By Arjen K. Lenstra (auth.), Kazuo Ohta, Dingyi Pei (eds.)
ASIACRYPT’98, the overseas convention protecting all facets of thought and alertness of cryptology and data defense, is being held at Beijing Friendship resort from October 18 to 22. this can be the fourth of the Asiacrypt meetings. ASIACRYPT’98 is subsidized by way of the nation Key Laboratory of data defense (SKLOIS), collage of technology and expertise of China (USTC), and the Asiacrypt steerage Committee (ASC), in cooperation with the foreign organization for Cryptology examine (IACR). The 16-member application Committee geared up the clinical software and regarded 118 submissions. of those, 32 have been authorized for presentation. The authors’ affiliations of the 118 submissions and the 32 permitted papers variety over 18 and thirteen nations or areas, respectively. The submitted model of every paper used to be despatched to all individuals of this system Committee and used to be widely tested via at the least 3 committee participants and/or open air specialists. The overview approach was once carefully blinded and the anonymity of every submission are maintained till the choice was once 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 models of the 32 contributed talks in addition to a brief notice written by way of one invited speaker. reviews from this system Committee have been taken into consideration within the revisions. even if, 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
In Proc. of the 21st STOC, pages 62–72. ACM Press, 1989. 10. C. Cocks. Split Knowledge Generation of RSA Parameters. In Cryptography and Coding: Proceedings of 6th IMA Conference, LNCS 1355, pages 89–95. SpringerVerlag, 1997. 11. C. Cocks. Split Generation of RSA Parameters with Multiple Participants. Technical report, 1998. uk. 12. C. Cr´epeau and J. Kilian. Achieving Oblivious Transfer Using Weakened Security Assumptions. In Proc. of the 29th FOCS, pages 42–52. IEEE, 1988. 13. C. Cr´epeau, J.
At the end of the section we note that the attack heuristically works for almost all e in the range [2t , 2t+1 ]. Theorem 8. 2, let t be an integer in the range [0 . . n/2]. Suppose e is in the range [2t . . 2t+1 ]. Further suppose k > · e for some > 0. Then there is an algorithm that given the n − t most significant bits of d finds all of d. The algorithm runs in time O(n3 / ). Proof. Given the n − t most significant bits of d we can construct a d0 such that 0 ≤ d − d0 < 2t . Since e < 2n/2 we can use d0 and Theorem 6 to limit k to a constant size interval.
Once the correct values of v and k are found d is exposed. Testing each candidate d takes O(n3 ) time and there are O(1/ ) candidates to try out. Theorem 8 works without having to know the factorization of e. Unfortunately, the results are not as strong as in the previous section. When e is close to N 1/4 Theorem 8 implies that 3/4 of the bits of d are needed to reconstruct d. This is much worse than the corresponding bound achieved in the previous section, where only 1/4 the bits were required.