{
 "schema_version": "0.3",
 "name": "[[198,22,7]]",
 "code_type": "CSS",
 "n": 198,
 "k": 22,
 "checks": {
  "X": [
   [
    0,
    1,
    27,
    32,
    99,
    106
   ],
   [
    1,
    2,
    28,
    33,
    100,
    107
   ],
   [
    2,
    3,
    29,
    34,
    99,
    101
   ],
   [
    3,
    4,
    30,
    35,
    100,
    102
   ],
   [
    4,
    5,
    27,
    31,
    101,
    103
   ],
   [
    5,
    6,
    28,
    32,
    102,
    104
   ],
   [
    6,
    7,
    29,
    33,
    103,
    105
   ],
   [
    7,
    8,
    30,
    34,
    104,
    106
   ],
   [
    0,
    8,
    31,
    35,
    105,
    107
   ],
   [
    9,
    10,
    54,
    59,
    108,
    115
   ],
   [
    10,
    11,
    55,
    60,
    109,
    116
   ],
   [
    11,
    12,
    56,
    61,
    108,
    110
   ],
   [
    12,
    13,
    57,
    62,
    109,
    111
   ],
   [
    13,
    14,
    54,
    58,
    110,
    112
   ],
   [
    14,
    15,
    55,
    59,
    111,
    113
   ],
   [
    15,
    16,
    56,
    60,
    112,
    114
   ],
   [
    16,
    17,
    57,
    61,
    113,
    115
   ],
   [
    9,
    17,
    58,
    62,
    114,
    116
   ],
   [
    0,
    5,
    18,
    19,
    117,
    124
   ],
   [
    1,
    6,
    19,
    20,
    118,
    125
   ],
   [
    2,
    7,
    20,
    21,
    117,
    119
   ],
   [
    3,
    8,
    21,
    22,
    118,
    120
   ],
   [
    0,
    4,
    22,
    23,
    119,
    121
   ],
   [
    1,
    5,
    23,
    24,
    120,
    122
   ],
   [
    2,
    6,
    24,
    25,
    121,
    123
   ],
   [
    3,
    7,
    25,
    26,
    122,
    124
   ],
   [
    4,
    8,
    18,
    26,
    123,
    125
   ],
   [
    27,
    28,
    72,
    77,
    126,
    133
   ],
   [
    28,
    29,
    73,
    78,
    127,
    134
   ],
   [
    29,
    30,
    74,
    79,
    126,
    128
   ],
   [
    30,
    31,
    75,
    80,
    127,
    129
   ],
   [
    31,
    32,
    72,
    76,
    128,
    130
   ],
   [
    32,
    33,
    73,
    77,
    129,
    131
   ],
   [
    33,
    34,
    74,
    78,
    130,
    132
   ],
   [
    34,
    35,
    75,
    79,
    131,
    133
   ],
   [
    27,
    35,
    76,
    80,
    132,
    134
   ],
   [
    9,
    14,
    36,
    37,
    135,
    142
   ],
   [
    10,
    15,
    37,
    38,
    136,
    143
   ],
   [
    11,
    16,
    38,
    39,
    135,
    137
   ],
   [
    12,
    17,
    39,
    40,
    136,
    138
   ],
   [
    9,
    13,
    40,
    41,
    137,
    139
   ],
   [
    10,
    14,
    41,
    42,
    138,
    140
   ],
   [
    11,
    15,
    42,
    43,
    139,
    141
   ],
   [
    12,
    16,
    43,
    44,
    140,
    142
   ],
   [
    13,
    17,
    36,
    44,
    141,
    143
   ],
   [
    36,
    41,
    45,
    46,
    144,
    151
   ],
   [
    37,
    42,
    46,
    47,
    145,
    152
   ],
   [
    38,
    43,
    47,
    48,
    144,
    146
   ],
   [
    39,
    44,
    48,
    49,
    145,
    147
   ],
   [
    36,
    40,
    49,
    50,
    146,
    148
   ],
   [
    37,
    41,
    50,
    51,
    147,
    149
   ],
   [
    38,
    42,
    51,
    52,
    148,
    150
   ],
   [
    39,
    43,
    52,
    53,
    149,
    151
   ],
   [
    40,
    44,
    45,
    53,
    150,
    152
   ],
   [
    54,
    55,
    90,
    95,
    153,
    160
   ],
   [
    55,
    56,
    91,
    96,
    154,
    161
   ],
   [
    56,
    57,
    92,
    97,
    153,
    155
   ],
   [
    57,
    58,
    93,
    98,
    154,
    156
   ],
   [
    58,
    59,
    90,
    94,
    155,
    157
   ],
   [
    59,
    60,
    91,
    95,
    156,
    158
   ],
   [
    60,
    61,
    92,
    96,
    157,
    159
   ],
   [
    61,
    62,
    93,
    97,
    158,
    160
   ],
   [
    54,
    62,
    94,
    98,
    159,
    161
   ],
   [
    18,
    23,
    63,
    64,
    162,
    169
   ],
   [
    19,
    24,
    64,
    65,
    163,
    170
   ],
   [
    20,
    25,
    65,
    66,
    162,
    164
   ],
   [
    21,
    26,
    66,
    67,
    163,
    165
   ],
   [
    18,
    22,
    67,
    68,
    164,
    166
   ],
   [
    19,
    23,
    68,
    69,
    165,
    167
   ],
   [
    20,
    24,
    69,
    70,
    166,
    168
   ],
   [
    21,
    25,
    70,
    71,
    167,
    169
   ],
   [
    22,
    26,
    63,
    71,
    168,
    170
   ],
   [
    72,
    73,
    81,
    86,
    171,
    178
   ],
   [
    73,
    74,
    82,
    87,
    172,
    179
   ],
   [
    74,
    75,
    83,
    88,
    171,
    173
   ],
   [
    75,
    76,
    84,
    89,
    172,
    174
   ],
   [
    76,
    77,
    81,
    85,
    173,
    175
   ],
   [
    77,
    78,
    82,
    86,
    174,
    176
   ],
   [
    78,
    79,
    83,
    87,
    175,
    177
   ],
   [
    79,
    80,
    84,
    88,
    176,
    178
   ],
   [
    72,
    80,
    85,
    89,
    177,
    179
   ],
   [
    45,
    50,
    81,
    82,
    180,
    187
   ],
   [
    46,
    51,
    82,
    83,
    181,
    188
   ],
   [
    47,
    52,
    83,
    84,
    180,
    182
   ],
   [
    48,
    53,
    84,
    85,
    181,
    183
   ],
   [
    45,
    49,
    85,
    86,
    182,
    184
   ],
   [
    46,
    50,
    86,
    87,
    183,
    185
   ],
   [
    47,
    51,
    87,
    88,
    184,
    186
   ],
   [
    48,
    52,
    88,
    89,
    185,
    187
   ],
   [
    49,
    53,
    81,
    89,
    186,
    188
   ],
   [
    63,
    68,
    90,
    91,
    189,
    196
   ],
   [
    64,
    69,
    91,
    92,
    190,
    197
   ],
   [
    65,
    70,
    92,
    93,
    189,
    191
   ],
   [
    66,
    71,
    93,
    94,
    190,
    192
   ],
   [
    63,
    67,
    94,
    95,
    191,
    193
   ],
   [
    64,
    68,
    95,
    96,
    192,
    194
   ],
   [
    65,
    69,
    96,
    97,
    193,
    195
   ],
   [
    66,
    70,
    97,
    98,
    194,
    196
   ],
   [
    67,
    71,
    90,
    98,
    195,
    197
   ]
  ],
  "Z": [
   [
    0,
    2,
    99,
    107,
    117,
    121
   ],
   [
    1,
    3,
    99,
    100,
    118,
    122
   ],
   [
    2,
    4,
    100,
    101,
    119,
    123
   ],
   [
    3,
    5,
    101,
    102,
    120,
    124
   ],
   [
    4,
    6,
    102,
    103,
    121,
    125
   ],
   [
    5,
    7,
    103,
    104,
    117,
    122
   ],
   [
    6,
    8,
    104,
    105,
    118,
    123
   ],
   [
    0,
    7,
    105,
    106,
    119,
    124
   ],
   [
    1,
    8,
    106,
    107,
    120,
    125
   ],
   [
    9,
    11,
    108,
    116,
    135,
    139
   ],
   [
    10,
    12,
    108,
    109,
    136,
    140
   ],
   [
    11,
    13,
    109,
    110,
    137,
    141
   ],
   [
    12,
    14,
    110,
    111,
    138,
    142
   ],
   [
    13,
    15,
    111,
    112,
    139,
    143
   ],
   [
    14,
    16,
    112,
    113,
    135,
    140
   ],
   [
    15,
    17,
    113,
    114,
    136,
    141
   ],
   [
    9,
    16,
    114,
    115,
    137,
    142
   ],
   [
    10,
    17,
    115,
    116,
    138,
    143
   ],
   [
    18,
    20,
    117,
    125,
    162,
    166
   ],
   [
    19,
    21,
    117,
    118,
    163,
    167
   ],
   [
    20,
    22,
    118,
    119,
    164,
    168
   ],
   [
    21,
    23,
    119,
    120,
    165,
    169
   ],
   [
    22,
    24,
    120,
    121,
    166,
    170
   ],
   [
    23,
    25,
    121,
    122,
    162,
    167
   ],
   [
    24,
    26,
    122,
    123,
    163,
    168
   ],
   [
    18,
    25,
    123,
    124,
    164,
    169
   ],
   [
    19,
    26,
    124,
    125,
    165,
    170
   ],
   [
    27,
    29,
    99,
    103,
    126,
    134
   ],
   [
    28,
    30,
    100,
    104,
    126,
    127
   ],
   [
    29,
    31,
    101,
    105,
    127,
    128
   ],
   [
    30,
    32,
    102,
    106,
    128,
    129
   ],
   [
    31,
    33,
    103,
    107,
    129,
    130
   ],
   [
    32,
    34,
    99,
    104,
    130,
    131
   ],
   [
    33,
    35,
    100,
    105,
    131,
    132
   ],
   [
    27,
    34,
    101,
    106,
    132,
    133
   ],
   [
    28,
    35,
    102,
    107,
    133,
    134
   ],
   [
    36,
    38,
    135,
    143,
    144,
    148
   ],
   [
    37,
    39,
    135,
    136,
    145,
    149
   ],
   [
    38,
    40,
    136,
    137,
    146,
    150
   ],
   [
    39,
    41,
    137,
    138,
    147,
    151
   ],
   [
    40,
    42,
    138,
    139,
    148,
    152
   ],
   [
    41,
    43,
    139,
    140,
    144,
    149
   ],
   [
    42,
    44,
    140,
    141,
    145,
    150
   ],
   [
    36,
    43,
    141,
    142,
    146,
    151
   ],
   [
    37,
    44,
    142,
    143,
    147,
    152
   ],
   [
    45,
    47,
    144,
    152,
    180,
    184
   ],
   [
    46,
    48,
    144,
    145,
    181,
    185
   ],
   [
    47,
    49,
    145,
    146,
    182,
    186
   ],
   [
    48,
    50,
    146,
    147,
    183,
    187
   ],
   [
    49,
    51,
    147,
    148,
    184,
    188
   ],
   [
    50,
    52,
    148,
    149,
    180,
    185
   ],
   [
    51,
    53,
    149,
    150,
    181,
    186
   ],
   [
    45,
    52,
    150,
    151,
    182,
    187
   ],
   [
    46,
    53,
    151,
    152,
    183,
    188
   ],
   [
    54,
    56,
    108,
    112,
    153,
    161
   ],
   [
    55,
    57,
    109,
    113,
    153,
    154
   ],
   [
    56,
    58,
    110,
    114,
    154,
    155
   ],
   [
    57,
    59,
    111,
    115,
    155,
    156
   ],
   [
    58,
    60,
    112,
    116,
    156,
    157
   ],
   [
    59,
    61,
    108,
    113,
    157,
    158
   ],
   [
    60,
    62,
    109,
    114,
    158,
    159
   ],
   [
    54,
    61,
    110,
    115,
    159,
    160
   ],
   [
    55,
    62,
    111,
    116,
    160,
    161
   ],
   [
    63,
    65,
    162,
    170,
    189,
    193
   ],
   [
    64,
    66,
    162,
    163,
    190,
    194
   ],
   [
    65,
    67,
    163,
    164,
    191,
    195
   ],
   [
    66,
    68,
    164,
    165,
    192,
    196
   ],
   [
    67,
    69,
    165,
    166,
    193,
    197
   ],
   [
    68,
    70,
    166,
    167,
    189,
    194
   ],
   [
    69,
    71,
    167,
    168,
    190,
    195
   ],
   [
    63,
    70,
    168,
    169,
    191,
    196
   ],
   [
    64,
    71,
    169,
    170,
    192,
    197
   ],
   [
    72,
    74,
    126,
    130,
    171,
    179
   ],
   [
    73,
    75,
    127,
    131,
    171,
    172
   ],
   [
    74,
    76,
    128,
    132,
    172,
    173
   ],
   [
    75,
    77,
    129,
    133,
    173,
    174
   ],
   [
    76,
    78,
    130,
    134,
    174,
    175
   ],
   [
    77,
    79,
    126,
    131,
    175,
    176
   ],
   [
    78,
    80,
    127,
    132,
    176,
    177
   ],
   [
    72,
    79,
    128,
    133,
    177,
    178
   ],
   [
    73,
    80,
    129,
    134,
    178,
    179
   ],
   [
    81,
    83,
    171,
    175,
    180,
    188
   ],
   [
    82,
    84,
    172,
    176,
    180,
    181
   ],
   [
    83,
    85,
    173,
    177,
    181,
    182
   ],
   [
    84,
    86,
    174,
    178,
    182,
    183
   ],
   [
    85,
    87,
    175,
    179,
    183,
    184
   ],
   [
    86,
    88,
    171,
    176,
    184,
    185
   ],
   [
    87,
    89,
    172,
    177,
    185,
    186
   ],
   [
    81,
    88,
    173,
    178,
    186,
    187
   ],
   [
    82,
    89,
    174,
    179,
    187,
    188
   ],
   [
    90,
    92,
    153,
    157,
    189,
    197
   ],
   [
    91,
    93,
    154,
    158,
    189,
    190
   ],
   [
    92,
    94,
    155,
    159,
    190,
    191
   ],
   [
    93,
    95,
    156,
    160,
    191,
    192
   ],
   [
    94,
    96,
    157,
    161,
    192,
    193
   ],
   [
    95,
    97,
    153,
    158,
    193,
    194
   ],
   [
    96,
    98,
    154,
    159,
    194,
    195
   ],
   [
    90,
    97,
    155,
    160,
    195,
    196
   ],
   [
    91,
    98,
    156,
    161,
    196,
    197
   ]
  ]
 },
 "distance": {
  "d": 7,
  "X": {
   "value": 7,
   "confidence": "upper_bound",
   "witness": [
    17,
    58,
    59,
    60,
    61,
    114,
    115
   ]
  },
  "Z": {
   "value": 7,
   "confidence": "upper_bound",
   "witness": [
    56,
    57,
    61,
    62,
    114,
    154,
    159
   ]
  }
 },
 "provenance": {
  "authors": [
   "@FarLab"
  ],
  "construction": "2BGA coset code on D11xC9 (order 198) / H=[0, 63]: a = [0, 8, 117, 121], b in N_G(H) = [0, 65]",
  "origin": "submission",
  "date": "2026-10-17",
  "model": "Claude Opus 5.5",
  "search_budget": {
   "candidates_screened": 84290,
   "ris_trials_per_side": 4000000,
   "cpu_hours": 14.1,
   "tool": "research/kit/search.py + gf2_fast on Brev n2d-highcpu-64"
  }
 },
 "family": "2bga-coset",
 "circuit": {
  "d_circ": {
   "Z": {
    "value": 6,
    "confidence": "upper_bound",
    "witness": [
     4159,
     4161,
     7219,
     7222,
     12139,
     12173
    ]
   },
   "X": {
    "value": 6,
    "confidence": "upper_bound",
    "witness": [
     51218,
     51254,
     51267,
     51289,
     51399,
     51430
    ]
   }
  },
  "rounds": 7,
  "stim_version": "1.16.0",
  "notes": "Interleaved two-block extraction (Bravyi et al. arXiv:2308.07915 Table 5 style): joint reset and measurement layers, 7 CX layers per round; X-check term slots [6, 4, 3, 2, 5, 1], Z-check term slots [0, 3, 4, 2, 1, 5] over terms A_0..A_3, B_0..B_1; terms recovered from H alone by a commuting permutation decomposition; generated by qldpc submit (research/circuit_autogen.py, seed 0), the first of up to 6 candidates whose RIS screen at 2 rounds found nothing below d; witnesses from RIS on ker(H_dem) at twice the gate's trial budget, validated in GF(2)"
 }
}
