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 "distance": {
  "d": 15,
  "X": {
   "value": 15,
   "confidence": "upper_bound",
   "witness": [
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  "Z": {
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   "confidence": "upper_bound",
   "witness": [
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 "provenance": {
  "authors": [
   "Liangdong Lu",
   "Ruipan Yang",
   "Guanmin Guo"
  ],
  "origin": "baseline",
  "novelty": "known_parameters",
  "construction": "Bivariate bicycle code QC(A,B) on Z_8 x Z_9 with weight-4 generators A = 1 + x^4 y^2 + y^4 + y^7, B = 1 + x^2 y^6 + x^5 y^7 + x^7 y^8 (weight-8 checks). Reproduction of Table 1 entry 9 of arXiv:2609.06572 (Lu, Yang, Guo).",
  "date": "2026-09-06",
  "references": [
   "arXiv:2609.06572"
  ],
  "notes": "Seeded from the published census of arXiv:2609.06572, Table 1 entry 9, where d>=15 is certified by exhaustive bit-mask verification (their Sections 4.2-4.3, cross-validated against Magma). Check matrices rebuilt independently with this repo's kit; the witness here was found fresh by this repo's RIS surrogate (upper bound d<=15), which together with the paper's certified lower bound pins the true distance at 15 pending server certification. Reproduced by @MathysRennela."
 },
 "family": "bivariate-bicycle"
}