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  "X": {
   "value": 21,
   "confidence": "upper_bound",
   "witness": [
    7,
    9,
    12,
    25,
    31,
    32,
    53,
    64,
    76,
    93,
    96,
    97,
    99,
    105,
    107,
    117,
    119,
    139,
    140,
    141,
    163
   ]
  },
  "Z": {
   "value": 21,
   "confidence": "upper_bound",
   "witness": [
    2,
    6,
    9,
    26,
    28,
    32,
    34,
    38,
    40,
    52,
    53,
    66,
    96,
    113,
    119,
    121,
    133,
    140,
    142,
    155,
    167
   ]
  }
 },
 "provenance": {
  "authors": [
   "@MathysRennela"
  ],
  "construction": "2BGA (arXiv:2306.16400) on SmallGroup(86,1), from github.com/QEC-pages/2BGA-codes @ 403d194c3f98f0cadc236aecbc4a8b6139ccf23c, nonabelian.zip, diswtnonabelian_wt8wtL4_order86_k2.txt, line 17. nonidentity supports a=[2, 3, 5], b=[15, 35, 57].",
  "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"
}