{
 "schema_version": "0.1",
 "name": "[[104,30,8]] pair-partition CPM CSS code (weight-8)",
 "code_type": "CSS",
 "n": 104,
 "k": 30,
 "checks": {
  "X": [
   [
    0,
    1,
    2,
    3,
    4,
    5,
    6,
    7
   ],
   [
    8,
    9,
    10,
    11,
    12,
    13,
    14,
    15
   ],
   [
    16,
    17,
    18,
    19,
    20,
    21,
    22,
    23
   ],
   [
    24,
    25,
    26,
    27,
    28,
    29,
    30,
    31
   ],
   [
    32,
    33,
    34,
    35,
    36,
    37,
    38,
    39
   ],
   [
    40,
    41,
    42,
    43,
    44,
    45,
    46,
    47
   ],
   [
    48,
    49,
    50,
    51,
    52,
    53,
    54,
    55
   ],
   [
    56,
    57,
    58,
    59,
    60,
    61,
    62,
    63
   ],
   [
    64,
    65,
    66,
    67,
    68,
    69,
    70,
    71
   ],
   [
    72,
    73,
    74,
    75,
    76,
    77,
    78,
    79
   ],
   [
    80,
    81,
    82,
    83,
    84,
    85,
    86,
    87
   ],
   [
    88,
    89,
    90,
    91,
    92,
    93,
    94,
    95
   ],
   [
    96,
    97,
    98,
    99,
    100,
    101,
    102,
    103
   ],
   [
    0,
    13,
    18,
    49,
    62,
    67,
    87,
    92
   ],
   [
    8,
    21,
    26,
    57,
    70,
    75,
    95,
    100
   ],
   [
    4,
    16,
    29,
    34,
    65,
    78,
    83,
    103
   ],
   [
    7,
    12,
    24,
    37,
    42,
    73,
    86,
    91
   ],
   [
    15,
    20,
    32,
    45,
    50,
    81,
    94,
    99
   ],
   [
    3,
    23,
    28,
    40,
    53,
    58,
    89,
    102
   ],
   [
    6,
    11,
    31,
    36,
    48,
    61,
    66,
    97
   ],
   [
    1,
    14,
    19,
    39,
    44,
    56,
    69,
    74
   ],
   [
    9,
    22,
    27,
    47,
    52,
    64,
    77,
    82
   ],
   [
    17,
    30,
    35,
    55,
    60,
    72,
    85,
    90
   ],
   [
    25,
    38,
    43,
    63,
    68,
    80,
    93,
    98
   ],
   [
    2,
    33,
    46,
    51,
    71,
    76,
    88,
    101
   ],
   [
    5,
    10,
    41,
    54,
    59,
    79,
    84,
    96
   ],
   [
    0,
    35,
    47,
    50,
    69,
    78,
    89,
    100
   ],
   [
    4,
    8,
    43,
    55,
    58,
    77,
    86,
    97
   ],
   [
    1,
    12,
    16,
    51,
    63,
    66,
    85,
    94
   ],
   [
    9,
    20,
    24,
    59,
    71,
    74,
    93,
    102
   ],
   [
    6,
    17,
    28,
    32,
    67,
    79,
    82,
    101
   ],
   [
    5,
    14,
    25,
    36,
    40,
    75,
    87,
    90
   ],
   [
    13,
    22,
    33,
    44,
    48,
    83,
    95,
    98
   ],
   [
    2,
    21,
    30,
    41,
    52,
    56,
    91,
    103
   ],
   [
    7,
    10,
    29,
    38,
    49,
    60,
    64,
    99
   ],
   [
    3,
    15,
    18,
    37,
    46,
    57,
    68,
    72
   ],
   [
    11,
    23,
    26,
    45,
    54,
    65,
    76,
    80
   ],
   [
    19,
    31,
    34,
    53,
    62,
    73,
    84,
    88
   ],
   [
    27,
    39,
    42,
    61,
    70,
    81,
    92,
    96
   ]
  ],
  "Z": [
   [
    0,
    7,
    10,
    13,
    73,
    78,
    83,
    84
   ],
   [
    8,
    15,
    18,
    21,
    81,
    86,
    91,
    92
   ],
   [
    16,
    23,
    26,
    29,
    89,
    94,
    99,
    100
   ],
   [
    3,
    4,
    24,
    31,
    34,
    37,
    97,
    102
   ],
   [
    1,
    6,
    11,
    12,
    32,
    39,
    42,
    45
   ],
   [
    9,
    14,
    19,
    20,
    40,
    47,
    50,
    53
   ],
   [
    17,
    22,
    27,
    28,
    48,
    55,
    58,
    61
   ],
   [
    25,
    30,
    35,
    36,
    56,
    63,
    66,
    69
   ],
   [
    33,
    38,
    43,
    44,
    64,
    71,
    74,
    77
   ],
   [
    41,
    46,
    51,
    52,
    72,
    79,
    82,
    85
   ],
   [
    49,
    54,
    59,
    60,
    80,
    87,
    90,
    93
   ],
   [
    57,
    62,
    67,
    68,
    88,
    95,
    98,
    101
   ],
   [
    2,
    5,
    65,
    70,
    75,
    76,
    96,
    103
   ],
   [
    0,
    6,
    75,
    77,
    82,
    87,
    97,
    100
   ],
   [
    1,
    4,
    8,
    14,
    83,
    85,
    90,
    95
   ],
   [
    9,
    12,
    16,
    22,
    91,
    93,
    98,
    103
   ],
   [
    2,
    7,
    17,
    20,
    24,
    30,
    99,
    101
   ],
   [
    3,
    5,
    10,
    15,
    25,
    28,
    32,
    38
   ],
   [
    11,
    13,
    18,
    23,
    33,
    36,
    40,
    46
   ],
   [
    19,
    21,
    26,
    31,
    41,
    44,
    48,
    54
   ],
   [
    27,
    29,
    34,
    39,
    49,
    52,
    56,
    62
   ],
   [
    35,
    37,
    42,
    47,
    57,
    60,
    64,
    70
   ],
   [
    43,
    45,
    50,
    55,
    65,
    68,
    72,
    78
   ],
   [
    51,
    53,
    58,
    63,
    73,
    76,
    80,
    86
   ],
   [
    59,
    61,
    66,
    71,
    81,
    84,
    88,
    94
   ],
   [
    67,
    69,
    74,
    79,
    89,
    92,
    96,
    102
   ],
   [
    0,
    4,
    19,
    23,
    58,
    62,
    65,
    69
   ],
   [
    8,
    12,
    27,
    31,
    66,
    70,
    73,
    77
   ],
   [
    16,
    20,
    35,
    39,
    74,
    78,
    81,
    85
   ],
   [
    24,
    28,
    43,
    47,
    82,
    86,
    89,
    93
   ],
   [
    32,
    36,
    51,
    55,
    90,
    94,
    97,
    101
   ],
   [
    1,
    5,
    40,
    44,
    59,
    63,
    98,
    102
   ],
   [
    2,
    6,
    9,
    13,
    48,
    52,
    67,
    71
   ],
   [
    10,
    14,
    17,
    21,
    56,
    60,
    75,
    79
   ],
   [
    18,
    22,
    25,
    29,
    64,
    68,
    83,
    87
   ],
   [
    26,
    30,
    33,
    37,
    72,
    76,
    91,
    95
   ],
   [
    34,
    38,
    41,
    45,
    80,
    84,
    99,
    103
   ],
   [
    3,
    7,
    42,
    46,
    49,
    53,
    88,
    92
   ],
   [
    11,
    15,
    50,
    54,
    57,
    61,
    96,
    100
   ]
  ]
 },
 "distance": {
  "d": 8,
  "X": {
   "value": 8,
   "confidence": "upper_bound",
   "witness": [
    0,
    17,
    55,
    65,
    75,
    84,
    94,
    99
   ]
  },
  "Z": {
   "value": 8,
   "confidence": "upper_bound",
   "witness": [
    21,
    23,
    80,
    83,
    93,
    95,
    102,
    103
   ]
  }
 },
 "provenance": {
  "authors": [
   "Lee, Jong Yeon"
  ],
  "origin": "baseline",
  "construction": "Cyclic all-one pair-partition CPM CSS construction (arXiv:2607.14091), instance PPS104_n104_k30_d8 (internal id j3l8_p13_00382): lift size p=13, (J,L)=(3,8), n=8*p=104, 3*p=39 checks per side, column weight 3, row weight 8. CPM exponent arrays (rows = CPM block-rows, columns = the 8 block-columns): E_X = [[0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 11, 5, 2, 12, 6, 3], [0, 2, 7, 9, 1, 5, 4, 8]], E_Z = [[0, 4, 12, 3, 3, 12, 4, 0], [0, 1, 3, 4, 1, 4, 0, 3], [0, 5, 6, 11, 0, 5, 6, 11]]. Lift convention per the authors' expand_and_verify_cpm_matrices.py (github.com/kasaikenta/pair-partition-cpm-css-codes @ 9c2a6f2): check a of block-row b on side S has support {8*((a - E_S[b][t]) mod 13) + t : t=0..7}. Source file https://kasai.ict.eng.isct.ac.jp/pair_partition_cpm_css_codes_data/contributed_codes/jong_yeon_lee/codes/PPS104_n104_k30_d8.cpm (sha256 f40ebdb9f2a12e39ccecd49c5b7e537ef0b989cbb19a8cab8e4782b31a640753), expanded with the authors' own script.",
  "date": "2026",
  "references": [
   "arXiv:2607.14091"
  ],
  "novelty": "known_parameters",
  "notes": "Literature baseline, seeded 2026-08-14. Listed as PPS104 [[104,30,8]] in the contributed-codes section (Jong Yeon Lee, 19 CPM-PP codes) of the Okada-Kasai pair-partition CPM catalogue (arXiv:2607.14091; catalogue page updated 2026-08-13), which reports the distance as exact. No public machine-verified distance certificate bundle covers this instance (checked master_manifest.json of certificate_bundles_20260805), so it is recorded here strictly as a witness-backed upper bound from this repo's own 200000-trial RIS search per side (seed 11). Reproduction was validated end to end: the published .cpm file expanded with the authors' own script gives a CSS-orthogonal regular pair with the claimed k."
 },
 "family": "pair-partition-cpm"
}