By Alex Biryukov, Adi Shamir (auth.), Tatsuaki Okamoto (eds.)
ASIACRYPT 2000 was once the 6th annual ASIACRYPT convention. It used to be sp- sored by means of the overseas organization for Cryptologic learn (IACR) in - operation with the Institute of Electronics, info, and conversation Engineers (IEICE). The ?rst convention with the identify ASIACRYPT came about 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 subsidized by means of IACR. The convention got a hundred and forty submissions (1 submission used to be withdrawn by way of the authors later), and this system committee chosen forty five of those for presen- tion. prolonged abstracts of the revised types of those papers are integrated in those court cases. this system additionally integrated invited lectures by way of Thomas Berson (Cryptography all over: IACR wonderful Lecture) and Hideki Imai (CRYPTREC undertaking – Cryptographic overview venture for the japanese digital Government). Abstracts of those talks are integrated in those proce- ings. The convention application additionally integrated its conventional “rump consultation” of brief, casual or impromptu shows, kindly chaired by way of Moti Yung. these p- sentations aren't re?ected in those complaints. the choice of this system used to be a not easy job as many top of the range submissions have been obtained. this system committee labored very demanding to guage the papers with recognize to caliber, originality, and relevance to cryptography. i'm tremendous thankful to this system committee individuals for his or her en- mous funding of time and e?ort within the di?cult and gentle means of evaluate and selection.
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Extra resources 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
Pointcheval, “PSEC-3: Provably Secure Elliptic Curve Encryption Scheme”, Submission to IEEE P1363a, 2000. 14. P. v Oorschot, M. J. Wiener, “On Diﬃe-Hellman Key Agreement With Short Exponents”, Proc. Eurocrypt ’96, LNCS 1070, Springer-Verlag, 1996. 15. PKCS1, “Public Key Cryptography Standard No. 0”, RSA Labs. 16. D. Pointcheval, “Chosen-Ciphertext Security for any One-Way Cryptosystem”, Proc. PKC ’2000, LNCS 1751, Springer-Verlag, 2000. 17. R. L. , A. Shamir, L. M. Adleman “ A method for obtaining digital signatures and public-key cryptosystems”, Communications of the ACM, 21(2):120–126, 1978.
Scheme size of n size of p size of e size of d m t a lattice rank running time I 1024 256 1024 192 3 1 1 20 40 seconds III 1024 256 880 256 2 2 0 15 9 seconds These tests were run on a 500MHz Pentium III running Solaris. 6 Conclusions and Open Problems We showed that unbalanced RSA  actually improves the attacks on short secret exponent by allowing larger exponent. This enabled us to break most of the RSA schemes  with short secret exponent from Asiacrypt ’99. The attack extends the Boneh-Durfee attack  by using a “trivariate” version of Coppersmith’s lattice-based technique for ﬁnding small roots of low-degree modular polynomial equations.
R. Sakai, M. Morii, and M. Kasahara. New key generation algorithm for RSA cryptosystem. IEICE Trans. Fundamentals, E77-A(1):89–97, 1994. 15. A. Shamir. RSA for paranoids. RSA Laboratories CryptoBytes, 1(3):1–4, 1995. 16. V. Shoup. 6. net/ntl/. 17. C. L. Siegel. Lectures on the Geometry of Numbers. Springer-Verlag, 1989. 18. -M. Sun, W-C. -S. Laih. On the design of RSA with short secret exponent. In Proc. of Asiacrypt ’99, volume 1716 of LNCS, pages 150–164. IACR, Springer-Verlag, 1999. 19. E. Verheul and H.
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.)