{
 "schema_version": "0.2",
 "name": "[[32,12,2]] 2BGA",
 "code_type": "CSS",
 "n": 32,
 "k": 12,
 "checks": {
  "X": [
   [
    0,
    2,
    16,
    18,
    23,
    31
   ],
   [
    1,
    11,
    16,
    17,
    21,
    24
   ],
   [
    0,
    2,
    16,
    18,
    23,
    31
   ],
   [
    3,
    8,
    19,
    24,
    28,
    29
   ],
   [
    4,
    9,
    17,
    20,
    25,
    27
   ],
   [
    5,
    6,
    16,
    17,
    21,
    24
   ],
   [
    5,
    6,
    18,
    19,
    22,
    27
   ],
   [
    7,
    15,
    20,
    23,
    28,
    30
   ],
   [
    3,
    8,
    19,
    24,
    28,
    29
   ],
   [
    4,
    9,
    17,
    20,
    25,
    27
   ],
   [
    10,
    14,
    21,
    22,
    26,
    30
   ],
   [
    1,
    11,
    18,
    19,
    22,
    27
   ],
   [
    12,
    13,
    20,
    23,
    28,
    30
   ],
   [
    12,
    13,
    25,
    26,
    29,
    31
   ],
   [
    10,
    14,
    21,
    22,
    26,
    30
   ],
   [
    7,
    15,
    25,
    26,
    29,
    31
   ]
  ],
  "Z": [
   [
    0,
    1,
    2,
    5,
    16,
    18
   ],
   [
    1,
    4,
    5,
    9,
    17,
    27
   ],
   [
    0,
    2,
    6,
    11,
    16,
    18
   ],
   [
    3,
    6,
    8,
    11,
    19,
    24
   ],
   [
    4,
    7,
    9,
    12,
    20,
    25
   ],
   [
    1,
    5,
    10,
    14,
    21,
    22
   ],
   [
    6,
    10,
    11,
    14,
    21,
    22
   ],
   [
    0,
    2,
    7,
    12,
    23,
    31
   ],
   [
    1,
    3,
    5,
    8,
    19,
    24
   ],
   [
    4,
    9,
    13,
    15,
    20,
    25
   ],
   [
    10,
    13,
    14,
    15,
    26,
    30
   ],
   [
    4,
    6,
    9,
    11,
    17,
    27
   ],
   [
    3,
    7,
    8,
    12,
    28,
    29
   ],
   [
    3,
    8,
    13,
    15,
    28,
    29
   ],
   [
    7,
    10,
    12,
    14,
    26,
    30
   ],
   [
    0,
    2,
    13,
    15,
    23,
    31
   ]
  ]
 },
 "distance": {
  "d": 2,
  "X": {
   "value": 2,
   "confidence": "upper_bound",
   "witness": [
    21,
    22
   ]
  },
  "Z": {
   "value": 2,
   "confidence": "upper_bound",
   "witness": [
    1,
    11
   ]
  }
 },
 "provenance": {
  "authors": [
   "@MathysRennela"
  ],
  "construction": "2BGA (arXiv:2306.16400) on SmallGroup(16,3), from github.com/QEC-pages/2BGA-codes @ 403d194c3f98f0cadc236aecbc4a8b6139ccf23c, nonabelian.zip, diswtnonabelian_wt6wtL2_order16_k12.txt, line 1. nonidentity supports a=[3], b=[2, 3, 6].",
  "references": [],
  "date": "2026-09-19",
  "notes": "Literature reproduction of a published 2BGA code (arXiv:2306.16400; github.com/QEC-pages/2BGA-codes @ 403d194c3f98f0cadc236aecbc4a8b6139ccf23c). Checked against the live board: not equivalent to any existing entry.",
  "model": "DeepSeek V4 Flash 0731",
  "origin": "submission"
 },
 "family": "generalized-bicycle",
 "locality": {
  "coordinates": [
   [
    2.0,
    1.0
   ],
   [
    1.0,
    1.0
   ],
   [
    1.0,
    2.0
   ],
   [
    1.0,
    2.0
   ],
   [
    3.0,
    0.0
   ],
   [
    2.0,
    2.0
   ],
   [
    0.0,
    0.0
   ],
   [
    3.0,
    3.0
   ],
   [
    2.0,
    1.0
   ],
   [
    3.0,
    0.0
   ],
   [
    0.0,
    3.0
   ],
   [
    0.0,
    0.0
   ],
   [
    3.0,
    3.0
   ],
   [
    1.0,
    1.0
   ],
   [
    0.0,
    3.0
   ],
   [
    2.0,
    2.0
   ],
   [
    0.0,
    2.0
   ],
   [
    2.0,
    0.0
   ],
   [
    0.0,
    1.0
   ],
   [
    1.0,
    0.0
   ],
   [
    3.0,
    2.0
   ],
   [
    0.0,
    2.0
   ],
   [
    0.0,
    1.0
   ],
   [
    1.0,
    3.0
   ],
   [
    1.0,
    0.0
   ],
   [
    3.0,
    2.0
   ],
   [
    2.0,
    3.0
   ],
   [
    2.0,
    0.0
   ],
   [
    3.0,
    1.0
   ],
   [
    3.0,
    1.0
   ],
   [
    2.0,
    3.0
   ],
   [
    1.0,
    3.0
   ]
  ],
  "layers": 2,
  "interaction_radius": 3.0,
  "contributed_by": {
   "by": [
    "@dorakingx"
   ],
   "date": "2026-10-02",
   "method": "Simulated annealing over site assignments on an integer grid with the repo's own research/local2d/fold_layout.search_layout (max-diameter objective, several bounding boxes and seeds); single layer at radius 4 tried first, then two layers at 7. Radius and per-site occupancy re-measured with the verifier's rule."
  }
 }
}