Abstract
In 2003, Augot et al. introduced the Fast Syndrome-Based hash family (in short FSB), which follows the generic construction of Merkle-Damgård and is based on the syndrome decoding problem. In 2007, Finiasz et al. proposed an improved version of FSB. In this work, we propose a new efficient hash function, which incorporates the ideas of FSB and the sponge construction introduced by Bertoni et al. Our proposal is up to 30 % faster in practice than FSB. Its security is related on the Regular Syndrome (RSD) Decoding problem, which is proven NP-complete.
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References
Augot, D., Finiasz, M., Sendrier, N.: A Family of Fast Syndrome Based Cryptographic Hash Functions. In: Dawson, E., Vaudenay, S. (eds.) Mycrypt 2005. LNCS, vol. 3715, pp. 64–83. Springer, Heidelberg (2005)
Barreto, P.S.L.M., Rijmen, V.: Whirlpool. Seventh hash-function of ISO/IEC 10118-3:2004 (2004)
Berlekamp, E., McEliece, R., van Tilborg, H.: On the inherent intractability of certain coding problems. IEEE Transactions on Information Theory 24(2), 384–386 (1978)
Bernstein, D.J.: Better price-performance ratios for generalized birthday attacks (2007)
Bernstein, D.J., Lange, T., Niederhagen, R., Peters, C., Schwabe, P.: FSBDay: Implementing wagner’s generalized birthday attack against the SHA-3 candidate FSB (2009)
Bernstein, D.J., Lange, T., Peters, C.: Ball-Collision Decoding. Cryptology ePrint Archive, Report 2010/585 (2010), http://eprint.iacr.org/
Bernstein, D.J., Lange, T., Peters, C., Schwabe, P.: Faster 2-regular information-set decoding (2011)
Bernstein, D.J., Lange, T., Peters, C., Schwabe, P.: Really fast syndrome-based hashing. Cryptology ePrint Archive, Report 2011/074 (2011), http://eprint.iacr.org/
Bertoni, G., Daemen, J., Peeters, M., Van Assche, G.: Keccak specifications. Submission to NIST, Round 2 (2009)
Biryukov, A., Wagner, D.: Slide attacks. In: Knudsen, L.R. (ed.) FSE 1999. LNCS, vol. 1636, pp. 245–259. Springer, Heidelberg (1999)
Brown, D.R.L., Antipa, A., Campagna, M., Struik, R.: Ecoh: the elliptic curve only hash. Submission to NIST (2008)
De Cannière, C., Rechberger, C.: Finding sha-1 characteristics: General results and applications. In: Lai, X., Chen, K. (eds.) ASIACRYPT 2006. LNCS, vol. 4284, pp. 1–20. Springer, Heidelberg (2006)
Contini, S., Lenstra, A.K., Steinfeld, R.: Vsh, an efficient and provable collision-resistant hash function. LNCS, pp. 165–182. Springer, Heidelberg (2006)
Coron, J.-S., Joux, A.: Cryptanalysis of a provably secure cryptographic hash function. Cryptology ePrint Archive, Report 2004/013 (2004), http://eprint.iacr.org/
Damgård, I.: A Design Principle for Hash Functions. In: Brassard, G. (ed.) CRYPTO 1989. LNCS, vol. 435, pp. 416–427. Springer, Heidelberg (1990)
Finiasz, M., Gaborit, P., Sendrier, N.: Improved fast syndrome based cryptographic hash functions. In: Rijmen, V. (ed.) ECRYPT Hash Workshop 2007 (2007)
Finiasz, M., Sendrier, N.: Security Bounds for the Design of Code-based Cryptosystems. In: Matsui, M. (ed.) ASIACRYPT 2009. LNCS, vol. 5912, pp. 88–105. Springer, Heidelberg (2009)
Peeters, M., Bertoni, G., Daemen, J., Van Assche, G.: Sponge Functions. In: ECRYPT Hash Workshop 2007 (2007)
Gaborit, P., Laudaroux, C., Sendrier, N.: Synd: a very fast code-based cipher stream with a security reduction. In: IEEE Conference, ISIT 2007, Nice, France, pp. 186–190 (July 2007)
Gorski, M., Lucks, S., Peyrin, T.: Slide attacks on a class of hash functions. In: Pieprzyk, J. (ed.) ASIACRYPT 2008. LNCS, vol. 5350, pp. 143–160. Springer, Heidelberg (2008)
Lyubashevsky, V., Micciancio, D., Peikert, C., Rosen, A.: Swifft: A modest proposal for fft hashing, pp. 54–72 (2008)
Merkle, R.C.: One Way Hash Functions and DES. In: Brassard, G. (ed.) CRYPTO 1989. LNCS, vol. 435, pp. 428–446. Springer, Heidelberg (1990)
National Institute of Standards and Technology (NIST). Secure Hash Standard (October 2008)
Saarinen, M.-J.O.: Linearization attacks against syndrome based hashes. In: Srinathan, K., Rangan, C.P., Yung, M. (eds.) INDOCRYPT 2007. LNCS, vol. 4859, pp. 1–9. Springer, Heidelberg (2007)
Wagner, D.: A generalized birthday problem. In: Yung, M. (ed.) CRYPTO 2002. LNCS, vol. 2442, p. 288. Springer, Heidelberg (2002)
Wang, X., Yin, Y.L., Yu, H.: Finding collisions in the full sha-1. In: Shoup, V. (ed.) CRYPTO 2005. LNCS, vol. 3621, pp. 17–36. Springer, Heidelberg (2005)
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Meziani, M., Dagdelen, Ö., Cayrel, PL., El Yousfi Alaoui, S.M. (2011). S-FSB: An Improved Variant of the FSB Hash Family. In: Kim, Th., Adeli, H., Robles, R.J., Balitanas, M. (eds) Information Security and Assurance. ISA 2011. Communications in Computer and Information Science, vol 200. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23141-4_13
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DOI: https://doi.org/10.1007/978-3-642-23141-4_13
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