{
 "schema_version": "0.2",
 "name": "[[48,8,6]]",
 "code_type": "CSS",
 "n": 48,
 "k": 8,
 "checks": {
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   [
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   [
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   [
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  ]
 },
 "distance": {
  "d": 6,
  "X": {
   "value": 6,
   "confidence": "upper_bound",
   "witness": [
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    5,
    29,
    38,
    40,
    47
   ],
   "witness_provenance": {
    "found_by": [
     "@mathys"
    ],
    "date": "2026-10-23",
    "found_at_samples": 400,
    "survived_samples": 400,
    "tool": "research/kit/surrogate.lightest_logical",
    "seeds": [
     0
    ]
   }
  },
  "Z": {
   "value": 6,
   "confidence": "upper_bound",
   "witness": [
    1,
    10,
    12,
    25,
    38,
    39
   ],
   "witness_provenance": {
    "found_by": [
     "@mathys"
    ],
    "date": "2026-10-23",
    "found_at_samples": 400,
    "survived_samples": 400,
    "tool": "research/kit/surrogate.lightest_logical",
    "seeds": [
     1
    ]
   }
  }
 },
 "provenance": {
  "authors": [
   "@MathysRennela"
  ],
  "construction": "Coset code Q_G^H(ahat,bhat) of arXiv:2606.17268; G=SmallGroup(384,512), H the 53rd non-normal subgroup, ahat=[1,34,48], bhat=[1,6,12]",
  "origin": "submission",
  "date": "2026-10-23",
  "model": "Beam 1.0",
  "references": [
   "arXiv:2606.17268"
  ],
  "novelty": "known_parameters"
 },
 "family": "2bga-coset",
 "circuit": {
  "d_circ": {
   "X": {
    "value": 6,
    "confidence": "upper_bound",
    "witness": [
     6201,
     6207,
     7303,
     7364,
     7399,
     7596
    ]
   },
   "Z": {
    "value": 6,
    "confidence": "upper_bound",
    "witness": [
     13433,
     13437,
     13534,
     15909,
     15912,
     16162
    ]
   }
  },
  "rounds": 6,
  "stim_version": "1.16.0",
  "notes": "Johnson-coil flagged interleaved two-block extraction (max_flags=3 per check, 7 data CX slots per round, X-check term slots [5, 6, 1, 2, 3, 4], Z-check term slots [1, 0, 5, 3, 2, 4] over terms A_0..A_2, B_0..B_2); verified against stim 1.16.0; RIS DEM search found nothing lighter than the claimed d_circ (generator: seed 0xC18C, 12 s per basis; independent re-check: seeds 0x5EED01 and 0x5EED02 at 1.5x the gate's trial budget, 180 s cap per basis)",
  "contributed_by": {
   "by": [
    "@FarLab"
   ],
   "date": "2026-11-03",
   "method": "Johnson-coil flagged interleaved two-block extraction (max_flags=3 per check, 7 data CX slots per round, X-check term slots [5, 6, 1, 2, 3, 4], Z-check term slots [1, 0, 5, 3, 2, 4] over terms A_0..A_2, B_0..B_2)"
  }
 }
}