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 "distance": {
  "d": 10,
  "X": {
   "value": 10,
   "confidence": "upper_bound",
   "witness": [
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  "Z": {
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   "confidence": "upper_bound",
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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_12 x Z_6 with weight-4 generators A = 1 + x^11 + y^5 + x^9 y^5, B = x^3 y^2 + x^8 y^2 + x^4 y^3 + x^9 y^3 (weight-8 checks). Reproduction of Table 1 entry 1 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 1, where d=10 is established exactly by exhaustive bit-mask verification cross-validated against Magma (their Remark 4.4). Check matrices rebuilt independently with this repo's kit; the witnesses here were found fresh by this repo's RIS surrogate (upper bound d<=10). Reproduced by @MathysRennela."
 },
 "family": "bivariate-bicycle"
}