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   ],
   [
    214,
    215,
    333,
    342,
    440,
    444
   ],
   [
    215,
    216,
    334,
    343,
    441,
    445
   ],
   [
    216,
    217,
    335,
    344,
    442,
    446
   ],
   [
    217,
    218,
    330,
    336,
    443,
    447
   ],
   [
    218,
    219,
    331,
    337,
    444,
    448
   ],
   [
    219,
    220,
    332,
    338,
    445,
    449
   ],
   [
    220,
    221,
    333,
    339,
    435,
    446
   ],
   [
    221,
    222,
    334,
    340,
    436,
    447
   ],
   [
    222,
    223,
    335,
    341,
    437,
    448
   ],
   [
    223,
    224,
    336,
    342,
    438,
    449
   ]
  ]
 },
 "distance": {
  "d": 9,
  "X": {
   "value": 9,
   "confidence": "exact",
   "witness": [
    49,
    54,
    59,
    151,
    156,
    161,
    274,
    279,
    284
   ]
  },
  "Z": {
   "value": 9,
   "confidence": "exact",
   "witness": [
    120,
    125,
    129,
    242,
    243,
    253,
    345,
    350,
    359
   ]
  }
 },
 "family": "bivariate-bicycle",
 "provenance": {
  "authors": [
   "@cbjuan"
  ],
  "construction": "Periodic bivariate-bicycle code on the group algebra Z_15 x Z_15 (n = 2*l*m = 450). Convention: x = S_15 tensor I_15, y = I_15 tensor S_15 (cyclic shifts), qubit index = i*m + j; A = 1 + x^0y^11 + x^7y^2 + x^7y^8, B = 1 + x^0y^1; H_X = [A|B], H_Z = [B^T|A^T]. Found by an automated evolutionary/mutation search over (l, m, A, B) exponent sets targeting the unrestricted x weight-6 (or weight-8) board cells, screened by a randomized lightest-logical surrogate and promoted through increasing trial budgets.",
  "origin": "submission",
  "date": "2026-09-16",
  "notes": "Internal autoresearch candidate id 45062 (canonical key fed49d1320b628e835492729), search lane 'high-distance-transfer', proposal kernel 'exact-geometry-grid'. Initial NumPy lightest-logical surrogate: trials=8000, seed=300946522. Confirmed with an accelerated bit-packed random-information-set search at rung '1m' (1000000 trials, seed=389415985, pair_depth=16), tightest witness on side X at weight 9. Distance also taken through an internal exact-certification pipeline (MILP, one solve per logical-basis row per side, the same method as this repository's own verify/certify.py). Result: side_status X=exact, Z=exact (solver wall time 24273.1s, CPU time 23993.8s, summed over all per-row MILP solves on both sides). Per CONTRIBUTING.md's confidence-tier policy, this 'exact' claim is self-declared and will display as an upper bound on the board until a maintainer independently re-runs verify/certify.py and confirms it."
 }
}