Abstract
In this paper, we will point out a new side-channel vulnerability of cryptosystems implementation based on BRIP or square-multiply-always algorithm by exploiting specially chosen input message of order two. A recently published countermeasure, BRIP, against conventional simple power analysis (SPA) and differential power analysis (DPA) will be shown to be vulnerable to the proposed SPA in this paper. Another well known SPA countermeasure, the square-multiply-always algorithm, will also be shown to be vulnerable to this new attack. Further extension of the proposed attack is possible to develop more powerful attacks.
This work was supported by University IT Research Center Project.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Kocher, P., Jaffe, J., Jun, B.: Differential power analysis. In: Wiener, M. (ed.) CRYPTO 1999. LNCS, vol. 1666, pp. 388–397. Springer, Heidelberg (1999)
Rivest, R.L., Shamir, A., Adleman, L.: A method for obtaining digital signatures and public-key cryptosystem. Commun. of ACM 21(2), 120–126 (1978)
Miller, V.: Uses of elliptic curve in cryptography. In: Williams, H.C. (ed.) CRYPTO 1985. LNCS, vol. 218, pp. 417–426. Springer, Heidelberg (1986)
Koblitz, N.: Elliptic curve cryptosystems. Mathematics of Computation 48(177), 203–209 (1987)
Goubin, L.: A refined power-analysis attack on elliptic curve cryptosystems. In: Desmedt, Y.G. (ed.) PKC 2003. LNCS, vol. 2567, pp. 199–210. Springer, Heidelberg (2002)
Akishita, T., Takagi, T.: Zero-value point attacks on elliptic curve cryptosystem. In: Boyd, C., Mao, W. (eds.) ISC 2003. LNCS, vol. 2851, pp. 218–233. Springer, Heidelberg (2003)
Fouque, P.-A., Valette, F.: The doubling attack – why upwards is better than downwards. In: Walter, C.D., Koç, Ç.K., Paar, C. (eds.) CHES 2003. LNCS, vol. 2779, pp. 269–280. Springer, Heidelberg (2003)
Coron, J.: Resistance against differential power analysis for elliptic curve cryptosystems. In: Koç, Ç.K., Paar, C. (eds.) CHES 1999. LNCS, vol. 1717, pp. 292–302. Springer, Heidelberg (1999)
Mamiya, H., Miyaji, A., Morimoto, H.: Efficient countermeasures against RPA, DPA, and SPA. In: Joye, M., Quisquater, J.-J. (eds.) CHES 2004. LNCS, vol. 3156, pp. 343–356. Springer, Heidelberg (2004)
PKCS #1 v2.1, RSA Cryptography Standard, January 5 (2001), http://www.rsasecurity.com/rsalabs/pkcs/
Bellare, M., Rogaway, P.: Optimal asymmetric encryption padding – How to encrypt with RSA. In: De Santis, A. (ed.) EUROCRYPT 1994. LNCS, vol. 950, pp. 92–111. Springer, Heidelberg (1995)
Schramm, K., Wollinger, T., Paar, C.: A new class of collision attacks and its application to DES. In: Johansson, T. (ed.) FSE 2003. LNCS, vol. 2887, pp. 206–222. Springer, Heidelberg (2003)
ElGamal, T.: A public key cryptosystem and a signature scheme based on discrete logarithms. IEEE Trans. Inf. Theory 31(4), 469–472 (1985)
Menezes, A.J., van Oorschot, P.C., Vanstone, S.A.: Handbook of applied cryptography. CRC Press, Boca Raton (1997)
Quisquater, J.-J., Couvreur, C.: Fast decipherment algorithm for RSA public key cryptosystem. Electronics Letters 18(21), 905–907 (1982)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2005 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Yen, SM., Lien, WC., Moon, S., Ha, J. (2005). Power Analysis by Exploiting Chosen Message and Internal Collisions – Vulnerability of Checking Mechanism for RSA-Decryption. In: Dawson, E., Vaudenay, S. (eds) Progress in Cryptology – Mycrypt 2005. Mycrypt 2005. Lecture Notes in Computer Science, vol 3715. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11554868_13
Download citation
DOI: https://doi.org/10.1007/11554868_13
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-28938-8
Online ISBN: 978-3-540-32066-1
eBook Packages: Computer ScienceComputer Science (R0)