Abstract
SFLASH is a signature scheme proposed by Patarin, Goubin and Courtois in 2001 [9,7] following a design they had introduced in 1998 [8]. SFLASH is reputed for being very fast and has been recommended by the NESSIE European Consortium since 2003 as the best known solution for implementation on low cost smart cards [5]. In this abstract, we present new attacks on the general design proposed by Patarin et al. [8] which allows to forge signatures in a few minutes for practical instantiations including the SFLASH scheme recommended by NESSIE [5].
This abstract compiles the results of two papers appearing in the proceedings of EUROCRYPT 2007 and CRYPTO 2007. Part of this work is supported by the Commission of the European Communities through the IST program under contract IST-2002-507932 ECRYPT.
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References
Fouque, P.-A., Granboulan, L., Stern, J.: Differential Cryptanalysis for Multivariate Schemes. In: Cramer, R.J.F. (ed.) EUROCRYPT 2005. LNCS, vol. 3494, pp. 341–353. Springer, Heidelberg (2005)
Gilbert, H., Minier, M.: Cryptanalysis of SFLASH. In: Knudsen, L.R. (ed.) EUROCRYPT 2002. LNCS, vol. 2332, pp. 288–298. Springer, Heidelberg (2002)
Hoffstein, J., Howgrave-Graham, N., Pipher, J., Silverman, J.H., Whyte, W.: NTRUSIGN: Digital Signatures Using the NTRU Lattice. In: Joye, M. (ed.) CT-RSA 2003. LNCS, vol. 2612, pp. 122–140. Springer, Heidelberg (2003)
Matsumoto, T., Imai, H.: Public Quadratic Polynominal-Tuples for Efficient Signature-Verification and Message-Encryption. In: Günther, C.G. (ed.) EUROCRYPT 1988. LNCS, vol. 330, pp. 419–453. Springer, Heidelberg (1988)
NESSIE: New European Schemes for Signatures Integrity and Encryption. Portfolio of recommended cryptographic primitives, http://www.nessie.eu.org/index.html
Patarin, J.: Cryptanalysis of the Matsumoto and Imai Public Key Scheme of Eurocrypt 1988. In: Coppersmith, D. (ed.) CRYPTO 1995. LNCS, vol. 963, pp. 248–261. Springer, Heidelberg (1995)
Patarin, J., Courtois, N., Goubin, L.: FLASH, a Fast Multivariate Signature Algorithm. In: Naccache, D. (ed.) CT-RSA 2001. LNCS, vol. 2020, pp. 298–307. Springer, Heidelberg (2001)
Patarin, J., Goubin, L., Courtois, N.: C * − + and HM: Variations Around Two Schemes of T. Matsumoto and H. Imai. In: Ohta, K., Pei, D. (eds.) ASIACRYPT 1998. LNCS, vol. 1514, pp. 35–49. Springer, Heidelberg (1998)
Specifications of SFLASH. Final Report NESSIE, pp. 669–677 (2004)
Yang, B.-Y., Chen, J.-M.: Building Secure Tame-like Multivariate Public-Key Cryptosystems: The New TTS. In: Boyd, C., González Nieto, J.M. (eds.) ACISP 2005. LNCS, vol. 3574, pp. 518–531. Springer, Heidelberg (2005)
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Dubois, V., Fouque, PA., Shamir, A., Stern, J. (2008). Cryptanalysis of the SFLASH Signature Scheme . In: Pei, D., Yung, M., Lin, D., Wu, C. (eds) Information Security and Cryptology. Inscrypt 2007. Lecture Notes in Computer Science, vol 4990. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-79499-8_1
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