{
 "schema_version": "0.1",
 "name": "[[216,6,23]]",
 "code_type": "CSS",
 "n": 216,
 "k": 6,
 "checks": {
  "X": [
   [
    11,
    26,
    43,
    100,
    130,
    190,
    195,
    200
   ],
   [
    12,
    18,
    44,
    101,
    131,
    191,
    196,
    201
   ],
   [
    13,
    19,
    36,
    102,
    132,
    192,
    197,
    202
   ],
   [
    14,
    20,
    37,
    103,
    133,
    189,
    193,
    203
   ],
   [
    15,
    21,
    38,
    104,
    134,
    190,
    194,
    204
   ],
   [
    16,
    22,
    39,
    105,
    126,
    191,
    195,
    205
   ],
   [
    17,
    23,
    40,
    106,
    127,
    192,
    196,
    206
   ],
   [
    9,
    24,
    41,
    107,
    128,
    193,
    197,
    198
   ],
   [
    10,
    25,
    42,
    99,
    129,
    189,
    194,
    199
   ],
   [
    1,
    20,
    35,
    52,
    139,
    199,
    204,
    209
   ],
   [
    2,
    21,
    27,
    53,
    140,
    200,
    205,
    210
   ],
   [
    3,
    22,
    28,
    45,
    141,
    201,
    206,
    211
   ],
   [
    4,
    23,
    29,
    46,
    142,
    198,
    202,
    212
   ],
   [
    5,
    24,
    30,
    47,
    143,
    199,
    203,
    213
   ],
   [
    6,
    25,
    31,
    48,
    135,
    200,
    204,
    214
   ],
   [
    7,
    26,
    32,
    49,
    136,
    201,
    205,
    215
   ],
   [
    8,
    18,
    33,
    50,
    137,
    202,
    206,
    207
   ],
   [
    0,
    19,
    34,
    51,
    138,
    198,
    203,
    208
   ],
   [
    10,
    29,
    44,
    61,
    110,
    148,
    208,
    213
   ],
   [
    11,
    30,
    36,
    62,
    111,
    149,
    209,
    214
   ],
   [
    12,
    31,
    37,
    54,
    112,
    150,
    210,
    215
   ],
   [
    13,
    32,
    38,
    55,
    113,
    151,
    207,
    211
   ],
   [
    14,
    33,
    39,
    56,
    114,
    152,
    208,
    212
   ],
   [
    15,
    34,
    40,
    57,
    115,
    144,
    209,
    213
   ],
   [
    16,
    35,
    41,
    58,
    116,
    145,
    210,
    214
   ],
   [
    17,
    27,
    42,
    59,
    108,
    146,
    211,
    215
   ],
   [
    9,
    28,
    43,
    60,
    109,
    147,
    207,
    212
   ],
   [
    19,
    38,
    53,
    70,
    109,
    114,
    119,
    157
   ],
   [
    20,
    39,
    45,
    71,
    110,
    115,
    120,
    158
   ],
   [
    21,
    40,
    46,
    63,
    111,
    116,
    121,
    159
   ],
   [
    22,
    41,
    47,
    64,
    108,
    112,
    122,
    160
   ],
   [
    23,
    42,
    48,
    65,
    109,
    113,
    123,
    161
   ],
   [
    24,
    43,
    49,
    66,
    110,
    114,
    124,
    153
   ],
   [
    25,
    44,
    50,
    67,
    111,
    115,
    125,
    154
   ],
   [
    26,
    36,
    51,
    68,
    112,
    116,
    117,
    155
   ],
   [
    18,
    37,
    52,
    69,
    108,
    113,
    118,
    156
   ],
   [
    28,
    47,
    62,
    79,
    118,
    123,
    128,
    166
   ],
   [
    29,
    48,
    54,
    80,
    119,
    124,
    129,
    167
   ],
   [
    30,
    49,
    55,
    72,
    120,
    125,
    130,
    168
   ],
   [
    31,
    50,
    56,
    73,
    117,
    121,
    131,
    169
   ],
   [
    32,
    51,
    57,
    74,
    118,
    122,
    132,
    170
   ],
   [
    33,
    52,
    58,
    75,
    119,
    123,
    133,
    162
   ],
   [
    34,
    53,
    59,
    76,
    120,
    124,
    134,
    163
   ],
   [
    35,
    45,
    60,
    77,
    121,
    125,
    126,
    164
   ],
   [
    27,
    46,
    61,
    78,
    117,
    122,
    127,
    165
   ],
   [
    37,
    56,
    71,
    88,
    127,
    132,
    137,
    175
   ],
   [
    38,
    57,
    63,
    89,
    128,
    133,
    138,
    176
   ],
   [
    39,
    58,
    64,
    81,
    129,
    134,
    139,
    177
   ],
   [
    40,
    59,
    65,
    82,
    126,
    130,
    140,
    178
   ],
   [
    41,
    60,
    66,
    83,
    127,
    131,
    141,
    179
   ],
   [
    42,
    61,
    67,
    84,
    128,
    132,
    142,
    171
   ],
   [
    43,
    62,
    68,
    85,
    129,
    133,
    143,
    172
   ],
   [
    44,
    54,
    69,
    86,
    130,
    134,
    135,
    173
   ],
   [
    36,
    55,
    70,
    87,
    126,
    131,
    136,
    174
   ],
   [
    46,
    65,
    80,
    97,
    136,
    141,
    146,
    184
   ],
   [
    47,
    66,
    72,
    98,
    137,
    142,
    147,
    185
   ],
   [
    48,
    67,
    73,
    90,
    138,
    143,
    148,
    186
   ],
   [
    49,
    68,
    74,
    91,
    135,
    139,
    149,
    187
   ],
   [
    50,
    69,
    75,
    92,
    136,
    140,
    150,
    188
   ],
   [
    51,
    70,
    76,
    93,
    137,
    141,
    151,
    180
   ],
   [
    52,
    71,
    77,
    94,
    138,
    142,
    152,
    181
   ],
   [
    53,
    63,
    78,
    95,
    139,
    143,
    144,
    182
   ],
   [
    45,
    64,
    79,
    96,
    135,
    140,
    145,
    183
   ],
   [
    55,
    74,
    89,
    106,
    145,
    150,
    155,
    193
   ],
   [
    56,
    75,
    81,
    107,
    146,
    151,
    156,
    194
   ],
   [
    57,
    76,
    82,
    99,
    147,
    152,
    157,
    195
   ],
   [
    58,
    77,
    83,
    100,
    144,
    148,
    158,
    196
   ],
   [
    59,
    78,
    84,
    101,
    145,
    149,
    159,
    197
   ],
   [
    60,
    79,
    85,
    102,
    146,
    150,
    160,
    189
   ],
   [
    61,
    80,
    86,
    103,
    147,
    151,
    161,
    190
   ],
   [
    62,
    72,
    87,
    104,
    148,
    152,
    153,
    191
   ],
   [
    54,
    73,
    88,
    105,
    144,
    149,
    154,
    192
   ],
   [
    7,
    64,
    83,
    98,
    154,
    159,
    164,
    202
   ],
   [
    8,
    65,
    84,
    90,
    155,
    160,
    165,
    203
   ],
   [
    0,
    66,
    85,
    91,
    156,
    161,
    166,
    204
   ],
   [
    1,
    67,
    86,
    92,
    153,
    157,
    167,
    205
   ],
   [
    2,
    68,
    87,
    93,
    154,
    158,
    168,
    206
   ],
   [
    3,
    69,
    88,
    94,
    155,
    159,
    169,
    198
   ],
   [
    4,
    70,
    89,
    95,
    156,
    160,
    170,
    199
   ],
   [
    5,
    71,
    81,
    96,
    157,
    161,
    162,
    200
   ],
   [
    6,
    63,
    82,
    97,
    153,
    158,
    163,
    201
   ],
   [
    16,
    73,
    92,
    107,
    163,
    168,
    173,
    211
   ],
   [
    17,
    74,
    93,
    99,
    164,
    169,
    174,
    212
   ],
   [
    9,
    75,
    94,
    100,
    165,
    170,
    175,
    213
   ],
   [
    10,
    76,
    95,
    101,
    162,
    166,
    176,
    214
   ],
   [
    11,
    77,
    96,
    102,
    163,
    167,
    177,
    215
   ],
   [
    12,
    78,
    97,
    103,
    164,
    168,
    178,
    207
   ],
   [
    13,
    79,
    98,
    104,
    165,
    169,
    179,
    208
   ],
   [
    14,
    80,
    90,
    105,
    166,
    170,
    171,
    209
   ],
   [
    15,
    72,
    91,
    106,
    162,
    167,
    172,
    210
   ],
   [
    8,
    25,
    82,
    101,
    112,
    172,
    177,
    182
   ],
   [
    0,
    26,
    83,
    102,
    113,
    173,
    178,
    183
   ],
   [
    1,
    18,
    84,
    103,
    114,
    174,
    179,
    184
   ],
   [
    2,
    19,
    85,
    104,
    115,
    171,
    175,
    185
   ],
   [
    3,
    20,
    86,
    105,
    116,
    172,
    176,
    186
   ],
   [
    4,
    21,
    87,
    106,
    108,
    173,
    177,
    187
   ],
   [
    5,
    22,
    88,
    107,
    109,
    174,
    178,
    188
   ],
   [
    6,
    23,
    89,
    99,
    110,
    175,
    179,
    180
   ],
   [
    7,
    24,
    81,
    100,
    111,
    171,
    176,
    181
   ],
   [
    2,
    17,
    34,
    91,
    121,
    181,
    186,
    191
   ],
   [
    3,
    9,
    35,
    92,
    122,
    182,
    187,
    192
   ],
   [
    4,
    10,
    27,
    93,
    123,
    183,
    188,
    193
   ],
   [
    5,
    11,
    28,
    94,
    124,
    180,
    184,
    194
   ],
   [
    6,
    12,
    29,
    95,
    125,
    181,
    185,
    195
   ],
   [
    7,
    13,
    30,
    96,
    117,
    182,
    186,
    196
   ],
   [
    8,
    14,
    31,
    97,
    118,
    183,
    187,
    197
   ],
   [
    0,
    15,
    32,
    98,
    119,
    184,
    188,
    189
   ],
   [
    1,
    16,
    33,
    90,
    120,
    180,
    185,
    190
   ]
  ],
  "Z": [
   [
    25,
    30,
    35,
    95,
    125,
    182,
    199,
    214
   ],
   [
    26,
    27,
    31,
    96,
    117,
    183,
    200,
    215
   ],
   [
    18,
    28,
    32,
    97,
    118,
    184,
    201,
    207
   ],
   [
    19,
    29,
    33,
    98,
    119,
    185,
    202,
    208
   ],
   [
    20,
    30,
    34,
    90,
    120,
    186,
    203,
    209
   ],
   [
    21,
    31,
    35,
    91,
    121,
    187,
    204,
    210
   ],
   [
    22,
    27,
    32,
    92,
    122,
    188,
    205,
    211
   ],
   [
    23,
    28,
    33,
    93,
    123,
    180,
    206,
    212
   ],
   [
    24,
    29,
    34,
    94,
    124,
    181,
    198,
    213
   ],
   [
    34,
    39,
    44,
    104,
    115,
    134,
    191,
    208
   ],
   [
    35,
    36,
    40,
    105,
    116,
    126,
    192,
    209
   ],
   [
    27,
    37,
    41,
    106,
    108,
    127,
    193,
    210
   ],
   [
    28,
    38,
    42,
    107,
    109,
    128,
    194,
    211
   ],
   [
    29,
    39,
    43,
    99,
    110,
    129,
    195,
    212
   ],
   [
    30,
    40,
    44,
    100,
    111,
    130,
    196,
    213
   ],
   [
    31,
    36,
    41,
    101,
    112,
    131,
    197,
    214
   ],
   [
    32,
    37,
    42,
    102,
    113,
    132,
    189,
    215
   ],
   [
    33,
    38,
    43,
    103,
    114,
    133,
    190,
    207
   ],
   [
    5,
    43,
    48,
    53,
    109,
    124,
    143,
    200
   ],
   [
    6,
    44,
    45,
    49,
    110,
    125,
    135,
    201
   ],
   [
    7,
    36,
    46,
    50,
    111,
    117,
    136,
    202
   ],
   [
    8,
    37,
    47,
    51,
    112,
    118,
    137,
    203
   ],
   [
    0,
    38,
    48,
    52,
    113,
    119,
    138,
    204
   ],
   [
    1,
    39,
    49,
    53,
    114,
    120,
    139,
    205
   ],
   [
    2,
    40,
    45,
    50,
    115,
    121,
    140,
    206
   ],
   [
    3,
    41,
    46,
    51,
    116,
    122,
    141,
    198
   ],
   [
    4,
    42,
    47,
    52,
    108,
    123,
    142,
    199
   ],
   [
    14,
    52,
    57,
    62,
    118,
    133,
    152,
    209
   ],
   [
    15,
    53,
    54,
    58,
    119,
    134,
    144,
    210
   ],
   [
    16,
    45,
    55,
    59,
    120,
    126,
    145,
    211
   ],
   [
    17,
    46,
    56,
    60,
    121,
    127,
    146,
    212
   ],
   [
    9,
    47,
    57,
    61,
    122,
    128,
    147,
    213
   ],
   [
    10,
    48,
    58,
    62,
    123,
    129,
    148,
    214
   ],
   [
    11,
    49,
    54,
    59,
    124,
    130,
    149,
    215
   ],
   [
    12,
    50,
    55,
    60,
    125,
    131,
    150,
    207
   ],
   [
    13,
    51,
    56,
    61,
    117,
    132,
    151,
    208
   ],
   [
    23,
    61,
    66,
    71,
    110,
    127,
    142,
    161
   ],
   [
    24,
    62,
    63,
    67,
    111,
    128,
    143,
    153
   ],
   [
    25,
    54,
    64,
    68,
    112,
    129,
    135,
    154
   ],
   [
    26,
    55,
    65,
    69,
    113,
    130,
    136,
    155
   ],
   [
    18,
    56,
    66,
    70,
    114,
    131,
    137,
    156
   ],
   [
    19,
    57,
    67,
    71,
    115,
    132,
    138,
    157
   ],
   [
    20,
    58,
    63,
    68,
    116,
    133,
    139,
    158
   ],
   [
    21,
    59,
    64,
    69,
    108,
    134,
    140,
    159
   ],
   [
    22,
    60,
    65,
    70,
    109,
    126,
    141,
    160
   ],
   [
    32,
    70,
    75,
    80,
    119,
    136,
    151,
    170
   ],
   [
    33,
    71,
    72,
    76,
    120,
    137,
    152,
    162
   ],
   [
    34,
    63,
    73,
    77,
    121,
    138,
    144,
    163
   ],
   [
    35,
    64,
    74,
    78,
    122,
    139,
    145,
    164
   ],
   [
    27,
    65,
    75,
    79,
    123,
    140,
    146,
    165
   ],
   [
    28,
    66,
    76,
    80,
    124,
    141,
    147,
    166
   ],
   [
    29,
    67,
    72,
    77,
    125,
    142,
    148,
    167
   ],
   [
    30,
    68,
    73,
    78,
    117,
    143,
    149,
    168
   ],
   [
    31,
    69,
    74,
    79,
    118,
    135,
    150,
    169
   ],
   [
    41,
    79,
    84,
    89,
    128,
    145,
    160,
    179
   ],
   [
    42,
    80,
    81,
    85,
    129,
    146,
    161,
    171
   ],
   [
    43,
    72,
    82,
    86,
    130,
    147,
    153,
    172
   ],
   [
    44,
    73,
    83,
    87,
    131,
    148,
    154,
    173
   ],
   [
    36,
    74,
    84,
    88,
    132,
    149,
    155,
    174
   ],
   [
    37,
    75,
    85,
    89,
    133,
    150,
    156,
    175
   ],
   [
    38,
    76,
    81,
    86,
    134,
    151,
    157,
    176
   ],
   [
    39,
    77,
    82,
    87,
    126,
    152,
    158,
    177
   ],
   [
    40,
    78,
    83,
    88,
    127,
    144,
    159,
    178
   ],
   [
    50,
    88,
    93,
    98,
    137,
    154,
    169,
    188
   ],
   [
    51,
    89,
    90,
    94,
    138,
    155,
    170,
    180
   ],
   [
    52,
    81,
    91,
    95,
    139,
    156,
    162,
    181
   ],
   [
    53,
    82,
    92,
    96,
    140,
    157,
    163,
    182
   ],
   [
    45,
    83,
    93,
    97,
    141,
    158,
    164,
    183
   ],
   [
    46,
    84,
    94,
    98,
    142,
    159,
    165,
    184
   ],
   [
    47,
    85,
    90,
    95,
    143,
    160,
    166,
    185
   ],
   [
    48,
    86,
    91,
    96,
    135,
    161,
    167,
    186
   ],
   [
    49,
    87,
    92,
    97,
    136,
    153,
    168,
    187
   ],
   [
    59,
    97,
    102,
    107,
    146,
    163,
    178,
    197
   ],
   [
    60,
    98,
    99,
    103,
    147,
    164,
    179,
    189
   ],
   [
    61,
    90,
    100,
    104,
    148,
    165,
    171,
    190
   ],
   [
    62,
    91,
    101,
    105,
    149,
    166,
    172,
    191
   ],
   [
    54,
    92,
    102,
    106,
    150,
    167,
    173,
    192
   ],
   [
    55,
    93,
    103,
    107,
    151,
    168,
    174,
    193
   ],
   [
    56,
    94,
    99,
    104,
    152,
    169,
    175,
    194
   ],
   [
    57,
    95,
    100,
    105,
    144,
    170,
    176,
    195
   ],
   [
    58,
    96,
    101,
    106,
    145,
    162,
    177,
    196
   ],
   [
    3,
    8,
    68,
    106,
    155,
    172,
    187,
    206
   ],
   [
    0,
    4,
    69,
    107,
    156,
    173,
    188,
    198
   ],
   [
    1,
    5,
    70,
    99,
    157,
    174,
    180,
    199
   ],
   [
    2,
    6,
    71,
    100,
    158,
    175,
    181,
    200
   ],
   [
    3,
    7,
    63,
    101,
    159,
    176,
    182,
    201
   ],
   [
    4,
    8,
    64,
    102,
    160,
    177,
    183,
    202
   ],
   [
    0,
    5,
    65,
    103,
    161,
    178,
    184,
    203
   ],
   [
    1,
    6,
    66,
    104,
    153,
    179,
    185,
    204
   ],
   [
    2,
    7,
    67,
    105,
    154,
    171,
    186,
    205
   ],
   [
    7,
    12,
    17,
    77,
    164,
    181,
    196,
    215
   ],
   [
    8,
    9,
    13,
    78,
    165,
    182,
    197,
    207
   ],
   [
    0,
    10,
    14,
    79,
    166,
    183,
    189,
    208
   ],
   [
    1,
    11,
    15,
    80,
    167,
    184,
    190,
    209
   ],
   [
    2,
    12,
    16,
    72,
    168,
    185,
    191,
    210
   ],
   [
    3,
    13,
    17,
    73,
    169,
    186,
    192,
    211
   ],
   [
    4,
    9,
    14,
    74,
    170,
    187,
    193,
    212
   ],
   [
    5,
    10,
    15,
    75,
    162,
    188,
    194,
    213
   ],
   [
    6,
    11,
    16,
    76,
    163,
    180,
    195,
    214
   ],
   [
    16,
    21,
    26,
    86,
    116,
    173,
    190,
    205
   ],
   [
    17,
    18,
    22,
    87,
    108,
    174,
    191,
    206
   ],
   [
    9,
    19,
    23,
    88,
    109,
    175,
    192,
    198
   ],
   [
    10,
    20,
    24,
    89,
    110,
    176,
    193,
    199
   ],
   [
    11,
    21,
    25,
    81,
    111,
    177,
    194,
    200
   ],
   [
    12,
    22,
    26,
    82,
    112,
    178,
    195,
    201
   ],
   [
    13,
    18,
    23,
    83,
    113,
    179,
    196,
    202
   ],
   [
    14,
    19,
    24,
    84,
    114,
    171,
    197,
    203
   ],
   [
    15,
    20,
    25,
    85,
    115,
    172,
    189,
    204
   ]
  ]
 },
 "distance": {
  "d": 23,
  "X": {
   "value": 23,
   "confidence": "upper_bound",
   "witness": [
    2,
    16,
    20,
    30,
    35,
    45,
    68,
    76,
    91,
    101,
    105,
    131,
    135,
    147,
    150,
    156,
    162,
    164,
    172,
    173,
    176,
    181,
    213
   ]
  },
  "Z": {
   "value": 23,
   "confidence": "upper_bound",
   "witness": [
    0,
    7,
    11,
    13,
    15,
    23,
    25,
    26,
    34,
    37,
    46,
    64,
    91,
    102,
    111,
    112,
    113,
    127,
    134,
    135,
    179,
    184,
    189
   ]
  }
 },
 "provenance": {
  "authors": [
   "@MathysRennela"
  ],
  "construction": "Bivariate bicycle code QC(A,B) on Z_12 x Z_9 with weight-4 generators A = x y^2 + x^2 y^8 + x^4 y^7 + x^11 y, B = x^2 y^4 + x^9 y + x^9 y^6 + x^10 y^2 (weight-8 checks). Found by campaign 2 of a weight-8 BB sweep at n in {192, 216, 288}, beyond the regime searched by arXiv:2609.06572.",
  "origin": "submission",
  "date": "2026-09-09",
  "model": "Omen Alpha 1.0",
  "notes": "New parameters (submitter claim). Distance: RIS upper bound d<=23 (20k trials), corroborated by BP+OSD at 200k trials/side finding nothing lighter; exact certification not run.",
  "novelty": "new_parameters"
 },
 "family": "bivariate-bicycle"
}