{
 "schema_version": "0.2",
 "name": "[[64,2,8]] toric code",
 "code_type": "CSS",
 "n": 64,
 "k": 2,
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 },
 "distance": {
  "d": 8,
  "X": {
   "value": 8,
   "confidence": "exact",
   "witness": [
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  "Z": {
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   "confidence": "exact",
   "witness": [
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    60,
    61
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  }
 },
 "provenance": {
  "authors": [
   "Kitaev, A. Yu."
  ],
  "origin": "baseline",
  "construction": "Rotated toric code on an 8x8 torus, distance 8.",
  "date": "1997-07-09",
  "references": [
   "arXiv:quant-ph/9707021"
  ],
  "notes": "Distance is exact by construction. 2D layout added 2026-07-23: the 8x8 torus folded into the plane (ring fold i -> 2i / 2(L-i)-1 per axis), making the wrap-around checks geometrically local; single layer, measured interaction radius 2*sqrt(2)."
 },
 "family": "topological",
 "locality": {
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  "interaction_radius": 2.8284271247461903,
  "layers": 1
 },
 "circuit": {
  "d_circ": {
   "Z": {
    "value": 8,
    "confidence": "upper_bound",
    "witness": [
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   "X": {
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    "confidence": "upper_bound",
    "witness": [
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  },
  "rounds": 8,
  "stim_version": "1.16.0",
  "notes": "uniform plaquette coupling order (X pattern 'kf_x', Z pattern 'kf_x'; kf_* are the Kishony-Fowler diagonal orders of arXiv:2602.09099) on the natural row-major torus indexing; generated by research/circuit_seed_toric.py"
 }
}