{
 "schema_version": "0.1",
 "name": "[[224,22,16]]",
 "code_type": "CSS",
 "n": 224,
 "k": 22,
 "checks": {
  "X": [
   [
    2,
    94,
    105,
    108,
    115,
    145,
    159,
    204
   ],
   [
    3,
    95,
    106,
    109,
    112,
    146,
    156,
    205
   ],
   [
    0,
    92,
    107,
    110,
    113,
    147,
    157,
    206
   ],
   [
    1,
    93,
    104,
    111,
    114,
    144,
    158,
    207
   ],
   [
    0,
    6,
    98,
    109,
    119,
    149,
    163,
    208
   ],
   [
    1,
    7,
    99,
    110,
    116,
    150,
    160,
    209
   ],
   [
    2,
    4,
    96,
    111,
    117,
    151,
    161,
    210
   ],
   [
    3,
    5,
    97,
    108,
    118,
    148,
    162,
    211
   ],
   [
    1,
    4,
    10,
    102,
    123,
    153,
    167,
    212
   ],
   [
    2,
    5,
    11,
    103,
    120,
    154,
    164,
    213
   ],
   [
    3,
    6,
    8,
    100,
    121,
    155,
    165,
    214
   ],
   [
    0,
    7,
    9,
    101,
    122,
    152,
    166,
    215
   ],
   [
    5,
    8,
    14,
    106,
    127,
    157,
    171,
    216
   ],
   [
    6,
    9,
    15,
    107,
    124,
    158,
    168,
    217
   ],
   [
    7,
    10,
    12,
    104,
    125,
    159,
    169,
    218
   ],
   [
    4,
    11,
    13,
    105,
    126,
    156,
    170,
    219
   ],
   [
    9,
    12,
    18,
    110,
    131,
    161,
    175,
    220
   ],
   [
    10,
    13,
    19,
    111,
    128,
    162,
    172,
    221
   ],
   [
    11,
    14,
    16,
    108,
    129,
    163,
    173,
    222
   ],
   [
    8,
    15,
    17,
    109,
    130,
    160,
    174,
    223
   ],
   [
    2,
    13,
    16,
    22,
    112,
    135,
    165,
    179
   ],
   [
    3,
    14,
    17,
    23,
    113,
    132,
    166,
    176
   ],
   [
    0,
    15,
    18,
    20,
    114,
    133,
    167,
    177
   ],
   [
    1,
    12,
    19,
    21,
    115,
    134,
    164,
    178
   ],
   [
    6,
    17,
    20,
    26,
    116,
    139,
    169,
    183
   ],
   [
    7,
    18,
    21,
    27,
    117,
    136,
    170,
    180
   ],
   [
    4,
    19,
    22,
    24,
    118,
    137,
    171,
    181
   ],
   [
    5,
    16,
    23,
    25,
    119,
    138,
    168,
    182
   ],
   [
    10,
    21,
    24,
    30,
    120,
    143,
    173,
    187
   ],
   [
    11,
    22,
    25,
    31,
    121,
    140,
    174,
    184
   ],
   [
    8,
    23,
    26,
    28,
    122,
    141,
    175,
    185
   ],
   [
    9,
    20,
    27,
    29,
    123,
    142,
    172,
    186
   ],
   [
    14,
    25,
    28,
    34,
    124,
    147,
    177,
    191
   ],
   [
    15,
    26,
    29,
    35,
    125,
    144,
    178,
    188
   ],
   [
    12,
    27,
    30,
    32,
    126,
    145,
    179,
    189
   ],
   [
    13,
    24,
    31,
    33,
    127,
    146,
    176,
    190
   ],
   [
    18,
    29,
    32,
    38,
    128,
    151,
    181,
    195
   ],
   [
    19,
    30,
    33,
    39,
    129,
    148,
    182,
    192
   ],
   [
    16,
    31,
    34,
    36,
    130,
    149,
    183,
    193
   ],
   [
    17,
    28,
    35,
    37,
    131,
    150,
    180,
    194
   ],
   [
    22,
    33,
    36,
    42,
    132,
    155,
    185,
    199
   ],
   [
    23,
    34,
    37,
    43,
    133,
    152,
    186,
    196
   ],
   [
    20,
    35,
    38,
    40,
    134,
    153,
    187,
    197
   ],
   [
    21,
    32,
    39,
    41,
    135,
    154,
    184,
    198
   ],
   [
    26,
    37,
    40,
    46,
    136,
    159,
    189,
    203
   ],
   [
    27,
    38,
    41,
    47,
    137,
    156,
    190,
    200
   ],
   [
    24,
    39,
    42,
    44,
    138,
    157,
    191,
    201
   ],
   [
    25,
    36,
    43,
    45,
    139,
    158,
    188,
    202
   ],
   [
    30,
    41,
    44,
    50,
    140,
    163,
    193,
    207
   ],
   [
    31,
    42,
    45,
    51,
    141,
    160,
    194,
    204
   ],
   [
    28,
    43,
    46,
    48,
    142,
    161,
    195,
    205
   ],
   [
    29,
    40,
    47,
    49,
    143,
    162,
    192,
    206
   ],
   [
    34,
    45,
    48,
    54,
    144,
    167,
    197,
    211
   ],
   [
    35,
    46,
    49,
    55,
    145,
    164,
    198,
    208
   ],
   [
    32,
    47,
    50,
    52,
    146,
    165,
    199,
    209
   ],
   [
    33,
    44,
    51,
    53,
    147,
    166,
    196,
    210
   ],
   [
    38,
    49,
    52,
    58,
    148,
    171,
    201,
    215
   ],
   [
    39,
    50,
    53,
    59,
    149,
    168,
    202,
    212
   ],
   [
    36,
    51,
    54,
    56,
    150,
    169,
    203,
    213
   ],
   [
    37,
    48,
    55,
    57,
    151,
    170,
    200,
    214
   ],
   [
    42,
    53,
    56,
    62,
    152,
    175,
    205,
    219
   ],
   [
    43,
    54,
    57,
    63,
    153,
    172,
    206,
    216
   ],
   [
    40,
    55,
    58,
    60,
    154,
    173,
    207,
    217
   ],
   [
    41,
    52,
    59,
    61,
    155,
    174,
    204,
    218
   ],
   [
    46,
    57,
    60,
    66,
    156,
    179,
    209,
    223
   ],
   [
    47,
    58,
    61,
    67,
    157,
    176,
    210,
    220
   ],
   [
    44,
    59,
    62,
    64,
    158,
    177,
    211,
    221
   ],
   [
    45,
    56,
    63,
    65,
    159,
    178,
    208,
    222
   ],
   [
    50,
    61,
    64,
    70,
    115,
    160,
    183,
    213
   ],
   [
    51,
    62,
    65,
    71,
    112,
    161,
    180,
    214
   ],
   [
    48,
    63,
    66,
    68,
    113,
    162,
    181,
    215
   ],
   [
    49,
    60,
    67,
    69,
    114,
    163,
    182,
    212
   ],
   [
    54,
    65,
    68,
    74,
    119,
    164,
    187,
    217
   ],
   [
    55,
    66,
    69,
    75,
    116,
    165,
    184,
    218
   ],
   [
    52,
    67,
    70,
    72,
    117,
    166,
    185,
    219
   ],
   [
    53,
    64,
    71,
    73,
    118,
    167,
    186,
    216
   ],
   [
    58,
    69,
    72,
    78,
    123,
    168,
    191,
    221
   ],
   [
    59,
    70,
    73,
    79,
    120,
    169,
    188,
    222
   ],
   [
    56,
    71,
    74,
    76,
    121,
    170,
    189,
    223
   ],
   [
    57,
    68,
    75,
    77,
    122,
    171,
    190,
    220
   ],
   [
    62,
    73,
    76,
    82,
    113,
    127,
    172,
    195
   ],
   [
    63,
    74,
    77,
    83,
    114,
    124,
    173,
    192
   ],
   [
    60,
    75,
    78,
    80,
    115,
    125,
    174,
    193
   ],
   [
    61,
    72,
    79,
    81,
    112,
    126,
    175,
    194
   ],
   [
    66,
    77,
    80,
    86,
    117,
    131,
    176,
    199
   ],
   [
    67,
    78,
    81,
    87,
    118,
    128,
    177,
    196
   ],
   [
    64,
    79,
    82,
    84,
    119,
    129,
    178,
    197
   ],
   [
    65,
    76,
    83,
    85,
    116,
    130,
    179,
    198
   ],
   [
    70,
    81,
    84,
    90,
    121,
    135,
    180,
    203
   ],
   [
    71,
    82,
    85,
    91,
    122,
    132,
    181,
    200
   ],
   [
    68,
    83,
    86,
    88,
    123,
    133,
    182,
    201
   ],
   [
    69,
    80,
    87,
    89,
    120,
    134,
    183,
    202
   ],
   [
    74,
    85,
    88,
    94,
    125,
    139,
    184,
    207
   ],
   [
    75,
    86,
    89,
    95,
    126,
    136,
    185,
    204
   ],
   [
    72,
    87,
    90,
    92,
    127,
    137,
    186,
    205
   ],
   [
    73,
    84,
    91,
    93,
    124,
    138,
    187,
    206
   ],
   [
    78,
    89,
    92,
    98,
    129,
    143,
    188,
    211
   ],
   [
    79,
    90,
    93,
    99,
    130,
    140,
    189,
    208
   ],
   [
    76,
    91,
    94,
    96,
    131,
    141,
    190,
    209
   ],
   [
    77,
    88,
    95,
    97,
    128,
    142,
    191,
    210
   ],
   [
    82,
    93,
    96,
    102,
    133,
    147,
    192,
    215
   ],
   [
    83,
    94,
    97,
    103,
    134,
    144,
    193,
    212
   ],
   [
    80,
    95,
    98,
    100,
    135,
    145,
    194,
    213
   ],
   [
    81,
    92,
    99,
    101,
    132,
    146,
    195,
    214
   ],
   [
    86,
    97,
    100,
    106,
    137,
    151,
    196,
    219
   ],
   [
    87,
    98,
    101,
    107,
    138,
    148,
    197,
    216
   ],
   [
    84,
    99,
    102,
    104,
    139,
    149,
    198,
    217
   ],
   [
    85,
    96,
    103,
    105,
    136,
    150,
    199,
    218
   ],
   [
    90,
    101,
    104,
    110,
    141,
    155,
    200,
    223
   ],
   [
    91,
    102,
    105,
    111,
    142,
    152,
    201,
    220
   ],
   [
    88,
    103,
    106,
    108,
    143,
    153,
    202,
    221
   ],
   [
    89,
    100,
    107,
    109,
    140,
    154,
    203,
    222
   ]
  ],
  "Z": [
   [
    1,
    20,
    69,
    83,
    114,
    116,
    123,
    134
   ],
   [
    2,
    21,
    70,
    80,
    115,
    117,
    120,
    135
   ],
   [
    3,
    22,
    71,
    81,
    112,
    118,
    121,
    132
   ],
   [
    0,
    23,
    68,
    82,
    113,
    119,
    122,
    133
   ],
   [
    5,
    24,
    73,
    87,
    118,
    120,
    127,
    138
   ],
   [
    6,
    25,
    74,
    84,
    119,
    121,
    124,
    139
   ],
   [
    7,
    26,
    75,
    85,
    116,
    122,
    125,
    136
   ],
   [
    4,
    27,
    72,
    86,
    117,
    123,
    126,
    137
   ],
   [
    9,
    28,
    77,
    91,
    122,
    124,
    131,
    142
   ],
   [
    10,
    29,
    78,
    88,
    123,
    125,
    128,
    143
   ],
   [
    11,
    30,
    79,
    89,
    120,
    126,
    129,
    140
   ],
   [
    8,
    31,
    76,
    90,
    121,
    127,
    130,
    141
   ],
   [
    13,
    32,
    81,
    95,
    126,
    128,
    135,
    146
   ],
   [
    14,
    33,
    82,
    92,
    127,
    129,
    132,
    147
   ],
   [
    15,
    34,
    83,
    93,
    124,
    130,
    133,
    144
   ],
   [
    12,
    35,
    80,
    94,
    125,
    131,
    134,
    145
   ],
   [
    17,
    36,
    85,
    99,
    130,
    132,
    139,
    150
   ],
   [
    18,
    37,
    86,
    96,
    131,
    133,
    136,
    151
   ],
   [
    19,
    38,
    87,
    97,
    128,
    134,
    137,
    148
   ],
   [
    16,
    39,
    84,
    98,
    129,
    135,
    138,
    149
   ],
   [
    21,
    40,
    89,
    103,
    134,
    136,
    143,
    154
   ],
   [
    22,
    41,
    90,
    100,
    135,
    137,
    140,
    155
   ],
   [
    23,
    42,
    91,
    101,
    132,
    138,
    141,
    152
   ],
   [
    20,
    43,
    88,
    102,
    133,
    139,
    142,
    153
   ],
   [
    25,
    44,
    93,
    107,
    138,
    140,
    147,
    158
   ],
   [
    26,
    45,
    94,
    104,
    139,
    141,
    144,
    159
   ],
   [
    27,
    46,
    95,
    105,
    136,
    142,
    145,
    156
   ],
   [
    24,
    47,
    92,
    106,
    137,
    143,
    146,
    157
   ],
   [
    29,
    48,
    97,
    111,
    142,
    144,
    151,
    162
   ],
   [
    30,
    49,
    98,
    108,
    143,
    145,
    148,
    163
   ],
   [
    31,
    50,
    99,
    109,
    140,
    146,
    149,
    160
   ],
   [
    28,
    51,
    96,
    110,
    141,
    147,
    150,
    161
   ],
   [
    3,
    33,
    52,
    101,
    146,
    148,
    155,
    166
   ],
   [
    0,
    34,
    53,
    102,
    147,
    149,
    152,
    167
   ],
   [
    1,
    35,
    54,
    103,
    144,
    150,
    153,
    164
   ],
   [
    2,
    32,
    55,
    100,
    145,
    151,
    154,
    165
   ],
   [
    7,
    37,
    56,
    105,
    150,
    152,
    159,
    170
   ],
   [
    4,
    38,
    57,
    106,
    151,
    153,
    156,
    171
   ],
   [
    5,
    39,
    58,
    107,
    148,
    154,
    157,
    168
   ],
   [
    6,
    36,
    59,
    104,
    149,
    155,
    158,
    169
   ],
   [
    11,
    41,
    60,
    109,
    154,
    156,
    163,
    174
   ],
   [
    8,
    42,
    61,
    110,
    155,
    157,
    160,
    175
   ],
   [
    9,
    43,
    62,
    111,
    152,
    158,
    161,
    172
   ],
   [
    10,
    40,
    63,
    108,
    153,
    159,
    162,
    173
   ],
   [
    1,
    15,
    45,
    64,
    158,
    160,
    167,
    178
   ],
   [
    2,
    12,
    46,
    65,
    159,
    161,
    164,
    179
   ],
   [
    3,
    13,
    47,
    66,
    156,
    162,
    165,
    176
   ],
   [
    0,
    14,
    44,
    67,
    157,
    163,
    166,
    177
   ],
   [
    5,
    19,
    49,
    68,
    162,
    164,
    171,
    182
   ],
   [
    6,
    16,
    50,
    69,
    163,
    165,
    168,
    183
   ],
   [
    7,
    17,
    51,
    70,
    160,
    166,
    169,
    180
   ],
   [
    4,
    18,
    48,
    71,
    161,
    167,
    170,
    181
   ],
   [
    9,
    23,
    53,
    72,
    166,
    168,
    175,
    186
   ],
   [
    10,
    20,
    54,
    73,
    167,
    169,
    172,
    187
   ],
   [
    11,
    21,
    55,
    74,
    164,
    170,
    173,
    184
   ],
   [
    8,
    22,
    52,
    75,
    165,
    171,
    174,
    185
   ],
   [
    13,
    27,
    57,
    76,
    170,
    172,
    179,
    190
   ],
   [
    14,
    24,
    58,
    77,
    171,
    173,
    176,
    191
   ],
   [
    15,
    25,
    59,
    78,
    168,
    174,
    177,
    188
   ],
   [
    12,
    26,
    56,
    79,
    169,
    175,
    178,
    189
   ],
   [
    17,
    31,
    61,
    80,
    174,
    176,
    183,
    194
   ],
   [
    18,
    28,
    62,
    81,
    175,
    177,
    180,
    195
   ],
   [
    19,
    29,
    63,
    82,
    172,
    178,
    181,
    192
   ],
   [
    16,
    30,
    60,
    83,
    173,
    179,
    182,
    193
   ],
   [
    21,
    35,
    65,
    84,
    178,
    180,
    187,
    198
   ],
   [
    22,
    32,
    66,
    85,
    179,
    181,
    184,
    199
   ],
   [
    23,
    33,
    67,
    86,
    176,
    182,
    185,
    196
   ],
   [
    20,
    34,
    64,
    87,
    177,
    183,
    186,
    197
   ],
   [
    25,
    39,
    69,
    88,
    182,
    184,
    191,
    202
   ],
   [
    26,
    36,
    70,
    89,
    183,
    185,
    188,
    203
   ],
   [
    27,
    37,
    71,
    90,
    180,
    186,
    189,
    200
   ],
   [
    24,
    38,
    68,
    91,
    181,
    187,
    190,
    201
   ],
   [
    29,
    43,
    73,
    92,
    186,
    188,
    195,
    206
   ],
   [
    30,
    40,
    74,
    93,
    187,
    189,
    192,
    207
   ],
   [
    31,
    41,
    75,
    94,
    184,
    190,
    193,
    204
   ],
   [
    28,
    42,
    72,
    95,
    185,
    191,
    194,
    205
   ],
   [
    33,
    47,
    77,
    96,
    190,
    192,
    199,
    210
   ],
   [
    34,
    44,
    78,
    97,
    191,
    193,
    196,
    211
   ],
   [
    35,
    45,
    79,
    98,
    188,
    194,
    197,
    208
   ],
   [
    32,
    46,
    76,
    99,
    189,
    195,
    198,
    209
   ],
   [
    37,
    51,
    81,
    100,
    194,
    196,
    203,
    214
   ],
   [
    38,
    48,
    82,
    101,
    195,
    197,
    200,
    215
   ],
   [
    39,
    49,
    83,
    102,
    192,
    198,
    201,
    212
   ],
   [
    36,
    50,
    80,
    103,
    193,
    199,
    202,
    213
   ],
   [
    41,
    55,
    85,
    104,
    198,
    200,
    207,
    218
   ],
   [
    42,
    52,
    86,
    105,
    199,
    201,
    204,
    219
   ],
   [
    43,
    53,
    87,
    106,
    196,
    202,
    205,
    216
   ],
   [
    40,
    54,
    84,
    107,
    197,
    203,
    206,
    217
   ],
   [
    45,
    59,
    89,
    108,
    202,
    204,
    211,
    222
   ],
   [
    46,
    56,
    90,
    109,
    203,
    205,
    208,
    223
   ],
   [
    47,
    57,
    91,
    110,
    200,
    206,
    209,
    220
   ],
   [
    44,
    58,
    88,
    111,
    201,
    207,
    210,
    221
   ],
   [
    0,
    49,
    63,
    93,
    114,
    206,
    208,
    215
   ],
   [
    1,
    50,
    60,
    94,
    115,
    207,
    209,
    212
   ],
   [
    2,
    51,
    61,
    95,
    112,
    204,
    210,
    213
   ],
   [
    3,
    48,
    62,
    92,
    113,
    205,
    211,
    214
   ],
   [
    4,
    53,
    67,
    97,
    118,
    210,
    212,
    219
   ],
   [
    5,
    54,
    64,
    98,
    119,
    211,
    213,
    216
   ],
   [
    6,
    55,
    65,
    99,
    116,
    208,
    214,
    217
   ],
   [
    7,
    52,
    66,
    96,
    117,
    209,
    215,
    218
   ],
   [
    8,
    57,
    71,
    101,
    122,
    214,
    216,
    223
   ],
   [
    9,
    58,
    68,
    102,
    123,
    215,
    217,
    220
   ],
   [
    10,
    59,
    69,
    103,
    120,
    212,
    218,
    221
   ],
   [
    11,
    56,
    70,
    100,
    121,
    213,
    219,
    222
   ],
   [
    12,
    61,
    75,
    105,
    115,
    126,
    218,
    220
   ],
   [
    13,
    62,
    72,
    106,
    112,
    127,
    219,
    221
   ],
   [
    14,
    63,
    73,
    107,
    113,
    124,
    216,
    222
   ],
   [
    15,
    60,
    74,
    104,
    114,
    125,
    217,
    223
   ],
   [
    16,
    65,
    79,
    109,
    112,
    119,
    130,
    222
   ],
   [
    17,
    66,
    76,
    110,
    113,
    116,
    131,
    223
   ],
   [
    18,
    67,
    77,
    111,
    114,
    117,
    128,
    220
   ],
   [
    19,
    64,
    78,
    108,
    115,
    118,
    129,
    221
   ]
  ]
 },
 "distance": {
  "d": 16,
  "X": {
   "value": 16,
   "confidence": "upper_bound",
   "witness": [
    22,
    52,
    76,
    110,
    118,
    127,
    147,
    155,
    158,
    167,
    172,
    181,
    201,
    209,
    212,
    221
   ]
  },
  "Z": {
   "value": 16,
   "confidence": "upper_bound",
   "witness": [
    5,
    11,
    13,
    16,
    19,
    31,
    61,
    67,
    69,
    72,
    75,
    87,
    115,
    148,
    171,
    204
   ]
  }
 },
 "provenance": {
  "authors": [
   "@mathysrennela"
  ],
  "construction": "Normal-subgroup lifted product over Z_28 x Z_4 with the published supports from arXiv:2608.08996v1.",
  "origin": "submission",
  "date": "2026-08-28",
  "model": "human",
  "notes": "Reconstructed from the paper Supplementary Information; 20,000 pure-Python RIS trials per side at seed 20260828 found no lighter logical."
 },
 "family": "lifted-product"
}