By Elad Barkan, Eli Biham, Adi Shamir (auth.), Cynthia Dwork (eds.)
This ebook constitutes the refereed court cases 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 examine facets of cryptology, cryptography, and cryptanalysis in addition to complex applications.
Read 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 resources for Advances in Cryptology - CRYPTO 2006: 26th Annual International Cryptology Conference, Santa Barbara, California, USA, August 20-24, 2006. Proceedings
Hk 1 ) to f k , in order to have a collision we must ﬁrst have that hi 0 = hi 1 for every i ∈ [k], which happens with probability (1/ |H|)k . Now, given that hi 0 = hi 1 = hi for all i (with a random hi ∈ H), we require also that xk0 = f k (x0 , h1 , . . , hk ) equals xk1 = f k (x1 , h1 , . . , hk ). If f (x0 ) = f (x1 ) (happens with probability 1/ |Im(f )|), then a collision is assured. = xi−1 but xi0 = xi1 (where Otherwise, there must be an i ∈ [k] for which xi−1 0 1 i−1 i−1 x0 denotes the input x).
Their solution is based on pairwiseindependent hash functions that serve as the public randomness. We are able to combine all of these ingredients into one general result, perhaps due to our simpliﬁed proof. 3 Additional Issues – On Non-Length-Preserving Functions: Throughout the paper we focus on length preserving one-way functions. In the full version we demonstrate how our proofs may be generalized to use non-length preserving functions. This generalization requires the use of a construction of a family of almost pairwise-independent hash functions.
Harnik, and O. Reingold public random coins that are not regarded a part of the input. However, our results introduce signiﬁcant savings in the amount of public randomness that is necessary. Paper Organization: In Section 2, we present our construction of pseudorandom generators from regular one-way functions. In Section 3, we present our improvement to the HILL construction of pseudorandom generators from any one-way function. Finally, in Section 4, we present our hardness ampliﬁcation of regular one-way functions.
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.)