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 "distance": {
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 "provenance": {
  "authors": [
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  "construction": "bivariate bicycle on Z_7 x Z_9: A = x^0y^0 + x^0y^4, B = x^0y^0 + x^4y^2 + x^4y^1 + x^0y^2",
  "origin": "submission",
  "date": "2026-10-17",
  "model": "Claude Fable 5.1",
  "search_budget": {
   "candidates_screened": 151921,
   "ris_trials_per_side": 4000000,
   "cpu_hours": 13.3,
   "tool": "research/kit/search.py + gf2_fast on Brev n2d-highcpu-64"
  }
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 "family": "bivariate-bicycle",
 "circuit": {
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    "confidence": "upper_bound",
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  "rounds": 7,
  "stim_version": "1.16.0",
  "notes": "Interleaved two-block extraction (Bravyi et al. arXiv:2308.07915 Table 5 style): joint reset and measurement layers, 7 CX layers per round; X-check term slots [3, 6, 1, 2, 5, 4], Z-check term slots [3, 0, 5, 4, 1, 2] over terms A_0..A_1, B_0..B_3; terms recovered from H alone by a commuting permutation decomposition; generated by qldpc submit (research/circuit_autogen.py, seed 0), the first of up to 6 candidates whose RIS screen at 2 rounds found nothing below d; witnesses from RIS on ker(H_dem) at twice the gate's trial budget, validated in GF(2)"
 }
}