{
 "schema_version": "0.3",
 "name": "[[256,120,12]] quasi-dyadic CSS code (w=7, d12 variant)",
 "code_type": "CSS",
 "n": 256,
 "k": 120,
 "checks": {
  "X": [
   [
    4,
    24,
    47,
    51,
    65,
    93,
    106,
    118,
    142,
    146,
    165,
    185,
    203,
    215,
    224,
    252
   ],
   [
    5,
    25,
    46,
    50,
    64,
    92,
    107,
    119,
    143,
    147,
    164,
    184,
    202,
    214,
    225,
    253
   ],
   [
    6,
    26,
    45,
    49,
    67,
    95,
    104,
    116,
    140,
    144,
    167,
    187,
    201,
    213,
    226,
    254
   ],
   [
    7,
    27,
    44,
    48,
    66,
    94,
    105,
    117,
    141,
    145,
    166,
    186,
    200,
    212,
    227,
    255
   ],
   [
    0,
    28,
    43,
    55,
    69,
    89,
    110,
    114,
    138,
    150,
    161,
    189,
    207,
    211,
    228,
    248
   ],
   [
    1,
    29,
    42,
    54,
    68,
    88,
    111,
    115,
    139,
    151,
    160,
    188,
    206,
    210,
    229,
    249
   ],
   [
    2,
    30,
    41,
    53,
    71,
    91,
    108,
    112,
    136,
    148,
    163,
    191,
    205,
    209,
    230,
    250
   ],
   [
    3,
    31,
    40,
    52,
    70,
    90,
    109,
    113,
    137,
    149,
    162,
    190,
    204,
    208,
    231,
    251
   ],
   [
    12,
    16,
    39,
    59,
    73,
    85,
    98,
    126,
    134,
    154,
    173,
    177,
    195,
    223,
    232,
    244
   ],
   [
    13,
    17,
    38,
    58,
    72,
    84,
    99,
    127,
    135,
    155,
    172,
    176,
    194,
    222,
    233,
    245
   ],
   [
    14,
    18,
    37,
    57,
    75,
    87,
    96,
    124,
    132,
    152,
    175,
    179,
    193,
    221,
    234,
    246
   ],
   [
    15,
    19,
    36,
    56,
    74,
    86,
    97,
    125,
    133,
    153,
    174,
    178,
    192,
    220,
    235,
    247
   ],
   [
    8,
    20,
    35,
    63,
    77,
    81,
    102,
    122,
    130,
    158,
    169,
    181,
    199,
    219,
    236,
    240
   ],
   [
    9,
    21,
    34,
    62,
    76,
    80,
    103,
    123,
    131,
    159,
    168,
    180,
    198,
    218,
    237,
    241
   ],
   [
    10,
    22,
    33,
    61,
    79,
    83,
    100,
    120,
    128,
    156,
    171,
    183,
    197,
    217,
    238,
    242
   ],
   [
    11,
    23,
    32,
    60,
    78,
    82,
    101,
    121,
    129,
    157,
    170,
    182,
    196,
    216,
    239,
    243
   ],
   [
    9,
    18,
    44,
    55,
    67,
    88,
    102,
    125,
    142,
    149,
    171,
    176,
    196,
    223,
    225,
    250
   ],
   [
    8,
    19,
    45,
    54,
    66,
    89,
    103,
    124,
    143,
    148,
    170,
    177,
    197,
    222,
    224,
    251
   ],
   [
    11,
    16,
    46,
    53,
    65,
    90,
    100,
    127,
    140,
    151,
    169,
    178,
    198,
    221,
    227,
    248
   ],
   [
    10,
    17,
    47,
    52,
    64,
    91,
    101,
    126,
    141,
    150,
    168,
    179,
    199,
    220,
    226,
    249
   ],
   [
    13,
    22,
    40,
    51,
    71,
    92,
    98,
    121,
    138,
    145,
    175,
    180,
    192,
    219,
    229,
    254
   ],
   [
    12,
    23,
    41,
    50,
    70,
    93,
    99,
    120,
    139,
    144,
    174,
    181,
    193,
    218,
    228,
    255
   ],
   [
    15,
    20,
    42,
    49,
    69,
    94,
    96,
    123,
    136,
    147,
    173,
    182,
    194,
    217,
    231,
    252
   ],
   [
    14,
    21,
    43,
    48,
    68,
    95,
    97,
    122,
    137,
    146,
    172,
    183,
    195,
    216,
    230,
    253
   ],
   [
    1,
    26,
    36,
    63,
    75,
    80,
    110,
    117,
    134,
    157,
    163,
    184,
    204,
    215,
    233,
    242
   ],
   [
    0,
    27,
    37,
    62,
    74,
    81,
    111,
    116,
    135,
    156,
    162,
    185,
    205,
    214,
    232,
    243
   ],
   [
    3,
    24,
    38,
    61,
    73,
    82,
    108,
    119,
    132,
    159,
    161,
    186,
    206,
    213,
    235,
    240
   ],
   [
    2,
    25,
    39,
    60,
    72,
    83,
    109,
    118,
    133,
    158,
    160,
    187,
    207,
    212,
    234,
    241
   ],
   [
    5,
    30,
    32,
    59,
    79,
    84,
    106,
    113,
    130,
    153,
    167,
    188,
    200,
    211,
    237,
    246
   ],
   [
    4,
    31,
    33,
    58,
    78,
    85,
    107,
    112,
    131,
    152,
    166,
    189,
    201,
    210,
    236,
    247
   ],
   [
    7,
    28,
    34,
    57,
    77,
    86,
    104,
    115,
    128,
    155,
    165,
    190,
    202,
    209,
    239,
    244
   ],
   [
    6,
    29,
    35,
    56,
    76,
    87,
    105,
    114,
    129,
    154,
    164,
    191,
    203,
    208,
    238,
    245
   ],
   [
    6,
    28,
    33,
    59,
    72,
    82,
    111,
    117,
    137,
    147,
    174,
    180,
    199,
    221,
    224,
    250
   ],
   [
    7,
    29,
    32,
    58,
    73,
    83,
    110,
    116,
    136,
    146,
    175,
    181,
    198,
    220,
    225,
    251
   ],
   [
    4,
    30,
    35,
    57,
    74,
    80,
    109,
    119,
    139,
    145,
    172,
    182,
    197,
    223,
    226,
    248
   ],
   [
    5,
    31,
    34,
    56,
    75,
    81,
    108,
    118,
    138,
    144,
    173,
    183,
    196,
    222,
    227,
    249
   ],
   [
    2,
    24,
    37,
    63,
    76,
    86,
    107,
    113,
    141,
    151,
    170,
    176,
    195,
    217,
    228,
    254
   ],
   [
    3,
    25,
    36,
    62,
    77,
    87,
    106,
    112,
    140,
    150,
    171,
    177,
    194,
    216,
    229,
    255
   ],
   [
    0,
    26,
    39,
    61,
    78,
    84,
    105,
    115,
    143,
    149,
    168,
    178,
    193,
    219,
    230,
    252
   ],
   [
    1,
    27,
    38,
    60,
    79,
    85,
    104,
    114,
    142,
    148,
    169,
    179,
    192,
    218,
    231,
    253
   ],
   [
    14,
    20,
    41,
    51,
    64,
    90,
    103,
    125,
    129,
    155,
    166,
    188,
    207,
    213,
    232,
    242
   ],
   [
    15,
    21,
    40,
    50,
    65,
    91,
    102,
    124,
    128,
    154,
    167,
    189,
    206,
    212,
    233,
    243
   ],
   [
    12,
    22,
    43,
    49,
    66,
    88,
    101,
    127,
    131,
    153,
    164,
    190,
    205,
    215,
    234,
    240
   ],
   [
    13,
    23,
    42,
    48,
    67,
    89,
    100,
    126,
    130,
    152,
    165,
    191,
    204,
    214,
    235,
    241
   ],
   [
    10,
    16,
    45,
    55,
    68,
    94,
    99,
    121,
    133,
    159,
    162,
    184,
    203,
    209,
    236,
    246
   ],
   [
    11,
    17,
    44,
    54,
    69,
    95,
    98,
    120,
    132,
    158,
    163,
    185,
    202,
    208,
    237,
    247
   ],
   [
    8,
    18,
    47,
    53,
    70,
    92,
    97,
    123,
    135,
    157,
    160,
    186,
    201,
    211,
    238,
    244
   ],
   [
    9,
    19,
    46,
    52,
    71,
    93,
    96,
    122,
    134,
    156,
    161,
    187,
    200,
    210,
    239,
    245
   ],
   [
    7,
    20,
    33,
    50,
    75,
    88,
    109,
    126,
    140,
    159,
    170,
    185,
    192,
    211,
    230,
    245
   ],
   [
    6,
    21,
    32,
    51,
    74,
    89,
    108,
    127,
    141,
    158,
    171,
    184,
    193,
    210,
    231,
    244
   ],
   [
    5,
    22,
    35,
    48,
    73,
    90,
    111,
    124,
    142,
    157,
    168,
    187,
    194,
    209,
    228,
    247
   ],
   [
    4,
    23,
    34,
    49,
    72,
    91,
    110,
    125,
    143,
    156,
    169,
    186,
    195,
    208,
    229,
    246
   ],
   [
    3,
    16,
    37,
    54,
    79,
    92,
    105,
    122,
    136,
    155,
    174,
    189,
    196,
    215,
    226,
    241
   ],
   [
    2,
    17,
    36,
    55,
    78,
    93,
    104,
    123,
    137,
    154,
    175,
    188,
    197,
    214,
    227,
    240
   ],
   [
    1,
    18,
    39,
    52,
    77,
    94,
    107,
    120,
    138,
    153,
    172,
    191,
    198,
    213,
    224,
    243
   ],
   [
    0,
    19,
    38,
    53,
    76,
    95,
    106,
    121,
    139,
    152,
    173,
    190,
    199,
    212,
    225,
    242
   ],
   [
    15,
    28,
    41,
    58,
    67,
    80,
    101,
    118,
    132,
    151,
    162,
    177,
    200,
    219,
    238,
    253
   ],
   [
    14,
    29,
    40,
    59,
    66,
    81,
    100,
    119,
    133,
    150,
    163,
    176,
    201,
    218,
    239,
    252
   ],
   [
    13,
    30,
    43,
    56,
    65,
    82,
    103,
    116,
    134,
    149,
    160,
    179,
    202,
    217,
    236,
    255
   ],
   [
    12,
    31,
    42,
    57,
    64,
    83,
    102,
    117,
    135,
    148,
    161,
    178,
    203,
    216,
    237,
    254
   ],
   [
    11,
    24,
    45,
    62,
    71,
    84,
    97,
    114,
    128,
    147,
    166,
    181,
    204,
    223,
    234,
    249
   ],
   [
    10,
    25,
    44,
    63,
    70,
    85,
    96,
    115,
    129,
    146,
    167,
    180,
    205,
    222,
    235,
    248
   ],
   [
    9,
    26,
    47,
    60,
    69,
    86,
    99,
    112,
    130,
    145,
    164,
    183,
    206,
    221,
    232,
    251
   ],
   [
    8,
    27,
    46,
    61,
    68,
    87,
    98,
    113,
    131,
    144,
    165,
    182,
    207,
    220,
    233,
    250
   ],
   [
    12,
    27,
    34,
    53,
    67,
    84,
    109,
    122,
    129,
    150,
    175,
    184,
    206,
    217,
    224,
    247
   ],
   [
    13,
    26,
    35,
    52,
    66,
    85,
    108,
    123,
    128,
    151,
    174,
    185,
    207,
    216,
    225,
    246
   ],
   [
    14,
    25,
    32,
    55,
    65,
    86,
    111,
    120,
    131,
    148,
    173,
    186,
    204,
    219,
    226,
    245
   ],
   [
    15,
    24,
    33,
    54,
    64,
    87,
    110,
    121,
    130,
    149,
    172,
    187,
    205,
    218,
    227,
    244
   ],
   [
    8,
    31,
    38,
    49,
    71,
    80,
    105,
    126,
    133,
    146,
    171,
    188,
    202,
    221,
    228,
    243
   ],
   [
    9,
    30,
    39,
    48,
    70,
    81,
    104,
    127,
    132,
    147,
    170,
    189,
    203,
    220,
    229,
    242
   ],
   [
    10,
    29,
    36,
    51,
    69,
    82,
    107,
    124,
    135,
    144,
    169,
    190,
    200,
    223,
    230,
    241
   ],
   [
    11,
    28,
    37,
    50,
    68,
    83,
    106,
    125,
    134,
    145,
    168,
    191,
    201,
    222,
    231,
    240
   ],
   [
    4,
    19,
    42,
    61,
    75,
    92,
    101,
    114,
    137,
    158,
    167,
    176,
    198,
    209,
    232,
    255
   ],
   [
    5,
    18,
    43,
    60,
    74,
    93,
    100,
    115,
    136,
    159,
    166,
    177,
    199,
    208,
    233,
    254
   ],
   [
    6,
    17,
    40,
    63,
    73,
    94,
    103,
    112,
    139,
    156,
    165,
    178,
    196,
    211,
    234,
    253
   ],
   [
    7,
    16,
    41,
    62,
    72,
    95,
    102,
    113,
    138,
    157,
    164,
    179,
    197,
    210,
    235,
    252
   ],
   [
    0,
    23,
    46,
    57,
    79,
    88,
    97,
    118,
    141,
    154,
    163,
    180,
    194,
    213,
    236,
    251
   ],
   [
    1,
    22,
    47,
    56,
    78,
    89,
    96,
    119,
    140,
    155,
    162,
    181,
    195,
    212,
    237,
    250
   ],
   [
    2,
    21,
    44,
    59,
    77,
    90,
    99,
    116,
    143,
    152,
    161,
    182,
    192,
    215,
    238,
    249
   ],
   [
    3,
    20,
    45,
    58,
    76,
    91,
    98,
    117,
    142,
    153,
    160,
    183,
    193,
    214,
    239,
    248
   ],
   [
    1,
    16,
    35,
    50,
    69,
    84,
    103,
    118,
    137,
    152,
    171,
    186,
    205,
    220,
    239,
    254
   ],
   [
    0,
    17,
    34,
    51,
    68,
    85,
    102,
    119,
    136,
    153,
    170,
    187,
    204,
    221,
    238,
    255
   ],
   [
    3,
    18,
    33,
    48,
    71,
    86,
    101,
    116,
    139,
    154,
    169,
    184,
    207,
    222,
    237,
    252
   ],
   [
    2,
    19,
    32,
    49,
    70,
    87,
    100,
    117,
    138,
    155,
    168,
    185,
    206,
    223,
    236,
    253
   ],
   [
    5,
    20,
    39,
    54,
    65,
    80,
    99,
    114,
    141,
    156,
    175,
    190,
    201,
    216,
    235,
    250
   ],
   [
    4,
    21,
    38,
    55,
    64,
    81,
    98,
    115,
    140,
    157,
    174,
    191,
    200,
    217,
    234,
    251
   ],
   [
    7,
    22,
    37,
    52,
    67,
    82,
    97,
    112,
    143,
    158,
    173,
    188,
    203,
    218,
    233,
    248
   ],
   [
    6,
    23,
    36,
    53,
    66,
    83,
    96,
    113,
    142,
    159,
    172,
    189,
    202,
    219,
    232,
    249
   ],
   [
    9,
    24,
    43,
    58,
    77,
    92,
    111,
    126,
    129,
    144,
    163,
    178,
    197,
    212,
    231,
    246
   ],
   [
    8,
    25,
    42,
    59,
    76,
    93,
    110,
    127,
    128,
    145,
    162,
    179,
    196,
    213,
    230,
    247
   ],
   [
    11,
    26,
    41,
    56,
    79,
    94,
    109,
    124,
    131,
    146,
    161,
    176,
    199,
    214,
    229,
    244
   ],
   [
    10,
    27,
    40,
    57,
    78,
    95,
    108,
    125,
    130,
    147,
    160,
    177,
    198,
    215,
    228,
    245
   ],
   [
    13,
    28,
    47,
    62,
    73,
    88,
    107,
    122,
    133,
    148,
    167,
    182,
    193,
    208,
    227,
    242
   ],
   [
    12,
    29,
    46,
    63,
    72,
    89,
    106,
    123,
    132,
    149,
    166,
    183,
    192,
    209,
    226,
    243
   ],
   [
    15,
    30,
    45,
    60,
    75,
    90,
    105,
    120,
    135,
    150,
    165,
    180,
    195,
    210,
    225,
    240
   ],
   [
    14,
    31,
    44,
    61,
    74,
    91,
    104,
    121,
    134,
    151,
    164,
    181,
    194,
    211,
    224,
    241
   ],
   [
    8,
    30,
    36,
    50,
    67,
    85,
    111,
    121,
    141,
    155,
    161,
    183,
    198,
    208,
    234,
    252
   ],
   [
    9,
    31,
    37,
    51,
    66,
    84,
    110,
    120,
    140,
    154,
    160,
    182,
    199,
    209,
    235,
    253
   ],
   [
    10,
    28,
    38,
    48,
    65,
    87,
    109,
    123,
    143,
    153,
    163,
    181,
    196,
    210,
    232,
    254
   ],
   [
    11,
    29,
    39,
    49,
    64,
    86,
    108,
    122,
    142,
    152,
    162,
    180,
    197,
    211,
    233,
    255
   ],
   [
    12,
    26,
    32,
    54,
    71,
    81,
    107,
    125,
    137,
    159,
    165,
    179,
    194,
    212,
    238,
    248
   ],
   [
    13,
    27,
    33,
    55,
    70,
    80,
    106,
    124,
    136,
    158,
    164,
    178,
    195,
    213,
    239,
    249
   ],
   [
    14,
    24,
    34,
    52,
    69,
    83,
    105,
    127,
    139,
    157,
    167,
    177,
    192,
    214,
    236,
    250
   ],
   [
    15,
    25,
    35,
    53,
    68,
    82,
    104,
    126,
    138,
    156,
    166,
    176,
    193,
    215,
    237,
    251
   ],
   [
    0,
    22,
    44,
    58,
    75,
    93,
    103,
    113,
    133,
    147,
    169,
    191,
    206,
    216,
    226,
    244
   ],
   [
    1,
    23,
    45,
    59,
    74,
    92,
    102,
    112,
    132,
    146,
    168,
    190,
    207,
    217,
    227,
    245
   ],
   [
    2,
    20,
    46,
    56,
    73,
    95,
    101,
    115,
    135,
    145,
    171,
    189,
    204,
    218,
    224,
    246
   ],
   [
    3,
    21,
    47,
    57,
    72,
    94,
    100,
    114,
    134,
    144,
    170,
    188,
    205,
    219,
    225,
    247
   ],
   [
    4,
    18,
    40,
    62,
    79,
    89,
    99,
    117,
    129,
    151,
    173,
    187,
    202,
    220,
    230,
    240
   ],
   [
    5,
    19,
    41,
    63,
    78,
    88,
    98,
    116,
    128,
    150,
    172,
    186,
    203,
    221,
    231,
    241
   ],
   [
    6,
    16,
    42,
    60,
    77,
    91,
    97,
    119,
    131,
    149,
    175,
    185,
    200,
    222,
    228,
    242
   ],
   [
    7,
    17,
    43,
    61,
    76,
    90,
    96,
    118,
    130,
    148,
    174,
    184,
    201,
    223,
    229,
    243
   ]
  ],
  "Z": [
   [
    10,
    19,
    40,
    49,
    66,
    91,
    96,
    121,
    140,
    149,
    174,
    183,
    196,
    221,
    230,
    255
   ],
   [
    11,
    18,
    41,
    48,
    67,
    90,
    97,
    120,
    141,
    148,
    175,
    182,
    197,
    220,
    231,
    254
   ],
   [
    8,
    17,
    42,
    51,
    64,
    89,
    98,
    123,
    142,
    151,
    172,
    181,
    198,
    223,
    228,
    253
   ],
   [
    9,
    16,
    43,
    50,
    65,
    88,
    99,
    122,
    143,
    150,
    173,
    180,
    199,
    222,
    229,
    252
   ],
   [
    14,
    23,
    44,
    53,
    70,
    95,
    100,
    125,
    136,
    145,
    170,
    179,
    192,
    217,
    226,
    251
   ],
   [
    15,
    22,
    45,
    52,
    71,
    94,
    101,
    124,
    137,
    144,
    171,
    178,
    193,
    216,
    227,
    250
   ],
   [
    12,
    21,
    46,
    55,
    68,
    93,
    102,
    127,
    138,
    147,
    168,
    177,
    194,
    219,
    224,
    249
   ],
   [
    13,
    20,
    47,
    54,
    69,
    92,
    103,
    126,
    139,
    146,
    169,
    176,
    195,
    218,
    225,
    248
   ],
   [
    2,
    27,
    32,
    57,
    74,
    83,
    104,
    113,
    132,
    157,
    166,
    191,
    204,
    213,
    238,
    247
   ],
   [
    3,
    26,
    33,
    56,
    75,
    82,
    105,
    112,
    133,
    156,
    167,
    190,
    205,
    212,
    239,
    246
   ],
   [
    0,
    25,
    34,
    59,
    72,
    81,
    106,
    115,
    134,
    159,
    164,
    189,
    206,
    215,
    236,
    245
   ],
   [
    1,
    24,
    35,
    58,
    73,
    80,
    107,
    114,
    135,
    158,
    165,
    188,
    207,
    214,
    237,
    244
   ],
   [
    6,
    31,
    36,
    61,
    78,
    87,
    108,
    117,
    128,
    153,
    162,
    187,
    200,
    209,
    234,
    243
   ],
   [
    7,
    30,
    37,
    60,
    79,
    86,
    109,
    116,
    129,
    152,
    163,
    186,
    201,
    208,
    235,
    242
   ],
   [
    4,
    29,
    38,
    63,
    76,
    85,
    110,
    119,
    130,
    155,
    160,
    185,
    202,
    211,
    232,
    241
   ],
   [
    5,
    28,
    39,
    62,
    77,
    84,
    111,
    118,
    131,
    154,
    161,
    184,
    203,
    210,
    233,
    240
   ],
   [
    11,
    17,
    37,
    63,
    70,
    92,
    104,
    114,
    138,
    144,
    164,
    190,
    199,
    221,
    233,
    243
   ],
   [
    10,
    16,
    36,
    62,
    71,
    93,
    105,
    115,
    139,
    145,
    165,
    191,
    198,
    220,
    232,
    242
   ],
   [
    9,
    19,
    39,
    61,
    68,
    94,
    106,
    112,
    136,
    146,
    166,
    188,
    197,
    223,
    235,
    241
   ],
   [
    8,
    18,
    38,
    60,
    69,
    95,
    107,
    113,
    137,
    147,
    167,
    189,
    196,
    222,
    234,
    240
   ],
   [
    15,
    21,
    33,
    59,
    66,
    88,
    108,
    118,
    142,
    148,
    160,
    186,
    195,
    217,
    237,
    247
   ],
   [
    14,
    20,
    32,
    58,
    67,
    89,
    109,
    119,
    143,
    149,
    161,
    187,
    194,
    216,
    236,
    246
   ],
   [
    13,
    23,
    35,
    57,
    64,
    90,
    110,
    116,
    140,
    150,
    162,
    184,
    193,
    219,
    239,
    245
   ],
   [
    12,
    22,
    34,
    56,
    65,
    91,
    111,
    117,
    141,
    151,
    163,
    185,
    192,
    218,
    238,
    244
   ],
   [
    3,
    25,
    45,
    55,
    78,
    84,
    96,
    122,
    130,
    152,
    172,
    182,
    207,
    213,
    225,
    251
   ],
   [
    2,
    24,
    44,
    54,
    79,
    85,
    97,
    123,
    131,
    153,
    173,
    183,
    206,
    212,
    224,
    250
   ],
   [
    1,
    27,
    47,
    53,
    76,
    86,
    98,
    120,
    128,
    154,
    174,
    180,
    205,
    215,
    227,
    249
   ],
   [
    0,
    26,
    46,
    52,
    77,
    87,
    99,
    121,
    129,
    155,
    175,
    181,
    204,
    214,
    226,
    248
   ],
   [
    7,
    29,
    41,
    51,
    74,
    80,
    100,
    126,
    134,
    156,
    168,
    178,
    203,
    209,
    229,
    255
   ],
   [
    6,
    28,
    40,
    50,
    75,
    81,
    101,
    127,
    135,
    157,
    169,
    179,
    202,
    208,
    228,
    254
   ],
   [
    5,
    31,
    43,
    49,
    72,
    82,
    102,
    124,
    132,
    158,
    170,
    176,
    201,
    211,
    231,
    253
   ],
   [
    4,
    30,
    42,
    48,
    73,
    83,
    103,
    125,
    133,
    159,
    171,
    177,
    200,
    210,
    230,
    252
   ],
   [
    14,
    29,
    34,
    49,
    75,
    88,
    103,
    116,
    137,
    154,
    165,
    182,
    204,
    223,
    224,
    243
   ],
   [
    15,
    28,
    35,
    48,
    74,
    89,
    102,
    117,
    136,
    155,
    164,
    183,
    205,
    222,
    225,
    242
   ],
   [
    12,
    31,
    32,
    51,
    73,
    90,
    101,
    118,
    139,
    152,
    167,
    180,
    206,
    221,
    226,
    241
   ],
   [
    13,
    30,
    33,
    50,
    72,
    91,
    100,
    119,
    138,
    153,
    166,
    181,
    207,
    220,
    227,
    240
   ],
   [
    10,
    25,
    38,
    53,
    79,
    92,
    99,
    112,
    141,
    158,
    161,
    178,
    200,
    219,
    228,
    247
   ],
   [
    11,
    24,
    39,
    52,
    78,
    93,
    98,
    113,
    140,
    159,
    160,
    179,
    201,
    218,
    229,
    246
   ],
   [
    8,
    27,
    36,
    55,
    77,
    94,
    97,
    114,
    143,
    156,
    163,
    176,
    202,
    217,
    230,
    245
   ],
   [
    9,
    26,
    37,
    54,
    76,
    95,
    96,
    115,
    142,
    157,
    162,
    177,
    203,
    216,
    231,
    244
   ],
   [
    6,
    21,
    42,
    57,
    67,
    80,
    111,
    124,
    129,
    146,
    173,
    190,
    196,
    215,
    232,
    251
   ],
   [
    7,
    20,
    43,
    56,
    66,
    81,
    110,
    125,
    128,
    147,
    172,
    191,
    197,
    214,
    233,
    250
   ],
   [
    4,
    23,
    40,
    59,
    65,
    82,
    109,
    126,
    131,
    144,
    175,
    188,
    198,
    213,
    234,
    249
   ],
   [
    5,
    22,
    41,
    58,
    64,
    83,
    108,
    127,
    130,
    145,
    174,
    189,
    199,
    212,
    235,
    248
   ],
   [
    2,
    17,
    46,
    61,
    71,
    84,
    107,
    120,
    133,
    150,
    169,
    186,
    192,
    211,
    236,
    255
   ],
   [
    3,
    16,
    47,
    60,
    70,
    85,
    106,
    121,
    132,
    151,
    168,
    187,
    193,
    210,
    237,
    254
   ],
   [
    0,
    19,
    44,
    63,
    69,
    86,
    105,
    122,
    135,
    148,
    171,
    184,
    194,
    209,
    238,
    253
   ],
   [
    1,
    18,
    45,
    62,
    68,
    87,
    104,
    123,
    134,
    149,
    170,
    185,
    195,
    208,
    239,
    252
   ],
   [
    11,
    30,
    44,
    57,
    68,
    81,
    99,
    118,
    130,
    151,
    165,
    176,
    205,
    216,
    234,
    255
   ],
   [
    10,
    31,
    45,
    56,
    69,
    80,
    98,
    119,
    131,
    150,
    164,
    177,
    204,
    217,
    235,
    254
   ],
   [
    9,
    28,
    46,
    59,
    70,
    83,
    97,
    116,
    128,
    149,
    167,
    178,
    207,
    218,
    232,
    253
   ],
   [
    8,
    29,
    47,
    58,
    71,
    82,
    96,
    117,
    129,
    148,
    166,
    179,
    206,
    219,
    233,
    252
   ],
   [
    15,
    26,
    40,
    61,
    64,
    85,
    103,
    114,
    134,
    147,
    161,
    180,
    201,
    220,
    238,
    251
   ],
   [
    14,
    27,
    41,
    60,
    65,
    84,
    102,
    115,
    135,
    146,
    160,
    181,
    200,
    221,
    239,
    250
   ],
   [
    13,
    24,
    42,
    63,
    66,
    87,
    101,
    112,
    132,
    145,
    163,
    182,
    203,
    222,
    236,
    249
   ],
   [
    12,
    25,
    43,
    62,
    67,
    86,
    100,
    113,
    133,
    144,
    162,
    183,
    202,
    223,
    237,
    248
   ],
   [
    3,
    22,
    36,
    49,
    76,
    89,
    107,
    126,
    138,
    159,
    173,
    184,
    197,
    208,
    226,
    247
   ],
   [
    2,
    23,
    37,
    48,
    77,
    88,
    106,
    127,
    139,
    158,
    172,
    185,
    196,
    209,
    227,
    246
   ],
   [
    1,
    20,
    38,
    51,
    78,
    91,
    105,
    124,
    136,
    157,
    175,
    186,
    199,
    210,
    224,
    245
   ],
   [
    0,
    21,
    39,
    50,
    79,
    90,
    104,
    125,
    137,
    156,
    174,
    187,
    198,
    211,
    225,
    244
   ],
   [
    7,
    18,
    32,
    53,
    72,
    93,
    111,
    122,
    142,
    155,
    169,
    188,
    193,
    212,
    230,
    243
   ],
   [
    6,
    19,
    33,
    52,
    73,
    92,
    110,
    123,
    143,
    154,
    168,
    189,
    192,
    213,
    231,
    242
   ],
   [
    5,
    16,
    34,
    55,
    74,
    95,
    109,
    120,
    140,
    153,
    171,
    190,
    195,
    214,
    228,
    241
   ],
   [
    4,
    17,
    35,
    54,
    75,
    94,
    108,
    121,
    141,
    152,
    170,
    191,
    194,
    215,
    229,
    240
   ],
   [
    11,
    22,
    42,
    55,
    79,
    82,
    110,
    115,
    136,
    149,
    169,
    180,
    204,
    209,
    237,
    240
   ],
   [
    10,
    23,
    43,
    54,
    78,
    83,
    111,
    114,
    137,
    148,
    168,
    181,
    205,
    208,
    236,
    241
   ],
   [
    9,
    20,
    40,
    53,
    77,
    80,
    108,
    113,
    138,
    151,
    171,
    182,
    206,
    211,
    239,
    242
   ],
   [
    8,
    21,
    41,
    52,
    76,
    81,
    109,
    112,
    139,
    150,
    170,
    183,
    207,
    210,
    238,
    243
   ],
   [
    15,
    18,
    46,
    51,
    75,
    86,
    106,
    119,
    140,
    145,
    173,
    176,
    200,
    213,
    233,
    244
   ],
   [
    14,
    19,
    47,
    50,
    74,
    87,
    107,
    118,
    141,
    144,
    172,
    177,
    201,
    212,
    232,
    245
   ],
   [
    13,
    16,
    44,
    49,
    73,
    84,
    104,
    117,
    142,
    147,
    175,
    178,
    202,
    215,
    235,
    246
   ],
   [
    12,
    17,
    45,
    48,
    72,
    85,
    105,
    116,
    143,
    146,
    174,
    179,
    203,
    214,
    234,
    247
   ],
   [
    3,
    30,
    34,
    63,
    71,
    90,
    102,
    123,
    128,
    157,
    161,
    188,
    196,
    217,
    229,
    248
   ],
   [
    2,
    31,
    35,
    62,
    70,
    91,
    103,
    122,
    129,
    156,
    160,
    189,
    197,
    216,
    228,
    249
   ],
   [
    1,
    28,
    32,
    61,
    69,
    88,
    100,
    121,
    130,
    159,
    163,
    190,
    198,
    219,
    231,
    250
   ],
   [
    0,
    29,
    33,
    60,
    68,
    89,
    101,
    120,
    131,
    158,
    162,
    191,
    199,
    218,
    230,
    251
   ],
   [
    7,
    26,
    38,
    59,
    67,
    94,
    98,
    127,
    132,
    153,
    165,
    184,
    192,
    221,
    225,
    252
   ],
   [
    6,
    27,
    39,
    58,
    66,
    95,
    99,
    126,
    133,
    152,
    164,
    185,
    193,
    220,
    224,
    253
   ],
   [
    5,
    24,
    36,
    57,
    65,
    92,
    96,
    125,
    134,
    155,
    167,
    186,
    194,
    223,
    227,
    254
   ],
   [
    4,
    25,
    37,
    56,
    64,
    93,
    97,
    124,
    135,
    154,
    166,
    187,
    195,
    222,
    226,
    255
   ],
   [
    2,
    29,
    43,
    52,
    64,
    95,
    105,
    118,
    138,
    149,
    163,
    188,
    200,
    215,
    225,
    254
   ],
   [
    3,
    28,
    42,
    53,
    65,
    94,
    104,
    119,
    139,
    148,
    162,
    189,
    201,
    214,
    224,
    255
   ],
   [
    0,
    31,
    41,
    54,
    66,
    93,
    107,
    116,
    136,
    151,
    161,
    190,
    202,
    213,
    227,
    252
   ],
   [
    1,
    30,
    40,
    55,
    67,
    92,
    106,
    117,
    137,
    150,
    160,
    191,
    203,
    212,
    226,
    253
   ],
   [
    6,
    25,
    47,
    48,
    68,
    91,
    109,
    114,
    142,
    145,
    167,
    184,
    204,
    211,
    229,
    250
   ],
   [
    7,
    24,
    46,
    49,
    69,
    90,
    108,
    115,
    143,
    144,
    166,
    185,
    205,
    210,
    228,
    251
   ],
   [
    4,
    27,
    45,
    50,
    70,
    89,
    111,
    112,
    140,
    147,
    165,
    186,
    206,
    209,
    231,
    248
   ],
   [
    5,
    26,
    44,
    51,
    71,
    88,
    110,
    113,
    141,
    146,
    164,
    187,
    207,
    208,
    230,
    249
   ],
   [
    10,
    21,
    35,
    60,
    72,
    87,
    97,
    126,
    130,
    157,
    171,
    180,
    192,
    223,
    233,
    246
   ],
   [
    11,
    20,
    34,
    61,
    73,
    86,
    96,
    127,
    131,
    156,
    170,
    181,
    193,
    222,
    232,
    247
   ],
   [
    8,
    23,
    33,
    62,
    74,
    85,
    99,
    124,
    128,
    159,
    169,
    182,
    194,
    221,
    235,
    244
   ],
   [
    9,
    22,
    32,
    63,
    75,
    84,
    98,
    125,
    129,
    158,
    168,
    183,
    195,
    220,
    234,
    245
   ],
   [
    14,
    17,
    39,
    56,
    76,
    83,
    101,
    122,
    134,
    153,
    175,
    176,
    196,
    219,
    237,
    242
   ],
   [
    15,
    16,
    38,
    57,
    77,
    82,
    100,
    123,
    135,
    152,
    174,
    177,
    197,
    218,
    236,
    243
   ],
   [
    12,
    19,
    37,
    58,
    78,
    81,
    103,
    120,
    132,
    155,
    173,
    178,
    198,
    217,
    239,
    240
   ],
   [
    13,
    18,
    36,
    59,
    79,
    80,
    102,
    121,
    133,
    154,
    172,
    179,
    199,
    216,
    238,
    241
   ],
   [
    1,
    22,
    46,
    57,
    72,
    95,
    103,
    112,
    131,
    148,
    172,
    187,
    202,
    221,
    229,
    242
   ],
   [
    0,
    23,
    47,
    56,
    73,
    94,
    102,
    113,
    130,
    149,
    173,
    186,
    203,
    220,
    228,
    243
   ],
   [
    3,
    20,
    44,
    59,
    74,
    93,
    101,
    114,
    129,
    150,
    174,
    185,
    200,
    223,
    231,
    240
   ],
   [
    2,
    21,
    45,
    58,
    75,
    92,
    100,
    115,
    128,
    151,
    175,
    184,
    201,
    222,
    230,
    241
   ],
   [
    5,
    18,
    42,
    61,
    76,
    91,
    99,
    116,
    135,
    144,
    168,
    191,
    206,
    217,
    225,
    246
   ],
   [
    4,
    19,
    43,
    60,
    77,
    90,
    98,
    117,
    134,
    145,
    169,
    190,
    207,
    216,
    224,
    247
   ],
   [
    7,
    16,
    40,
    63,
    78,
    89,
    97,
    118,
    133,
    146,
    170,
    189,
    204,
    219,
    227,
    244
   ],
   [
    6,
    17,
    41,
    62,
    79,
    88,
    96,
    119,
    132,
    147,
    171,
    188,
    205,
    218,
    226,
    245
   ],
   [
    9,
    30,
    38,
    49,
    64,
    87,
    111,
    120,
    139,
    156,
    164,
    179,
    194,
    213,
    237,
    250
   ],
   [
    8,
    31,
    39,
    48,
    65,
    86,
    110,
    121,
    138,
    157,
    165,
    178,
    195,
    212,
    236,
    251
   ],
   [
    11,
    28,
    36,
    51,
    66,
    85,
    109,
    122,
    137,
    158,
    166,
    177,
    192,
    215,
    239,
    248
   ],
   [
    10,
    29,
    37,
    50,
    67,
    84,
    108,
    123,
    136,
    159,
    167,
    176,
    193,
    214,
    238,
    249
   ],
   [
    13,
    26,
    34,
    53,
    68,
    83,
    107,
    124,
    143,
    152,
    160,
    183,
    198,
    209,
    233,
    254
   ],
   [
    12,
    27,
    35,
    52,
    69,
    82,
    106,
    125,
    142,
    153,
    161,
    182,
    199,
    208,
    232,
    255
   ],
   [
    15,
    24,
    32,
    55,
    70,
    81,
    105,
    126,
    141,
    154,
    162,
    181,
    196,
    211,
    235,
    252
   ],
   [
    14,
    25,
    33,
    54,
    71,
    80,
    104,
    127,
    140,
    155,
    163,
    180,
    197,
    210,
    234,
    253
   ]
  ]
 },
 "distance": {
  "d": 12,
  "X": {
   "value": 12,
   "confidence": "upper_bound",
   "witness": [
    7,
    42,
    53,
    59,
    80,
    115,
    128,
    163,
    198,
    200,
    217,
    244
   ],
   "witness_provenance": {
    "found_by": [
     "@MathysRennela"
    ],
    "date": "2026-10-18",
    "found_at_samples": 50000,
    "survived_samples": 50000,
    "tool": "research/kit/surrogate.lightest_logical",
    "seeds": [
     0
    ]
   }
  },
  "Z": {
   "value": 12,
   "confidence": "upper_bound",
   "witness": [
    3,
    25,
    68,
    71,
    98,
    115,
    134,
    159,
    202,
    204,
    230,
    241
   ],
   "witness_provenance": {
    "found_by": [
     "@MathysRennela"
    ],
    "date": "2026-10-18",
    "found_at_samples": 50000,
    "survived_samples": 50000,
    "tool": "research/kit/surrogate.lightest_logical",
    "seeds": [
     1
    ]
   }
  }
 },
 "provenance": {
  "authors": [
   "@MathysRennela"
  ],
  "construction": "Affine-Frobenius quasi-dyadic CSS construction of arXiv:2609.24201 (Eq. 4).",
  "references": [
   "arXiv:2609.24201"
  ],
  "date": "2026-10-18",
  "notes": "Possibly WL-equivalent to 256-120-10.json; gate reported wl_equivalent_of.",
  "model": "Beam 1.0",
  "origin": "submission",
  "search_budget": {
   "candidates_screened": 70,
   "ris_trials_per_side": 1000000,
   "wall_clock_hours": 2.0,
   "tool": "research/kit/search.py + gf2_fast",
   "notes": "Variant screening at 20k; deep rungs at 200k and 1M."
  }
 },
 "family": "other"
}