Read e-book online Advances in Cryptology - ASIACRYPT 2003: 9th International PDF

By Duong Hieu Phan, David Pointcheval (auth.), Chi-Sung Laih (eds.)

ISBN-10: 3540205926

ISBN-13: 9783540205920

This publication constitutes the refereed complaints of the ninth foreign convention at the conception and alertness of Cryptology and data defense, ASIACRYPT 2003, held in Taipei, Taiwan in November/December 2003.

The 32 revised complete papers provided including one invited paper have been conscientiously reviewed and chosen from 188 submissions. The papers are prepared in topical sections on public key cryptography, quantity thought, effective implementations, key administration and protocols, hash features, team signatures, block cyphers, broadcast and multicast, foundations and complexity concept, and electronic signatures.

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Read Online or Download Advances in Cryptology - ASIACRYPT 2003: 9th International Conference on the Theory and Application of Cryptology and Information Security, Taipei, Taiwan, November 30 – December 4, 2003. Proceedings PDF

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Additional resources for Advances in Cryptology - ASIACRYPT 2003: 9th International Conference on the Theory and Application of Cryptology and Information Security, Taipei, Taiwan, November 30 – December 4, 2003. Proceedings

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Z (modN ) X = g mod N ; Y = g mod N ; Z = g xy mod N 2 ; Theorem 9 (One-wayness). The scheme presented in section 3, is one-way if and only if the Lift Diffie-Hellman problem is hard. Proof. For g, h ∈ G, let (N, g, h) be a public key, and (A, B) = (g r , hr (1 + mN )) mod N 2 an encryption of a random message m. If one can efficiently solve the Lift Diffie-Hellman problem then, on input X = A = g r , Y = h and z = hr (1+mN ) mod N = hr mod N , one can compute the quantity Z = hr mod N 2 from which retrieving m is trivial.

Mod N ) = b Z  b Z0 = g z mod N 2 ; Z1 = g xy mod N 2 ;  b ← {0, 1}; The Decisional Diffie-Hellman Assumption is related to the regular DiffieHellman assumption that says that given g a and g b one cannot compute g ab in polynomial time. Clearly this assumption relies on the hardness of computing A Simple Public-Key Cryptosystem 43 discrete logs. Reductions in the inverse direction are not known. Interestingly enough, if the factorization of the modulus is available solving the decisional Diffie-Hellman problem (over ZN 2 ) turns out to be easy.

Clearly this assumption relies on the hardness of computing A Simple Public-Key Cryptosystem 43 discrete logs. Reductions in the inverse direction are not known. Interestingly enough, if the factorization of the modulus is available solving the decisional Diffie-Hellman problem (over ZN 2 ) turns out to be easy. Theorem 4. Let N be a composite modulus product of two large primes. Let G be the cyclic group of quadratic residues modulo N 2 . The decisional DiffieHellman problem (in G) cannot be harder than factoring.

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Advances in Cryptology - ASIACRYPT 2003: 9th International Conference on the Theory and Application of Cryptology and Information Security, Taipei, Taiwan, November 30 – December 4, 2003. Proceedings by Duong Hieu Phan, David Pointcheval (auth.), Chi-Sung Laih (eds.)


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