{
 "schema_version": "0.1",
 "name": "[[27,11,3]]",
 "code_type": "CSS",
 "n": 27,
 "k": 11,
 "checks": {
  "X": [
   [
    0,
    3,
    14,
    20,
    22,
    23
   ],
   [
    6,
    8,
    13,
    19,
    20,
    21
   ],
   [
    1,
    4,
    10,
    12,
    14,
    15
   ],
   [
    1,
    5,
    13,
    16,
    18,
    25
   ],
   [
    11,
    15,
    16,
    21,
    22,
    24
   ],
   [
    2,
    4,
    8,
    9,
    17,
    24
   ],
   [
    5,
    6,
    7,
    9,
    10,
    23
   ],
   [
    0,
    2,
    7,
    11,
    25,
    26
   ]
  ],
  "Z": [
   [
    4,
    13,
    15,
    16,
    17,
    19
   ],
   [
    1,
    2,
    5,
    7,
    15,
    24
   ],
   [
    6,
    8,
    12,
    14,
    17,
    23
   ],
   [
    0,
    3,
    4,
    11,
    12,
    24
   ],
   [
    1,
    10,
    16,
    20,
    21,
    23
   ],
   [
    2,
    6,
    9,
    11,
    20,
    22
   ],
   [
    0,
    13,
    18,
    21,
    22,
    26
   ],
   [
    7,
    8,
    9,
    18,
    19,
    25
   ]
  ]
 },
 "distance": {
  "d": 3,
  "X": {
   "value": 3,
   "confidence": "upper_bound",
   "witness": [
    8,
    17,
    19
   ]
  },
  "Z": {
   "value": 3,
   "confidence": "upper_bound",
   "witness": [
    14,
    15,
    22
   ]
  }
 },
 "provenance": {
  "authors": [
   "@mathysrennela"
  ],
  "construction": "Reconstructed from qecdb.org record 67a4adf72916ddddf1688e1d (https://qecdb.org/codes/67a4adf72916ddddf1688e1d); the record's H field is read as binary symplectic rows and split by rowspace (rank(A|B) = rank(A) + rank(B)), keeping the lightest independent basis of each part; n, k and the check weight recomputed here, witnesses from the kit's random search at the trials below. Database description: hyperbolic_2d; database distance claim d=3 (lower 3, upper 3).",
  "origin": "submission",
  "date": "2026-09-27",
  "model": "Mimo-V2.6-Free",
  "notes": "Equivalence assessed against the board: no exact stabilizer-group fingerprint match and no Weisfeiler-Leman signature match to any existing entry."
 },
 "family": "topological"
}