Download Advances in Cryptology — ASIACRYPT 2001: 7th International by Craig Gentry, Jakob Jonsson, Jacques Stern, Michael Szydlo PDF

By Craig Gentry, Jakob Jonsson, Jacques Stern, Michael Szydlo (auth.), Colin Boyd (eds.)

The origins of the Asiacrypt sequence of meetings may be traced again to 1990, while the ?rst Auscrypt convention was once held, even supposing the identify Asiacrypt was once ?rst used for the 1991 convention in Japan. beginning with Asiacrypt 2000, the convention is now certainly one of 3 annual meetings equipped through the Inter- tional organization for Cryptologic learn (IACR). the ongoing good fortune of Asiacrypt is in no small half as a result e?orts of the Asiacrypt steerage C- mittee (ASC) and the robust aid of the IACR Board of administrators. there have been 153 papers submitted to Asiacrypt 2001 and 33 of those have been permitted for inclusion in those court cases. The authors of each paper, no matter if authorized or now not, made a valued contribution to the luck of the convention. Sending out rejection noti?cations to such a lot of not easy operating authors is likely one of the so much disagreeable initiatives of this system Chair. The overview approach lasted a few 10 weeks and consisted of an preliminary refe- eing part by means of an in depth dialogue interval. My heartfelt thank you visit all participants of this system Committee who installed severe quantities of time to offer their professional research and evaluations at the submissions. All papers have been reviewed through not less than 3 committee contributors; in lots of instances, rather for these papers submitted by way of committee individuals, extra studies have been obt- ned. professional stories have been supplied via a military of exterior reviewers with no whom our judgements might were even more di?cult.

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Additional resources for Advances in Cryptology — ASIACRYPT 2001: 7th International Conference on the Theory and Application of Cryptology and Information Security Gold Coast, Australia, December 9–13, 2001 Proceedings

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For example, setting n = 20, we have 9600 bits (= 1200 bytes) of state, and we get 1120 bits at the cost of 20 inversions, which is 56 bits per inversion. Even this naive implementation is already quite fast. With a careful implementation, the cost of modular inversion can be as small as only a few multiplications [1]. Moreover, since we work in a relatively small field, the operations can be quite fast. Finally, we note that the modular inversions are independent of each other, so it is trivial to parallelize this computation.

Springer-Verlag, 2001. 6. Coppersmith, “Small solutions to polynomial equations, and low exponent RSA vulnerabilities”, J. of Cryptology, Vol. 10, pp. 233–260, 1997. 7. R. Cramer and V. Shoup, “A practical public key cryptosystem provably secure against adaptive chosen ciphertext attack”, in proc. Crypto ’98, pp. 13–25, 1998. 8. R. Cramer and V. Shoup, “Signature schemes based on the Strong RSA Assumption”, Proc. 6th ACM Conf. on Computer and Communications Security, 1999. 9. R. Gennaro. An improved pseudo-random generator based on discrete log.

The total weight of all these terms is d d d ... k1 =0 k2 =0 (d + k1 + k2 + . . kr ) = (d + 1)r · (d + rd/2) kr =0 Therefore, we have nd (d + 1)r terms, of total weight nd (d + 1)r · d(1 + r/2). On the other hand, we cannot have more relations than terms, and the weight of a relation cannot be more than d, so the total weight of the relations is 2 Clearly, this is not the only way to eliminate the unbounded variables. For example, we can solve different sets of relations for these unknowns, depending on the relation to which we want to substitute.

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