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Computer Aided Systems Theory – EUROCAST 2005

Volume 3643 of the series Lecture Notes in Computer Science pp 327-336

Fault Cryptanalysis of ElGamal Signature Scheme

  • Janusz BiernatAffiliated withInstitute of Engineering Cybernetics, Wrocław University of Technology
  • , Maciej NikodemAffiliated withInstitute of Engineering Cybernetics, Wrocław University of Technology

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Abstract

In this paper we examine the immunity of ElGamal signature scheme and its variants against fault cryptanalysis. Although such schemes have been already widely adopted, their resistance against fault cryptanalysis has not been verified in detail yet. However, at least some of them are not immune to fault cryptanalysis and can be broken without solving discrete logarithm problem. We will show that the selected signature schemes can be broken in O(nlog2n) steps if single bit-flip errors are inducted during computations. We also present two modifications that can be used to improve security of ElGamal scheme.