Download e-book for kindle: Algebraic Combinatorics and Applications: Proceedings of the by Anton Betten, Axel Kohnert, Reinhard Laue, Alfred Wassermann

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By Anton Betten, Axel Kohnert, Reinhard Laue, Alfred Wassermann

This publication arose from the Euroconference "Algebraic Combinatorics and purposes" held in G?ssweinstein, Germany, in September 1999, the place either senior and younger researchers in natural arithmetic, utilized arithmetic, machine technological know-how, physics, and chemistry from diverse ecu international locations met. the most subject matter of the convention was once workforce activities in a number of components, a large spectrum of that is awarded in those court cases. This quantity could be a great tool for researchers and graduate scholars in discrete arithmetic and theoretical computing device technology.

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Extra resources for Algebraic Combinatorics and Applications: Proceedings of the Euroconference, Algebraic Combinatorics and Applications (ALCOMA), held in Gößweinstein, ... 12-19, 1999 (English and German Edition)

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7 Preimage Attacks on Vortex-1 A preimage attack on MDC-2 having complexity below the brute force complexity of 22n (where, again, n is the size of the underlying block cipher) has been known for many years [9]. The attack has time complexity about 23n/2 . The attack applies to Vortex-1 as well, but is slightly more complicated due to the finalization process, and due to V not being efficiently invertible. Consider first a second preimage attack, where the chaining value after processing the first t − 1 message blocks of the first preimage is known.

CRYPTO 2008. LNCS, vol. 5157, pp. 179–202. Springer, Heidelberg (2008) 4. : Preimages for Reduced-Round Tiger. , Wolf, C. ) WEWoRC 2007. LNCS, vol. 4945, pp. 90–99. Springer, Heidelberg (2008) 5. : Preimage Attacks on Reduced Tiger and SHA-2. In: Dunkelman, O. ) FSE 2009. LNCS, Springer, Heidelberg (2009) (to appear) 6. : Collisions and Near-Collisions for Reduced-Round Tiger. B. ) FSE 2006. LNCS, vol. 4047, pp. 111–125. Springer, Heidelberg (2006) 7. : Cryptanalysis of MDC2. In: Joux, A. ) EUROCRYPT 2009.

Next we compute A7 , B7 , and C7 for all 238 choices of B−1 [63 − 45] and C−1 [63 − 45] and save the result in a list L. In other words, we get 238 entries in the list L by modifying the 19 most significant bits of B−1 and the 19 most significant bits of C−1 . 4. For all 238 choices of the 19 most significant bits of B15 and the 19 most significant bits of C15 we compute A7 , B7 , C7 (by going backward) and check if there is an entry in the list L such that the following conditions are fulfilled: A7 [i] = A7 [i] for 0 ≤ i ≤ 63 B7 [i] = B7 [i] for 0 ≤ i ≤ 63 C7 [i] = C7 [i] for 0 ≤ i ≤ 44 These conditions will hold with probability of 2−173 .

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