{
 "schema_version": "0.1",
 "name": "[[177,9,5]]",
 "code_type": "CSS",
 "n": 177,
 "k": 9,
 "checks": {
  "X": [
   [
    0,
    1
   ],
   [
    2,
    3
   ],
   [
    5,
    6
   ],
   [
    7,
    8
   ],
   [
    10,
    11
   ],
   [
    12,
    13
   ],
   [
    15,
    16
   ],
   [
    17,
    18
   ],
   [
    20,
    21
   ],
   [
    22,
    23
   ],
   [
    1,
    2,
    26,
    27
   ],
   [
    3,
    4,
    28,
    29
   ],
   [
    6,
    7,
    31,
    32
   ],
   [
    8,
    9,
    33,
    34
   ],
   [
    11,
    12,
    36,
    37
   ],
   [
    13,
    14,
    38,
    39
   ],
   [
    16,
    17,
    41,
    42
   ],
   [
    18,
    19,
    43,
    44
   ],
   [
    21,
    22,
    46,
    47
   ],
   [
    23,
    24,
    48,
    49
   ],
   [
    25,
    26,
    50,
    51
   ],
   [
    27,
    28,
    52,
    53
   ],
   [
    30,
    31,
    56,
    57
   ],
   [
    32,
    33,
    58,
    59
   ],
   [
    35,
    36,
    62,
    63
   ],
   [
    37,
    38,
    64,
    65
   ],
   [
    40,
    41,
    68,
    69
   ],
   [
    42,
    43,
    70,
    71
   ],
   [
    45,
    46,
    74,
    75
   ],
   [
    47,
    48,
    76,
    77
   ],
   [
    51,
    52,
    80,
    81
   ],
   [
    53,
    54,
    82,
    83
   ],
   [
    55,
    56,
    84,
    85
   ],
   [
    57,
    58,
    86,
    87
   ],
   [
    59,
    60,
    88,
    89
   ],
   [
    61,
    62,
    90,
    91
   ],
   [
    63,
    64,
    92,
    93
   ],
   [
    65,
    66,
    94,
    95
   ],
   [
    67,
    68,
    96,
    97
   ],
   [
    69,
    70,
    98,
    99
   ],
   [
    71,
    72,
    100,
    101
   ],
   [
    73,
    74,
    102,
    103
   ],
   [
    75,
    76,
    104,
    105
   ],
   [
    77,
    78,
    106,
    107
   ],
   [
    79,
    80,
    108,
    109
   ],
   [
    81,
    82,
    110,
    111
   ],
   [
    83,
    84,
    112,
    113
   ],
   [
    85,
    86,
    114,
    115
   ],
   [
    87,
    88,
    116,
    117
   ],
   [
    89,
    90,
    118,
    119
   ],
   [
    91,
    92,
    120,
    121
   ],
   [
    93,
    94,
    122,
    123
   ],
   [
    95,
    96,
    124,
    125
   ],
   [
    97,
    98,
    126,
    127
   ],
   [
    99,
    100,
    128,
    129
   ],
   [
    101,
    102,
    130,
    131
   ],
   [
    103,
    104,
    132,
    133
   ],
   [
    105,
    106,
    134,
    135
   ],
   [
    109,
    110
   ],
   [
    111,
    112,
    137,
    138
   ],
   [
    113,
    114,
    139,
    140
   ],
   [
    115,
    116,
    141
   ],
   [
    117,
    118,
    142,
    143
   ],
   [
    119,
    120,
    144,
    145
   ],
   [
    121,
    122,
    146
   ],
   [
    123,
    124,
    147,
    148
   ],
   [
    125,
    126,
    149,
    150
   ],
   [
    127,
    128,
    151
   ],
   [
    129,
    130,
    152,
    153
   ],
   [
    131,
    132,
    154,
    155
   ],
   [
    133,
    134,
    156
   ],
   [
    135,
    136
   ],
   [
    137,
    157
   ],
   [
    138,
    139,
    158,
    159
   ],
   [
    140,
    141,
    160,
    161
   ],
   [
    142,
    162
   ],
   [
    143,
    144,
    163,
    164
   ],
   [
    145,
    146,
    165,
    166
   ],
   [
    147,
    167
   ],
   [
    148,
    149,
    168,
    169
   ],
   [
    150,
    151,
    170,
    171
   ],
   [
    152,
    172
   ],
   [
    153,
    154,
    173,
    174
   ],
   [
    155,
    156,
    175,
    176
   ]
  ],
  "Z": [
   [
    0,
    1,
    25,
    26
   ],
   [
    2,
    3,
    27,
    28
   ],
   [
    4,
    29
   ],
   [
    5,
    6,
    30,
    31
   ],
   [
    7,
    8,
    32,
    33
   ],
   [
    9,
    34
   ],
   [
    10,
    11,
    35,
    36
   ],
   [
    12,
    13,
    37,
    38
   ],
   [
    14,
    39
   ],
   [
    15,
    16,
    40,
    41
   ],
   [
    17,
    18,
    42,
    43
   ],
   [
    19,
    44
   ],
   [
    20,
    21,
    45,
    46
   ],
   [
    22,
    23,
    47,
    48
   ],
   [
    24,
    49
   ],
   [
    25,
    50
   ],
   [
    26,
    27,
    51,
    52
   ],
   [
    28,
    29,
    53,
    54
   ],
   [
    30,
    55,
    56
   ],
   [
    31,
    32,
    57,
    58
   ],
   [
    33,
    34,
    59,
    60
   ],
   [
    35,
    61,
    62
   ],
   [
    36,
    37,
    63,
    64
   ],
   [
    38,
    39,
    65,
    66
   ],
   [
    40,
    67,
    68
   ],
   [
    41,
    42,
    69,
    70
   ],
   [
    43,
    44,
    71,
    72
   ],
   [
    45,
    73,
    74
   ],
   [
    46,
    47,
    75,
    76
   ],
   [
    48,
    49,
    77,
    78
   ],
   [
    50,
    51,
    79,
    80
   ],
   [
    52,
    53,
    81,
    82
   ],
   [
    54,
    55,
    83,
    84
   ],
   [
    56,
    57,
    85,
    86
   ],
   [
    58,
    59,
    87,
    88
   ],
   [
    60,
    61,
    89,
    90
   ],
   [
    62,
    63,
    91,
    92
   ],
   [
    64,
    65,
    93,
    94
   ],
   [
    66,
    67,
    95,
    96
   ],
   [
    68,
    69,
    97,
    98
   ],
   [
    70,
    71,
    99,
    100
   ],
   [
    72,
    73,
    101,
    102
   ],
   [
    74,
    75,
    103,
    104
   ],
   [
    76,
    77,
    105,
    106
   ],
   [
    78,
    107
   ],
   [
    79,
    108
   ],
   [
    80,
    81,
    109,
    110
   ],
   [
    82,
    83,
    111,
    112
   ],
   [
    84,
    85,
    113,
    114
   ],
   [
    86,
    87,
    115,
    116
   ],
   [
    88,
    89,
    117,
    118
   ],
   [
    90,
    91,
    119,
    120
   ],
   [
    92,
    93,
    121,
    122
   ],
   [
    94,
    95,
    123,
    124
   ],
   [
    96,
    97,
    125,
    126
   ],
   [
    98,
    99,
    127,
    128
   ],
   [
    100,
    101,
    129,
    130
   ],
   [
    102,
    103,
    131,
    132
   ],
   [
    104,
    105,
    133,
    134
   ],
   [
    106,
    107,
    135,
    136
   ],
   [
    112,
    113,
    138,
    139
   ],
   [
    114,
    115,
    140,
    141
   ],
   [
    118,
    119,
    143,
    144
   ],
   [
    120,
    121,
    145,
    146
   ],
   [
    124,
    125,
    148,
    149
   ],
   [
    126,
    127,
    150,
    151
   ],
   [
    130,
    131,
    153,
    154
   ],
   [
    132,
    133,
    155,
    156
   ],
   [
    137,
    138,
    157,
    158
   ],
   [
    139,
    140,
    159,
    160
   ],
   [
    142,
    143,
    162,
    163
   ],
   [
    144,
    145,
    164,
    165
   ],
   [
    147,
    148,
    167,
    168
   ],
   [
    149,
    150,
    169,
    170
   ],
   [
    152,
    153,
    172,
    173
   ],
   [
    154,
    155,
    174,
    175
   ],
   [
    158,
    159
   ],
   [
    160,
    161
   ],
   [
    163,
    164
   ],
   [
    165,
    166
   ],
   [
    168,
    169
   ],
   [
    170,
    171
   ],
   [
    173,
    174
   ],
   [
    175,
    176
   ]
  ]
 },
 "distance": {
  "d": 5,
  "X": {
   "value": 5,
   "confidence": "upper_bound",
   "witness": [
    21,
    45,
    73,
    101,
    129
   ]
  },
  "Z": {
   "value": 5,
   "confidence": "upper_bound",
   "witness": [
    67,
    97,
    127,
    151,
    170
   ]
  }
 },
 "provenance": {
  "authors": [
   "@Xo1otl"
  ],
  "construction": "contributed via qldpc submit",
  "origin": "submission",
  "date": "2026-08-20",
  "model": "Claude Opus 5",
  "notes": "Same construction family as the board's existing dense-packing column [[101,5,5]], [[197,5,7]], [[325,5,9]], [[485,5,11]], [[677,5,13]], which is the m=3 case of this parameterization and is reproduced by it exactly. This entry is the m=5 rung at d=5 and is not equivalent to any of them: n and k both differ. Distance is a witness-backed upper bound from 20000 RIS trials per side, not a certified exact distance."
 },
 "locality": {
  "coordinates": [
   [
    0.5,
    0.5
   ],
   [
    1.5,
    0.5
   ],
   [
    2.5,
    0.5
   ],
   [
    3.5,
    0.5
   ],
   [
    4.5,
    0.5
   ],
   [
    6.5,
    0.5
   ],
   [
    7.5,
    0.5
   ],
   [
    8.5,
    0.5
   ],
   [
    9.5,
    0.5
   ],
   [
    10.5,
    0.5
   ],
   [
    12.5,
    0.5
   ],
   [
    13.5,
    0.5
   ],
   [
    14.5,
    0.5
   ],
   [
    15.5,
    0.5
   ],
   [
    16.5,
    0.5
   ],
   [
    18.5,
    0.5
   ],
   [
    19.5,
    0.5
   ],
   [
    20.5,
    0.5
   ],
   [
    21.5,
    0.5
   ],
   [
    22.5,
    0.5
   ],
   [
    24.5,
    0.5
   ],
   [
    25.5,
    0.5
   ],
   [
    26.5,
    0.5
   ],
   [
    27.5,
    0.5
   ],
   [
    28.5,
    0.5
   ],
   [
    0.5,
    1.5
   ],
   [
    1.5,
    1.5
   ],
   [
    2.5,
    1.5
   ],
   [
    3.5,
    1.5
   ],
   [
    4.5,
    1.5
   ],
   [
    6.5,
    1.5
   ],
   [
    7.5,
    1.5
   ],
   [
    8.5,
    1.5
   ],
   [
    9.5,
    1.5
   ],
   [
    10.5,
    1.5
   ],
   [
    12.5,
    1.5
   ],
   [
    13.5,
    1.5
   ],
   [
    14.5,
    1.5
   ],
   [
    15.5,
    1.5
   ],
   [
    16.5,
    1.5
   ],
   [
    18.5,
    1.5
   ],
   [
    19.5,
    1.5
   ],
   [
    20.5,
    1.5
   ],
   [
    21.5,
    1.5
   ],
   [
    22.5,
    1.5
   ],
   [
    24.5,
    1.5
   ],
   [
    25.5,
    1.5
   ],
   [
    26.5,
    1.5
   ],
   [
    27.5,
    1.5
   ],
   [
    28.5,
    1.5
   ],
   [
    0.5,
    2.5
   ],
   [
    1.5,
    2.5
   ],
   [
    2.5,
    2.5
   ],
   [
    3.5,
    2.5
   ],
   [
    4.5,
    2.5
   ],
   [
    5.5,
    2.5
   ],
   [
    6.5,
    2.5
   ],
   [
    7.5,
    2.5
   ],
   [
    8.5,
    2.5
   ],
   [
    9.5,
    2.5
   ],
   [
    10.5,
    2.5
   ],
   [
    11.5,
    2.5
   ],
   [
    12.5,
    2.5
   ],
   [
    13.5,
    2.5
   ],
   [
    14.5,
    2.5
   ],
   [
    15.5,
    2.5
   ],
   [
    16.5,
    2.5
   ],
   [
    17.5,
    2.5
   ],
   [
    18.5,
    2.5
   ],
   [
    19.5,
    2.5
   ],
   [
    20.5,
    2.5
   ],
   [
    21.5,
    2.5
   ],
   [
    22.5,
    2.5
   ],
   [
    23.5,
    2.5
   ],
   [
    24.5,
    2.5
   ],
   [
    25.5,
    2.5
   ],
   [
    26.5,
    2.5
   ],
   [
    27.5,
    2.5
   ],
   [
    28.5,
    2.5
   ],
   [
    0.5,
    3.5
   ],
   [
    1.5,
    3.5
   ],
   [
    2.5,
    3.5
   ],
   [
    3.5,
    3.5
   ],
   [
    4.5,
    3.5
   ],
   [
    5.5,
    3.5
   ],
   [
    6.5,
    3.5
   ],
   [
    7.5,
    3.5
   ],
   [
    8.5,
    3.5
   ],
   [
    9.5,
    3.5
   ],
   [
    10.5,
    3.5
   ],
   [
    11.5,
    3.5
   ],
   [
    12.5,
    3.5
   ],
   [
    13.5,
    3.5
   ],
   [
    14.5,
    3.5
   ],
   [
    15.5,
    3.5
   ],
   [
    16.5,
    3.5
   ],
   [
    17.5,
    3.5
   ],
   [
    18.5,
    3.5
   ],
   [
    19.5,
    3.5
   ],
   [
    20.5,
    3.5
   ],
   [
    21.5,
    3.5
   ],
   [
    22.5,
    3.5
   ],
   [
    23.5,
    3.5
   ],
   [
    24.5,
    3.5
   ],
   [
    25.5,
    3.5
   ],
   [
    26.5,
    3.5
   ],
   [
    27.5,
    3.5
   ],
   [
    28.5,
    3.5
   ],
   [
    0.5,
    4.5
   ],
   [
    1.5,
    4.5
   ],
   [
    2.5,
    4.5
   ],
   [
    3.5,
    4.5
   ],
   [
    4.5,
    4.5
   ],
   [
    5.5,
    4.5
   ],
   [
    6.5,
    4.5
   ],
   [
    7.5,
    4.5
   ],
   [
    8.5,
    4.5
   ],
   [
    9.5,
    4.5
   ],
   [
    10.5,
    4.5
   ],
   [
    11.5,
    4.5
   ],
   [
    12.5,
    4.5
   ],
   [
    13.5,
    4.5
   ],
   [
    14.5,
    4.5
   ],
   [
    15.5,
    4.5
   ],
   [
    16.5,
    4.5
   ],
   [
    17.5,
    4.5
   ],
   [
    18.5,
    4.5
   ],
   [
    19.5,
    4.5
   ],
   [
    20.5,
    4.5
   ],
   [
    21.5,
    4.5
   ],
   [
    22.5,
    4.5
   ],
   [
    23.5,
    4.5
   ],
   [
    24.5,
    4.5
   ],
   [
    25.5,
    4.5
   ],
   [
    26.5,
    4.5
   ],
   [
    27.5,
    4.5
   ],
   [
    28.5,
    4.5
   ],
   [
    3.5,
    5.5
   ],
   [
    4.5,
    5.5
   ],
   [
    5.5,
    5.5
   ],
   [
    6.5,
    5.5
   ],
   [
    7.5,
    5.5
   ],
   [
    9.5,
    5.5
   ],
   [
    10.5,
    5.5
   ],
   [
    11.5,
    5.5
   ],
   [
    12.5,
    5.5
   ],
   [
    13.5,
    5.5
   ],
   [
    15.5,
    5.5
   ],
   [
    16.5,
    5.5
   ],
   [
    17.5,
    5.5
   ],
   [
    18.5,
    5.5
   ],
   [
    19.5,
    5.5
   ],
   [
    21.5,
    5.5
   ],
   [
    22.5,
    5.5
   ],
   [
    23.5,
    5.5
   ],
   [
    24.5,
    5.5
   ],
   [
    25.5,
    5.5
   ],
   [
    3.5,
    6.5
   ],
   [
    4.5,
    6.5
   ],
   [
    5.5,
    6.5
   ],
   [
    6.5,
    6.5
   ],
   [
    7.5,
    6.5
   ],
   [
    9.5,
    6.5
   ],
   [
    10.5,
    6.5
   ],
   [
    11.5,
    6.5
   ],
   [
    12.5,
    6.5
   ],
   [
    13.5,
    6.5
   ],
   [
    15.5,
    6.5
   ],
   [
    16.5,
    6.5
   ],
   [
    17.5,
    6.5
   ],
   [
    18.5,
    6.5
   ],
   [
    19.5,
    6.5
   ],
   [
    21.5,
    6.5
   ],
   [
    22.5,
    6.5
   ],
   [
    23.5,
    6.5
   ],
   [
    24.5,
    6.5
   ],
   [
    25.5,
    6.5
   ]
  ],
  "layers": 1
 }
}
