{
 "schema_version": "0.1",
 "name": "[[232,62,12]] pair-partition CPM CSS code (weight-8)",
 "code_type": "CSS",
 "n": 232,
 "k": 62,
 "checks": {
  "X": [
   [
    25,
    43,
    61,
    96,
    143,
    172,
    175,
    215
   ],
   [
    26,
    44,
    62,
    97,
    144,
    173,
    176,
    216
   ],
   [
    27,
    45,
    63,
    98,
    116,
    145,
    177,
    217
   ],
   [
    28,
    46,
    64,
    99,
    117,
    146,
    178,
    218
   ],
   [
    0,
    47,
    65,
    100,
    118,
    147,
    179,
    219
   ],
   [
    1,
    48,
    66,
    101,
    119,
    148,
    180,
    220
   ],
   [
    2,
    49,
    67,
    102,
    120,
    149,
    181,
    221
   ],
   [
    3,
    50,
    68,
    103,
    121,
    150,
    182,
    222
   ],
   [
    4,
    51,
    69,
    104,
    122,
    151,
    183,
    223
   ],
   [
    5,
    52,
    70,
    105,
    123,
    152,
    184,
    224
   ],
   [
    6,
    53,
    71,
    106,
    124,
    153,
    185,
    225
   ],
   [
    7,
    54,
    72,
    107,
    125,
    154,
    186,
    226
   ],
   [
    8,
    55,
    73,
    108,
    126,
    155,
    187,
    227
   ],
   [
    9,
    56,
    74,
    109,
    127,
    156,
    188,
    228
   ],
   [
    10,
    57,
    75,
    110,
    128,
    157,
    189,
    229
   ],
   [
    11,
    29,
    76,
    111,
    129,
    158,
    190,
    230
   ],
   [
    12,
    30,
    77,
    112,
    130,
    159,
    191,
    231
   ],
   [
    13,
    31,
    78,
    113,
    131,
    160,
    192,
    203
   ],
   [
    14,
    32,
    79,
    114,
    132,
    161,
    193,
    204
   ],
   [
    15,
    33,
    80,
    115,
    133,
    162,
    194,
    205
   ],
   [
    16,
    34,
    81,
    87,
    134,
    163,
    195,
    206
   ],
   [
    17,
    35,
    82,
    88,
    135,
    164,
    196,
    207
   ],
   [
    18,
    36,
    83,
    89,
    136,
    165,
    197,
    208
   ],
   [
    19,
    37,
    84,
    90,
    137,
    166,
    198,
    209
   ],
   [
    20,
    38,
    85,
    91,
    138,
    167,
    199,
    210
   ],
   [
    21,
    39,
    86,
    92,
    139,
    168,
    200,
    211
   ],
   [
    22,
    40,
    58,
    93,
    140,
    169,
    201,
    212
   ],
   [
    23,
    41,
    59,
    94,
    141,
    170,
    202,
    213
   ],
   [
    24,
    42,
    60,
    95,
    142,
    171,
    174,
    214
   ],
   [
    15,
    53,
    75,
    109,
    118,
    160,
    174,
    221
   ],
   [
    16,
    54,
    76,
    110,
    119,
    161,
    175,
    222
   ],
   [
    17,
    55,
    77,
    111,
    120,
    162,
    176,
    223
   ],
   [
    18,
    56,
    78,
    112,
    121,
    163,
    177,
    224
   ],
   [
    19,
    57,
    79,
    113,
    122,
    164,
    178,
    225
   ],
   [
    20,
    29,
    80,
    114,
    123,
    165,
    179,
    226
   ],
   [
    21,
    30,
    81,
    115,
    124,
    166,
    180,
    227
   ],
   [
    22,
    31,
    82,
    87,
    125,
    167,
    181,
    228
   ],
   [
    23,
    32,
    83,
    88,
    126,
    168,
    182,
    229
   ],
   [
    24,
    33,
    84,
    89,
    127,
    169,
    183,
    230
   ],
   [
    25,
    34,
    85,
    90,
    128,
    170,
    184,
    231
   ],
   [
    26,
    35,
    86,
    91,
    129,
    171,
    185,
    203
   ],
   [
    27,
    36,
    58,
    92,
    130,
    172,
    186,
    204
   ],
   [
    28,
    37,
    59,
    93,
    131,
    173,
    187,
    205
   ],
   [
    0,
    38,
    60,
    94,
    132,
    145,
    188,
    206
   ],
   [
    1,
    39,
    61,
    95,
    133,
    146,
    189,
    207
   ],
   [
    2,
    40,
    62,
    96,
    134,
    147,
    190,
    208
   ],
   [
    3,
    41,
    63,
    97,
    135,
    148,
    191,
    209
   ],
   [
    4,
    42,
    64,
    98,
    136,
    149,
    192,
    210
   ],
   [
    5,
    43,
    65,
    99,
    137,
    150,
    193,
    211
   ],
   [
    6,
    44,
    66,
    100,
    138,
    151,
    194,
    212
   ],
   [
    7,
    45,
    67,
    101,
    139,
    152,
    195,
    213
   ],
   [
    8,
    46,
    68,
    102,
    140,
    153,
    196,
    214
   ],
   [
    9,
    47,
    69,
    103,
    141,
    154,
    197,
    215
   ],
   [
    10,
    48,
    70,
    104,
    142,
    155,
    198,
    216
   ],
   [
    11,
    49,
    71,
    105,
    143,
    156,
    199,
    217
   ],
   [
    12,
    50,
    72,
    106,
    144,
    157,
    200,
    218
   ],
   [
    13,
    51,
    73,
    107,
    116,
    158,
    201,
    219
   ],
   [
    14,
    52,
    74,
    108,
    117,
    159,
    202,
    220
   ],
   [
    6,
    34,
    62,
    114,
    131,
    156,
    183,
    211
   ],
   [
    7,
    35,
    63,
    115,
    132,
    157,
    184,
    212
   ],
   [
    8,
    36,
    64,
    87,
    133,
    158,
    185,
    213
   ],
   [
    9,
    37,
    65,
    88,
    134,
    159,
    186,
    214
   ],
   [
    10,
    38,
    66,
    89,
    135,
    160,
    187,
    215
   ],
   [
    11,
    39,
    67,
    90,
    136,
    161,
    188,
    216
   ],
   [
    12,
    40,
    68,
    91,
    137,
    162,
    189,
    217
   ],
   [
    13,
    41,
    69,
    92,
    138,
    163,
    190,
    218
   ],
   [
    14,
    42,
    70,
    93,
    139,
    164,
    191,
    219
   ],
   [
    15,
    43,
    71,
    94,
    140,
    165,
    192,
    220
   ],
   [
    16,
    44,
    72,
    95,
    141,
    166,
    193,
    221
   ],
   [
    17,
    45,
    73,
    96,
    142,
    167,
    194,
    222
   ],
   [
    18,
    46,
    74,
    97,
    143,
    168,
    195,
    223
   ],
   [
    19,
    47,
    75,
    98,
    144,
    169,
    196,
    224
   ],
   [
    20,
    48,
    76,
    99,
    116,
    170,
    197,
    225
   ],
   [
    21,
    49,
    77,
    100,
    117,
    171,
    198,
    226
   ],
   [
    22,
    50,
    78,
    101,
    118,
    172,
    199,
    227
   ],
   [
    23,
    51,
    79,
    102,
    119,
    173,
    200,
    228
   ],
   [
    24,
    52,
    80,
    103,
    120,
    145,
    201,
    229
   ],
   [
    25,
    53,
    81,
    104,
    121,
    146,
    202,
    230
   ],
   [
    26,
    54,
    82,
    105,
    122,
    147,
    174,
    231
   ],
   [
    27,
    55,
    83,
    106,
    123,
    148,
    175,
    203
   ],
   [
    28,
    56,
    84,
    107,
    124,
    149,
    176,
    204
   ],
   [
    0,
    57,
    85,
    108,
    125,
    150,
    177,
    205
   ],
   [
    1,
    29,
    86,
    109,
    126,
    151,
    178,
    206
   ],
   [
    2,
    30,
    58,
    110,
    127,
    152,
    179,
    207
   ],
   [
    3,
    31,
    59,
    111,
    128,
    153,
    180,
    208
   ],
   [
    4,
    32,
    60,
    112,
    129,
    154,
    181,
    209
   ],
   [
    5,
    33,
    61,
    113,
    130,
    155,
    182,
    210
   ]
  ],
  "Z": [
   [
    0,
    34,
    85,
    109,
    118,
    156,
    199,
    206
   ],
   [
    1,
    35,
    86,
    110,
    119,
    157,
    200,
    207
   ],
   [
    2,
    36,
    58,
    111,
    120,
    158,
    201,
    208
   ],
   [
    3,
    37,
    59,
    112,
    121,
    159,
    202,
    209
   ],
   [
    4,
    38,
    60,
    113,
    122,
    160,
    174,
    210
   ],
   [
    5,
    39,
    61,
    114,
    123,
    161,
    175,
    211
   ],
   [
    6,
    40,
    62,
    115,
    124,
    162,
    176,
    212
   ],
   [
    7,
    41,
    63,
    87,
    125,
    163,
    177,
    213
   ],
   [
    8,
    42,
    64,
    88,
    126,
    164,
    178,
    214
   ],
   [
    9,
    43,
    65,
    89,
    127,
    165,
    179,
    215
   ],
   [
    10,
    44,
    66,
    90,
    128,
    166,
    180,
    216
   ],
   [
    11,
    45,
    67,
    91,
    129,
    167,
    181,
    217
   ],
   [
    12,
    46,
    68,
    92,
    130,
    168,
    182,
    218
   ],
   [
    13,
    47,
    69,
    93,
    131,
    169,
    183,
    219
   ],
   [
    14,
    48,
    70,
    94,
    132,
    170,
    184,
    220
   ],
   [
    15,
    49,
    71,
    95,
    133,
    171,
    185,
    221
   ],
   [
    16,
    50,
    72,
    96,
    134,
    172,
    186,
    222
   ],
   [
    17,
    51,
    73,
    97,
    135,
    173,
    187,
    223
   ],
   [
    18,
    52,
    74,
    98,
    136,
    145,
    188,
    224
   ],
   [
    19,
    53,
    75,
    99,
    137,
    146,
    189,
    225
   ],
   [
    20,
    54,
    76,
    100,
    138,
    147,
    190,
    226
   ],
   [
    21,
    55,
    77,
    101,
    139,
    148,
    191,
    227
   ],
   [
    22,
    56,
    78,
    102,
    140,
    149,
    192,
    228
   ],
   [
    23,
    57,
    79,
    103,
    141,
    150,
    193,
    229
   ],
   [
    24,
    29,
    80,
    104,
    142,
    151,
    194,
    230
   ],
   [
    25,
    30,
    81,
    105,
    143,
    152,
    195,
    231
   ],
   [
    26,
    31,
    82,
    106,
    144,
    153,
    196,
    203
   ],
   [
    27,
    32,
    83,
    107,
    116,
    154,
    197,
    204
   ],
   [
    28,
    33,
    84,
    108,
    117,
    155,
    198,
    205
   ],
   [
    5,
    42,
    70,
    91,
    137,
    171,
    198,
    210
   ],
   [
    6,
    43,
    71,
    92,
    138,
    172,
    199,
    211
   ],
   [
    7,
    44,
    72,
    93,
    139,
    173,
    200,
    212
   ],
   [
    8,
    45,
    73,
    94,
    140,
    145,
    201,
    213
   ],
   [
    9,
    46,
    74,
    95,
    141,
    146,
    202,
    214
   ],
   [
    10,
    47,
    75,
    96,
    142,
    147,
    174,
    215
   ],
   [
    11,
    48,
    76,
    97,
    143,
    148,
    175,
    216
   ],
   [
    12,
    49,
    77,
    98,
    144,
    149,
    176,
    217
   ],
   [
    13,
    50,
    78,
    99,
    116,
    150,
    177,
    218
   ],
   [
    14,
    51,
    79,
    100,
    117,
    151,
    178,
    219
   ],
   [
    15,
    52,
    80,
    101,
    118,
    152,
    179,
    220
   ],
   [
    16,
    53,
    81,
    102,
    119,
    153,
    180,
    221
   ],
   [
    17,
    54,
    82,
    103,
    120,
    154,
    181,
    222
   ],
   [
    18,
    55,
    83,
    104,
    121,
    155,
    182,
    223
   ],
   [
    19,
    56,
    84,
    105,
    122,
    156,
    183,
    224
   ],
   [
    20,
    57,
    85,
    106,
    123,
    157,
    184,
    225
   ],
   [
    21,
    29,
    86,
    107,
    124,
    158,
    185,
    226
   ],
   [
    22,
    30,
    58,
    108,
    125,
    159,
    186,
    227
   ],
   [
    23,
    31,
    59,
    109,
    126,
    160,
    187,
    228
   ],
   [
    24,
    32,
    60,
    110,
    127,
    161,
    188,
    229
   ],
   [
    25,
    33,
    61,
    111,
    128,
    162,
    189,
    230
   ],
   [
    26,
    34,
    62,
    112,
    129,
    163,
    190,
    231
   ],
   [
    27,
    35,
    63,
    113,
    130,
    164,
    191,
    203
   ],
   [
    28,
    36,
    64,
    114,
    131,
    165,
    192,
    204
   ],
   [
    0,
    37,
    65,
    115,
    132,
    166,
    193,
    205
   ],
   [
    1,
    38,
    66,
    87,
    133,
    167,
    194,
    206
   ],
   [
    2,
    39,
    67,
    88,
    134,
    168,
    195,
    207
   ],
   [
    3,
    40,
    68,
    89,
    135,
    169,
    196,
    208
   ],
   [
    4,
    41,
    69,
    90,
    136,
    170,
    197,
    209
   ],
   [
    12,
    54,
    72,
    90,
    137,
    161,
    193,
    231
   ],
   [
    13,
    55,
    73,
    91,
    138,
    162,
    194,
    203
   ],
   [
    14,
    56,
    74,
    92,
    139,
    163,
    195,
    204
   ],
   [
    15,
    57,
    75,
    93,
    140,
    164,
    196,
    205
   ],
   [
    16,
    29,
    76,
    94,
    141,
    165,
    197,
    206
   ],
   [
    17,
    30,
    77,
    95,
    142,
    166,
    198,
    207
   ],
   [
    18,
    31,
    78,
    96,
    143,
    167,
    199,
    208
   ],
   [
    19,
    32,
    79,
    97,
    144,
    168,
    200,
    209
   ],
   [
    20,
    33,
    80,
    98,
    116,
    169,
    201,
    210
   ],
   [
    21,
    34,
    81,
    99,
    117,
    170,
    202,
    211
   ],
   [
    22,
    35,
    82,
    100,
    118,
    171,
    174,
    212
   ],
   [
    23,
    36,
    83,
    101,
    119,
    172,
    175,
    213
   ],
   [
    24,
    37,
    84,
    102,
    120,
    173,
    176,
    214
   ],
   [
    25,
    38,
    85,
    103,
    121,
    145,
    177,
    215
   ],
   [
    26,
    39,
    86,
    104,
    122,
    146,
    178,
    216
   ],
   [
    27,
    40,
    58,
    105,
    123,
    147,
    179,
    217
   ],
   [
    28,
    41,
    59,
    106,
    124,
    148,
    180,
    218
   ],
   [
    0,
    42,
    60,
    107,
    125,
    149,
    181,
    219
   ],
   [
    1,
    43,
    61,
    108,
    126,
    150,
    182,
    220
   ],
   [
    2,
    44,
    62,
    109,
    127,
    151,
    183,
    221
   ],
   [
    3,
    45,
    63,
    110,
    128,
    152,
    184,
    222
   ],
   [
    4,
    46,
    64,
    111,
    129,
    153,
    185,
    223
   ],
   [
    5,
    47,
    65,
    112,
    130,
    154,
    186,
    224
   ],
   [
    6,
    48,
    66,
    113,
    131,
    155,
    187,
    225
   ],
   [
    7,
    49,
    67,
    114,
    132,
    156,
    188,
    226
   ],
   [
    8,
    50,
    68,
    115,
    133,
    157,
    189,
    227
   ],
   [
    9,
    51,
    69,
    87,
    134,
    158,
    190,
    228
   ],
   [
    10,
    52,
    70,
    88,
    135,
    159,
    191,
    229
   ],
   [
    11,
    53,
    71,
    89,
    136,
    160,
    192,
    230
   ]
  ]
 },
 "distance": {
  "d": 12,
  "X": {
   "value": 12,
   "confidence": "exact",
   "witness": [
    29,
    34,
    94,
    109,
    117,
    132,
    140,
    151,
    190,
    205,
    226,
    228
   ]
  },
  "Z": {
   "value": 12,
   "confidence": "exact",
   "witness": [
    0,
    3,
    50,
    60,
    63,
    112,
    118,
    128,
    157,
    174,
    177,
    231
   ]
  }
 },
 "provenance": {
  "authors": [
   "Maskara, Nishad"
  ],
  "origin": "baseline",
  "construction": "Cyclic pair-partition CPM CSS construction (arXiv:2607.14091), Nishad Maskara's contributed instance pp_232_62_12_cw8_P29: lift size P=29, (J,L)=(3,8), n=8*29=232, 87 checks per side, column weight 3, row weight 8, Tanner girth 6/6. Circulant-exponent arrays (J x L, one per side): E_x = [[4, 15, 26, 20, 2, 2, 28, 17], [14, 5, 12, 7, 27, 14, 0, 11], [23, 24, 25, 2, 14, 18, 20, 21]], E_z = [[0, 24, 2, 7, 27, 18, 4, 26], [24, 16, 17, 25, 8, 3, 5, 22], [17, 4, 15, 26, 8, 13, 10, 1]]. Reconstruction per the archive's own description: for block (i,j), Hx[i*29 + r, j*29 + ((r - E_x[i][j]) mod 29)] = 1 for r=0..28; Hz likewise from E_z. H_X and H_Z here are taken verbatim from the authors' archive https://kasai.ict.eng.isct.ac.jp/pair_partition_cpm_css_codes_data/contributed_codes/nishad_maskara/pp_232_62_12_cw8_P29.npz (sha256 260d1e15c179bd136560e557a6786bb240a4cfa8a5477347859b4b99c966dd6a), which is byte-identical to the certificate bundle's fixed input.",
  "date": "2026",
  "references": [
   "arXiv:2607.14091"
  ],
  "novelty": "known_parameters",
  "notes": "Literature baseline, seeded 2026-08-14. Listed as a Nishad Maskara contribution in the Okada-Kasai pair-partition CPM catalogue (arXiv:2607.14091; catalogue page updated 2026-08-13); the catalogue also lists an independent same-parameter instance PPS232 by Jong Yeon Lee with different circulant exponents, which is NOT this code and is not certified by the bundle below. The authors publish a machine-verified exact-distance certificate bundle for this instance (https://kasai.ict.eng.isct.ac.jp/pair_partition_cpm_css_codes_data/certificate_bundles_20260805/qc_232_62_12/certificate_bundle.tar.gz, status exact_distance_machine_verified in master_manifest.json), whose fixed input is byte-identical to the public npz: complete lower-bound coverage through weight 10 on both sides plus explicit weight-12 logicals, which are the witnesses here, re-verified in this repo (kernel membership, row-space non-membership). Marked exact on the strength of that public certificate; per board policy the entry still displays as an upper bound until this repo's own certification. Reproduction was validated end to end: the archive's H_X/H_Z match its documented exponent reconstruction exactly, are CSS-orthogonal, (3,8)-regular, with GF(2) ranks giving k=62. Discovery method of the contributed instance is undisclosed by the contributor; model provenance unknown."
 },
 "family": "pair-partition-cpm"
}
