Advances in Cryptology - CRYPTO 2006: 26th Annual by Elad Barkan, Eli Biham, Adi Shamir (auth.), Cynthia Dwork

By Elad Barkan, Eli Biham, Adi Shamir (auth.), Cynthia Dwork (eds.)

This publication constitutes the refereed complaints of the twenty sixth Annual foreign Cryptology convention, CRYPTO 2006, held in Santa Barbara, California, united states in August 2006.

The 34 revised complete papers awarded including 2 invited lectures have been conscientiously reviewed and chosen from 250 submissions. The papers tackle all present foundational, theoretical and study elements of cryptology, cryptography, and cryptanalysis in addition to complex applications.

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Suppose that we have an algorithm A that always finds x0 given x1 = f 1 (x, h) and h. In order to invert the one-way function f on an element z ∈ Im(f ), we simply need to find a hash h that is consistent with z, 32 I. Haitner, D. Harnik, and O. Reingold in the sense that there exists an x such that z = f 1 (x , h ). Now we simply run y = A(z, h ), and output h (y) (and indeed f (h (y)) = z). The point is that if f is a regular function, then finding a consistent hash is easy, because a random and independent h is likely to be consistent with z.

11. Martin E. Hellman, A Cryptanalytic Time-Memory Trade-Off, IEEE Transactions on Information Theory, Vol. IT-26, No. 4, pp. 401–406, 1980. 12. Il-Jun Kim, Tsutomu Matsumoto, Achieving Higher Success Probability in TimeMemory Trade-Off Cryptanalysis without Increasing Memory Size, IEICE Transactions on Fundamentals, Vol. E82-A, No. 1, pp. 123–129, 1999. 13. Koji Kusuda, Tsutomu Matsumoto, Optimization of Time-Memory Trade-Off Cryptanalysis and Its Application to DES, FEAL-32, and Skipjack, IEICE Transactions on Fundamentals, Vol.

Finally, we show that the randomized iterate may even be useful in the general context of [HILL99]. In Particular, we use the randomized iterate to replace the basic building block of the [HILL99] construction. Interestingly, this modification improves efficiency by an n3 factor and reduces the seed length to O(n7 ) (which also implies improvement in the security of the construction). Research supported in part by a grant of the Israeli Science Foundation (ISF). This research was conducted at the Weizmann Institute.

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