Advances in Cryptology - ASIACRYPT 2003: 9th International by Duong Hieu Phan, David Pointcheval (auth.), Chi-Sung Laih

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

This publication constitutes the refereed court cases of the ninth overseas convention at the conception and alertness of Cryptology and knowledge defense, ASIACRYPT 2003, held in Taipei, Taiwan in November/December 2003.

The 32 revised complete papers offered 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 conception, effective implementations, key administration and protocols, hash capabilities, crew signatures, block cyphers, broadcast and multicast, foundations and complexity thought, and electronic signatures.

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Extra 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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372-384, 1997. 1 Basic Result Let ZERO(n, e, α) be the set of ciphertexts for m = 0 and ALL(n, e, α) be the set of ciphertexts for all m ∈ Zn . That is, α r α ALL(n, e, α) = { r + r ZERO(n, e, α) = { r + e mod n2 | r ∈ Zn∗ is principal} e + mn mod n2 | m ∈ Zn and r ∈ Zn∗ is principal}. 34 Kaoru Kurosawa and Tsuyoshi Takagi Define Reciprocal0 (n, e, α) = {(n, e, α, x) | x ∈ ZERO(n, e, α)} ReciprocalALL (n, e, α) = {(n, e, α, x) | x ∈ ALL(n, e, α)} Note that we have Reciprocal0 (n, e, α) = SM ALLRSAK (n, e, α) from their definition.

S. ): ASIACRYPT 2003, LNCS 2894, pp. 37–54, 2003. a. decryption key). But in practice, there is often a natural hierarchy, either for security or for safety reasons: the head of a group may want to be able to read any message sent to the members of the group, people may want to be able to recover the plaintexts even if they loose their private key. Therefore, it is highly desirable to provide schemes that enable to deal with intermediate scenarios, in which users are allowed to process their own data, but not those of other users.

PhD Thesis, Yale University, 1987. 2. D. Boneh. The decision Diffie-Hellman problem. In Proc. of the 3rd ANTS, LNCS 1423, pp. 48–63, Springer-Verlag, June 1998. 3. F. A. W. Krentel. A Discrete Logarithm Implementation of Perfect Zero-Knowledge Blobs. Journal of Cryptology, 2(2):63–76, 1990. 4. G. Brassard, D. Chaum, and C. Cr´epeau. Minimum Disclosure Proofs of Knowledge. Journal of Computer and System Sciences, 37, 1988. A Simple Public-Key Cryptosystem 53 5. D. Catalano, R. Gennaro, N. Howgrave-Graham, and P.

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