[...] (You can possibly make some provable constructions in the "perfect cipher model", but this is an exceedingly unrealistic model.)[...]
Now, I do agree the ideal cipher model is unrealistic in that, while
we're assuming AES is an ideal cipher, it clearly cannot be one.
While we could postulate more satisfying theoretical results, the
ideal cipher model seems like the best assurance we're going to get
for this kind of construct any time soon.
Maybe, it's just that this level of assurance is not very reassuring (for me, at least).
Relying on the ideal cipher model for assurance is similar to relying on the random oracle model for assurance. There are systems provably secure in that model that have no secure instantiation when the oracle is replaced with a real function. We know that, yet in practice, it seems to serve us reasonably well.
-- Shai
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