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Springer, Lecture Notes in Computer Science, p. 226-241, 2002

DOI: 10.1007/3-540-45708-9_15

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Universal Padding Schemes for RSA

Journal article published in 2002 by Jean-Sébastien Coron, Marc Joye, David Naccache, Pascal Paillier
This paper is made freely available by the publisher.
This paper is made freely available by the publisher.

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Abstract

A common practice to encrypt with RSA is to first apply a padding scheme to the message and then to exponentiate the result with the public exponent; an example of this is OAEP. Similarly, the usual way of signing with RSA is to apply some padding scheme and then to exponentiate the result with the private exponent, as for example in PSS. Usually, the RSA modulus used for encrypting is di#erent from the one used for signing. The goal of this paper is to simplify this common setting. First, we show that PSS can also be used for encryption, and gives an encryption scheme semantically secure against adaptive chosenciphertext attacks, in the random oracle model. As a result, PSS can be used indi#erently for encryption or signature. Moreover, we show that PSS allows to safely use the same RSA key-pairs for both encryption and signature, in a concurrent manner. More generally, we show that using PSS the same set of keys can be used for both encryption and signature for any trapdoor partial-domain one-way permutation. The practical consequences of our result are important: PKIs and public-key implementations can be significantly simplified.