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 "distance": {
  "d": 12,
  "X": {
   "value": 12,
   "confidence": "upper_bound",
   "witness": [
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  "Z": {
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   "confidence": "upper_bound",
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 },
 "provenance": {
  "authors": [
   "@mathysrennela"
  ],
  "construction": "GALA code of arXiv:2608.07431 Table S5: L=12, J=5, abelian bottom C_16, F=(x^10, x^3, x^2, x^15, x^12, x^6), G=(x^6, x^10, x^4, x, x^14, x^13); two-block quasi-cyclic over F2[Z_6 x C_16] with active-orthogonality pattern (r2 reflection sector involution). Reconstructed from the paper's explicit generators; paper certifies d=12 exactly.",
  "origin": "submission",
  "date": "2026-08-24",
  "model": "Ox Alpha 1.0"
 },
 "family": "other"
}