Download e-book for iPad: Advances in Cryptology — ASIACRYPT’98: International by Arjen K. Lenstra (auth.), Kazuo Ohta, Dingyi Pei (eds.)

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By Arjen K. Lenstra (auth.), Kazuo Ohta, Dingyi Pei (eds.)

ISBN-10: 3540651098

ISBN-13: 9783540651093

ASIACRYPT’98, the overseas convention protecting all features of conception and alertness of cryptology and knowledge safety, is being held at Beijing Friendship inn from October 18 to 22. this is often the fourth of the Asiacrypt meetings. ASIACRYPT’98 is backed by means of the country Key Laboratory of knowledge safeguard (SKLOIS), collage of technology and know-how of China (USTC), and the Asiacrypt steerage Committee (ASC), in cooperation with the overseas organization for Cryptology study (IACR). The 16-member application Committee equipped the clinical application and regarded 118 submissions. of those, 32 have been authorized for presentation. The authors’ affiliations of the 118 submissions and the 32 authorised papers diversity over 18 and thirteen international locations or areas, respectively. The submitted model of every paper used to be despatched to all individuals of this system Committee and used to be greatly tested via at the least 3 committee contributors and/or open air specialists. The overview technique used to be conscientiously blinded and the anonymity of every submission are maintained till the choice used to be accomplished. We the conventional coverage that every member of this system Committee should be an writer of at so much one approved paper. those lawsuits comprise the revised types of the 32 contributed talks in addition to a quick notice written by means of one invited speaker. reviews from this system Committee have been taken under consideration within the revisions. despite the fact that, the authors (not the committee) undergo complete accountability for the contents in their papers.

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Extra info for Advances in Cryptology — ASIACRYPT’98: International Conference on the Theory and Application of Cryptology and Information Security Beijing, China, October 18–22, 1998 Proceedings

Example text

1. Suppose e is a prime in the range [2t . . 2t+1 ] with n4 ≤ t ≤ n2 . Then given the t most significant bits of d there is a polynomial time (in n) algorithm to compute all of d. 2. More generally, suppose e ∈ [2t . . 2t+1 ] is the product of at most r distinct primes with n4 ≤ t ≤ n2 . Then given the factorization of e and the t most significant bits of d there is an algorithm to compute all of d in polynomial time in n and 2r . 3. When the factorization of e is unknown, we obtain a weaker result.

The present article does not settle the question once and for all. Nevertheless, it gives arguments for both opinions. On the one hand, we have shown how to break some schemes for which no cryptanalysis had been given before.

Wiener, “Cryptanalysis of short RSA secret exponents”, IEEE Transactions on Info. , Vol. 36, No. 3, 1990, pp. 553–558. ∗ C−+ and HM : Variations Around Two Schemes of T. Matsumoto and H. fr Abstract. In [4], H. Imai and T. Matsumoto presented new candidate trapdoor one-way permutations with a public key given as multivariate polynomials over a finite field. One of them, based on the idea of hiding a monomial field equation, was later presented in [7] under the name C ∗ . It was broken by J. Patarin in [8].

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Advances in Cryptology — ASIACRYPT’98: International Conference on the Theory and Application of Cryptology and Information Security Beijing, China, October 18–22, 1998 Proceedings by Arjen K. Lenstra (auth.), Kazuo Ohta, Dingyi Pei (eds.)


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