{
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 "name": "[[184,50,10]] pair-partition CPM CSS code (weight-8)",
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   "confidence": "upper_bound",
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 "provenance": {
  "authors": [
   "Lee, Jong Yeon"
  ],
  "origin": "baseline",
  "construction": "Cyclic all-one pair-partition CPM CSS construction (arXiv:2607.14091), contributed instance PPS184 (internal id j3l8_p23_00156) from the Okada-Kasai catalogue's contributed-codes section: lift size p=23, (J,L)=(3,8), n=8p=184, 3p=69 checks per side, column weight 3, row weight 8, Tanner girth 6. CPM exponent arrays (rows = the three CPM block-rows per side, columns = the 8 block-columns): E_X = [[0,0,0,0,0,0,0,0],[0,12,8,21,6,1,19,15],[0,9,18,11,7,17,10,4]], E_Z = [[0,15,7,22,7,0,22,15],[0,1,2,4,0,1,2,4],[0,5,17,6,6,17,5,0]]. 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 23) + 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/PPS184_n184_k50_d10.cpm, expanded with the authors' own script.",
  "date": "2026",
  "references": [
   "arXiv:2607.14091"
  ],
  "novelty": "known_parameters",
  "notes": "Literature baseline, seeded 2026-08-14. Listed as PPS184 [[184,50,10]] 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. Unlike the catalogue's primary instances, no public machine-verified distance certificate bundle covers this code (checked master_manifest.json of certificate_bundles_20260805), so it is recorded here strictly as a witness-backed upper bound: d<=10 on both sides from this repo's own 150k-trial RIS search (seed 7). Reproduction was validated end to end: the published .cpm file expanded with the authors' own script gives a CSS-orthogonal (3,8)-regular pair with GF(2) ranks 67/67 (k=50). Best weight-8 kd^2/n (27.17) below n=472 on the board, and the highest k of any weight-8 entry below n=472."
 },
 "family": "pair-partition-cpm"
}