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Unbridle the Bit-Length of a Crypto-coprocessor with Montgomery Multiplication

  • Masayuki Yoshino
  • Katsuyuki Okeya
  • Camille Vuillaume
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4356)

Abstract

We present a novel approach for computing 2n-bit Montgomery multiplications with n-bit hardware Montgomery multipliers. Smartcards are usually equipped with such hardware Montgomery multipliers; however, due to progresses in factoring algorithms, the recommended bit length of public-key schemes such as RSA is steadily increasing, making the hardware quickly obsolete. Thanks to our double-size technique, one can re-use the existing hardware while keeping pace with the latest security requirements. Unlike the other double-size techniques which rely on classical n-bit modular multipliers, our idea is tailored to take advantage of n-bit Montgomery multipliers. Thus, our technique increases the perenniality of existing products without compromises in terms of security.

Keywords

Montgomery multiplication RSA crypto-coprocessor smartcard 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2007

Authors and Affiliations

  • Masayuki Yoshino
    • 1
  • Katsuyuki Okeya
    • 1
  • Camille Vuillaume
    • 1
  1. 1.Hitachi, Ltd., Systems Development Laboratory, KawasakiJapan

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