International Association for Cryptologic Research

International Association
for Cryptologic Research


Paper: Random Oracles and Auxiliary Input

Dominique Unruh
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Abstract: We introduce a variant of the random oracle model where oracle-dependent auxiliary input is allowed. In this setting, the adversary gets an auxiliary input that can contain information about the random oracle. Using simple examples we show that this model should be preferred over the classical variant where the auxiliary input is independent of the random oracle. In the presence of oracle-dependent auxiliary input, the most important proof technique in the random oracle model - lazy sampling - does not apply directly. We present a theorem and a variant of the lazy sampling technique that allows one to perform proofs in the new model almost as easily as in the old one. As an application of our approach and to illustrate how existing proofs can be adapted, we prove that RSA-OAEP is IND-CCA2 secure in the random oracle model with oracle-dependent auxiliary input.
  title={Random Oracles and Auxiliary Input},
  booktitle={IACR Eprint archive},
  keywords={foundations / Random oracles, auxiliary input, proof techniques},
  note={This is the full version of a paper appearing at Crypto 2007 13672 received 7 May 2007, last revised 8 Jun 2007},
  author={Dominique Unruh},