   "Hao Song",
   "Yu-An Chen"
  ],
  "model": "human",
  "construction": "Twisted-torus bivariate-bicycle code from Generalized toric codes on twisted tori for quantum error correction (PRX Quantum 6, 020357, 2025). Stabilizers f(x,y)=1+x+x^3y^-4, g(x,y)=1+y+x^-1y^-3 on the abelian quotient group Z^2/L with twist basis a_1=[0, 159], a_2=[1, 17] (n=2|det[a_1,a_2]|=2*159). Reconstructed from the published polynomials and twist; CSS form H_X=[f|g], H_Z=[gbar|fbar].",
  "references": [
   "arXiv:2503.03827"
  ],
  "date": "2025",
  "notes": "Reconstructed baseline from Liang, Liu, Song, Chen, Generalized toric codes on twisted tori for quantum error correction (PRX Quantum 6, 020357, 2025), arXiv:2503.03827. The [[n,k,d]] parameter set and stabilizer polynomials are published in that paper; this entry reproduces them. Distance is an upper bound per the paper (probabilistic for d>20); the witness is the surrogate logical of that weight. Seeded to fill a board coverage gap at this block size, not a discovery.",
  "origin": "baseline",
  "novelty": "known_parameters"
 },
 "family": "bivariate-bicycle"
}
