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Cryptanalysis of RSA Signatures with Fixed-Pattern Padding

  • Eric Brier
  • Christophe Clavier
  • Jean-Sébastien Coron
  • David Naccache
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2139)

Abstract

A fixed-pattern padding consists in concatenating to the message m a fixed pattern P. The RSA signature is then obtained by computing P|m d mod N where d is the private exponent and N the modulus. In Eurocrypt ’97, Girault and Misarsky showed that the size of P must be at least half the size of N (in other words the parameter configurations |P| < |N|/2 are insecure) but the security of RSA fixed-pattern padding remained unknown for |P| > |N|/2. In this paper we show that the size of P must be at least two-thirds of the size of N, i.e. we show that |P| < 2|N|/3 is insecure.

Keywords

RSA signatures fixed-pattern padding affine redundancy 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Eric Brier
    • 1
  • Christophe Clavier
    • 2
  • Jean-Sébastien Coron
    • 2
  • David Naccache
    • 2
  1. 1.Gemplus Card InternationalGémenos CedexFrance
  2. 2.Gemplus Card InternationalIssy-les-MoulineauxFrance

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