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 "distance": {
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 "provenance": {
  "authors": [
   "@FarLab"
  ],
  "construction": "2BGA coset code on D9xC7 (order 126) / H=[0, 35]: a = [0, 3, 98, 104], b in N_G(H) = [0, 2, 4, 39]",
  "origin": "submission",
  "date": "2026-10-17",
  "model": "Claude Fable 5.1",
  "search_budget": {
   "candidates_screened": 71129,
   "ris_trials_per_side": 4000000,
   "cpu_hours": 14.9,
   "tool": "research/kit/search.py + gf2_fast on Brev n2d-highcpu-64"
  }
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 "family": "2bga-coset",
 "circuit": {
  "d_circ": {
   "Z": {
    "value": 4,
    "confidence": "upper_bound",
    "witness": [
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   },
   "X": {
    "value": 4,
    "confidence": "upper_bound",
    "witness": [
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  },
  "rounds": 6,
  "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 [6, 4, 3, 2, 5, 1], Z-check term slots [0, 3, 4, 2, 1, 5] over terms A_0..A_3, B_0..B_1; 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)"
 }
}