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Designs, Codes and Cryptography

, Volume 38, Issue 1, pp 41–53 | Cite as

Index Calculation Attacks on RSA Signature and Encryption

  • Jean-Sébastien CoronEmail author
  • David Naccache
  • Yvo Desmedt
  • Andrew Odlyzko
  • Julien P. Stern
Article

Abstract

At Crypto ’85, Desmedt and Odlyzko described a chosen-ciphertext attack against plain RSA encryption. The technique can also be applied to RSA signatures and enables an existential forgery under a chosen-message attack. The potential of this attack remained untapped until a twitch in the technique made it effective against two very popular RSA signature standards, namely iso/iec 9796-1 and iso/iec 9796-2. Following these attacks, iso/iec 9796-1 was withdrawn and ISO/IEC 9796-2 amended. In this paper, we explain in detail Desmedt and Odlyzko’s attack as well as its application to the cryptanalysis of iso/iec 9796-2.

Keywords

RSA cryptanalsis signature forgery smoothness Index Calculation ISO 9796 

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Copyright information

© Springer Science+Business Media, Inc. 2006

Authors and Affiliations

  • Jean-Sébastien Coron
    • 1
    Email author
  • David Naccache
    • 1
  • Yvo Desmedt
    • 2
  • Andrew Odlyzko
    • 3
  • Julien P. Stern
    • 4
  1. 1.Gemplus Card InternationalFrance
  2. 2.Florida State UniversityUSA
  3. 3.University of MinnesotaUSA
  4. 4.Cryptolog InternationalFrance

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