{
 "schema_version": "0.1",
 "name": "[[12,4,2]] 2BGA",
 "code_type": "CSS",
 "n": 12,
 "k": 4,
 "checks": {
  "X": [
   [
    0,
    1,
    6,
    8,
    10
   ],
   [
    0,
    1,
    7,
    9,
    11
   ],
   [
    2,
    3,
    6,
    8,
    10
   ],
   [
    2,
    3,
    7,
    9,
    11
   ],
   [
    4,
    5,
    6,
    8,
    10
   ],
   [
    4,
    5,
    7,
    9,
    11
   ]
  ],
  "Z": [
   [
    0,
    2,
    4,
    6,
    7
   ],
   [
    1,
    3,
    5,
    6,
    7
   ],
   [
    0,
    2,
    4,
    8,
    9
   ],
   [
    1,
    3,
    5,
    8,
    9
   ],
   [
    0,
    2,
    4,
    10,
    11
   ],
   [
    1,
    3,
    5,
    10,
    11
   ]
  ]
 },
 "distance": {
  "d": 2,
  "X": {
   "value": 2,
   "confidence": "upper_bound",
   "witness": [
    10,
    11
   ]
  },
  "Z": {
   "value": 2,
   "confidence": "upper_bound",
   "witness": [
    6,
    10
   ]
  }
 },
 "provenance": {
  "authors": [
   "@MathysRennela"
  ],
  "construction": "2BGA (arXiv:2306.16400) on SmallGroup(6,2), from github.com/QEC-pages/2BGA-codes @ 403d194c3f98f0cadc236aecbc4a8b6139ccf23c, abelian.zip, diswtabelian_wt5wtL2_order6_k4.txt, line 1. nonidentity supports a=[2], b=[3, 5].",
  "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"
}