By Elad Barkan, Eli Biham, Adi Shamir (auth.), Cynthia Dwork (eds.)
ISBN-10: 3540374329
ISBN-13: 9783540374329
ISBN-10: 3540374337
ISBN-13: 9783540374336
This booklet constitutes the refereed lawsuits of the twenty sixth Annual overseas 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 rigorously reviewed and chosen from 250 submissions. The papers deal with all present foundational, theoretical and learn features of cryptology, cryptography, and cryptanalysis in addition to complicated applications.
Read Online or Download Advances in Cryptology - CRYPTO 2006: 26th Annual International Cryptology Conference, Santa Barbara, California, USA, August 20-24, 2006. Proceedings PDF
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Extra info for Advances in Cryptology - CRYPTO 2006: 26th Annual International Cryptology Conference, Santa Barbara, California, USA, August 20-24, 2006. Proceedings
Sample text
The GKL generator uses the technique at the core of this paper, that we call the randomized iterate. Rather than simple iterations, an extra randomization step is added between every two applications of f . More precisely: Definition (Informal): (The Randomized Iterate) For function f , input x and random hash functions h1 , . . , h , recursively define the ith randomized iterate (for i ≤ ) by: f i (x, h1 , . . , h ) = xi = f (hi (xi−1 )) where x0 = f (x). The rational is that hi (xi ) is now uniformly distributed, and the challenge is to show that f , when applied to hi (xi ), is hard to invert even when the randomizing hash functions h1 , .
Alex Biryukov, Sourav Mukhopadhyay, Palash Sarkar, Improved Time-Memory Trade-Offs with Multiple Data, proceedings of SAC 2005, LNCS 3897, pp. 110– 127, Springer-Verlag, 2006. 8. Johan Borst, Bart Preneel, Joos Vandewalle, On the Time-Memory Tradeoff Between Exhaustive Key Search and Table Precomputation, Proceedings of 19th Symposium on Information Theory in the Benelux, Veldhoven (NL), pp. 111–118, 1998. 9. Amos Fiat, Moni Naor, Rigorous Time/Space Tradeoffs for Inverting Functions, STOC 1991, ACM Press, pp.
Remark: In the definition of randomized iterate we define f 0 (x) = f (x). This was chosen for ease of notation and consistency with the results for general OWFs (Section 3). For the regular OWF construction it suffices to define f 0 (x) = x, thus saving a single application of the function f . 2 The Last Randomized Iteration is Hard to Invert In this section we formally state and prove the key observation mentioned above. That is, that after applying k randomized-iterations of a regular one-way function f , it is hard to invert the last iteration, even if given access to all of the hash functions leading up to this point.
Advances in Cryptology - CRYPTO 2006: 26th Annual International Cryptology Conference, Santa Barbara, California, USA, August 20-24, 2006. Proceedings by Elad Barkan, Eli Biham, Adi Shamir (auth.), Cynthia Dwork (eds.)
by Joseph
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