{
 "schema_version": "0.3",
 "name": "[[95,22,7]] E-PEEL of 96-22-8",
 "code_type": "CSS",
 "n": 95,
 "k": 22,
 "checks": {
  "X": [
   [
    0,
    16,
    31,
    44,
    47,
    63,
    71,
    75
   ],
   [
    1,
    13,
    23,
    45,
    48,
    70,
    78,
    82
   ],
   [
    2,
    20,
    27,
    46,
    49,
    60,
    74,
    85
   ],
   [
    3,
    6,
    23,
    30,
    49,
    50,
    51,
    77
   ],
   [
    0,
    4,
    20,
    42,
    47,
    51,
    76,
    85
   ],
   [
    6,
    24,
    34,
    41,
    53,
    67,
    81,
    89
   ],
   [
    0,
    7,
    27,
    37,
    53,
    54,
    55,
    84
   ],
   [
    1,
    8,
    24,
    28,
    48,
    55,
    83,
    89
   ],
   [
    8,
    9,
    29,
    38,
    55,
    56,
    90,
    92
   ],
   [
    1,
    10,
    34,
    40,
    47,
    57,
    58,
    87
   ],
   [
    2,
    11,
    31,
    35,
    49,
    58,
    75,
    86
   ],
   [
    11,
    12,
    36,
    42,
    58,
    59,
    76,
    93
   ],
   [
    13,
    17,
    37,
    41,
    57,
    60,
    61,
    88
   ],
   [
    1,
    3,
    14,
    18,
    50,
    52,
    58,
    61
   ],
   [
    8,
    14,
    15,
    19,
    59,
    61,
    62,
    63
   ],
   [
    5,
    16,
    36,
    46,
    52,
    60,
    63,
    93
   ],
   [
    2,
    16,
    17,
    43,
    48,
    64,
    65,
    91
   ],
   [
    6,
    13,
    18,
    38,
    53,
    65,
    82,
    90
   ],
   [
    18,
    19,
    28,
    39,
    65,
    66,
    83,
    94
   ],
   [
    3,
    20,
    40,
    44,
    64,
    67,
    68,
    92
   ],
   [
    2,
    4,
    7,
    21,
    54,
    56,
    65,
    68
   ],
   [
    5,
    11,
    21,
    22,
    66,
    68,
    69,
    70
   ],
   [
    9,
    23,
    39,
    41,
    56,
    67,
    70,
    94
   ],
   [
    7,
    24,
    43,
    45,
    50,
    71,
    72,
    93
   ],
   [
    6,
    8,
    10,
    25,
    51,
    57,
    59,
    72
   ],
   [
    9,
    18,
    25,
    26,
    52,
    72,
    73,
    74
   ],
   [
    7,
    13,
    28,
    32,
    60,
    62,
    72,
    75
   ],
   [
    21,
    28,
    29,
    33,
    73,
    75,
    76,
    77
   ],
   [
    9,
    15,
    30,
    34,
    47,
    62,
    74,
    77
   ],
   [
    10,
    30,
    31,
    46,
    54,
    78,
    79,
    94
   ],
   [
    0,
    11,
    17,
    32,
    55,
    64,
    66,
    79
   ],
   [
    4,
    12,
    32,
    33,
    56,
    79,
    80,
    81
   ],
   [
    10,
    14,
    20,
    35,
    67,
    69,
    79,
    82
   ],
   [
    15,
    25,
    35,
    36,
    80,
    82,
    83,
    84
   ],
   [
    17,
    21,
    24,
    38,
    61,
    71,
    73,
    85
   ],
   [
    22,
    32,
    38,
    39,
    62,
    85,
    86,
    87
   ]
  ],
  "Z": [
   [
    0,
    4,
    10,
    30,
    47,
    51,
    54,
    79
   ],
   [
    1,
    8,
    17,
    37,
    48,
    55,
    57,
    61
   ],
   [
    2,
    3,
    11,
    40,
    49,
    58,
    64,
    68
   ],
   [
    3,
    14,
    24,
    41,
    50,
    61,
    67,
    89
   ],
   [
    3,
    4,
    5,
    25,
    51,
    52,
    68,
    80
   ],
   [
    5,
    14,
    16,
    26,
    52,
    63,
    69,
    91
   ],
   [
    6,
    7,
    18,
    43,
    50,
    53,
    65,
    72
   ],
   [
    7,
    21,
    31,
    44,
    54,
    68,
    71,
    75
   ],
   [
    7,
    8,
    9,
    32,
    55,
    56,
    62,
    72
   ],
   [
    9,
    21,
    23,
    33,
    56,
    70,
    73,
    77
   ],
   [
    10,
    13,
    25,
    45,
    57,
    72,
    78,
    82
   ],
   [
    10,
    11,
    12,
    14,
    58,
    59,
    69,
    79
   ],
   [
    12,
    15,
    25,
    27,
    59,
    74,
    80,
    84
   ],
   [
    2,
    13,
    16,
    28,
    48,
    60,
    65,
    75
   ],
   [
    13,
    14,
    15,
    38,
    61,
    62,
    82,
    90
   ],
   [
    15,
    28,
    30,
    39,
    62,
    77,
    83,
    94
   ],
   [
    0,
    15,
    16,
    40,
    47,
    63,
    64,
    84
   ],
   [
    17,
    20,
    32,
    46,
    60,
    64,
    79,
    85
   ],
   [
    17,
    18,
    19,
    21,
    61,
    65,
    66,
    73
   ],
   [
    19,
    22,
    32,
    34,
    62,
    66,
    81,
    87
   ],
   [
    6,
    20,
    23,
    35,
    49,
    51,
    67,
    82
   ],
   [
    20,
    21,
    22,
    42,
    68,
    69,
    76,
    85
   ],
   [
    22,
    35,
    37,
    69,
    84,
    86,
    88
   ],
   [
    1,
    22,
    23,
    43,
    48,
    50,
    70,
    87
   ],
   [
    0,
    24,
    27,
    38,
    53,
    55,
    71,
    85
   ],
   [
    24,
    25,
    26,
    28,
    72,
    73,
    83,
    89
   ],
   [
    26,
    29,
    38,
    40,
    73,
    87,
    90,
    92
   ],
   [
    0,
    11,
    28,
    29,
    55,
    66,
    75,
    76
   ],
   [
    4,
    12,
    29,
    41,
    56,
    76,
    81,
    88
   ],
   [
    3,
    29,
    30,
    45,
    50,
    77,
    78,
    92
   ],
   [
    1,
    31,
    34,
    42,
    47,
    58,
    78,
    89
   ],
   [
    31,
    32,
    33,
    35,
    75,
    79,
    80,
    86
   ],
   [
    33,
    36,
    42,
    43,
    76,
    80,
    91,
    93
   ],
   [
    1,
    18,
    35,
    36,
    52,
    58,
    82,
    83
   ],
   [
    8,
    19,
    36,
    44,
    59,
    63,
    83,
    92
   ],
   [
    2,
    4,
    38,
    39,
    56,
    65,
    85,
    86
   ],
   [
    5,
    11,
    39,
    45,
    66,
    70,
    86,
    93
   ]
  ]
 },
 "distance": {
  "d": 7,
  "X": {
   "value": 8,
   "confidence": "upper_bound",
   "witness": [
    20,
    36,
    42,
    46,
    49,
    58,
    59,
    74
   ],
   "witness_provenance": {
    "found_by": [
     "@vprusso"
    ],
    "date": "2026-11-03",
    "found_at_samples": 2000,
    "survived_samples": 2000,
    "tool": "research/kit/surrogate.lightest_logical",
    "seeds": [
     1
    ]
   }
  },
  "Z": {
   "value": 7,
   "confidence": "upper_bound",
   "witness": [
    3,
    17,
    24,
    50,
    64,
    88,
    89
   ],
   "witness_provenance": {
    "found_by": [
     "@vprusso"
    ],
    "date": "2026-11-03",
    "found_at_samples": 2000,
    "survived_samples": 2000,
    "tool": "research/kit/surrogate.lightest_logical",
    "seeds": [
     2
    ]
   }
  }
 },
 "provenance": {
  "authors": [
   "@vprusso"
  ],
  "construction": "Priced construction calculus E-PEEL of codes/96-22-8.json ([[96,22,8]], max check weight 8; a two-block group-algebra code over SmallGroup(48,24) from arXiv:2610.13880): delete qubit 43 (0-based index in the parent file) together with its unique X check a6, and relabel the surviving qubits in increasing order of their parent indices. Consumer: github.com/unitaryfoundation/code-calculus @ 1b9a942, machine/priced_calculus.py.",
  "references": [
   "arXiv:2610.13880"
  ],
  "date": "2026-11-04",
  "notes": "Single-step priced-calculus E-PEEL child of board entry 96-22-8. 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
  }
 },
 "family": "2bga-nonabelian",
 "locality": {
  "coordinates": [
   [
    0.0,
    1.0
   ],
   [
    4.0,
    2.0
   ],
   [
    1.0,
    0.0
   ],
   [
    3.0,
    5.0
   ],
   [
    3.0,
    5.0
   ],
   [
    2.0,
    6.0
   ],
   [
    6.0,
    3.0
   ],
   [
    1.0,
    1.0
   ],
   [
    3.0,
    0.0
   ],
   [
    4.0,
    4.0
   ],
   [
    5.0,
    4.0
   ],
   [
    2.0,
    6.0
   ],
   [
    5.0,
    5.0
   ],
   [
    5.0,
    2.0
   ],
   [
    6.0,
    4.0
   ],
   [
    2.0,
    1.0
   ],
   [
    2.0,
    5.0
   ],
   [
    3.0,
    0.0
   ],
   [
    2.0,
    0.0
   ],
   [
    3.0,
    1.0
   ],
   [
    1.0,
    4.0
   ],
   [
    4.0,
    4.0
   ],
   [
    6.0,
    6.0
   ],
   [
    6.0,
    4.0
   ],
   [
    5.0,
    1.0
   ],
   [
    1.0,
    2.0
   ],
   [
    2.0,
    1.0
   ],
   [
    2.0,
    4.0
   ],
   [
    0.0,
    0.0
   ],
   [
    6.0,
    2.0
   ],
   [
    1.0,
    1.0
   ],
   [
    0.0,
    3.0
   ],
   [
    2.0,
    2.0
   ],
   [
    1.0,
    3.0
   ],
   [
    4.0,
    6.0
   ],
   [
    1.0,
    6.0
   ],
   [
    0.0,
    5.0
   ],
   [
    3.0,
    3.0
   ],
   [
    6.0,
    0.0
   ],
   [
    5.0,
    2.0
   ],
   [
    3.0,
    2.0
   ],
   [
    6.0,
    5.0
   ],
   [
    1.0,
    6.0
   ],
   [
    4.0,
    5.0
   ],
   [
    0.0,
    5.0
   ],
   [
    6.0,
    3.0
   ],
   [
    0.0,
    2.0
   ],
   [
    3.0,
    2.0
   ],
   [
    5.0,
    1.0
   ],
   [
    4.0,
    1.0
   ],
   [
    6.0,
    1.0
   ],
   [
    4.0,
    5.0
   ],
   [
    3.0,
    4.0
   ],
   [
    3.0,
    4.0
   ],
   [
    0.0,
    2.0
   ],
   [
    2.0,
    0.0
   ],
   [
    5.0,
    3.0
   ],
   [
    6.0,
    2.0
   ],
   [
    1.0,
    3.0
   ],
   [
    5.0,
    3.0
   ],
   [
    4.0,
    3.0
   ],
   [
    6.0,
    0.0
   ],
   [
    5.0,
    0.0
   ],
   [
    2.0,
    3.0
   ],
   [
    0.0,
    4.0
   ],
   [
    1.0,
    0.0
   ],
   [
    4.0,
    3.0
   ],
   [
    4.0,
    6.0
   ],
   [
    1.0,
    5.0
   ],
   [
    5.0,
    6.0
   ],
   [
    6.0,
    5.0
   ],
   [
    1.0,
    2.0
   ],
   [
    4.0,
    0.0
   ],
   [
    4.0,
    0.0
   ],
   [
    0.0,
    3.0
   ],
   [
    0.0,
    1.0
   ],
   [
    2.0,
    5.0
   ],
   [
    5.0,
    0.0
   ],
   [
    2.0,
    4.0
   ],
   [
    3.0,
    6.0
   ],
   [
    0.0,
    6.0
   ],
   [
    5.0,
    6.0
   ],
   [
    2.0,
    3.0
   ],
   [
    0.0,
    0.0
   ],
   [
    1.0,
    5.0
   ],
   [
    3.0,
    1.0
   ],
   [
    5.0,
    4.0
   ],
   [
    6.0,
    1.0
   ],
   [
    5.0,
    5.0
   ],
   [
    3.0,
    3.0
   ],
   [
    4.0,
    1.0
   ],
   [
    0.0,
    4.0
   ],
   [
    2.0,
    2.0
   ],
   [
    1.0,
    4.0
   ],
   [
    4.0,
    2.0
   ]
  ],
  "interaction_radius": 6.324555320336759,
  "layers": 2
 }
}