Download Advances in Cryptology - EUROCRYPT 2009: 28th Annual by Mihir Bellare, Dennis Hofheinz, Scott Yilek (auth.), Antoine PDF

By Mihir Bellare, Dennis Hofheinz, Scott Yilek (auth.), Antoine Joux (eds.)

This e-book constitutes the refereed complaints of the twenty eighth Annual overseas convention at the conception and purposes of Cryptographic strategies, EUROCRYPT 2009, held in Cologne, Germany, in April 2009.

The 33 revised complete papers offered including 1 invited lecture have been conscientiously reviewed and chosen from 148 submissions. The papers tackle all present foundational, theoretical and examine features of cryptology, cryptography, and cryptanalysis in addition to complicated functions. The papers are prepared in topical sections on protection, proofs, and versions, hash cryptanalysis, workforce and broadcast encryption, cryptosystems, cryptanalysis, part channels, curves, and randomness.

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Read Online or Download Advances in Cryptology - EUROCRYPT 2009: 28th Annual International Conference on the Theory and Applications of Cryptographic Techniques, Cologne, Germany, April 26-30, 2009. Proceedings PDF

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Extra resources for Advances in Cryptology - EUROCRYPT 2009: 28th Annual International Conference on the Theory and Applications of Cryptographic Techniques, Cologne, Germany, April 26-30, 2009. Proceedings

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Since no progress has been made for general models of computation, it is interesting to investigate reasonable restricted models of computation and prove that in such a model factoring is equivalent to the RSA problem. In a restricted model one assumes that only certain kinds of operations are allowed. Shoup [23], based on the work of Nechaev [20], introduced the concept of generic algorithms which are algorithms that do not exploit any property of the representation of the elements. They proved lower bounds on the complexity of computing discrete logarithms in cyclic groups in the context of generic algorithms.

V0 and V1 are set to be (1, 1) and (x, 1) respectively. The operations in {+, −, ·, /} are defined on ZN × ZN as follows (for α, β, γ, δ ∈ ZN ): ⎧ (αδ + βγ, βδ) if ⎪ ⎪ ⎨ (αδ − βγ, βδ) if (α, β) ◦ (γ, δ) = (αγ, βδ) if ⎪ ⎪ ⎩ (αδ, βγ) if ◦ ◦ ◦ ◦ is is is is + − · / If (α, β) and (γ, δ) are queried for equality, 1 is returned if αδ = βγ, and 0 otherwise. The interpretation of B is that if an internal state variable in B takes a value (α, β) then, on inputting the same sequence of operations to B, the corresponding internal state variable in B takes the value α/β if there was no “exception”.

In this model, for example, GRAs on ZN correspond to Π = {+, −, ·, /} and Σ = {=}. , no equality tests are possible. Many results in the literature are restricted in that they exclude the inverse operations, but since these operations are easy3 to perform in ZN , they should be included as otherwise the results are of relatively limited interest. Note that division by non-invertible elements of ZN is not defined. This can be modeled in the above generic model by having the black-box B send an “exception” bit b to the algorithm and leaving the corresponding state variable undefined whenever there is a division by a non-invertible element.

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