{
 "schema_version": "0.1",
 "name": "[[198,8,9]] graft of [[200,8,9]]",
 "code_type": "CSS",
 "n": 198,
 "k": 8,
 "checks": {
  "X": [
   [
    0,
    100,
    101
   ],
   [
    1,
    101,
    102
   ],
   [
    2,
    102,
    103
   ],
   [
    3,
    103,
    104
   ],
   [
    4,
    104,
    105
   ],
   [
    5,
    105,
    106
   ],
   [
    6,
    106
   ],
   [
    7,
    107
   ],
   [
    0,
    10,
    109,
    110
   ],
   [
    1,
    11,
    110,
    111
   ],
   [
    2,
    12,
    111,
    112
   ],
   [
    3,
    13,
    112,
    113
   ],
   [
    4,
    14,
    113,
    114
   ],
   [
    5,
    15,
    114,
    115
   ],
   [
    6,
    16,
    115,
    116
   ],
   [
    7,
    17,
    116,
    117
   ],
   [
    2,
    10,
    20,
    99,
    119,
    120
   ],
   [
    3,
    11,
    21,
    100,
    120,
    121
   ],
   [
    4,
    12,
    22,
    101,
    121,
    122
   ],
   [
    5,
    13,
    23,
    102,
    122,
    123
   ],
   [
    6,
    14,
    24,
    103,
    123,
    124
   ],
   [
    7,
    15,
    25,
    104,
    124,
    125
   ],
   [
    8,
    16,
    26,
    105,
    125,
    126
   ],
   [
    9,
    17,
    27,
    106,
    126,
    127
   ],
   [
    12,
    20,
    30,
    108,
    129,
    130
   ],
   [
    13,
    21,
    31,
    109,
    130,
    131
   ],
   [
    14,
    22,
    32,
    110,
    131,
    132
   ],
   [
    15,
    23,
    33,
    111,
    132,
    133
   ],
   [
    16,
    24,
    34,
    112,
    133,
    134
   ],
   [
    17,
    25,
    35,
    113,
    134,
    135
   ],
   [
    18,
    26,
    36,
    114,
    135,
    136
   ],
   [
    19,
    27,
    37,
    115,
    136,
    137
   ],
   [
    22,
    30,
    40,
    118,
    139,
    140
   ],
   [
    23,
    31,
    41,
    119,
    140,
    141
   ],
   [
    24,
    32,
    42,
    120,
    141,
    142
   ],
   [
    25,
    33,
    43,
    121,
    142,
    143
   ],
   [
    26,
    34,
    44,
    122,
    143,
    144
   ],
   [
    27,
    35,
    45,
    123,
    144,
    145
   ],
   [
    28,
    36,
    46,
    124,
    145,
    146
   ],
   [
    29,
    37,
    47,
    125,
    146,
    147
   ],
   [
    32,
    40,
    50,
    128,
    149,
    150
   ],
   [
    33,
    41,
    51,
    129,
    150,
    151
   ],
   [
    34,
    42,
    52,
    130,
    151,
    152
   ],
   [
    35,
    43,
    53,
    131,
    152,
    153
   ],
   [
    36,
    44,
    54,
    132,
    153,
    154
   ],
   [
    37,
    45,
    55,
    133,
    154,
    155
   ],
   [
    38,
    46,
    56,
    134,
    155,
    156
   ],
   [
    39,
    47,
    57,
    135,
    156,
    157
   ],
   [
    42,
    50,
    60,
    138,
    159,
    160
   ],
   [
    43,
    51,
    61,
    139,
    160,
    161
   ],
   [
    44,
    52,
    62,
    140,
    161,
    162
   ],
   [
    45,
    53,
    63,
    141,
    162,
    163
   ],
   [
    46,
    54,
    64,
    142,
    163,
    164
   ],
   [
    47,
    55,
    65,
    143,
    164,
    165
   ],
   [
    48,
    56,
    66,
    144,
    165,
    166
   ],
   [
    49,
    57,
    67,
    145,
    166,
    167
   ],
   [
    52,
    60,
    70,
    148,
    169,
    170
   ],
   [
    53,
    61,
    71,
    149,
    170,
    171
   ],
   [
    54,
    62,
    72,
    150,
    171,
    172
   ],
   [
    55,
    63,
    73,
    151,
    172,
    173
   ],
   [
    56,
    64,
    74,
    152,
    173,
    174
   ],
   [
    57,
    65,
    75,
    153,
    174,
    175
   ],
   [
    58,
    66,
    76,
    154,
    175,
    176
   ],
   [
    59,
    67,
    77,
    155,
    176,
    177
   ],
   [
    62,
    70,
    80,
    158,
    179,
    180
   ],
   [
    63,
    71,
    81,
    159,
    180,
    181
   ],
   [
    64,
    72,
    82,
    160,
    181,
    182
   ],
   [
    65,
    73,
    83,
    161,
    182,
    183
   ],
   [
    66,
    74,
    84,
    162,
    183,
    184
   ],
   [
    67,
    75,
    85,
    163,
    184,
    185
   ],
   [
    68,
    76,
    86,
    164,
    185,
    186
   ],
   [
    69,
    77,
    87,
    165,
    186,
    187
   ],
   [
    72,
    80,
    168,
    189,
    190
   ],
   [
    73,
    81,
    90,
    169,
    190,
    191
   ],
   [
    74,
    82,
    91,
    170,
    191,
    192
   ],
   [
    75,
    83,
    92,
    171,
    192,
    193
   ],
   [
    76,
    84,
    93,
    172,
    193,
    194
   ],
   [
    77,
    85,
    94,
    173,
    194,
    195
   ],
   [
    78,
    86,
    95,
    174,
    195,
    196
   ],
   [
    79,
    87,
    96,
    175,
    196,
    197
   ],
   [
    82,
    178
   ],
   [
    83,
    90,
    179
   ],
   [
    84,
    91,
    180
   ],
   [
    85,
    92,
    181
   ],
   [
    86,
    93,
    182
   ],
   [
    87,
    94,
    183
   ],
   [
    88,
    95,
    184
   ],
   [
    89,
    96,
    185
   ],
   [
    91,
    188
   ],
   [
    92,
    189
   ],
   [
    93,
    190
   ],
   [
    94,
    191
   ],
   [
    95,
    192
   ],
   [
    96,
    193
   ],
   [
    97,
    194
   ],
   [
    98,
    195
   ]
  ],
  "Z": [
   [
    20,
    99,
    108
   ],
   [
    0,
    21,
    100,
    109
   ],
   [
    0,
    1,
    22,
    101,
    110,
    118
   ],
   [
    1,
    2,
    23,
    102,
    111,
    119
   ],
   [
    2,
    3,
    24,
    103,
    112,
    120
   ],
   [
    3,
    4,
    25,
    104,
    113,
    121
   ],
   [
    4,
    5,
    26,
    105,
    114,
    122
   ],
   [
    5,
    6,
    27,
    106,
    115,
    123
   ],
   [
    7,
    8,
    29,
    107,
    117,
    125
   ],
   [
    8,
    9,
    126
   ],
   [
    9,
    127
   ],
   [
    30,
    108,
    118
   ],
   [
    10,
    31,
    109,
    119
   ],
   [
    10,
    11,
    32,
    110,
    120,
    128
   ],
   [
    11,
    12,
    33,
    111,
    121,
    129
   ],
   [
    12,
    13,
    34,
    112,
    122,
    130
   ],
   [
    13,
    14,
    35,
    113,
    123,
    131
   ],
   [
    14,
    15,
    36,
    114,
    124,
    132
   ],
   [
    15,
    16,
    37,
    115,
    125,
    133
   ],
   [
    16,
    17,
    38,
    116,
    126,
    134
   ],
   [
    17,
    18,
    39,
    117,
    127,
    135
   ],
   [
    18,
    19,
    136
   ],
   [
    19,
    137
   ],
   [
    40,
    118,
    128
   ],
   [
    20,
    41,
    119,
    129
   ],
   [
    20,
    21,
    42,
    120,
    130,
    138
   ],
   [
    21,
    22,
    43,
    121,
    131,
    139
   ],
   [
    22,
    23,
    44,
    122,
    132,
    140
   ],
   [
    23,
    24,
    45,
    123,
    133,
    141
   ],
   [
    24,
    25,
    46,
    124,
    134,
    142
   ],
   [
    25,
    26,
    47,
    125,
    135,
    143
   ],
   [
    26,
    27,
    48,
    126,
    136,
    144
   ],
   [
    27,
    28,
    49,
    127,
    137,
    145
   ],
   [
    28,
    29,
    146
   ],
   [
    29,
    147
   ],
   [
    50,
    128,
    138
   ],
   [
    30,
    51,
    129,
    139
   ],
   [
    30,
    31,
    52,
    130,
    140,
    148
   ],
   [
    31,
    32,
    53,
    131,
    141,
    149
   ],
   [
    32,
    33,
    54,
    132,
    142,
    150
   ],
   [
    33,
    34,
    55,
    133,
    143,
    151
   ],
   [
    34,
    35,
    56,
    134,
    144,
    152
   ],
   [
    35,
    36,
    57,
    135,
    145,
    153
   ],
   [
    36,
    37,
    58,
    136,
    146,
    154
   ],
   [
    37,
    38,
    59,
    137,
    147,
    155
   ],
   [
    38,
    39,
    156
   ],
   [
    39,
    157
   ],
   [
    60,
    138,
    148
   ],
   [
    40,
    61,
    139,
    149
   ],
   [
    40,
    41,
    62,
    140,
    150,
    158
   ],
   [
    41,
    42,
    63,
    141,
    151,
    159
   ],
   [
    42,
    43,
    64,
    142,
    152,
    160
   ],
   [
    43,
    44,
    65,
    143,
    153,
    161
   ],
   [
    44,
    45,
    66,
    144,
    154,
    162
   ],
   [
    45,
    46,
    67,
    145,
    155,
    163
   ],
   [
    46,
    47,
    68,
    146,
    156,
    164
   ],
   [
    47,
    48,
    69,
    147,
    157,
    165
   ],
   [
    48,
    49,
    166
   ],
   [
    49,
    167
   ],
   [
    70,
    148,
    158
   ],
   [
    50,
    71,
    149,
    159
   ],
   [
    50,
    51,
    72,
    150,
    160,
    168
   ],
   [
    51,
    52,
    73,
    151,
    161,
    169
   ],
   [
    52,
    53,
    74,
    152,
    162,
    170
   ],
   [
    53,
    54,
    75,
    153,
    163,
    171
   ],
   [
    54,
    55,
    76,
    154,
    164,
    172
   ],
   [
    55,
    56,
    77,
    155,
    165,
    173
   ],
   [
    56,
    57,
    78,
    156,
    166,
    174
   ],
   [
    57,
    58,
    79,
    157,
    167,
    175
   ],
   [
    58,
    59,
    176
   ],
   [
    59,
    177
   ],
   [
    80,
    158,
    168
   ],
   [
    60,
    81,
    159,
    169
   ],
   [
    60,
    61,
    82,
    160,
    170,
    178
   ],
   [
    61,
    62,
    83,
    161,
    171,
    179
   ],
   [
    62,
    63,
    84,
    162,
    172,
    180
   ],
   [
    63,
    64,
    85,
    163,
    173,
    181
   ],
   [
    64,
    65,
    86,
    164,
    174,
    182
   ],
   [
    65,
    66,
    87,
    165,
    175,
    183
   ],
   [
    66,
    67,
    88,
    166,
    176,
    184
   ],
   [
    67,
    68,
    89,
    167,
    177,
    185
   ],
   [
    68,
    69,
    186
   ],
   [
    69,
    187
   ],
   [
    70,
    90,
    169,
    179
   ],
   [
    70,
    71,
    91,
    170,
    180,
    188
   ],
   [
    71,
    72,
    92,
    171,
    181,
    189
   ],
   [
    72,
    73,
    93,
    172,
    182,
    190
   ],
   [
    73,
    74,
    94,
    173,
    183,
    191
   ],
   [
    74,
    75,
    95,
    174,
    184,
    192
   ],
   [
    75,
    76,
    96,
    175,
    185,
    193
   ],
   [
    76,
    77,
    97,
    176,
    186,
    194
   ],
   [
    77,
    78,
    98,
    177,
    187,
    195
   ],
   [
    78,
    79,
    196
   ],
   [
    79,
    197
   ]
  ]
 },
 "distance": {
  "d": 9,
  "X": {
   "value": 9,
   "confidence": "upper_bound",
   "witness": [
    11,
    12,
    42,
    63,
    64,
    84,
    86,
    112,
    120
   ]
  },
  "Z": {
   "value": 9,
   "confidence": "upper_bound",
   "witness": [
    58,
    76,
    78,
    80,
    86,
    90,
    93,
    179,
    190
   ]
  }
 },
 "provenance": {
  "authors": [
   "@mathysrennela"
  ],
  "construction": "graft_r1_safe removal of 2 qubits from codes/200-8-9.json (seed 0, d_floor 9 defended at the tool's per-step 2-seed confirms and 3-removal block gates); layout subset to the 198 surviving qubits.",
  "references": [],
  "date": "2026-09-09",
  "notes": "Derived from codes/200-8-9.json by r=1 lattice graft (2 stabilizer rows removed, 2 qubit columns deleted; k unchanged, n lower). Different check sets; checked, not equivalent.",
  "model": "Omen Alpha 1.0"
 },
 "family": "bivariate-bicycle",
 "locality": {
  "coordinates": [
   [
    0.0,
    0.0
   ],
   [
    0.0,
    1.0
   ],
   [
    0.0,
    2.0
   ],
   [
    0.0,
    3.0
   ],
   [
    0.0,
    4.0
   ],
   [
    0.0,
    5.0
   ],
   [
    0.0,
    6.0
   ],
   [
    0.0,
    7.0
   ],
   [
    0.0,
    8.0
   ],
   [
    0.0,
    9.0
   ],
   [
    1.0,
    0.0
   ],
   [
    1.0,
    1.0
   ],
   [
    1.0,
    2.0
   ],
   [
    1.0,
    3.0
   ],
   [
    1.0,
    4.0
   ],
   [
    1.0,
    5.0
   ],
   [
    1.0,
    6.0
   ],
   [
    1.0,
    7.0
   ],
   [
    1.0,
    8.0
   ],
   [
    1.0,
    9.0
   ],
   [
    2.0,
    0.0
   ],
   [
    2.0,
    1.0
   ],
   [
    2.0,
    2.0
   ],
   [
    2.0,
    3.0
   ],
   [
    2.0,
    4.0
   ],
   [
    2.0,
    5.0
   ],
   [
    2.0,
    6.0
   ],
   [
    2.0,
    7.0
   ],
   [
    2.0,
    8.0
   ],
   [
    2.0,
    9.0
   ],
   [
    3.0,
    0.0
   ],
   [
    3.0,
    1.0
   ],
   [
    3.0,
    2.0
   ],
   [
    3.0,
    3.0
   ],
   [
    3.0,
    4.0
   ],
   [
    3.0,
    5.0
   ],
   [
    3.0,
    6.0
   ],
   [
    3.0,
    7.0
   ],
   [
    3.0,
    8.0
   ],
   [
    3.0,
    9.0
   ],
   [
    4.0,
    0.0
   ],
   [
    4.0,
    1.0
   ],
   [
    4.0,
    2.0
   ],
   [
    4.0,
    3.0
   ],
   [
    4.0,
    4.0
   ],
   [
    4.0,
    5.0
   ],
   [
    4.0,
    6.0
   ],
   [
    4.0,
    7.0
   ],
   [
    4.0,
    8.0
   ],
   [
    4.0,
    9.0
   ],
   [
    5.0,
    0.0
   ],
   [
    5.0,
    1.0
   ],
   [
    5.0,
    2.0
   ],
   [
    5.0,
    3.0
   ],
   [
    5.0,
    4.0
   ],
   [
    5.0,
    5.0
   ],
   [
    5.0,
    6.0
   ],
   [
    5.0,
    7.0
   ],
   [
    5.0,
    8.0
   ],
   [
    5.0,
    9.0
   ],
   [
    6.0,
    0.0
   ],
   [
    6.0,
    1.0
   ],
   [
    6.0,
    2.0
   ],
   [
    6.0,
    3.0
   ],
   [
    6.0,
    4.0
   ],
   [
    6.0,
    5.0
   ],
   [
    6.0,
    6.0
   ],
   [
    6.0,
    7.0
   ],
   [
    6.0,
    8.0
   ],
   [
    6.0,
    9.0
   ],
   [
    7.0,
    0.0
   ],
   [
    7.0,
    1.0
   ],
   [
    7.0,
    2.0
   ],
   [
    7.0,
    3.0
   ],
   [
    7.0,
    4.0
   ],
   [
    7.0,
    5.0
   ],
   [
    7.0,
    6.0
   ],
   [
    7.0,
    7.0
   ],
   [
    7.0,
    8.0
   ],
   [
    7.0,
    9.0
   ],
   [
    8.0,
    0.0
   ],
   [
    8.0,
    1.0
   ],
   [
    8.0,
    2.0
   ],
   [
    8.0,
    3.0
   ],
   [
    8.0,
    4.0
   ],
   [
    8.0,
    5.0
   ],
   [
    8.0,
    6.0
   ],
   [
    8.0,
    7.0
   ],
   [
    8.0,
    8.0
   ],
   [
    8.0,
    9.0
   ],
   [
    9.0,
    1.0
   ],
   [
    9.0,
    2.0
   ],
   [
    9.0,
    3.0
   ],
   [
    9.0,
    4.0
   ],
   [
    9.0,
    5.0
   ],
   [
    9.0,
    6.0
   ],
   [
    9.0,
    7.0
   ],
   [
    9.0,
    8.0
   ],
   [
    9.0,
    9.0
   ],
   [
    0.0,
    0.0
   ],
   [
    0.0,
    1.0
   ],
   [
    0.0,
    2.0
   ],
   [
    0.0,
    3.0
   ],
   [
    0.0,
    4.0
   ],
   [
    0.0,
    5.0
   ],
   [
    0.0,
    6.0
   ],
   [
    0.0,
    7.0
   ],
   [
    0.0,
    9.0
   ],
   [
    1.0,
    0.0
   ],
   [
    1.0,
    1.0
   ],
   [
    1.0,
    2.0
   ],
   [
    1.0,
    3.0
   ],
   [
    1.0,
    4.0
   ],
   [
    1.0,
    5.0
   ],
   [
    1.0,
    6.0
   ],
   [
    1.0,
    7.0
   ],
   [
    1.0,
    8.0
   ],
   [
    1.0,
    9.0
   ],
   [
    2.0,
    0.0
   ],
   [
    2.0,
    1.0
   ],
   [
    2.0,
    2.0
   ],
   [
    2.0,
    3.0
   ],
   [
    2.0,
    4.0
   ],
   [
    2.0,
    5.0
   ],
   [
    2.0,
    6.0
   ],
   [
    2.0,
    7.0
   ],
   [
    2.0,
    8.0
   ],
   [
    2.0,
    9.0
   ],
   [
    3.0,
    0.0
   ],
   [
    3.0,
    1.0
   ],
   [
    3.0,
    2.0
   ],
   [
    3.0,
    3.0
   ],
   [
    3.0,
    4.0
   ],
   [
    3.0,
    5.0
   ],
   [
    3.0,
    6.0
   ],
   [
    3.0,
    7.0
   ],
   [
    3.0,
    8.0
   ],
   [
    3.0,
    9.0
   ],
   [
    4.0,
    0.0
   ],
   [
    4.0,
    1.0
   ],
   [
    4.0,
    2.0
   ],
   [
    4.0,
    3.0
   ],
   [
    4.0,
    4.0
   ],
   [
    4.0,
    5.0
   ],
   [
    4.0,
    6.0
   ],
   [
    4.0,
    7.0
   ],
   [
    4.0,
    8.0
   ],
   [
    4.0,
    9.0
   ],
   [
    5.0,
    0.0
   ],
   [
    5.0,
    1.0
   ],
   [
    5.0,
    2.0
   ],
   [
    5.0,
    3.0
   ],
   [
    5.0,
    4.0
   ],
   [
    5.0,
    5.0
   ],
   [
    5.0,
    6.0
   ],
   [
    5.0,
    7.0
   ],
   [
    5.0,
    8.0
   ],
   [
    5.0,
    9.0
   ],
   [
    6.0,
    0.0
   ],
   [
    6.0,
    1.0
   ],
   [
    6.0,
    2.0
   ],
   [
    6.0,
    3.0
   ],
   [
    6.0,
    4.0
   ],
   [
    6.0,
    5.0
   ],
   [
    6.0,
    6.0
   ],
   [
    6.0,
    7.0
   ],
   [
    6.0,
    8.0
   ],
   [
    6.0,
    9.0
   ],
   [
    7.0,
    0.0
   ],
   [
    7.0,
    1.0
   ],
   [
    7.0,
    2.0
   ],
   [
    7.0,
    3.0
   ],
   [
    7.0,
    4.0
   ],
   [
    7.0,
    5.0
   ],
   [
    7.0,
    6.0
   ],
   [
    7.0,
    7.0
   ],
   [
    7.0,
    8.0
   ],
   [
    7.0,
    9.0
   ],
   [
    8.0,
    0.0
   ],
   [
    8.0,
    1.0
   ],
   [
    8.0,
    2.0
   ],
   [
    8.0,
    3.0
   ],
   [
    8.0,
    4.0
   ],
   [
    8.0,
    5.0
   ],
   [
    8.0,
    6.0
   ],
   [
    8.0,
    7.0
   ],
   [
    8.0,
    8.0
   ],
   [
    8.0,
    9.0
   ],
   [
    9.0,
    0.0
   ],
   [
    9.0,
    1.0
   ],
   [
    9.0,
    2.0
   ],
   [
    9.0,
    3.0
   ],
   [
    9.0,
    4.0
   ],
   [
    9.0,
    5.0
   ],
   [
    9.0,
    6.0
   ],
   [
    9.0,
    7.0
   ],
   [
    9.0,
    8.0
   ],
   [
    9.0,
    9.0
   ]
  ],
  "interaction_radius": 2.8284271247461903,
  "layers": 2
 }
}