Advances in Cryptology — EUROCRYPT 2001: International by Frederik Vercauteren, Bart Preneel, Joos Vandewalle (auth.), PDF

By Frederik Vercauteren, Bart Preneel, Joos Vandewalle (auth.), Birgit Pfitzmann (eds.)

EUROCRYPT 2001, the twentieth annual Eurocrypt convention, was once subsidized by means of the IACR, the foreign organization for Cryptologic examine, see http://www. iacr. org/, this 12 months in cooperation with the Austrian laptop - ciety (OCG). the final Chair, Reinhard Posch, was once liable for neighborhood or- nization, and registration was once dealt with by means of the IACR Secretariat on the college of California, Santa Barbara. as well as the papers contained in those court cases, we have been happy that the convention application additionally incorporated a presentation through the 2001 IACR d- tinguished lecturer, Andrew Odlyzko, on “Economics and Cryptography” and an invited speak via Silvio Micali, “Zero wisdom Has Come of Age. ” additionally, there has been the rump consultation for displays of contemporary effects and different (p- sibly satirical) subject matters of curiosity to the crypto neighborhood, which Jean-Jacques Quisquater kindly agreed to run. this system Committee got one hundred fifty five submissions and chosen 33 papers for presentation; one in every of them was once withdrawn by way of the authors. The evaluation method used to be accordingly a fragile and tough job for the committee individuals, and that i desire to thank them for the entire e?ort they spent on it. each one committee member was once accountable for the assessment of no less than 20 submissions, so each one paper was once conscientiously evaluated by way of at the least 3 reviewers, and submissions with a software committee member as a (co-)author by means of at the very least six.

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Extra resources for Advances in Cryptology — EUROCRYPT 2001: International Conference on the Theory and Application of Cryptographic Techniques Innsbruck, Austria, May 6–10, 2001 Proceedings

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The other attacks are algorithms that run in time O( N ). They include Shanks’ baby-step giant-step algorithm (see [Coh96]) and Pollard’s ρ method [Pol78]. In practice, the most difficult ECDL that has been computed is on a Koblitz curve over F2109 using a distributed version of Pollard–ρ [Har00]. By extrapolating the work required to larger sizes and allowing safety margins for future increases in computing power, it is generally believed (see [FIPS186], [LV00], [P1363], [Sil00]) that a random curve whose order is divisible by a prime of at least 160 bits will offer reasonable security, comparable to 80-bit symmetric systems or 1024-bit RSA.

In L. C. -J. Quisquater, editors, Advances in Cryptology – EUROCRYPT ’95, volume 921 of Lecture Notes in Comput. , pages 79–94, 1995. International Conference on the Theory and Application of Cryptographic Techniques, Saint-Malo, France, May 1995, Proceedings. J. Lubin, J. P. Serre, and J. Tate. Elliptic curves and formal groups. In Lecture notes prepared in connection with the seminars held at the Summer Institute on Algebraic Geometry, Whitney Estate, Woods Hole, Massachusetts, July 6-July 31, 1964, 1964.

The most frequent operation is multiplication in Fq . We give relevant timings obtained on the 750 MHz Alpha in Table 1. Table 1. Cost of a multiplication in Fq on a 750 MHz EV6 Alpha. 685 µs The most frequent operation in the point-counting part is multiplication in Zq . , d/2 +3 bits, for various field sizes d. These measurements were also done on the 750 MHz Alpha. 22 Mireille Fouquet, Pierrick Gaudry, and Robert Harley Table 2. Cost of a multiplication in Zq on a 750 MHz EV6 Alpha. 0 ms Table 3.

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