Read e-book online Advances in Cryptology - ASIACRYPT 2008: 14th International PDF

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

ISBN-10: 3540892540

ISBN-13: 9783540892540

This booklet constitutes the refereed lawsuits of the 14th overseas convention at the conception and alertness of Cryptology and data safeguard, ASIACRYPT 2008, held in Melbourne, Australia, in December 2008.

The 33 revised complete papers provided including the summary of one invited lecture have been rigorously reviewed and chosen from 208 submissions. The papers are equipped in topical sections on muliti-party computation, cryptographic protocols, cryptographic hash capabilities, public-key cryptograhy, lattice-based cryptography, private-key cryptograhy, and research of circulate ciphers.

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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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Extra 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

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Strongly multiplicative ramp schemes from high degree rational points on curves. P. ) EUROCRYPT 2008. LNCS, vol. 4965, pp. 451–470. Springer, Heidelberg (2008) 6. : General secure multi-party computation from any linear secret-sharing scheme. In: Preneel, B. ) EUROCRYPT 2000. LNCS, vol. 1807, pp. 316–334. Springer, Heidelberg (2000) 7. : On codes, matroids and secure multi-party computation from linear secret sharing schemes. In: Shoup, V. ) CRYPTO 2005. LNCS, vol. 3621, pp. 327– 343. Springer, Heidelberg (2005) 8.

Here, we give another general construction based on multiplicative LSSS. Let AS be any Q3 access structure and M(K, M, ψ, e1 ) be an LSSS realizing AS. For all A ∈ A = 2P − AS, it is easy to see that MA realizes the restricted access structure ASA = {B ⊆ A | B ∈ AS}. The access structure ASA is Q2 over A because AS is Q3 over A ∪ A. Thus, we can transform MA into a multiplicative LSSS following the general construction of Cramer et al. [6] to obtain a strongly multiplicative LSSS realizing AS. 3 gives an illustration of this method.

For consistency, we define MP1 = (MP1 O3×4 ), MP3 = (MP3 O2×4 ), where Om×n denotes the m × n matrix of all zeros. It can be verified that for the subset P = {P2 , P3 , P5 , P6 }, the constricted LSSS MP is indeed multiplicative. Therefore, M (F2 , M , ψ , e1 ) is a strongly multiplicative LSSS realizing the access structure AS. Furthermore, it can be verified that M is not 3-multiplicative (the verification involves checking a 443 × 729 matrix using Matlab). The scheme M(F2 , M, ψ, v 1 ) given above is the first example of an LSSS which realizes a Q3 access structure but is not strongly multiplicative.

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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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