By Ronald Cramer (auth.), Kenneth G. Paterson (eds.)
This e-book constitutes the refereed court cases of the thirtieth Annual foreign convention at the conception and purposes of Cryptographic thoughts, EUROCRYPT 2011, held in Tallinn, Estonia, in may possibly 2011.
The 31 papers, offered 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 based message protection, and public key encryption.
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Extra resources 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
4 Message Authentication Codes In this section, we construct two message authentication codes whose security can be reduced to the LPN assumption. Our ﬁrst construction is based on the 2round authentication protocol from Section 3. We prove that if the LPN problem is ε-hard, then√no adversary making Q queries can forge a MAC with probability more than Θ( ε · Q). f. Remark 2. Our second construction has no such issues and achieves better security Θ(ε · Q). The eﬃciency of this construction is similar to that of the ﬁrst construction, but a larger key is required.
Hence this matrix is non-singular modulo q so the mapping from t to t is one-to-one. This provides the claim. Using the above bounds on N (B, d), the fact that the number of subsets of S of cardinality d is ≤ 2d , and the fact that the number of s ∈ Rq /IS divisible by h = i∈S Φi is q |S|−d , the above bound on p implies (2B)m(n−d) . d≤β·n (q − 1)(m−1)(|S|−d) p ≤ 2n max 38 D. Stehlé and R. Steinfeld With our choice of B, we have 2B ≤ (q − 1)β (this is implied by n ≥ 8, q ≥ 5 and β ≤ 1). A straightforward computation then leads to the claimed upper bound on p.
30]). G. ): Eurocrypt 2011, LNCS 6632, pp. 27–47, 2011. c International Association for Cryptologic Research 2011 28 D. Stehlé and R. Steinfeld In parallel to a rising number of attacks and practical improvements on NTRUEncrypt the (mainly) theoretical ﬁeld of provably secure lattice-based cryptography has steadily been developed. It originated in 1996 with Ajtai’s acclaimed worst-case to average-case reduction , leading to a collision-resistant hash function that is as hard to break as solving several worst-case problems deﬁned over lattices.
Advances in Cryptology – EUROCRYPT 2011: 30th Annual International Conference on the Theory and Applications of Cryptographic Techniques, Tallinn, Estonia, May 15-19, 2011. Proceedings by Ronald Cramer (auth.), Kenneth G. Paterson (eds.)