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What is the difference between Pseudo Random Functions and Random Oracles?

  1. Is the difference only about the domain of PRFs and Random Oracles, former having a fixed domain and latter can act on any input as long as it is well formatted?
  2. Having a Random Oracle is a stronger assumption, why is that?
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Take a look at this for an intuitive definition of the random oracle – rath Apr 4 '14 at 0:34
  1. $\;\;\;$ No. $\:$ A PRF involves a secret key; a Random Oracle doesn't.

  2. $\;\;\;$ One can construct a PRF from a random oracle.

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