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My assumption: It would seem logical that a cipher that cannot be run in parallel is (in some ways) more secure compared to one which can. Or two ciphers with equal security levels are not truly equal if one of them runs a billion times quicker on a supercomputer. Is my assumption misguided? A cipher with $n$-bit security means that there are $2^n$ keys to ...


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As I wrote in a comment, the reason your proposed attack does not work is that the random oracle also returns the same result when queried with the same input. The ideal functionality should clearly still be a (random) function, but I agree that the definition in your reference is not as clear as it could be. It would be more precise to say "uniform ...


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