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Validation of Elliptic Curve Public Keys

  • Adrian Antipa
  • Daniel Brown
  • Alfred Menezes
  • René Struik
  • Scott Vanstone
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2567)

Abstract

We present practical and realistic attacks on some standardized elliptic curve key establishment and public-key encryption protocols that are effective if the receiver of an elliptic curve point does not check that the point lies on the appropriate elliptic curve. The attacks combine ideas from the small subgroup attack of Lim and Lee, and the differential fault attack of Biehl, Meyer and Müller. Although the ideas behind the attacks are quite elementary, and there are simple countermeasures known, the attacks can have drastic consequences if these countermeasures are not taken by implementors of the protocols. We illustrate the effectiveness of such attacks on a key agreement protocol recently proposed for the IEEE 802.15 Wireless Personal Area Network (WPAN) standard.

Keywords

Elliptic Curve Elliptic Curf Domain Parameter Wireless Personal Area Network Fault Attack 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Adrian Antipa
    • 1
  • Daniel Brown
    • 1
  • Alfred Menezes
    • 2
  • René Struik
    • 1
  • Scott Vanstone
    • 2
  1. 1.Certicom ResearchCanada
  2. 2.Dept. of Combinatorics and OptimizationUniversity of WaterlooCanada

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