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   [
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    330,
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   [
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    338,
    342,
    344,
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   [
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    213,
    346,
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    352,
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   [
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    215,
    217,
    221,
    354,
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    364
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   [
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    225,
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    362,
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   [
    227,
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    370,
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   [
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    384,
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   [
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    386,
    390,
    392,
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   ],
   [
    251,
    255,
    257,
    261,
    394,
    398,
    400,
    404
   ],
   [
    259,
    263,
    265,
    269,
    402,
    406,
    408,
    412
   ],
   [
    267,
    271,
    273,
    277,
    410,
    414,
    416,
    420
   ],
   [
    275,
    279,
    281,
    285,
    418,
    422,
    424,
    428
   ],
   [
    283,
    287,
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    293,
    426,
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    436
   ],
   [
    291,
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    301,
    434,
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    440,
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   ],
   [
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    442,
    446,
    448,
    452
   ],
   [
    307,
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    317,
    450,
    454,
    456,
    460
   ],
   [
    315,
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    321,
    325,
    458,
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   ],
   [
    323,
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    333,
    466,
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    476
   ],
   [
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    337,
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    474,
    478,
    480,
    484
   ]
  ]
 },
 "distance": {
  "d": 16,
  "X": {
   "value": 16,
   "confidence": "upper_bound",
   "witness": [
    2,
    85,
    130,
    134,
    218,
    223,
    301,
    353,
    358,
    364,
    372,
    441,
    443,
    444,
    445,
    453
   ]
  },
  "Z": {
   "value": 16,
   "confidence": "upper_bound",
   "witness": [
    18,
    19,
    32,
    38,
    43,
    45,
    56,
    63,
    80,
    87,
    123,
    127,
    210,
    215,
    274,
    275
   ]
  }
 },
 "provenance": {
  "authors": [
   "Lee, Jong Yeon"
  ],
  "origin": "baseline",
  "construction": "Cyclic all-one pair-partition CPM CSS construction (arXiv:2607.14091), contributed girth-8 instance PP61 (internal id qc_488_126_16_a): lift size p=61, (J,L)=(3,8), n=8*61=488, 3*61=183 checks per side, column weight 3, row weight 8, both Tanner graphs girth 8. CPM exponent arrays (rows = CPM block-rows, columns = the 8 block-columns): E_X = [[0, 0, 0, 0, 0, 0, 0, 0], [0, 28, 40, 8, 10, 7, 1, 58], [0, 44, 34, 50, 33, 18, 32, 45]], E_Z = [[0, 21, 10, 32, 10, 0, 32, 21], [0, 33, 2, 7, 33, 7, 0, 2], [0, 18, 1, 19, 0, 18, 1, 19]]. 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 61) + t : t=0..7}. Source https://kasai.ict.eng.isct.ac.jp/pair_partition_cpm_css_codes_data/contributed_codes/jong_yeon_lee/codes/PP61_n488_k126_d16.cpm (sha256 b02e4addcca758bdf462bdcd1da19c94d2c7890f96d45149596a750bb3064d3c), expanded with the authors' own script.",
  "date": "2026",
  "references": [
   "arXiv:2607.14091"
  ],
  "novelty": "known_parameters",
  "notes": "Literature baseline, seeded 2026-08-14. Listed as PP61 [[488,126,16]] (girth-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 certificate covers this girth-8 instance (the qc_488_126_14 bundle certifies the different girth-6 [[488,126,14]] catalogue instance already on the board), so it is recorded here strictly as a witness-backed upper bound from this repo's own chunked RIS search (up to 800k trials per side, early exit at the reported distance). Reproduction was validated end to end: the published .cpm expanded with the authors' own script gives a CSS-orthogonal (3,8)-regular pair with GF(2) ranks giving k=126. This entry strictly dominates the existing [[488,126,14]] weight-8 baseline (same n and k, higher distance). Discovery method of the contributed instance is undisclosed by the contributor; model provenance unknown."
 },
 "family": "pair-partition-cpm"
}
