{
 "schema_version": "0.1",
 "name": "[[168,18,10]]",
 "code_type": "CSS",
 "n": 168,
 "k": 18,
 "checks": {
  "X": [
   [
    0,
    8,
    57,
    84,
    113,
    142,
    159
   ],
   [
    1,
    13,
    63,
    85,
    118,
    143,
    148
   ],
   [
    0,
    2,
    43,
    86,
    123,
    152,
    165
   ],
   [
    3,
    18,
    68,
    87,
    124,
    131,
    149
   ],
   [
    4,
    19,
    69,
    88,
    90,
    125,
    154
   ],
   [
    1,
    5,
    49,
    89,
    128,
    153,
    157
   ],
   [
    6,
    24,
    73,
    90,
    107,
    137,
    154
   ],
   [
    7,
    25,
    74,
    84,
    91,
    130,
    159
   ],
   [
    2,
    8,
    59,
    92,
    133,
    160,
    167
   ],
   [
    3,
    9,
    54,
    93,
    134,
    141,
    158
   ],
   [
    4,
    10,
    55,
    94,
    98,
    135,
    162
   ],
   [
    11,
    30,
    78,
    85,
    95,
    136,
    143
   ],
   [
    2,
    12,
    31,
    87,
    96,
    100,
    137
   ],
   [
    5,
    13,
    65,
    97,
    138,
    161,
    163
   ],
   [
    6,
    14,
    60,
    98,
    117,
    147,
    162
   ],
   [
    7,
    15,
    61,
    86,
    99,
    140,
    165
   ],
   [
    16,
    36,
    81,
    87,
    100,
    119,
    149
   ],
   [
    5,
    17,
    37,
    88,
    90,
    101,
    142
   ],
   [
    9,
    18,
    70,
    102,
    144,
    151,
    164
   ],
   [
    0,
    10,
    19,
    103,
    108,
    145,
    166
   ],
   [
    11,
    20,
    66,
    89,
    104,
    146,
    153
   ],
   [
    12,
    21,
    67,
    93,
    105,
    110,
    147
   ],
   [
    9,
    22,
    42,
    84,
    91,
    106,
    148
   ],
   [
    10,
    23,
    43,
    95,
    107,
    112,
    149
   ],
   [
    14,
    24,
    75,
    108,
    127,
    156,
    166
   ],
   [
    1,
    15,
    25,
    92,
    109,
    150,
    167
   ],
   [
    16,
    26,
    71,
    93,
    110,
    129,
    158
   ],
   [
    17,
    27,
    72,
    94,
    98,
    111,
    152
   ],
   [
    14,
    28,
    48,
    85,
    95,
    112,
    131
   ],
   [
    15,
    29,
    49,
    96,
    100,
    113,
    154
   ],
   [
    3,
    20,
    30,
    97,
    114,
    155,
    161
   ],
   [
    4,
    21,
    31,
    102,
    115,
    120,
    156
   ],
   [
    22,
    32,
    76,
    86,
    99,
    116,
    157
   ],
   [
    23,
    33,
    77,
    104,
    117,
    122,
    158
   ],
   [
    20,
    34,
    54,
    88,
    101,
    118,
    159
   ],
   [
    21,
    35,
    55,
    85,
    106,
    119,
    124
   ],
   [
    6,
    26,
    36,
    102,
    120,
    139,
    164
   ],
   [
    7,
    27,
    37,
    103,
    108,
    121,
    160
   ],
   [
    28,
    38,
    79,
    89,
    104,
    122,
    141
   ],
   [
    29,
    39,
    80,
    105,
    110,
    123,
    162
   ],
   [
    26,
    40,
    60,
    91,
    106,
    124,
    143
   ],
   [
    27,
    41,
    61,
    87,
    107,
    112,
    125
   ],
   [
    11,
    32,
    42,
    92,
    109,
    126,
    163
   ],
   [
    12,
    33,
    43,
    114,
    127,
    132,
    164
   ],
   [
    34,
    44,
    82,
    94,
    111,
    128,
    165
   ],
   [
    8,
    35,
    45,
    89,
    116,
    129,
    134
   ],
   [
    32,
    46,
    66,
    90,
    96,
    113,
    130
   ],
   [
    33,
    47,
    67,
    91,
    118,
    131,
    136
   ],
   [
    16,
    38,
    48,
    97,
    114,
    132,
    151
   ],
   [
    17,
    39,
    49,
    115,
    120,
    133,
    166
   ],
   [
    40,
    50,
    83,
    99,
    116,
    134,
    153
   ],
   [
    13,
    41,
    51,
    93,
    117,
    122,
    135
   ],
   [
    38,
    52,
    71,
    84,
    101,
    118,
    136
   ],
   [
    39,
    53,
    72,
    95,
    119,
    124,
    137
   ],
   [
    22,
    44,
    54,
    103,
    121,
    138,
    167
   ],
   [
    23,
    45,
    55,
    97,
    126,
    139,
    144
   ],
   [
    18,
    46,
    56,
    98,
    105,
    123,
    140
   ],
   [
    19,
    47,
    57,
    99,
    128,
    141,
    146
   ],
   [
    44,
    58,
    76,
    100,
    107,
    125,
    142
   ],
   [
    45,
    59,
    77,
    101,
    130,
    143,
    148
   ],
   [
    28,
    50,
    60,
    109,
    126,
    144,
    161
   ],
   [
    29,
    51,
    61,
    102,
    127,
    132,
    145
   ],
   [
    24,
    52,
    62,
    86,
    111,
    128,
    146
   ],
   [
    25,
    53,
    63,
    104,
    129,
    134,
    147
   ],
   [
    50,
    64,
    79,
    88,
    113,
    130,
    148
   ],
   [
    51,
    65,
    80,
    106,
    131,
    136,
    149
   ],
   [
    34,
    56,
    66,
    108,
    115,
    133,
    150
   ],
   [
    35,
    57,
    67,
    109,
    138,
    151,
    155
   ],
   [
    30,
    58,
    68,
    110,
    117,
    135,
    152
   ],
   [
    31,
    59,
    69,
    111,
    140,
    153,
    157
   ],
   [
    56,
    70,
    82,
    112,
    119,
    137,
    154
   ],
   [
    40,
    62,
    71,
    92,
    121,
    138,
    155
   ],
   [
    41,
    63,
    72,
    114,
    139,
    144,
    156
   ],
   [
    36,
    64,
    73,
    94,
    123,
    140,
    157
   ],
   [
    37,
    65,
    74,
    116,
    141,
    146,
    158
   ],
   [
    62,
    75,
    83,
    96,
    125,
    142,
    159
   ],
   [
    46,
    68,
    76,
    120,
    127,
    145,
    160
   ],
   [
    47,
    69,
    77,
    121,
    150,
    161,
    163
   ],
   [
    42,
    70,
    78,
    122,
    129,
    147,
    162
   ],
   [
    52,
    73,
    79,
    103,
    133,
    150,
    163
   ],
   [
    53,
    74,
    80,
    126,
    151,
    155,
    164
   ],
   [
    48,
    75,
    81,
    105,
    135,
    152,
    165
   ],
   [
    58,
    78,
    82,
    132,
    139,
    156,
    166
   ],
   [
    64,
    81,
    83,
    115,
    145,
    160,
    167
   ]
  ],
  "Z": [
   [
    0,
    7,
    22,
    52,
    84,
    86,
    103
   ],
   [
    1,
    11,
    28,
    35,
    85,
    89,
    109
   ],
   [
    2,
    15,
    32,
    62,
    86,
    92,
    96
   ],
   [
    3,
    12,
    16,
    41,
    87,
    93,
    114
   ],
   [
    4,
    17,
    34,
    64,
    88,
    94,
    115
   ],
   [
    5,
    20,
    38,
    45,
    89,
    97,
    101
   ],
   [
    4,
    6,
    17,
    46,
    90,
    98,
    120
   ],
   [
    7,
    22,
    40,
    47,
    91,
    99,
    121
   ],
   [
    8,
    25,
    42,
    71,
    84,
    92,
    129
   ],
   [
    9,
    21,
    26,
    51,
    93,
    102,
    106
   ],
   [
    10,
    27,
    44,
    73,
    94,
    103,
    107
   ],
   [
    11,
    23,
    28,
    53,
    95,
    104,
    126
   ],
   [
    12,
    29,
    46,
    75,
    96,
    105,
    127
   ],
   [
    13,
    30,
    48,
    55,
    85,
    97,
    135
   ],
   [
    10,
    14,
    27,
    56,
    98,
    108,
    112
   ],
   [
    15,
    32,
    50,
    57,
    99,
    109,
    113
   ],
   [
    12,
    16,
    29,
    58,
    100,
    110,
    132
   ],
   [
    17,
    34,
    52,
    59,
    101,
    111,
    133
   ],
   [
    18,
    31,
    36,
    61,
    87,
    102,
    140
   ],
   [
    19,
    37,
    54,
    79,
    88,
    103,
    141
   ],
   [
    20,
    33,
    38,
    63,
    104,
    114,
    118
   ],
   [
    21,
    39,
    56,
    81,
    105,
    115,
    119
   ],
   [
    22,
    35,
    40,
    65,
    106,
    116,
    138
   ],
   [
    6,
    23,
    41,
    58,
    107,
    117,
    139
   ],
   [
    19,
    24,
    37,
    66,
    90,
    108,
    146
   ],
   [
    25,
    42,
    60,
    67,
    91,
    109,
    147
   ],
   [
    21,
    26,
    39,
    68,
    110,
    120,
    124
   ],
   [
    27,
    44,
    62,
    69,
    111,
    121,
    125
   ],
   [
    23,
    28,
    41,
    70,
    112,
    122,
    144
   ],
   [
    0,
    29,
    46,
    64,
    113,
    123,
    145
   ],
   [
    30,
    43,
    48,
    72,
    95,
    114,
    152
   ],
   [
    31,
    49,
    66,
    83,
    96,
    115,
    153
   ],
   [
    32,
    45,
    50,
    74,
    116,
    126,
    130
   ],
   [
    14,
    33,
    51,
    68,
    117,
    127,
    131
   ],
   [
    1,
    34,
    47,
    52,
    118,
    128,
    150
   ],
   [
    16,
    35,
    53,
    70,
    119,
    129,
    151
   ],
   [
    31,
    36,
    49,
    76,
    100,
    120,
    157
   ],
   [
    37,
    54,
    71,
    77,
    101,
    121,
    158
   ],
   [
    33,
    38,
    51,
    78,
    122,
    132,
    136
   ],
   [
    2,
    39,
    56,
    73,
    123,
    133,
    137
   ],
   [
    3,
    35,
    40,
    53,
    124,
    134,
    155
   ],
   [
    4,
    41,
    58,
    75,
    125,
    135,
    156
   ],
   [
    42,
    55,
    60,
    80,
    106,
    126,
    162
   ],
   [
    24,
    43,
    61,
    76,
    86,
    107,
    127
   ],
   [
    5,
    44,
    57,
    62,
    128,
    138,
    142
   ],
   [
    26,
    45,
    63,
    78,
    129,
    139,
    143
   ],
   [
    7,
    46,
    59,
    64,
    130,
    140,
    160
   ],
   [
    3,
    28,
    47,
    65,
    131,
    141,
    161
   ],
   [
    43,
    48,
    61,
    82,
    112,
    132,
    165
   ],
   [
    8,
    49,
    66,
    79,
    89,
    113,
    133
   ],
   [
    9,
    45,
    50,
    63,
    134,
    144,
    148
   ],
   [
    10,
    51,
    68,
    81,
    135,
    145,
    149
   ],
   [
    11,
    47,
    52,
    65,
    136,
    146,
    163
   ],
   [
    6,
    12,
    53,
    70,
    137,
    147,
    164
   ],
   [
    13,
    54,
    67,
    71,
    93,
    118,
    138
   ],
   [
    36,
    55,
    72,
    82,
    94,
    119,
    139
   ],
   [
    15,
    56,
    69,
    73,
    140,
    150,
    154
   ],
   [
    9,
    38,
    57,
    74,
    84,
    141,
    151
   ],
   [
    0,
    17,
    58,
    75,
    142,
    152,
    166
   ],
   [
    1,
    11,
    40,
    59,
    92,
    143,
    153
   ],
   [
    18,
    55,
    60,
    72,
    98,
    124,
    144
   ],
   [
    19,
    61,
    76,
    83,
    99,
    125,
    145
   ],
   [
    20,
    57,
    62,
    74,
    146,
    155,
    159
   ],
   [
    14,
    21,
    63,
    78,
    85,
    147,
    156
   ],
   [
    1,
    22,
    59,
    64,
    148,
    157,
    167
   ],
   [
    3,
    16,
    23,
    65,
    97,
    149,
    158
   ],
   [
    25,
    66,
    77,
    79,
    104,
    130,
    150
   ],
   [
    18,
    48,
    67,
    80,
    105,
    131,
    151
   ],
   [
    2,
    27,
    68,
    81,
    87,
    152,
    160
   ],
   [
    5,
    20,
    50,
    69,
    88,
    153,
    161
   ],
   [
    4,
    6,
    29,
    70,
    102,
    154,
    162
   ],
   [
    30,
    67,
    71,
    80,
    110,
    136,
    155
   ],
   [
    24,
    31,
    72,
    82,
    111,
    137,
    156
   ],
   [
    5,
    32,
    69,
    73,
    90,
    157,
    163
   ],
   [
    9,
    26,
    33,
    74,
    91,
    158,
    164
   ],
   [
    0,
    7,
    34,
    75,
    108,
    159,
    165
   ],
   [
    8,
    37,
    76,
    83,
    116,
    142,
    160
   ],
   [
    13,
    30,
    60,
    77,
    117,
    143,
    161
   ],
   [
    10,
    14,
    39,
    78,
    95,
    162,
    166
   ],
   [
    13,
    42,
    77,
    79,
    122,
    148,
    163
   ],
   [
    18,
    36,
    43,
    80,
    123,
    149,
    164
   ],
   [
    2,
    15,
    44,
    81,
    100,
    165,
    167
   ],
   [
    19,
    24,
    49,
    82,
    128,
    154,
    166
   ],
   [
    8,
    25,
    54,
    83,
    134,
    159,
    167
   ]
  ]
 },
 "distance": {
  "d": 10,
  "X": {
   "value": 10,
   "confidence": "upper_bound",
   "witness": [
    85,
    97,
    101,
    109,
    113,
    123,
    133,
    147,
    158,
    164
   ]
  },
  "Z": {
   "value": 10,
   "confidence": "upper_bound",
   "witness": [
    0,
    10,
    33,
    35,
    43,
    45,
    47,
    55,
    57,
    77
   ]
  }
 },
 "provenance": {
  "authors": [
   "@MathysRennela"
  ],
  "construction": "contributed via qldpc submit",
  "origin": "submission",
  "date": "2026-09-18",
  "model": "DeepSeek V4 Flash 0731",
  "notes": "Literature reproduction of a published 2BGA code (arXiv:2306.16400; github.com/QEC-pages/2BGA-codes @ 403d194c3f98f0cadc236aecbc4a8b6139ccf23c). Checked against the live board: not equivalent to any existing entry."
 },
 "family": "generalized-bicycle"
}