Advances in Cryptology — ASIACRYPT 2000: 6th International by Alex Biryukov, Adi Shamir (auth.), Tatsuaki Okamoto (eds.)

By Alex Biryukov, Adi Shamir (auth.), Tatsuaki Okamoto (eds.)

ASIACRYPT 2000 used to be the 6th annual ASIACRYPT convention. It was once sp- sored via the foreign organization for Cryptologic study (IACR) in - operation with the Institute of Electronics, details, and verbal exchange 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 way of IACR. The convention acquired a hundred and forty submissions (1 submission used to be withdrawn by means of the authors later), and this system committee chosen forty five of those for presen- tion.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 lawsuits. this system additionally incorporated invited lectures through Thomas Berson (Cryptography all over: IACR distinctive Lecture) and Hideki Imai (CRYPTREC venture – Cryptographic assessment venture for the japanese digital Government). Abstracts of those talks are integrated in those proce- ings. The convention software additionally integrated its conventional “rump consultation” of brief, casual or impromptu displays, kindly chaired via Moti Yung. these p- sentations usually are not re?ected in those lawsuits. the choice of this system used to be a difficult activity as many prime quality submissions have been acquired. this system committee labored very not easy to guage the papers with admire 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 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

Sample text

The more unbalanced p and q are, the smaller d can be. 2. Randomly select the secret exponent d such that log2 d + log2 p > 13 log2 N √ and d > 2γ p, where γ is the security parameter (larger than 64). 3. If the public exponent e defined by ed ≡ 1 (mod φ(N )) is not larger than φ(N )/2, one restarts the previous step. A choice of parameters suggested by the authors is: p is a 256-bit prime, q is a 768-bit prime, d is a 192-bit number. Note that 192 is far below Wiener’s bound (256 bits) and Boneh-Durfee’s bound (299 bits).

The polynomials used are listed on the left, and the monomials they introduce are listed across the top. The double line break occurs between the gk,i,b and the hk,j , while the single line breaks occur between increments of k. The last single line break separates the helper polynomials (top) from the two primary polynomials (bottom). norm that is low enough to use Lemma 2. Therefore these polynomials will have (k, p, q) as a solution over the integers. To turn these into bivariate equations, we use the equality z = N/y to get H1 (x, y) and H2 (x, y) which have (k, p) as a solution over the integers.

D. Bleichenbacher. On the security of the KMOV public key cryptosystem. In Proc. of Crypto ’97, volume 1294 of LNCS, pages 235–248. IACR, Springer-Verlag, 1997. Cryptanalysis of the RSA Schemes with Short Secret Exponent 27 2. D. Boneh. Twenty years of attacks on the RSA cryptosystem. Notices of the AMS, 46(2):203–213, 1999. 3. D. Boneh and G. Durfee. 292 . In Proc. of Eurocrypt ’99, volume 1592 of LNCS, pages 1–11. IACR, Springer-Verlag, 1999. 4. S. Cavallar, B. Dodson, A. K. Lenstra, W. Lioen, P.

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