{
 "schema_version": "0.1",
 "name": "[[100,2,10]]",
 "code_type": "CSS",
 "n": 100,
 "k": 2,
 "checks": {
  "X": [
   [
    0,
    1,
    50,
    59
   ],
   [
    1,
    2,
    51,
    60
   ],
   [
    2,
    3,
    52,
    61
   ],
   [
    3,
    4,
    53,
    62
   ],
   [
    4,
    5,
    54,
    63
   ],
   [
    5,
    6,
    55,
    64
   ],
   [
    6,
    7,
    56,
    65
   ],
   [
    7,
    8,
    57,
    66
   ],
   [
    8,
    9,
    58,
    67
   ],
   [
    9,
    10,
    59,
    68
   ],
   [
    10,
    11,
    60,
    69
   ],
   [
    11,
    12,
    61,
    70
   ],
   [
    12,
    13,
    62,
    71
   ],
   [
    13,
    14,
    63,
    72
   ],
   [
    14,
    15,
    64,
    73
   ],
   [
    15,
    16,
    65,
    74
   ],
   [
    16,
    17,
    66,
    75
   ],
   [
    17,
    18,
    67,
    76
   ],
   [
    18,
    19,
    68,
    77
   ],
   [
    19,
    20,
    69,
    78
   ],
   [
    20,
    21,
    70,
    79
   ],
   [
    21,
    22,
    71,
    80
   ],
   [
    22,
    23,
    72,
    81
   ],
   [
    23,
    24,
    73,
    82
   ],
   [
    24,
    25,
    74,
    83
   ],
   [
    25,
    26,
    75,
    84
   ],
   [
    26,
    27,
    76,
    85
   ],
   [
    27,
    28,
    77,
    86
   ],
   [
    28,
    29,
    78,
    87
   ],
   [
    29,
    30,
    79,
    88
   ],
   [
    30,
    31,
    80,
    89
   ],
   [
    31,
    32,
    81,
    90
   ],
   [
    32,
    33,
    82,
    91
   ],
   [
    33,
    34,
    83,
    92
   ],
   [
    34,
    35,
    84,
    93
   ],
   [
    35,
    36,
    85,
    94
   ],
   [
    36,
    37,
    86,
    95
   ],
   [
    37,
    38,
    87,
    96
   ],
   [
    38,
    39,
    88,
    97
   ],
   [
    39,
    40,
    89,
    98
   ],
   [
    40,
    41,
    90,
    99
   ],
   [
    41,
    42,
    50,
    91
   ],
   [
    42,
    43,
    51,
    92
   ],
   [
    43,
    44,
    52,
    93
   ],
   [
    44,
    45,
    53,
    94
   ],
   [
    45,
    46,
    54,
    95
   ],
   [
    46,
    47,
    55,
    96
   ],
   [
    47,
    48,
    56,
    97
   ],
   [
    48,
    49,
    57,
    98
   ],
   [
    0,
    49,
    58,
    99
   ]
  ],
  "Z": [
   [
    0,
    41,
    50,
    99
   ],
   [
    1,
    42,
    50,
    51
   ],
   [
    2,
    43,
    51,
    52
   ],
   [
    3,
    44,
    52,
    53
   ],
   [
    4,
    45,
    53,
    54
   ],
   [
    5,
    46,
    54,
    55
   ],
   [
    6,
    47,
    55,
    56
   ],
   [
    7,
    48,
    56,
    57
   ],
   [
    8,
    49,
    57,
    58
   ],
   [
    0,
    9,
    58,
    59
   ],
   [
    1,
    10,
    59,
    60
   ],
   [
    2,
    11,
    60,
    61
   ],
   [
    3,
    12,
    61,
    62
   ],
   [
    4,
    13,
    62,
    63
   ],
   [
    5,
    14,
    63,
    64
   ],
   [
    6,
    15,
    64,
    65
   ],
   [
    7,
    16,
    65,
    66
   ],
   [
    8,
    17,
    66,
    67
   ],
   [
    9,
    18,
    67,
    68
   ],
   [
    10,
    19,
    68,
    69
   ],
   [
    11,
    20,
    69,
    70
   ],
   [
    12,
    21,
    70,
    71
   ],
   [
    13,
    22,
    71,
    72
   ],
   [
    14,
    23,
    72,
    73
   ],
   [
    15,
    24,
    73,
    74
   ],
   [
    16,
    25,
    74,
    75
   ],
   [
    17,
    26,
    75,
    76
   ],
   [
    18,
    27,
    76,
    77
   ],
   [
    19,
    28,
    77,
    78
   ],
   [
    20,
    29,
    78,
    79
   ],
   [
    21,
    30,
    79,
    80
   ],
   [
    22,
    31,
    80,
    81
   ],
   [
    23,
    32,
    81,
    82
   ],
   [
    24,
    33,
    82,
    83
   ],
   [
    25,
    34,
    83,
    84
   ],
   [
    26,
    35,
    84,
    85
   ],
   [
    27,
    36,
    85,
    86
   ],
   [
    28,
    37,
    86,
    87
   ],
   [
    29,
    38,
    87,
    88
   ],
   [
    30,
    39,
    88,
    89
   ],
   [
    31,
    40,
    89,
    90
   ],
   [
    32,
    41,
    90,
    91
   ],
   [
    33,
    42,
    91,
    92
   ],
   [
    34,
    43,
    92,
    93
   ],
   [
    35,
    44,
    93,
    94
   ],
   [
    36,
    45,
    94,
    95
   ],
   [
    37,
    46,
    95,
    96
   ],
   [
    38,
    47,
    96,
    97
   ],
   [
    39,
    48,
    97,
    98
   ],
   [
    40,
    49,
    98,
    99
   ]
  ]
 },
 "distance": {
  "d": 10,
  "X": {
   "value": 10,
   "confidence": "upper_bound",
   "witness": [
    8,
    17,
    28,
    38,
    47,
    56,
    57,
    76,
    77,
    87
   ]
  },
  "Z": {
   "value": 10,
   "confidence": "upper_bound",
   "witness": [
    13,
    23,
    24,
    43,
    44,
    53,
    62,
    72,
    83,
    92
   ]
  }
 },
 "provenance": {
  "authors": [
   "@vprusso"
  ],
  "construction": "Cyclic generalized-bicycle code on the ring x^50 - 1 with a(x) = x^0 + x^1, b(x) = x^0 + x^9; H_X = [circ(a) | circ(b)], H_Z = [circ(b)^T | circ(a)^T].",
  "origin": "submission",
  "novelty": "known_parameters",
  "model": "Claude Opus 5",
  "date": "2026-09-20",
  "notes": "Found by a randomized sweep over sparse polynomial pairs, screened against the live board before any expensive work. Checked for single-block logicals via the ideal generated by (x^m - 1)/gcd(a, x^m - 1) before the distance was believed."
 },
 "family": "generalized-bicycle"
}