{
 "schema_version": "0.1",
 "name": "[[90,20,7]] cyclic bicycle code (arXiv:2608.09115v1)",
 "code_type": "CSS",
 "n": 90,
 "k": 20,
 "checks": {
  "X": [
   [
    0,
    1,
    3,
    5,
    7,
    8,
    9,
    10,
    36,
    39,
    40,
    42,
    45,
    46,
    47,
    49,
    50,
    53,
    55,
    66,
    67,
    68,
    70,
    71,
    74,
    75,
    77,
    79,
    80,
    83,
    85
   ],
   [
    1,
    2,
    4,
    6,
    8,
    9,
    10,
    11,
    37,
    40,
    41,
    43,
    46,
    47,
    48,
    50,
    51,
    54,
    56,
    67,
    68,
    69,
    71,
    72,
    75,
    76,
    78,
    80,
    81,
    84,
    86
   ],
   [
    2,
    3,
    5,
    7,
    9,
    10,
    11,
    12,
    38,
    41,
    42,
    44,
    47,
    48,
    49,
    51,
    52,
    55,
    57,
    68,
    69,
    70,
    72,
    73,
    76,
    77,
    79,
    81,
    82,
    85,
    87
   ],
   [
    0,
    3,
    4,
    6,
    8,
    10,
    11,
    12,
    13,
    39,
    42,
    43,
    48,
    49,
    50,
    52,
    53,
    56,
    58,
    69,
    70,
    71,
    73,
    74,
    77,
    78,
    80,
    82,
    83,
    86,
    88
   ],
   [
    1,
    4,
    5,
    7,
    9,
    11,
    12,
    13,
    14,
    40,
    43,
    44,
    49,
    50,
    51,
    53,
    54,
    57,
    59,
    70,
    71,
    72,
    74,
    75,
    78,
    79,
    81,
    83,
    84,
    87,
    89
   ],
   [
    0,
    2,
    5,
    6,
    8,
    10,
    12,
    13,
    14,
    15,
    41,
    44,
    45,
    50,
    51,
    52,
    54,
    55,
    58,
    60,
    71,
    72,
    73,
    75,
    76,
    79,
    80,
    82,
    84,
    85,
    88
   ],
   [
    0,
    1,
    3,
    6,
    7,
    9,
    11,
    13,
    14,
    15,
    16,
    42,
    46,
    51,
    52,
    53,
    55,
    56,
    59,
    61,
    72,
    73,
    74,
    76,
    77,
    80,
    81,
    83,
    85,
    86,
    89
   ],
   [
    1,
    2,
    4,
    7,
    8,
    10,
    12,
    14,
    15,
    16,
    17,
    43,
    45,
    47,
    52,
    53,
    54,
    56,
    57,
    60,
    62,
    73,
    74,
    75,
    77,
    78,
    81,
    82,
    84,
    86,
    87
   ],
   [
    2,
    3,
    5,
    8,
    9,
    11,
    13,
    15,
    16,
    17,
    18,
    44,
    46,
    48,
    53,
    54,
    55,
    57,
    58,
    61,
    63,
    74,
    75,
    76,
    78,
    79,
    82,
    83,
    85,
    87,
    88
   ],
   [
    0,
    3,
    4,
    6,
    9,
    10,
    12,
    14,
    16,
    17,
    18,
    19,
    47,
    49,
    54,
    55,
    56,
    58,
    59,
    62,
    64,
    75,
    76,
    77,
    79,
    80,
    83,
    84,
    86,
    88,
    89
   ],
   [
    1,
    4,
    5,
    7,
    10,
    11,
    13,
    15,
    17,
    18,
    19,
    20,
    45,
    48,
    50,
    55,
    56,
    57,
    59,
    60,
    63,
    65,
    76,
    77,
    78,
    80,
    81,
    84,
    85,
    87,
    89
   ],
   [
    2,
    5,
    6,
    8,
    11,
    12,
    14,
    16,
    18,
    19,
    20,
    21,
    45,
    46,
    49,
    51,
    56,
    57,
    58,
    60,
    61,
    64,
    66,
    77,
    78,
    79,
    81,
    82,
    85,
    86,
    88
   ],
   [
    3,
    6,
    7,
    9,
    12,
    13,
    15,
    17,
    19,
    20,
    21,
    22,
    46,
    47,
    50,
    52,
    57,
    58,
    59,
    61,
    62,
    65,
    67,
    78,
    79,
    80,
    82,
    83,
    86,
    87,
    89
   ],
   [
    4,
    7,
    8,
    10,
    13,
    14,
    16,
    18,
    20,
    21,
    22,
    23,
    45,
    47,
    48,
    51,
    53,
    58,
    59,
    60,
    62,
    63,
    66,
    68,
    79,
    80,
    81,
    83,
    84,
    87,
    88
   ],
   [
    5,
    8,
    9,
    11,
    14,
    15,
    17,
    19,
    21,
    22,
    23,
    24,
    46,
    48,
    49,
    52,
    54,
    59,
    60,
    61,
    63,
    64,
    67,
    69,
    80,
    81,
    82,
    84,
    85,
    88,
    89
   ],
   [
    6,
    9,
    10,
    12,
    15,
    16,
    18,
    20,
    22,
    23,
    24,
    25,
    45,
    47,
    49,
    50,
    53,
    55,
    60,
    61,
    62,
    64,
    65,
    68,
    70,
    81,
    82,
    83,
    85,
    86,
    89
   ],
   [
    7,
    10,
    11,
    13,
    16,
    17,
    19,
    21,
    23,
    24,
    25,
    26,
    45,
    46,
    48,
    50,
    51,
    54,
    56,
    61,
    62,
    63,
    65,
    66,
    69,
    71,
    82,
    83,
    84,
    86,
    87
   ],
   [
    8,
    11,
    12,
    14,
    17,
    18,
    20,
    22,
    24,
    25,
    26,
    27,
    46,
    47,
    49,
    51,
    52,
    55,
    57,
    62,
    63,
    64,
    66,
    67,
    70,
    72,
    83,
    84,
    85,
    87,
    88
   ],
   [
    9,
    12,
    13,
    15,
    18,
    19,
    21,
    23,
    25,
    26,
    27,
    28,
    47,
    48,
    50,
    52,
    53,
    56,
    58,
    63,
    64,
    65,
    67,
    68,
    71,
    73,
    84,
    85,
    86,
    88,
    89
   ],
   [
    10,
    13,
    14,
    16,
    19,
    20,
    22,
    24,
    26,
    27,
    28,
    29,
    45,
    48,
    49,
    51,
    53,
    54,
    57,
    59,
    64,
    65,
    66,
    68,
    69,
    72,
    74,
    85,
    86,
    87,
    89
   ],
   [
    11,
    14,
    15,
    17,
    20,
    21,
    23,
    25,
    27,
    28,
    29,
    30,
    45,
    46,
    49,
    50,
    52,
    54,
    55,
    58,
    60,
    65,
    66,
    67,
    69,
    70,
    73,
    75,
    86,
    87,
    88
   ],
   [
    12,
    15,
    16,
    18,
    21,
    22,
    24,
    26,
    28,
    29,
    30,
    31,
    46,
    47,
    50,
    51,
    53,
    55,
    56,
    59,
    61,
    66,
    67,
    68,
    70,
    71,
    74,
    76,
    87,
    88,
    89
   ],
   [
    13,
    16,
    17,
    19,
    22,
    23,
    25,
    27,
    29,
    30,
    31,
    32,
    45,
    47,
    48,
    51,
    52,
    54,
    56,
    57,
    60,
    62,
    67,
    68,
    69,
    71,
    72,
    75,
    77,
    88,
    89
   ],
   [
    14,
    17,
    18,
    20,
    23,
    24,
    26,
    28,
    30,
    31,
    32,
    33,
    45,
    46,
    48,
    49,
    52,
    53,
    55,
    57,
    58,
    61,
    63,
    68,
    69,
    70,
    72,
    73,
    76,
    78,
    89
   ],
   [
    15,
    18,
    19,
    21,
    24,
    25,
    27,
    29,
    31,
    32,
    33,
    34,
    45,
    46,
    47,
    49,
    50,
    53,
    54,
    56,
    58,
    59,
    62,
    64,
    69,
    70,
    71,
    73,
    74,
    77,
    79
   ],
   [
    16,
    19,
    20,
    22,
    25,
    26,
    28,
    30,
    32,
    33,
    34,
    35,
    46,
    47,
    48,
    50,
    51,
    54,
    55,
    57,
    59,
    60,
    63,
    65,
    70,
    71,
    72,
    74,
    75,
    78,
    80
   ],
   [
    17,
    20,
    21,
    23,
    26,
    27,
    29,
    31,
    33,
    34,
    35,
    36,
    47,
    48,
    49,
    51,
    52,
    55,
    56,
    58,
    60,
    61,
    64,
    66,
    71,
    72,
    73,
    75,
    76,
    79,
    81
   ],
   [
    18,
    21,
    22,
    24,
    27,
    28,
    30,
    32,
    34,
    35,
    36,
    37,
    48,
    49,
    50,
    52,
    53,
    56,
    57,
    59,
    61,
    62,
    65,
    67,
    72,
    73,
    74,
    76,
    77,
    80,
    82
   ],
   [
    19,
    22,
    23,
    25,
    28,
    29,
    31,
    33,
    35,
    36,
    37,
    38,
    49,
    50,
    51,
    53,
    54,
    57,
    58,
    60,
    62,
    63,
    66,
    68,
    73,
    74,
    75,
    77,
    78,
    81,
    83
   ],
   [
    20,
    23,
    24,
    26,
    29,
    30,
    32,
    34,
    36,
    37,
    38,
    39,
    50,
    51,
    52,
    54,
    55,
    58,
    59,
    61,
    63,
    64,
    67,
    69,
    74,
    75,
    76,
    78,
    79,
    82,
    84
   ],
   [
    21,
    24,
    25,
    27,
    30,
    31,
    33,
    35,
    37,
    38,
    39,
    40,
    51,
    52,
    53,
    55,
    56,
    59,
    60,
    62,
    64,
    65,
    68,
    70,
    75,
    76,
    77,
    79,
    80,
    83,
    85
   ],
   [
    22,
    25,
    26,
    28,
    31,
    32,
    34,
    36,
    38,
    39,
    40,
    41,
    52,
    53,
    54,
    56,
    57,
    60,
    61,
    63,
    65,
    66,
    69,
    71,
    76,
    77,
    78,
    80,
    81,
    84,
    86
   ],
   [
    23,
    26,
    27,
    29,
    32,
    33,
    35,
    37,
    39,
    40,
    41,
    42,
    53,
    54,
    55,
    57,
    58,
    61,
    62,
    64,
    66,
    67,
    70,
    72,
    77,
    78,
    79,
    81,
    82,
    85,
    87
   ],
   [
    24,
    27,
    28,
    30,
    33,
    34,
    36,
    38,
    40,
    41,
    42,
    43,
    54,
    55,
    56,
    58,
    59,
    62,
    63,
    65,
    67,
    68,
    71,
    73,
    78,
    79,
    80,
    82,
    83,
    86,
    88
   ],
   [
    25,
    28,
    29,
    31,
    34,
    35,
    37,
    39,
    41,
    42,
    43,
    44,
    55,
    56,
    57,
    59,
    60,
    63,
    64,
    66,
    68,
    69,
    72,
    74,
    79,
    80,
    81,
    83,
    84,
    87,
    89
   ],
   [
    0,
    26,
    29,
    30,
    32,
    35,
    36,
    38,
    40,
    42,
    43,
    44,
    45,
    56,
    57,
    58,
    60,
    61,
    64,
    65,
    67,
    69,
    70,
    73,
    75,
    80,
    81,
    82,
    84,
    85,
    88
   ],
   [
    0,
    1,
    27,
    30,
    31,
    33,
    36,
    37,
    39,
    41,
    43,
    44,
    46,
    57,
    58,
    59,
    61,
    62,
    65,
    66,
    68,
    70,
    71,
    74,
    76,
    81,
    82,
    83,
    85,
    86,
    89
   ],
   [
    0,
    1,
    2,
    28,
    31,
    32,
    34,
    37,
    38,
    40,
    42,
    44,
    45,
    47,
    58,
    59,
    60,
    62,
    63,
    66,
    67,
    69,
    71,
    72,
    75,
    77,
    82,
    83,
    84,
    86,
    87
   ],
   [
    0,
    1,
    2,
    3,
    29,
    32,
    33,
    35,
    38,
    39,
    41,
    43,
    46,
    48,
    59,
    60,
    61,
    63,
    64,
    67,
    68,
    70,
    72,
    73,
    76,
    78,
    83,
    84,
    85,
    87,
    88
   ],
   [
    1,
    2,
    3,
    4,
    30,
    33,
    34,
    36,
    39,
    40,
    42,
    44,
    47,
    49,
    60,
    61,
    62,
    64,
    65,
    68,
    69,
    71,
    73,
    74,
    77,
    79,
    84,
    85,
    86,
    88,
    89
   ],
   [
    0,
    2,
    3,
    4,
    5,
    31,
    34,
    35,
    37,
    40,
    41,
    43,
    45,
    48,
    50,
    61,
    62,
    63,
    65,
    66,
    69,
    70,
    72,
    74,
    75,
    78,
    80,
    85,
    86,
    87,
    89
   ],
   [
    1,
    3,
    4,
    5,
    6,
    32,
    35,
    36,
    38,
    41,
    42,
    44,
    45,
    46,
    49,
    51,
    62,
    63,
    64,
    66,
    67,
    70,
    71,
    73,
    75,
    76,
    79,
    81,
    86,
    87,
    88
   ],
   [
    0,
    2,
    4,
    5,
    6,
    7,
    33,
    36,
    37,
    39,
    42,
    43,
    46,
    47,
    50,
    52,
    63,
    64,
    65,
    67,
    68,
    71,
    72,
    74,
    76,
    77,
    80,
    82,
    87,
    88,
    89
   ],
   [
    1,
    3,
    5,
    6,
    7,
    8,
    34,
    37,
    38,
    40,
    43,
    44,
    45,
    47,
    48,
    51,
    53,
    64,
    65,
    66,
    68,
    69,
    72,
    73,
    75,
    77,
    78,
    81,
    83,
    88,
    89
   ],
   [
    0,
    2,
    4,
    6,
    7,
    8,
    9,
    35,
    38,
    39,
    41,
    44,
    45,
    46,
    48,
    49,
    52,
    54,
    65,
    66,
    67,
    69,
    70,
    73,
    74,
    76,
    78,
    79,
    82,
    84,
    89
   ]
  ],
  "Z": [
   [
    0,
    5,
    7,
    10,
    11,
    13,
    15,
    16,
    19,
    20,
    22,
    23,
    24,
    35,
    37,
    40,
    41,
    43,
    44,
    45,
    48,
    50,
    51,
    54,
    80,
    81,
    82,
    83,
    85,
    87,
    89
   ],
   [
    0,
    1,
    6,
    8,
    11,
    12,
    14,
    16,
    17,
    20,
    21,
    23,
    24,
    25,
    36,
    38,
    41,
    42,
    44,
    45,
    46,
    49,
    51,
    52,
    55,
    81,
    82,
    83,
    84,
    86,
    88
   ],
   [
    0,
    1,
    2,
    7,
    9,
    12,
    13,
    15,
    17,
    18,
    21,
    22,
    24,
    25,
    26,
    37,
    39,
    42,
    43,
    46,
    47,
    50,
    52,
    53,
    56,
    82,
    83,
    84,
    85,
    87,
    89
   ],
   [
    1,
    2,
    3,
    8,
    10,
    13,
    14,
    16,
    18,
    19,
    22,
    23,
    25,
    26,
    27,
    38,
    40,
    43,
    44,
    45,
    47,
    48,
    51,
    53,
    54,
    57,
    83,
    84,
    85,
    86,
    88
   ],
   [
    0,
    2,
    3,
    4,
    9,
    11,
    14,
    15,
    17,
    19,
    20,
    23,
    24,
    26,
    27,
    28,
    39,
    41,
    44,
    46,
    48,
    49,
    52,
    54,
    55,
    58,
    84,
    85,
    86,
    87,
    89
   ],
   [
    0,
    1,
    3,
    4,
    5,
    10,
    12,
    15,
    16,
    18,
    20,
    21,
    24,
    25,
    27,
    28,
    29,
    40,
    42,
    45,
    47,
    49,
    50,
    53,
    55,
    56,
    59,
    85,
    86,
    87,
    88
   ],
   [
    1,
    2,
    4,
    5,
    6,
    11,
    13,
    16,
    17,
    19,
    21,
    22,
    25,
    26,
    28,
    29,
    30,
    41,
    43,
    46,
    48,
    50,
    51,
    54,
    56,
    57,
    60,
    86,
    87,
    88,
    89
   ],
   [
    2,
    3,
    5,
    6,
    7,
    12,
    14,
    17,
    18,
    20,
    22,
    23,
    26,
    27,
    29,
    30,
    31,
    42,
    44,
    45,
    47,
    49,
    51,
    52,
    55,
    57,
    58,
    61,
    87,
    88,
    89
   ],
   [
    0,
    3,
    4,
    6,
    7,
    8,
    13,
    15,
    18,
    19,
    21,
    23,
    24,
    27,
    28,
    30,
    31,
    32,
    43,
    45,
    46,
    48,
    50,
    52,
    53,
    56,
    58,
    59,
    62,
    88,
    89
   ],
   [
    1,
    4,
    5,
    7,
    8,
    9,
    14,
    16,
    19,
    20,
    22,
    24,
    25,
    28,
    29,
    31,
    32,
    33,
    44,
    45,
    46,
    47,
    49,
    51,
    53,
    54,
    57,
    59,
    60,
    63,
    89
   ],
   [
    0,
    2,
    5,
    6,
    8,
    9,
    10,
    15,
    17,
    20,
    21,
    23,
    25,
    26,
    29,
    30,
    32,
    33,
    34,
    45,
    46,
    47,
    48,
    50,
    52,
    54,
    55,
    58,
    60,
    61,
    64
   ],
   [
    1,
    3,
    6,
    7,
    9,
    10,
    11,
    16,
    18,
    21,
    22,
    24,
    26,
    27,
    30,
    31,
    33,
    34,
    35,
    46,
    47,
    48,
    49,
    51,
    53,
    55,
    56,
    59,
    61,
    62,
    65
   ],
   [
    2,
    4,
    7,
    8,
    10,
    11,
    12,
    17,
    19,
    22,
    23,
    25,
    27,
    28,
    31,
    32,
    34,
    35,
    36,
    47,
    48,
    49,
    50,
    52,
    54,
    56,
    57,
    60,
    62,
    63,
    66
   ],
   [
    3,
    5,
    8,
    9,
    11,
    12,
    13,
    18,
    20,
    23,
    24,
    26,
    28,
    29,
    32,
    33,
    35,
    36,
    37,
    48,
    49,
    50,
    51,
    53,
    55,
    57,
    58,
    61,
    63,
    64,
    67
   ],
   [
    4,
    6,
    9,
    10,
    12,
    13,
    14,
    19,
    21,
    24,
    25,
    27,
    29,
    30,
    33,
    34,
    36,
    37,
    38,
    49,
    50,
    51,
    52,
    54,
    56,
    58,
    59,
    62,
    64,
    65,
    68
   ],
   [
    5,
    7,
    10,
    11,
    13,
    14,
    15,
    20,
    22,
    25,
    26,
    28,
    30,
    31,
    34,
    35,
    37,
    38,
    39,
    50,
    51,
    52,
    53,
    55,
    57,
    59,
    60,
    63,
    65,
    66,
    69
   ],
   [
    6,
    8,
    11,
    12,
    14,
    15,
    16,
    21,
    23,
    26,
    27,
    29,
    31,
    32,
    35,
    36,
    38,
    39,
    40,
    51,
    52,
    53,
    54,
    56,
    58,
    60,
    61,
    64,
    66,
    67,
    70
   ],
   [
    7,
    9,
    12,
    13,
    15,
    16,
    17,
    22,
    24,
    27,
    28,
    30,
    32,
    33,
    36,
    37,
    39,
    40,
    41,
    52,
    53,
    54,
    55,
    57,
    59,
    61,
    62,
    65,
    67,
    68,
    71
   ],
   [
    8,
    10,
    13,
    14,
    16,
    17,
    18,
    23,
    25,
    28,
    29,
    31,
    33,
    34,
    37,
    38,
    40,
    41,
    42,
    53,
    54,
    55,
    56,
    58,
    60,
    62,
    63,
    66,
    68,
    69,
    72
   ],
   [
    9,
    11,
    14,
    15,
    17,
    18,
    19,
    24,
    26,
    29,
    30,
    32,
    34,
    35,
    38,
    39,
    41,
    42,
    43,
    54,
    55,
    56,
    57,
    59,
    61,
    63,
    64,
    67,
    69,
    70,
    73
   ],
   [
    10,
    12,
    15,
    16,
    18,
    19,
    20,
    25,
    27,
    30,
    31,
    33,
    35,
    36,
    39,
    40,
    42,
    43,
    44,
    55,
    56,
    57,
    58,
    60,
    62,
    64,
    65,
    68,
    70,
    71,
    74
   ],
   [
    0,
    11,
    13,
    16,
    17,
    19,
    20,
    21,
    26,
    28,
    31,
    32,
    34,
    36,
    37,
    40,
    41,
    43,
    44,
    56,
    57,
    58,
    59,
    61,
    63,
    65,
    66,
    69,
    71,
    72,
    75
   ],
   [
    0,
    1,
    12,
    14,
    17,
    18,
    20,
    21,
    22,
    27,
    29,
    32,
    33,
    35,
    37,
    38,
    41,
    42,
    44,
    57,
    58,
    59,
    60,
    62,
    64,
    66,
    67,
    70,
    72,
    73,
    76
   ],
   [
    0,
    1,
    2,
    13,
    15,
    18,
    19,
    21,
    22,
    23,
    28,
    30,
    33,
    34,
    36,
    38,
    39,
    42,
    43,
    58,
    59,
    60,
    61,
    63,
    65,
    67,
    68,
    71,
    73,
    74,
    77
   ],
   [
    1,
    2,
    3,
    14,
    16,
    19,
    20,
    22,
    23,
    24,
    29,
    31,
    34,
    35,
    37,
    39,
    40,
    43,
    44,
    59,
    60,
    61,
    62,
    64,
    66,
    68,
    69,
    72,
    74,
    75,
    78
   ],
   [
    0,
    2,
    3,
    4,
    15,
    17,
    20,
    21,
    23,
    24,
    25,
    30,
    32,
    35,
    36,
    38,
    40,
    41,
    44,
    60,
    61,
    62,
    63,
    65,
    67,
    69,
    70,
    73,
    75,
    76,
    79
   ],
   [
    0,
    1,
    3,
    4,
    5,
    16,
    18,
    21,
    22,
    24,
    25,
    26,
    31,
    33,
    36,
    37,
    39,
    41,
    42,
    61,
    62,
    63,
    64,
    66,
    68,
    70,
    71,
    74,
    76,
    77,
    80
   ],
   [
    1,
    2,
    4,
    5,
    6,
    17,
    19,
    22,
    23,
    25,
    26,
    27,
    32,
    34,
    37,
    38,
    40,
    42,
    43,
    62,
    63,
    64,
    65,
    67,
    69,
    71,
    72,
    75,
    77,
    78,
    81
   ],
   [
    2,
    3,
    5,
    6,
    7,
    18,
    20,
    23,
    24,
    26,
    27,
    28,
    33,
    35,
    38,
    39,
    41,
    43,
    44,
    63,
    64,
    65,
    66,
    68,
    70,
    72,
    73,
    76,
    78,
    79,
    82
   ],
   [
    0,
    3,
    4,
    6,
    7,
    8,
    19,
    21,
    24,
    25,
    27,
    28,
    29,
    34,
    36,
    39,
    40,
    42,
    44,
    64,
    65,
    66,
    67,
    69,
    71,
    73,
    74,
    77,
    79,
    80,
    83
   ],
   [
    0,
    1,
    4,
    5,
    7,
    8,
    9,
    20,
    22,
    25,
    26,
    28,
    29,
    30,
    35,
    37,
    40,
    41,
    43,
    65,
    66,
    67,
    68,
    70,
    72,
    74,
    75,
    78,
    80,
    81,
    84
   ],
   [
    1,
    2,
    5,
    6,
    8,
    9,
    10,
    21,
    23,
    26,
    27,
    29,
    30,
    31,
    36,
    38,
    41,
    42,
    44,
    66,
    67,
    68,
    69,
    71,
    73,
    75,
    76,
    79,
    81,
    82,
    85
   ],
   [
    0,
    2,
    3,
    6,
    7,
    9,
    10,
    11,
    22,
    24,
    27,
    28,
    30,
    31,
    32,
    37,
    39,
    42,
    43,
    67,
    68,
    69,
    70,
    72,
    74,
    76,
    77,
    80,
    82,
    83,
    86
   ],
   [
    1,
    3,
    4,
    7,
    8,
    10,
    11,
    12,
    23,
    25,
    28,
    29,
    31,
    32,
    33,
    38,
    40,
    43,
    44,
    68,
    69,
    70,
    71,
    73,
    75,
    77,
    78,
    81,
    83,
    84,
    87
   ],
   [
    0,
    2,
    4,
    5,
    8,
    9,
    11,
    12,
    13,
    24,
    26,
    29,
    30,
    32,
    33,
    34,
    39,
    41,
    44,
    69,
    70,
    71,
    72,
    74,
    76,
    78,
    79,
    82,
    84,
    85,
    88
   ],
   [
    0,
    1,
    3,
    5,
    6,
    9,
    10,
    12,
    13,
    14,
    25,
    27,
    30,
    31,
    33,
    34,
    35,
    40,
    42,
    70,
    71,
    72,
    73,
    75,
    77,
    79,
    80,
    83,
    85,
    86,
    89
   ],
   [
    1,
    2,
    4,
    6,
    7,
    10,
    11,
    13,
    14,
    15,
    26,
    28,
    31,
    32,
    34,
    35,
    36,
    41,
    43,
    45,
    71,
    72,
    73,
    74,
    76,
    78,
    80,
    81,
    84,
    86,
    87
   ],
   [
    2,
    3,
    5,
    7,
    8,
    11,
    12,
    14,
    15,
    16,
    27,
    29,
    32,
    33,
    35,
    36,
    37,
    42,
    44,
    46,
    72,
    73,
    74,
    75,
    77,
    79,
    81,
    82,
    85,
    87,
    88
   ],
   [
    0,
    3,
    4,
    6,
    8,
    9,
    12,
    13,
    15,
    16,
    17,
    28,
    30,
    33,
    34,
    36,
    37,
    38,
    43,
    47,
    73,
    74,
    75,
    76,
    78,
    80,
    82,
    83,
    86,
    88,
    89
   ],
   [
    1,
    4,
    5,
    7,
    9,
    10,
    13,
    14,
    16,
    17,
    18,
    29,
    31,
    34,
    35,
    37,
    38,
    39,
    44,
    45,
    48,
    74,
    75,
    76,
    77,
    79,
    81,
    83,
    84,
    87,
    89
   ],
   [
    0,
    2,
    5,
    6,
    8,
    10,
    11,
    14,
    15,
    17,
    18,
    19,
    30,
    32,
    35,
    36,
    38,
    39,
    40,
    45,
    46,
    49,
    75,
    76,
    77,
    78,
    80,
    82,
    84,
    85,
    88
   ],
   [
    1,
    3,
    6,
    7,
    9,
    11,
    12,
    15,
    16,
    18,
    19,
    20,
    31,
    33,
    36,
    37,
    39,
    40,
    41,
    46,
    47,
    50,
    76,
    77,
    78,
    79,
    81,
    83,
    85,
    86,
    89
   ],
   [
    2,
    4,
    7,
    8,
    10,
    12,
    13,
    16,
    17,
    19,
    20,
    21,
    32,
    34,
    37,
    38,
    40,
    41,
    42,
    45,
    47,
    48,
    51,
    77,
    78,
    79,
    80,
    82,
    84,
    86,
    87
   ],
   [
    3,
    5,
    8,
    9,
    11,
    13,
    14,
    17,
    18,
    20,
    21,
    22,
    33,
    35,
    38,
    39,
    41,
    42,
    43,
    46,
    48,
    49,
    52,
    78,
    79,
    80,
    81,
    83,
    85,
    87,
    88
   ],
   [
    4,
    6,
    9,
    10,
    12,
    14,
    15,
    18,
    19,
    21,
    22,
    23,
    34,
    36,
    39,
    40,
    42,
    43,
    44,
    47,
    49,
    50,
    53,
    79,
    80,
    81,
    82,
    84,
    86,
    88,
    89
   ]
  ]
 },
 "distance": {
  "d": 7,
  "X": {
   "value": 7,
   "confidence": "upper_bound",
   "witness": [
    19,
    20,
    27,
    28,
    49,
    58,
    73
   ]
  },
  "Z": {
   "value": 7,
   "confidence": "upper_bound",
   "witness": [
    18,
    33,
    42,
    63,
    64,
    71,
    72
   ]
  }
 },
 "provenance": {
  "authors": [
   "Liangdong Lu",
   "Guanmin Guo",
   "Yang Liu",
   "Ruipan Yang",
   "@mathysrennela"
  ],
  "construction": "Cyclic bicycle over F_2[Z_45], with circulant supports a=[0, 1, 3, 5, 7, 8, 9, 10, 36, 39, 40, 42] and b=[0, 1, 2, 4, 5, 8, 10, 21, 22, 23, 25, 26, 29, 30, 32, 34, 35, 38, 40], from Table III of arXiv:2608.09115v1.",
  "references": [
   "arXiv:2608.09115"
  ],
  "date": "2026-08-10",
  "notes": "The paper reports exact d=7. This staged record keeps the repository's witness-backed distance evidence as upper_bound until trusted certification.",
  "model": "GPT-5.6 Luna",
  "origin": "submission",
  "novelty": "known_parameters"
 },
 "family": "generalized-bicycle"
}