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Circularity Based IO, Part 3

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Proposes that Oblivious-LWE sampling plus LWE gives a simulation-secure Dual-GSW split-FHE which implies IO; shows single-opening security by adding a fresh LWE sample to re-randomize openings but demonstrates multi-opening attacks unless the scheme uses a CRS plus a short, A-dependent value P. Builds a heuristic instantiation of oblivious sampling by homomorphically evaluating a PRF-encrypted key and relies on a circular security assumption (indistinguishability of beta=0/1 distributions); construction is plausible but not proven from LWE alone.

AI-written summary · about

  1. 0:00Start
  2. 5:17Learning with Errors (LWE)
  3. 11:17Warm up: 1-Opening Security
  4. 13:50Beyond 1-Opening Security?
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