By Martin Hirt, Ueli Maurer, Vassilis Zikas (auth.), Josef Pieprzyk (eds.)

ISBN-10: 3540892540

ISBN-13: 9783540892540

This e-book constitutes the refereed lawsuits of the 14th foreign convention at the concept and alertness of Cryptology and data protection, ASIACRYPT 2008, held in Melbourne, Australia, in December 2008.

The 33 revised complete papers provided including the summary of one invited lecture have been conscientiously reviewed and chosen from 208 submissions. The papers are geared up in topical sections on muliti-party computation, cryptographic protocols, cryptographic hash services, public-key cryptograhy, lattice-based cryptography, private-key cryptograhy, and research of movement 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**

**Sample text**

1). It follows that s1 s2 s3 = nj=1 s1j s2j s3j , which shows that the LSSS from R(r, m) is 3-multiplicative when m > 3r. Certainly, this LSSS is strongly multiplicative. In general, we have the following result: Theorem 4. The LSSS constructed above from R(r, m) is λ-multiplicative, provided m > λr. 2 A Construction from Algebraic Geometric Codes Chen and Cramer [3] constructed secret sharing schemes from algebraic geometric (AG) codes. These schemes are quasi-threshold (or ramp) schemes, which means that any t out of n players can recover the secret, and any fewer than t players have no information about the secret, where t ≤ t ≤ n.

Xn ) := x1 · . . · xn where the input of party Pi is xi ∈ G for i ∈ {1, . . , n}. In such a protocol, no colluding sets C of at most t participants learn anything about the data hold by any of the remaining members {P1 , . . , Pn } \ C. Desmedt et al. obtained three important results. First, if t ≥ n2 (dishonest majority) then it is impossible to construct a t-private protocol to compute fG . Second, if t < n2 then one can always design a deterministic t-private protocol computing fG with an 2 exponential communication complexity of O(n 2 t+1 ) group elements.

Thus ss = z (MA (s, ρ)τ strongly multiplicative. MA (s , ρ )τ ) MA (s , ρ )τ ). Hence, M is Although 3-multiplicative LSSS is a subclass of strongly multiplicative LSSS, one of the advantages of 3-multiplicativity is that its veriﬁcation admits a simpler process. For 3-multiplicativity, we need only to check that e1 ∈ span{(M M M )}, 30 Z. Zhang et al. while strong multiplicativity requires the veriﬁcation of e1 ∈ span{(M M )A } for all A ∈ AS. Using a similar argument, the following results for (λ + 1)-multiplicativity can be proved: (i) A (λ + 1)-multiplicative LSSS is a strongly λ-multiplicative LSSS.

### 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.)

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