By Sebastiaan Indesteege, Nathan Keller (auth.), Nigel Smart (eds.)
This publication constitutes the refereed lawsuits of the twenty seventh Annual foreign convention at the conception and functions of Cryptographic suggestions, EUROCRYPT 2008, held in Istanbul, Turkey, in April 2008.
The 31 revised complete papers offered have been rigorously reviewed and chosen from 163 submissions. The papers handle all present foundational, theoretical and examine elements of cryptology, cryptography, and cryptanalysis in addition to complicated functions. The papers are geared up in topical sections on cryptanalysis, signatures, encryption, curve dependent cryptography, hash and mac functionality buildings, cryptanalysis of hash and mac features, multi-party computation, protocols, 0 wisdom, foundations, and UC multi-party computation utilizing tamper evidence hardware.
Read or Download Advances in Cryptology – EUROCRYPT 2008: 27th Annual International Conference on the Theory and Applications of Cryptographic Techniques, Istanbul, Turkey, April 13-17, 2008. Proceedings PDF
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Additional info for Advances in Cryptology – EUROCRYPT 2008: 27th Annual International Conference on the Theory and Applications of Cryptographic Techniques, Istanbul, Turkey, April 13-17, 2008. Proceedings
Their algorithm is very eﬃcient when the system of polynomials B is random and has small degree terms such as in the authentication scheme proposed by Patarin and some parameters of the traitor tracing scheme of Billet and Gilbert. However, for larger parameters proposed by Billet and Gilbert or for the parameters of SFLASH, the algorithm does not work. Their algorithm considers only terms of small degree in the system of polynomials so that the system they deﬁned in the unknowns of S and T will be overdetermined.
Basis randomization allows to transform any deterministic algorithm like LLL or BKZ into a randomized algorithm. Experiments suggest that LLL and BKZ behave like probabilistic SVP-oracles in low dimension (see Fig. 1): no matter which lattice is selected, if the input basis is chosen at random, the algorithm seems to have a non-negligible probability of outputting the shortest vector. 100 LLL BKZ-10 BKZ-20 90 80 success rate 70 60 50 40 30 20 10 0 0 5 10 15 20 25 30 dimension 35 40 45 50 Fig. 1.
In this attack, the authors are also able to recover equivalent secret keys. The way they recover u consists in raising Nu to some power so that uα has a small order and then, exhaustive search can be performed. Fortunately, for the proposed parameters, it is always the case. However, if this trick is not possible, our method that computes the minimal polynomial can be done and we get directly the value u. Consequently, we can improve the cryptanalysis of the -IC scheme. 6 Conclusion Here, we describe a key recovery attack on the C∗ schemes family which lead to the recovery of equivalent secret keys.
Advances in Cryptology – EUROCRYPT 2008: 27th Annual International Conference on the Theory and Applications of Cryptographic Techniques, Istanbul, Turkey, April 13-17, 2008. Proceedings by Sebastiaan Indesteege, Nathan Keller (auth.), Nigel Smart (eds.)