{
 "schema_version": "0.2",
 "name": "priced-calculus-70-24-5",
 "code_type": "CSS",
 "n": 70,
 "k": 24,
 "checks": {
  "X": [
   [
    1,
    2,
    11,
    22,
    25,
    30,
    36,
    37,
    51,
    62,
    64,
    69
   ],
   [
    2,
    3,
    12,
    23,
    26,
    31,
    35,
    37,
    38,
    52,
    63,
    65
   ],
   [
    3,
    4,
    13,
    24,
    27,
    32,
    36,
    38,
    39,
    53,
    64,
    66
   ],
   [
    4,
    5,
    14,
    25,
    28,
    33,
    37,
    39,
    40,
    54,
    65,
    67
   ],
   [
    5,
    6,
    15,
    26,
    29,
    34,
    38,
    40,
    41,
    55,
    66,
    68
   ],
   [
    0,
    6,
    7,
    16,
    27,
    30,
    39,
    41,
    42,
    56,
    67,
    69
   ],
   [
    1,
    7,
    8,
    17,
    28,
    31,
    35,
    40,
    42,
    43,
    57,
    68
   ],
   [
    2,
    8,
    9,
    18,
    29,
    32,
    36,
    41,
    43,
    44,
    58,
    69
   ],
   [
    3,
    9,
    10,
    19,
    30,
    33,
    35,
    37,
    42,
    44,
    45,
    59
   ],
   [
    4,
    10,
    11,
    20,
    31,
    34,
    36,
    38,
    43,
    45,
    46,
    60
   ],
   [
    0,
    5,
    11,
    12,
    21,
    32,
    37,
    39,
    44,
    46,
    47,
    61
   ],
   [
    1,
    6,
    12,
    13,
    22,
    33,
    38,
    40,
    45,
    47,
    48,
    62
   ],
   [
    2,
    7,
    13,
    14,
    23,
    34,
    39,
    41,
    46,
    48,
    49,
    63
   ],
   [
    0,
    3,
    8,
    14,
    15,
    24,
    40,
    42,
    47,
    49,
    50,
    64
   ],
   [
    1,
    4,
    9,
    15,
    16,
    25,
    41,
    43,
    48,
    50,
    51,
    65
   ],
   [
    2,
    5,
    10,
    16,
    17,
    26,
    42,
    44,
    49,
    51,
    52,
    66
   ],
   [
    3,
    6,
    11,
    17,
    18,
    27,
    43,
    45,
    50,
    52,
    53,
    67
   ],
   [
    4,
    7,
    12,
    18,
    19,
    28,
    44,
    46,
    51,
    53,
    54,
    68
   ],
   [
    5,
    8,
    13,
    19,
    20,
    29,
    45,
    47,
    52,
    54,
    55,
    69
   ],
   [
    6,
    9,
    14,
    20,
    21,
    30,
    35,
    46,
    48,
    53,
    55,
    56
   ],
   [
    7,
    10,
    15,
    21,
    22,
    31,
    36,
    47,
    49,
    54,
    56,
    57
   ],
   [
    8,
    11,
    16,
    22,
    23,
    32,
    37,
    48,
    50,
    55,
    57,
    58
   ]
  ],
  "Z": [
   [
    0,
    1,
    3,
    8,
    10,
    21,
    35,
    36,
    42,
    47,
    50,
    61
   ],
   [
    1,
    2,
    4,
    9,
    11,
    22,
    36,
    37,
    43,
    48,
    51,
    62
   ],
   [
    2,
    3,
    5,
    10,
    12,
    23,
    37,
    38,
    44,
    49,
    52,
    63
   ],
   [
    3,
    4,
    6,
    11,
    13,
    24,
    38,
    39,
    45,
    50,
    53,
    64
   ],
   [
    4,
    5,
    7,
    12,
    14,
    25,
    39,
    40,
    46,
    51,
    54,
    65
   ],
   [
    5,
    6,
    8,
    13,
    15,
    26,
    40,
    41,
    47,
    52,
    55,
    66
   ],
   [
    6,
    7,
    9,
    14,
    16,
    27,
    41,
    42,
    48,
    53,
    56,
    67
   ],
   [
    7,
    8,
    10,
    15,
    17,
    28,
    42,
    43,
    49,
    54,
    57,
    68
   ],
   [
    8,
    9,
    11,
    16,
    18,
    29,
    43,
    44,
    50,
    55,
    58,
    69
   ],
   [
    9,
    10,
    12,
    17,
    19,
    30,
    35,
    44,
    45,
    51,
    56,
    59
   ],
   [
    10,
    11,
    13,
    18,
    20,
    31,
    36,
    45,
    46,
    52,
    57,
    60
   ],
   [
    11,
    12,
    14,
    19,
    21,
    32,
    37,
    46,
    47,
    53,
    58,
    61
   ],
   [
    12,
    13,
    15,
    20,
    22,
    33,
    38,
    47,
    48,
    54,
    59,
    62
   ],
   [
    13,
    14,
    16,
    21,
    23,
    34,
    39,
    48,
    49,
    55,
    60,
    63
   ],
   [
    0,
    14,
    15,
    17,
    22,
    24,
    40,
    49,
    50,
    56,
    61,
    64
   ],
   [
    1,
    15,
    16,
    18,
    23,
    25,
    41,
    50,
    51,
    57,
    62,
    65
   ],
   [
    2,
    16,
    17,
    19,
    24,
    26,
    42,
    51,
    52,
    58,
    63,
    66
   ],
   [
    3,
    17,
    18,
    20,
    25,
    27,
    43,
    52,
    53,
    59,
    64,
    67
   ],
   [
    4,
    18,
    19,
    21,
    26,
    28,
    44,
    53,
    54,
    60,
    65,
    68
   ],
   [
    5,
    19,
    20,
    22,
    27,
    29,
    45,
    54,
    55,
    61,
    66,
    69
   ],
   [
    6,
    20,
    21,
    23,
    28,
    30,
    35,
    46,
    55,
    56,
    62,
    67
   ],
   [
    7,
    21,
    22,
    24,
    29,
    31,
    36,
    47,
    56,
    57,
    63,
    68
   ],
   [
    8,
    22,
    23,
    25,
    30,
    32,
    37,
    48,
    57,
    58,
    64,
    69
   ],
   [
    9,
    23,
    24,
    26,
    31,
    33,
    35,
    38,
    49,
    58,
    59,
    65
   ]
  ]
 },
 "distance": {
  "d": 5,
  "X": {
   "value": 5,
   "confidence": "upper_bound",
   "witness": [
    6,
    13,
    20,
    27,
    34
   ],
   "witness_provenance": {
    "found_by": [
     "@mathys"
    ],
    "date": "2026-11-01",
    "found_at_samples": 1000,
    "survived_samples": 1000,
    "tool": "research/kit/surrogate.lightest_logical",
    "seeds": [
     0
    ]
   }
  },
  "Z": {
   "value": 5,
   "confidence": "upper_bound",
   "witness": [
    0,
    14,
    23,
    30,
    37
   ],
   "witness_provenance": {
    "found_by": [
     "@mathys"
    ],
    "date": "2026-11-01",
    "found_at_samples": 1000,
    "survived_samples": 1000,
    "tool": "research/kit/surrogate.lightest_logical",
    "seeds": [
     1
    ]
   }
  }
 },
 "provenance": {
  "authors": [
   "@mathysrennela"
  ],
  "construction": "priced calculus C-DELETE-CHECK transform of codes/70-22-5.json",
  "references": [],
  "date": "2026-11-01",
  "notes": "",
  "model": "Beam 1.0"
 },
 "circuit": {
  "d_circ": {
   "Z": {
    "value": 5,
    "confidence": "upper_bound",
    "witness": [
     33226,
     33227,
     33246,
     33259,
     33264
    ]
   },
   "X": {
    "value": 5,
    "confidence": "upper_bound",
    "witness": [
     32833,
     32837,
     33373,
     33402,
     33404
    ]
   }
  },
  "rounds": 5,
  "stim_version": "1.16.0",
  "notes": "Johnson-coil + 4 span flags sequential extraction (max_flags=6 per check, 13 X + 13 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"
  }
 }
}
