By Duong Hieu Phan, David Pointcheval (auth.), Chi-Sung Laih (eds.)
This e-book constitutes the refereed court cases of the ninth foreign convention at the thought and alertness of Cryptology and data safeguard, ASIACRYPT 2003, held in Taipei, Taiwan in November/December 2003.
The 32 revised complete papers provided including one invited paper have been rigorously reviewed and chosen from 188 submissions. The papers are equipped in topical sections on public key cryptography, quantity conception, effective implementations, key administration and protocols, hash services, staff 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
Okamoto and D. Pointcheval. REACT: Rapid Enhanced-security Asymmetric Cryptosystem Transform. In CT – RSA ’01, LNCS 2020, pages 159–175. SpringerVerlag, Berlin, 2001. 20. T. Okamoto and S. Uchiyama. The Gap-Problems: A new class of problems for the security of cryptographic schemes. In Proc. of PKC ’01, volume 1992 of LNCS. IACR, Springer-Verlag, 1998. 21. P. Paillier. Public-Key Cryptosystems Based on Discrete Logarithms Residues. In Eurocrypt ’99, LNCS 1592, pages 223–238. Springer-Verlag, Berlin, 1999.
We will show an adversary B = (B1 , B2 ) which breaks our encryption scheme in the sense of IND-CPA, where B1 works in the ﬁnd stage and B2 works in the guess stage. Some RSA-Based Encryption Schemes with Tight Security Reduction 35 On input pk = (n, e, α), B1 outputs m0 = 0 and m1 ∈ Zn , where m1 is randomly chosen from Zn . For a given ciphertext cb , B2 gives (n, e, α, cb ) to D, where cb is a ciphertext of mb . Note that c0 is randomly chosen from ZERO(n, e, α) and c1 is randomly chosen from ALL(n, e, α).
Therefore, they are all in G too. 2 The Partial Discrete Logarithm Problem Let g be an element of maximal order in G. For simplicity, we assume that g λ(N ) mod N 2 = (1 + N ) mod N 2 , that is k = 1. Given g and h = g a mod N 2 (for some a ∈ [1, ord(G)]), Paillier  deﬁned the Partial Discrete Logarithm Problem as the computational problem of computing a mod N . We assume this A Simple Public-Key Cryptosystem 41 problem is diﬃcult (without the factorization of the modulus), as stated in the following assumption.
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.)