By Martin Hirt, Ueli Maurer, Vassilis Zikas (auth.), Josef Pieprzyk (eds.)
This publication constitutes the refereed court cases of the 14th foreign convention at the conception and alertness of Cryptology and data safety, ASIACRYPT 2008, held in Melbourne, Australia, in December 2008.
The 33 revised complete papers offered including the summary of one invited lecture have been rigorously reviewed and chosen from 208 submissions. The papers are prepared in topical sections on muliti-party computation, cryptographic protocols, cryptographic hash capabilities, public-key cryptograhy, lattice-based cryptography, private-key cryptograhy, and research of circulation ciphers.
Read Online or Download Advances in Cryptology - ASIACRYPT 2008: 14th International Conference on the Theory and Application of Cryptology and Information Security, Melbourne, Australia, December 7-11, 2008. Proceedings PDF
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Additional info for Advances in Cryptology - ASIACRYPT 2008: 14th International Conference on the Theory and Application of Cryptology and Information Security, Melbourne, Australia, December 7-11, 2008. Proceedings
We refer to the resulting MPC protocol as CompMPC. Lemma 17. Protocol CompMPC is computationally Z-secure if C (1) (P, Z) holds. 8 Conclusions We considered MPC and SFE in the presence of a general adversary who can actively, passively, and fail corrupt players, simultaneously. For both primitives we gave exact characterizations of the tolerable adversary structures for achieving unconditional (aka statistical) and computational security, when a broadcast channel is given. As in the case of threshold adversaries, the achieved bounds are strictly better than those required for perfect security, where no error probability is allowed.
Theorem 1 (Beimel ). Suppose AS is an access structure over P and fAS is the characteristic function of AS, that is, fAS (δ) = 1 if and only if δ = δ A for some A ∈ AS. Then there exists an LSSS of size d that realizes AS if and only if there exists an MSP of size d that computes fAS . Since an MSP computes the same Boolean function under linear transformations, we can always assume that the target vector is e1 = (1, 0, . . , 0). From an MSP M(K, M, ψ, e1 ) that computes fAS , we can derive an LSSS realizing AS as follows: to share a secret s ∈ K, the dealer randomly selects ρ ∈ Kl−1 , computes M (s, ρ)τ and sends MPi (s, ρ)τ to Pi as his share, where 1 ≤ i ≤ n and τ denotes the transpose.
We believe that the construction and veriﬁcation of 3-multiplicative LSSS are easier than those of strongly multiplicative LSSS. This presents a step forward in settling the open problem of eﬃcient constructions of strongly multiplicative LSSS from general LSSS. Keywords: monotone span program, secure multi-party computation, strongly multiplicative linear secret sharing scheme. 1 Introduction Secure multi-party computation (MPC) [16,9] is a cryptographic primitive that enables n players to jointly compute an agreed function of their private inputs in a secure way, guaranteeing the correctness of the outputs as well as the privacy of the players’ inputs, even when some players are malicious.
Advances in Cryptology - ASIACRYPT 2008: 14th International Conference on the Theory and Application of Cryptology and Information Security, Melbourne, Australia, December 7-11, 2008. Proceedings by Martin Hirt, Ueli Maurer, Vassilis Zikas (auth.), Josef Pieprzyk (eds.)