RSA-OAEP Is Secure under the RSA Assumption

  • Eiichiro Fujisaki
  • Tatsuaki Okamoto
  • David Pointcheval
  • Jacques Stern
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2139)

Abstract

Recently Victor Shoup noted that there is a gap in the widely-believed security result of OAEP against adaptive chosen-cipher-text attacks. Moreover, he showed that, presumably, OAEP cannot be proven secure from the one-wayness of the underlying trapdoor permutation. This paper establishes another result on the security of OAEP. It proves that OAEP offers semantic security against adaptive chosen-ciphertext attacks, in the random oracle model, under the partial-domain one-wayness of the underlying permutation. Therefore, this uses a formally stronger assumption. Nevertheless, since partial-domain one-wayness of the RSA function is equivalent to its (full-domain) one-wayness, it follows that the security of RSA-OAEP can actually be proven under the sole RSA assumption, although the reduction is not tight.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Eiichiro Fujisaki
    • 1
  • Tatsuaki Okamoto
    • 1
  • David Pointcheval
    • 2
  • Jacques Stern
    • 2
  1. 1.NTT LabsYokosuka-shiJapan
  2. 2.Dépt d’InformatiqueENS - CNRSParis Cedex 05France

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