Advances in Cryptology – EUROCRYPT 2011: 30th Annual by Ronald Cramer (auth.), Kenneth G. Paterson (eds.)

By Ronald Cramer (auth.), Kenneth G. Paterson (eds.)

This booklet constitutes the refereed complaints of the thirtieth Annual foreign convention at the concept and purposes of Cryptographic ideas, EUROCRYPT 2011, held in Tallinn, Estonia, in may well 2011.
The 31 papers, awarded including 2 invited talks, have been rigorously reviewed and chosen from 167 submissions. The papers are prepared in topical sections on lattice-base cryptography, implementation and aspect channels, homomorphic cryptography, signature schemes, information-theoretic cryptography, symmetric key cryptography, assaults and algorithms, safe computation, composability, key established message safeguard, and public key encryption.

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Extra info for Advances in Cryptology – EUROCRYPT 2011: 30th Annual International Conference on the Theory and Applications of Cryptographic Techniques, Tallinn, Estonia, May 15-19, 2011. Proceedings

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In the following, an ideal lattice will implicitly refer to a Φ-ideal lattice. By restricting SVP (resp. γ-SVP) to instances that are ideal lattices, we obtain Ideal-SVP (resp. γ-Ideal-SVP). The latter is implicitly parameterized by the Making NTRU as Secure as Worst-Case Problems over Ideal Lattices 33 sequence of polynomials Φn = xn + 1, where n is restricted to powers of 2. No algorithm is known to perform non-negligibly better for (γ-)Ideal-SVP than for (γ-)SVP. Properties of the ring R. For v ∈ R we denote by v its Euclidean norm (as a vector).

MAC2 has the following public parameters. , τ, τ , n as in the authentication protocol from Section 3 μ ∈ N output length of the hash function ν ∈ N length of the randomness – Key generation. Algorithm KG(1λ ) samples si ← Z2 (for 0 ≤ i ≤ μ) and chooses a pairwise independent hash function h : M × Zν2 → Zμ2 , as well as a pairwise independent permutation π over Z2×n+n+ν . It returns K = (s0 , . . , sμ , h, π) as the secret key. $ 24 E. Kiltz et al. – Tagging. Given secret key K = (s0 , . . , sμ , h, π) and message m ∈ M, algorithm TAG proceeds as follows.

Thus B O can distinguish between the two oracles with advantage ε := ε − Q · α ,d − ατ ,n as claimed in the statement of the Theorem. Below we define B O . Setup. Initially, B O samples x∗ ← Z22 , $ v∗ ← {y ∈ Z22 : wt(y) = }. $ The intuition of our simulation below is as follows. Let us first assume O is ∗ a subset LPN oracle Γτ,2 ,d (x, ·) with secret x. In the first phase we have to produce answers (R, z) to a query v ∈ {y ∈ Z22 : wt(y) = } by A. 4) Thus one part of s’s bits come from x∗ , and the other part is from the unknown secret x (for which we use the oracle O).

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