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.
Preview
Unable to display preview. Download preview PDF.
References
Bao, F., Deng, R., Han, Y., Jeng, A., Narasimhalu, A.D., Ngair, T.-H.: Breaking Public Key Cryptosystems an Tamper Resistance Devices in the Presence of Transient Fault. In: Christianson, B., Lomas, M. (eds.) Security Protocols 1997. LNCS, vol. 1361, pp. 115–124. Springer, Heidelberg (1998)
Boneh, D., DeMillo, R.A., Lipton, R.J.: On the Importance of Checking Cryptographic Protocols for Faults. In: Fumy, W. (ed.) EUROCRYPT 1997. LNCS, vol. 1233, pp. 37–51. Springer, Heidelberg (1997)
Giraud, C., Knudsen, E.: Fault Attacks on Signature Schemes. In: Wang, H., Pieprzyk, J., Varadharajan, V. (eds.) ACISP 2004. LNCS, vol. 3108, pp. 478–491. Springer, Heidelberg (2004)
Koblitz, N.: A Course in Number Theory and Cryptography. Springer, New York (1994) ISBN 83-204-1836-4
Menezes, A.J., van Oorschot, P.C., Vanstone, S.A.: Handbook of Applied Cryptography. CRC Press, Boca Raton (1996) ISBN 0-8493-8523-7
Yen, S., Joye, M.: Checking Before Output May Not Be Enough against fault-based cryptanalysis. IEEE Transactions on Computers 49(9), 967–970 (2000)
Yen, S., Kim, S., Lim, S., Moon, S.: RSA Speedup with Chinese Reminder Theorem Immune Against Hardware Fault Cryptanalysis. IEEE Transactions on Computers 52(4), 461–472 (2003)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Copyright information
© 2005 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Biernat, J., Nikodem, M. (2005). Fault Cryptanalysis of ElGamal Signature Scheme. In: Moreno Díaz, R., Pichler, F., Quesada Arencibia, A. (eds) Computer Aided Systems Theory – EUROCAST 2005. EUROCAST 2005. Lecture Notes in Computer Science, vol 3643. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11556985_43
Download citation
DOI: https://doi.org/10.1007/11556985_43
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-29002-5
Online ISBN: 978-3-540-31829-3
eBook Packages: Computer ScienceComputer Science (R0)