{
 "schema_version": "0.3",
 "name": "[[48,16,3]]",
 "code_type": "CSS",
 "n": 48,
 "k": 16,
 "checks": {
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 "distance": {
  "d": 3,
  "X": {
   "value": 3,
   "confidence": "upper_bound",
   "witness": [
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   ]
  },
  "Z": {
   "value": 3,
   "confidence": "upper_bound",
   "witness": [
    15,
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   ]
  }
 },
 "provenance": {
  "authors": [
   "@FarLab"
  ],
  "construction": "2BGA coset code (kit coset.build_coset) on group prod(c44xc2sw,(3,)) (|G|=96) with non-normal subgroup H = [0, 24, 48, 72], a = [0, 2, 75, 76] (subset of G), b = [0, 2] (subset of N_G(H)); element indices of the Cayley table (identity = 0; convention in the note)",
  "origin": "submission",
  "date": "2026-10-17",
  "model": "Claude Fable 5.1",
  "search_budget": {
   "candidates_screened": 1120600,
   "ris_trials_per_side": 60000000,
   "cpu_hours": 3,
   "tool": "research/kit 2BGA sweep + gf2_fast on Brev n2d-highcpu-64"
  }
 },
 "family": "2bga-coset",
 "circuit": {
  "d_circ": {
   "Z": {
    "value": 3,
    "confidence": "upper_bound",
    "witness": [
     1761,
     1762,
     4581
    ]
   },
   "X": {
    "value": 3,
    "confidence": "upper_bound",
    "witness": [
     15,
     64,
     147
    ]
   }
  },
  "rounds": 3,
  "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 [4, 5, 2, 1, 6, 3], Z-check term slots [2, 1, 5, 4, 0, 3] 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)"
 }
}