By Alex Biryukov, Adi Shamir (auth.), Tatsuaki Okamoto (eds.)
ASIACRYPT 2000 used to be the 6th annual ASIACRYPT convention. It was once sp- sored by way of the foreign organization for Cryptologic examine (IACR) in - operation with the Institute of Electronics, details, and communique Engineers (IEICE). The ?rst convention with the identify ASIACRYPT happened in 1991, and the sequence of ASIACRYPT meetings have been held in 1994, 1996, 1998, and 1999, in cooperation with IACR. ASIACRYPT 2000 used to be the ?rst convention within the sequence to be backed through IACR. The convention bought a hundred and forty submissions (1 submission was once withdrawn by way of the authors later), and this system committee chosen forty five of those for presen- tion. prolonged abstracts of the revised models of those papers are integrated in those lawsuits. this system additionally incorporated invited lectures through Thomas Berson (Cryptography in all places: IACR exclusive Lecture) and Hideki Imai (CRYPTREC venture – Cryptographic evaluate venture for the japanese digital Government). Abstracts of those talks are incorporated in those proce- ings. The convention application additionally integrated its conventional “rump consultation” of brief, casual or impromptu displays, kindly chaired by way of Moti Yung. these p- sentations aren't re?ected in those court cases. the choice of this system used to be a tough activity as many prime quality submissions have been got. this system committee labored very not easy to judge the papers with recognize to caliber, originality, and relevance to cryptography. i'm super thankful to this system committee individuals for his or her en- mous funding of time and e?ort within the di?cult and gentle strategy of evaluate and selection.
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Additional info for Advances in Cryptology — ASIACRYPT 2000: 6th International Conference on the Theory and Application of Cryptology and Information Security Kyoto, Japan, December 3–7, 2000 Proceedings
Batut, K. Belabas, D. Bernardi, H. Cohen, M. de/ntsw/pari/Welcome. 4. M. Bellare, P. Rogaway, “Optimal asymmetric encryption — how to encrypt using RSA”, Proc. Eurocrypt ’94, LNCS 950, Springer-Verlag, 1995. 5. D. Boneh, “The Decision Diﬃe-Hellman Problem”, Proc. ANTS-III, LNCS 1423, Springer-Verlag, 1998. 6. D. Boneh, “Twenty Years of Attacks on the RSA cryptosystem”, Notices of the AMS, 46(2):203–213, 1999. 7. -S. Coron, D. Naccache, J. P. Stern, “On the Security of RSA Padding”, Proc. of Crypto ’99, LNCS 1666, Springer-Verlag, pp.
Our attacks show the danger of using the system in this way. For proper security one must pre-process the message prior to encryption or modify the encryption mechanism. For example, one could use DHAES  or a result due to Fujisaki and Okamoto , or even more recently [16,13]. 3 Algorithms for Multiplicative Subgroup Rounding We are given an element u ∈ Zp of the form u = z · ∆ mod p where z is a random element of Gq and |∆| < 2m . Our goal is to ﬁnd ∆, which we can assume to be positive.
The second result applies to the usual method in which ElGamal is used in practice. The third result applies when ElGamal encryption is done in the entire group, however p−1 has a small smooth factor (a 64-bit smooth factor). The fourth result decreases the on-line work of both the second and the third results, provided an additional precomputation stage. It can optionally improve the time/memory trade-oﬀ. The third and fourth results assume that p − 1 contains a smooth factor: such a property was used in other attacks against discrete-log schemes (see [2,14] for instance).
Advances in Cryptology — ASIACRYPT 2000: 6th International Conference on the Theory and Application of Cryptology and Information Security Kyoto, Japan, December 3–7, 2000 Proceedings by Alex Biryukov, Adi Shamir (auth.), Tatsuaki Okamoto (eds.)