{
 "schema_version": "0.2",
 "name": "[[14,6,3]] 2BGA",
 "code_type": "CSS",
 "n": 14,
 "k": 6,
 "checks": {
  "X": [
   [
    0,
    4,
    6,
    7,
    9,
    12,
    13
   ],
   [
    0,
    1,
    5,
    7,
    8,
    10,
    13
   ],
   [
    1,
    2,
    6,
    7,
    8,
    9,
    11
   ],
   [
    0,
    2,
    3,
    8,
    9,
    10,
    12
   ],
   [
    1,
    3,
    4,
    9,
    10,
    11,
    13
   ],
   [
    2,
    4,
    5,
    7,
    10,
    11,
    12
   ],
   [
    3,
    5,
    6,
    8,
    11,
    12,
    13
   ]
  ],
  "Z": [
   [
    0,
    1,
    2,
    5,
    7,
    8,
    10
   ],
   [
    1,
    2,
    3,
    6,
    8,
    9,
    11
   ],
   [
    0,
    2,
    3,
    4,
    9,
    10,
    12
   ],
   [
    1,
    3,
    4,
    5,
    10,
    11,
    13
   ],
   [
    2,
    4,
    5,
    6,
    7,
    11,
    12
   ],
   [
    0,
    3,
    5,
    6,
    8,
    12,
    13
   ],
   [
    0,
    1,
    4,
    6,
    7,
    9,
    13
   ]
  ]
 },
 "distance": {
  "d": 3,
  "X": {
   "value": 3,
   "confidence": "upper_bound",
   "witness": [
    0,
    8,
    9
   ]
  },
  "Z": {
   "value": 3,
   "confidence": "upper_bound",
   "witness": [
    10,
    12,
    13
   ]
  }
 },
 "provenance": {
  "authors": [
   "@MathysRennela"
  ],
  "construction": "2BGA (arXiv:2306.16400) on SmallGroup(7,1), from github.com/QEC-pages/2BGA-codes @ 403d194c3f98f0cadc236aecbc4a8b6139ccf23c, abelian.zip, diswtabelian_wt7wtL3_order7_k6.txt, line 1. nonidentity supports a=[2, 4], 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": [
   [
    0,
    6
   ],
   [
    0,
    5
   ],
   [
    0,
    0
   ],
   [
    0,
    6
   ],
   [
    0,
    3
   ],
   [
    0,
    2
   ],
   [
    0,
    1
   ],
   [
    0,
    4
   ],
   [
    0,
    3
   ],
   [
    0,
    5
   ],
   [
    0,
    2
   ],
   [
    0,
    0
   ],
   [
    0,
    4
   ],
   [
    0,
    1
   ]
  ],
  "layers": 2,
  "contributed_by": {
   "by": [
    "@mathysrennela"
   ],
   "date": "2026-09-19",
   "method": "simulated annealing over integer grid sites (research/local2d/fold_layout.py)"
  }
 }
}