{
 "schema_version": "0.2",
 "name": "priced-calculus-15-3-3",
 "code_type": "CSS",
 "n": 15,
 "k": 3,
 "checks": {
  "X": [
   [
    0,
    3,
    11,
    14
   ],
   [
    1,
    2,
    12,
    13
   ],
   [
    0,
    1,
    4,
    5
   ],
   [
    2,
    3,
    6,
    7
   ],
   [
    4,
    7,
    8,
    10
   ],
   [
    8,
    9,
    11,
    12
   ]
  ],
  "Z": [
   [
    0,
    1,
    11,
    12
   ],
   [
    2,
    3,
    13,
    14
   ],
   [
    0,
    3,
    4,
    7
   ],
   [
    1,
    2,
    5,
    6
   ],
   [
    4,
    5,
    8,
    9
   ],
   [
    8,
    10,
    11,
    14
   ]
  ]
 },
 "distance": {
  "d": 3,
  "X": {
   "value": 3,
   "confidence": "upper_bound",
   "witness": [
    2,
    6,
    13
   ],
   "witness_provenance": {
    "found_by": [
     "@mathys"
    ],
    "date": "2026-10-31",
    "found_at_samples": 1000,
    "survived_samples": 1000,
    "tool": "research/kit/surrogate.lightest_logical",
    "seeds": [
     0
    ]
   }
  },
  "Z": {
   "value": 3,
   "confidence": "upper_bound",
   "witness": [
    3,
    6,
    14
   ],
   "witness_provenance": {
    "found_by": [
     "@mathys"
    ],
    "date": "2026-10-31",
    "found_at_samples": 1000,
    "survived_samples": 1000,
    "tool": "research/kit/surrogate.lightest_logical",
    "seeds": [
     1
    ]
   }
  }
 },
 "provenance": {
  "authors": [
   "@mathysrennela"
  ],
  "construction": "priced calculus E-PUNCTURE transform of codes/16-2-4.json",
  "references": [],
  "date": "2026-10-31",
  "notes": "",
  "model": "Beam 1.0"
 },
 "locality": {
  "coordinates": [
   [
    0.0,
    0.0
   ],
   [
    0.0,
    2.0
   ],
   [
    0.0,
    3.0
   ],
   [
    0.0,
    1.0
   ],
   [
    2.0,
    0.0
   ],
   [
    2.0,
    2.0
   ],
   [
    2.0,
    3.0
   ],
   [
    2.0,
    1.0
   ],
   [
    3.0,
    0.0
   ],
   [
    3.0,
    2.0
   ],
   [
    3.0,
    1.0
   ],
   [
    1.0,
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   ],
   [
    1.0,
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   ],
   [
    1.0,
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   ],
   [
    1.0,
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   ]
  ],
  "layers": 1,
  "contributed_by": {
   "by": [
    "@vprusso"
   ],
   "date": "2026-11-04",
   "method": "Inherited from the laid-out parent codes/16-2-4.json: the parent's coordinates with the entry of the removed qubit (parent index 10) dropped, since this puncture child keeps the parent's qubit order. Radius, layer count, and class re-measured by the verifier."
  }
 },
 "circuit": {
  "d_circ": {
   "Z": {
    "value": 3,
    "confidence": "upper_bound",
    "witness": [
     990,
     991,
     1407
    ]
   },
   "X": {
    "value": 3,
    "confidence": "upper_bound",
    "witness": [
     17,
     36,
     37
    ]
   }
  },
  "rounds": 3,
  "stim_version": "1.16.0",
  "notes": "Johnson-coil + 4 span flags sequential extraction (max_flags=2 per check, 5 X + 5 Z edge-colored data CX layers per round, coloring candidate 0); 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)",
  "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"
  }
 }
}