{
 "schema_version": "0.1",
 "name": "[[140,10,10]] 2BGA on metacyclic Z_35 |x Z_2 (arXiv:2306.16400)",
 "code_type": "CSS",
 "n": 140,
 "k": 10,
 "checks": {
  "X": [
   [
    4,
    16,
    19,
    35,
    80,
    102,
    114,
    118
   ],
   [
    5,
    17,
    18,
    34,
    79,
    123,
    125,
    131
   ],
   [
    6,
    18,
    31,
    47,
    82,
    104,
    116,
    120
   ],
   [
    7,
    19,
    30,
    46,
    81,
    125,
    127,
    133
   ],
   [
    8,
    20,
    43,
    59,
    84,
    106,
    118,
    122
   ],
   [
    9,
    21,
    42,
    58,
    83,
    127,
    129,
    135
   ],
   [
    1,
    10,
    22,
    55,
    86,
    108,
    120,
    124
   ],
   [
    0,
    11,
    23,
    54,
    85,
    129,
    131,
    137
   ],
   [
    12,
    13,
    24,
    67,
    88,
    110,
    122,
    126
   ],
   [
    12,
    13,
    25,
    66,
    87,
    131,
    133,
    139
   ],
   [
    9,
    14,
    25,
    26,
    90,
    112,
    124,
    128
   ],
   [
    8,
    15,
    24,
    27,
    71,
    89,
    133,
    135
   ],
   [
    16,
    21,
    28,
    37,
    92,
    114,
    126,
    130
   ],
   [
    17,
    20,
    29,
    36,
    73,
    91,
    135,
    137
   ],
   [
    18,
    30,
    33,
    49,
    94,
    116,
    128,
    132
   ],
   [
    19,
    31,
    32,
    48,
    75,
    93,
    137,
    139
   ],
   [
    20,
    32,
    45,
    61,
    96,
    118,
    130,
    134
   ],
   [
    21,
    33,
    44,
    60,
    71,
    77,
    95,
    139
   ],
   [
    3,
    22,
    34,
    57,
    98,
    120,
    132,
    136
   ],
   [
    2,
    23,
    35,
    56,
    71,
    73,
    79,
    97
   ],
   [
    15,
    24,
    36,
    69,
    100,
    122,
    134,
    138
   ],
   [
    14,
    25,
    37,
    68,
    73,
    75,
    81,
    99
   ],
   [
    11,
    26,
    27,
    38,
    70,
    102,
    124,
    136
   ],
   [
    10,
    26,
    27,
    39,
    75,
    77,
    83,
    101
   ],
   [
    23,
    28,
    39,
    40,
    72,
    104,
    126,
    138
   ],
   [
    22,
    29,
    38,
    41,
    77,
    79,
    85,
    103
   ],
   [
    30,
    35,
    42,
    51,
    70,
    74,
    106,
    128
   ],
   [
    31,
    34,
    43,
    50,
    79,
    81,
    87,
    105
   ],
   [
    32,
    44,
    47,
    63,
    72,
    76,
    108,
    130
   ],
   [
    33,
    45,
    46,
    62,
    81,
    83,
    89,
    107
   ],
   [
    5,
    34,
    46,
    59,
    74,
    78,
    110,
    132
   ],
   [
    4,
    35,
    47,
    58,
    83,
    85,
    91,
    109
   ],
   [
    1,
    17,
    36,
    48,
    76,
    80,
    112,
    134
   ],
   [
    0,
    16,
    37,
    49,
    85,
    87,
    93,
    111
   ],
   [
    13,
    29,
    38,
    50,
    78,
    82,
    114,
    136
   ],
   [
    12,
    28,
    39,
    51,
    87,
    89,
    95,
    113
   ],
   [
    25,
    40,
    41,
    52,
    80,
    84,
    116,
    138
   ],
   [
    24,
    40,
    41,
    53,
    89,
    91,
    97,
    115
   ],
   [
    37,
    42,
    53,
    54,
    70,
    82,
    86,
    118
   ],
   [
    36,
    43,
    52,
    55,
    91,
    93,
    99,
    117
   ],
   [
    44,
    49,
    56,
    65,
    72,
    84,
    88,
    120
   ],
   [
    45,
    48,
    57,
    64,
    93,
    95,
    101,
    119
   ],
   [
    7,
    46,
    58,
    61,
    74,
    86,
    90,
    122
   ],
   [
    6,
    47,
    59,
    60,
    95,
    97,
    103,
    121
   ],
   [
    3,
    19,
    48,
    60,
    76,
    88,
    92,
    124
   ],
   [
    2,
    18,
    49,
    61,
    97,
    99,
    105,
    123
   ],
   [
    15,
    31,
    50,
    62,
    78,
    90,
    94,
    126
   ],
   [
    14,
    30,
    51,
    63,
    99,
    101,
    107,
    125
   ],
   [
    27,
    43,
    52,
    64,
    80,
    92,
    96,
    128
   ],
   [
    26,
    42,
    53,
    65,
    101,
    103,
    109,
    127
   ],
   [
    39,
    54,
    55,
    66,
    82,
    94,
    98,
    130
   ],
   [
    38,
    54,
    55,
    67,
    103,
    105,
    111,
    129
   ],
   [
    51,
    56,
    67,
    68,
    84,
    96,
    100,
    132
   ],
   [
    50,
    57,
    66,
    69,
    105,
    107,
    113,
    131
   ],
   [
    0,
    9,
    58,
    63,
    86,
    98,
    102,
    134
   ],
   [
    1,
    8,
    59,
    62,
    107,
    109,
    115,
    133
   ],
   [
    2,
    5,
    21,
    60,
    88,
    100,
    104,
    136
   ],
   [
    3,
    4,
    20,
    61,
    109,
    111,
    117,
    135
   ],
   [
    4,
    17,
    33,
    62,
    90,
    102,
    106,
    138
   ],
   [
    5,
    16,
    32,
    63,
    111,
    113,
    119,
    137
   ],
   [
    6,
    29,
    45,
    64,
    70,
    92,
    104,
    108
   ],
   [
    7,
    28,
    44,
    65,
    113,
    115,
    121,
    139
   ],
   [
    8,
    41,
    57,
    66,
    72,
    94,
    106,
    110
   ],
   [
    9,
    40,
    56,
    67,
    71,
    115,
    117,
    123
   ],
   [
    10,
    53,
    68,
    69,
    74,
    96,
    108,
    112
   ],
   [
    11,
    52,
    68,
    69,
    73,
    117,
    119,
    125
   ],
   [
    0,
    11,
    12,
    65,
    76,
    98,
    110,
    114
   ],
   [
    1,
    10,
    13,
    64,
    75,
    119,
    121,
    127
   ],
   [
    2,
    7,
    14,
    23,
    78,
    100,
    112,
    116
   ],
   [
    3,
    6,
    15,
    22,
    77,
    121,
    123,
    129
   ]
  ],
  "Z": [
   [
    22,
    26,
    38,
    60,
    77,
    103,
    124,
    136
   ],
   [
    11,
    17,
    19,
    63,
    76,
    102,
    125,
    137
   ],
   [
    24,
    28,
    40,
    62,
    89,
    115,
    126,
    138
   ],
   [
    13,
    19,
    21,
    65,
    88,
    114,
    127,
    139
   ],
   [
    26,
    30,
    42,
    64,
    70,
    101,
    127,
    128
   ],
   [
    15,
    21,
    23,
    67,
    71,
    100,
    126,
    129
   ],
   [
    28,
    32,
    44,
    66,
    72,
    113,
    130,
    139
   ],
   [
    17,
    23,
    25,
    69,
    73,
    112,
    131,
    138
   ],
   [
    30,
    34,
    46,
    68,
    74,
    81,
    125,
    132
   ],
   [
    1,
    19,
    25,
    27,
    75,
    80,
    124,
    133
   ],
   [
    0,
    32,
    36,
    48,
    76,
    93,
    134,
    137
   ],
   [
    3,
    21,
    27,
    29,
    77,
    92,
    135,
    136
   ],
   [
    2,
    34,
    38,
    50,
    78,
    79,
    105,
    136
   ],
   [
    5,
    23,
    29,
    31,
    78,
    79,
    104,
    137
   ],
   [
    4,
    36,
    40,
    52,
    80,
    91,
    117,
    138
   ],
   [
    7,
    25,
    31,
    33,
    81,
    90,
    116,
    139
   ],
   [
    6,
    38,
    42,
    54,
    70,
    82,
    103,
    129
   ],
   [
    9,
    27,
    33,
    35,
    71,
    83,
    102,
    128
   ],
   [
    8,
    40,
    44,
    56,
    71,
    72,
    84,
    115
   ],
   [
    11,
    29,
    35,
    37,
    70,
    73,
    85,
    114
   ],
   [
    10,
    42,
    46,
    58,
    74,
    83,
    86,
    127
   ],
   [
    13,
    31,
    37,
    39,
    75,
    82,
    87,
    126
   ],
   [
    12,
    44,
    48,
    60,
    76,
    88,
    95,
    139
   ],
   [
    15,
    33,
    39,
    41,
    77,
    89,
    94,
    138
   ],
   [
    14,
    46,
    50,
    62,
    78,
    81,
    90,
    107
   ],
   [
    17,
    35,
    41,
    43,
    79,
    80,
    91,
    106
   ],
   [
    16,
    48,
    52,
    64,
    80,
    92,
    93,
    119
   ],
   [
    19,
    37,
    43,
    45,
    81,
    92,
    93,
    118
   ],
   [
    18,
    50,
    54,
    66,
    82,
    94,
    105,
    131
   ],
   [
    21,
    39,
    45,
    47,
    83,
    95,
    104,
    130
   ],
   [
    20,
    52,
    56,
    68,
    73,
    84,
    96,
    117
   ],
   [
    23,
    41,
    47,
    49,
    72,
    85,
    97,
    116
   ],
   [
    0,
    22,
    54,
    58,
    85,
    86,
    98,
    129
   ],
   [
    25,
    43,
    49,
    51,
    84,
    87,
    99,
    128
   ],
   [
    2,
    24,
    56,
    60,
    71,
    88,
    97,
    100
   ],
   [
    27,
    45,
    51,
    53,
    70,
    89,
    96,
    101
   ],
   [
    4,
    26,
    58,
    62,
    83,
    90,
    102,
    109
   ],
   [
    29,
    47,
    53,
    55,
    82,
    91,
    103,
    108
   ],
   [
    6,
    28,
    60,
    64,
    92,
    95,
    104,
    121
   ],
   [
    31,
    49,
    55,
    57,
    93,
    94,
    105,
    120
   ],
   [
    8,
    30,
    62,
    66,
    94,
    106,
    107,
    133
   ],
   [
    33,
    51,
    57,
    59,
    95,
    106,
    107,
    132
   ],
   [
    10,
    32,
    64,
    68,
    75,
    96,
    108,
    119
   ],
   [
    35,
    53,
    59,
    61,
    74,
    97,
    109,
    118
   ],
   [
    0,
    12,
    34,
    66,
    87,
    98,
    110,
    131
   ],
   [
    37,
    55,
    61,
    63,
    86,
    99,
    111,
    130
   ],
   [
    2,
    14,
    36,
    68,
    73,
    99,
    100,
    112
   ],
   [
    39,
    57,
    63,
    65,
    72,
    98,
    101,
    113
   ],
   [
    0,
    4,
    16,
    38,
    85,
    102,
    111,
    114
   ],
   [
    41,
    59,
    65,
    67,
    84,
    103,
    110,
    115
   ],
   [
    2,
    6,
    18,
    40,
    97,
    104,
    116,
    123
   ],
   [
    43,
    61,
    67,
    69,
    96,
    105,
    117,
    122
   ],
   [
    4,
    8,
    20,
    42,
    106,
    109,
    118,
    135
   ],
   [
    1,
    45,
    63,
    69,
    107,
    108,
    119,
    134
   ],
   [
    6,
    10,
    22,
    44,
    77,
    108,
    120,
    121
   ],
   [
    1,
    3,
    47,
    65,
    76,
    109,
    120,
    121
   ],
   [
    8,
    12,
    24,
    46,
    89,
    110,
    122,
    133
   ],
   [
    3,
    5,
    49,
    67,
    88,
    111,
    123,
    132
   ],
   [
    10,
    14,
    26,
    48,
    75,
    101,
    112,
    124
   ],
   [
    5,
    7,
    51,
    69,
    74,
    100,
    113,
    125
   ],
   [
    12,
    16,
    28,
    50,
    87,
    113,
    114,
    126
   ],
   [
    1,
    7,
    9,
    53,
    86,
    112,
    115,
    127
   ],
   [
    14,
    18,
    30,
    52,
    99,
    116,
    125,
    128
   ],
   [
    3,
    9,
    11,
    55,
    98,
    117,
    124,
    129
   ],
   [
    16,
    20,
    32,
    54,
    111,
    118,
    130,
    137
   ],
   [
    5,
    11,
    13,
    57,
    110,
    119,
    131,
    136
   ],
   [
    18,
    22,
    34,
    56,
    79,
    120,
    123,
    132
   ],
   [
    7,
    13,
    15,
    59,
    78,
    121,
    122,
    133
   ],
   [
    20,
    24,
    36,
    58,
    91,
    122,
    134,
    135
   ],
   [
    9,
    15,
    17,
    61,
    90,
    123,
    134,
    135
   ]
  ]
 },
 "distance": {
  "d": 10,
  "X": {
   "value": 10,
   "confidence": "upper_bound",
   "witness": [
    77,
    80,
    91,
    94,
    105,
    108,
    119,
    122,
    133,
    136
   ]
  },
  "Z": {
   "value": 10,
   "confidence": "upper_bound",
   "witness": [
    4,
    5,
    18,
    19,
    32,
    33,
    46,
    47,
    60,
    61
   ]
  }
 },
 "provenance": {
  "authors": [
   "@mathysrennela"
  ],
  "model": "Tencent Hy3",
  "construction": "Two-block group-algebra code on metacyclic group Z_35 |x Z_2 (r=6), supports a=[7,33,54,66], b=[22,26,38,60].",
  "references": [
   "arXiv:2306.16400"
  ],
  "date": "2026-07-18",
  "notes": ""
 },
 "family": "generalized-bicycle",
 "tracks": [
  "generalized-bicycle"
 ]
}