{
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 "name": "[[62,21,6]] C-DELETE-CHECK of 62-20-6",
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 "distance": {
  "d": 6,
  "X": {
   "value": 6,
   "confidence": "upper_bound",
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   "witness_provenance": {
    "found_by": [
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    "date": "2026-11-03",
    "found_at_samples": 2000,
    "survived_samples": 2000,
    "tool": "research/kit/surrogate.lightest_logical",
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   "confidence": "upper_bound",
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    "date": "2026-11-03",
    "found_at_samples": 2000,
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    "tool": "research/kit/surrogate.lightest_logical",
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 "provenance": {
  "authors": [
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  "construction": "Priced construction calculus C-DELETE-CHECK of codes/62-20-6.json ([[62,20,6]], max check weight 16; itself Mathys Rennela's priced-calculus E-PEEL of codes/64-20-8.json, the depth-one universal code grown from the [[24,8,4]] seed in arXiv:2610.06730): delete X check a1 (rows numbered in file order after dropping dependent rows, as machine/priced_calculus.py labels them) and keep every qubit at its parent index. Consumer: github.com/unitaryfoundation/code-calculus @ 1b9a942, machine/priced_calculus.py.",
  "references": [
   "arXiv:2610.06730"
  ],
  "date": "2026-11-04",
  "notes": "Single-step priced-calculus C-DELETE-CHECK child of board entry 62-20-6. verify/validate_candidate.py found no board entry sharing this code's fingerprint or Weisfeiler-Leman signature, local-Hadamard images included.",
  "model": "Claude Fable 5.1",
  "origin": "submission",
  "search_budget": {
   "ris_trials_per_side": 10000000
  }
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 "circuit": {
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    "value": 4,
    "confidence": "upper_bound",
    "witness": [
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   },
   "X": {
    "value": 5,
    "confidence": "upper_bound",
    "witness": [
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     4455,
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    ]
   }
  },
  "rounds": 6,
  "stim_version": "1.16.0",
  "notes": "Johnson-coil + 4 span flags sequential extraction (max_flags=8 per check, 17 X + 18 Z edge-colored data CX layers per round, coloring candidate 0); generated by qldpc submit (research/circuit_autogen.py, seed 1), 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)",
  "contributed_by": {
   "by": [
    "@vprusso"
   ],
   "date": "2026-11-06",
   "method": "circuit_autogen schedule search (two-block interleaved, then layout, then generic), verified by verify/circuit_verify.py before writing"
  }
 }
}