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    155,
    162,
    172
   ],
   [
    29,
    60,
    66,
    82,
    122,
    143,
    163,
    173
   ],
   [
    30,
    61,
    67,
    83,
    123,
    144,
    164,
    174
   ],
   [
    31,
    62,
    68,
    84,
    124,
    145,
    165,
    175
   ],
   [
    32,
    63,
    69,
    85,
    125,
    146,
    166,
    176
   ],
   [
    33,
    64,
    70,
    86,
    126,
    147,
    167,
    177
   ],
   [
    34,
    52,
    71,
    87,
    127,
    148,
    168,
    178
   ],
   [
    35,
    53,
    72,
    88,
    128,
    149,
    156,
    179
   ],
   [
    36,
    54,
    73,
    89,
    129,
    150,
    157,
    180
   ],
   [
    37,
    55,
    74,
    90,
    117,
    151,
    158,
    181
   ]
  ]
 },
 "distance": {
  "d": 9,
  "X": {
   "value": 9,
   "confidence": "upper_bound",
   "witness": [
    3,
    18,
    19,
    22,
    56,
    78,
    125,
    132,
    166
   ]
  },
  "Z": {
   "value": 9,
   "confidence": "upper_bound",
   "witness": [
    12,
    18,
    29,
    49,
    59,
    69,
    95,
    111,
    133
   ]
  }
 },
 "provenance": {
  "authors": [
   "@FarLab"
  ],
  "construction": "bivariate bicycle on Z_7 x Z_13: A = x^0y^0 + x^4y^12 + x^1y^10 + x^2y^4, B = x^0y^0 + x^4y^1 + x^2y^9 + x^1y^3",
  "origin": "submission",
  "date": "2026-10-17",
  "model": "Claude Fable 5.1",
  "search_budget": {
   "candidates_screened": 20444,
   "ris_trials_per_side": 4000000,
   "cpu_hours": 7.0,
   "tool": "research/kit/search.py + gf2_fast on Brev n2d-highcpu-64"
  }
 },
 "family": "bivariate-bicycle",
 "circuit": {
  "d_circ": {
   "Z": {
    "value": 9,
    "confidence": "upper_bound",
    "witness": [
     90197,
     90199,
     90209,
     90210,
     90309,
     90310,
     90313,
     90325,
     90356
    ]
   },
   "X": {
    "value": 9,
    "confidence": "upper_bound",
    "witness": [
     89948,
     89958,
     90088,
     90096,
     90191,
     90202,
     90272,
     90277,
     90288
    ]
   }
  },
  "rounds": 9,
  "stim_version": "1.16.0",
  "notes": "Generic sequential two-block extraction: one ancilla per check, X checks then Z checks each round with joint reset and measurement layers; CX layers are a proper edge coloring of each Tanner graph (10 X + 10 Z 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)"
 }
}