{
 "schema_version": "0.2",
 "name": "priced-calculus-15-7-3",
 "code_type": "CSS",
 "n": 15,
 "k": 7,
 "checks": {
  "X": [
   [
    0,
    1,
    3,
    5,
    7,
    9,
    11,
    13
   ],
   [
    1,
    2,
    5,
    6,
    9,
    10,
    13,
    14
   ],
   [
    3,
    4,
    5,
    6,
    11,
    12,
    13,
    14
   ],
   [
    7,
    8,
    9,
    10,
    11,
    12,
    13,
    14
   ]
  ],
  "Z": [
   [
    0,
    1,
    3,
    5,
    7,
    9,
    11,
    13
   ],
   [
    1,
    2,
    5,
    6,
    9,
    10,
    13,
    14
   ],
   [
    3,
    4,
    5,
    6,
    11,
    12,
    13,
    14
   ],
   [
    7,
    8,
    9,
    10,
    11,
    12,
    13,
    14
   ]
  ]
 },
 "distance": {
  "d": 3,
  "X": {
   "value": 3,
   "confidence": "upper_bound",
   "witness": [
    1,
    3,
    6
   ],
   "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": [
    1,
    3,
    6
   ],
   "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/16-6-4.json",
  "references": [],
  "date": "2026-10-31",
  "notes": "",
  "model": "Beam 1.0"
 },
 "locality": {
  "coordinates": [
   [
    1.526186417870993,
    1.875053809410772
   ],
   [
    1.6987073819076643,
    0.890047861729303
   ],
   [
    1.0301873695280366,
    -0.9401755089901863
   ],
   [
    1.5762404938979484,
    -0.1024248388228215
   ],
   [
    -0.7074250817467929,
    -1.821844133165135
   ],
   [
    -0.16133328892713275,
    0.8429663838916743
   ],
   [
    0.26340767797545434,
    -1.5820860203720597
   ],
   [
    -0.3228671677909354,
    1.83047398201544
   ],
   [
    -1.7019146340563,
    -0.09925350716605838
   ],
   [
    0.7594067263184114,
    1.2331432980288985
   ],
   [
    -1.1598732135144645,
    0.8969869263281995
   ],
   [
    0.09088671393878306,
    -0.5970800726905909
   ],
   [
    -1.114177524472045,
    -0.9083056006789288
   ],
   [
    0.6369398383086948,
    0.24067059747677375
   ],
   [
    -0.7073864132970443,
    0.005215713724309461
   ]
  ],
  "layers": 1,
  "contributed_by": {
   "by": [
    "@vprusso"
   ],
   "date": "2026-11-04",
   "method": "Inherited from the laid-out parent codes/16-6-4.json: the parent's coordinates with the entry of the removed qubit (parent index 1) 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": [
     51,
     176,
     265
    ]
   },
   "X": {
    "value": 3,
    "confidence": "upper_bound",
    "witness": [
     2056,
     2072,
     2114
    ]
   }
  },
  "rounds": 3,
  "stim_version": "1.16.0",
  "notes": "Johnson-coil + 4 span flags sequential extraction (max_flags=4 per check, 8 X + 8 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"
  }
 }
}
