By Frederik Vercauteren, Bart Preneel, Joos Vandewalle (auth.), Birgit Pfitzmann (eds.)
EUROCRYPT 2001, the twentieth annual Eurocrypt convention, was once backed by way of the IACR, the foreign organization for Cryptologic study, see http://www. iacr. org/, this 12 months in cooperation with the Austrian machine - ciety (OCG). the overall Chair, Reinhard Posch, was once accountable for neighborhood or- nization, and registration used to be dealt with via the IACR Secretariat on the collage of California, Santa Barbara. as well as the papers contained in those court cases, we have been happy that the convention software additionally incorporated a presentation by means of 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 modern effects and different (p- sibly satirical) issues of curiosity to the crypto group, which Jean-Jacques Quisquater kindly agreed to run. this system Committee obtained a hundred and fifty five submissions and chosen 33 papers for presentation; considered one of them was once withdrawn by way of the authors. The evaluation procedure was once hence a fragile and difficult activity for the committee contributors, and that i desire to thank them for the entire e?ort they spent on it. every one committee member was once chargeable for the overview of not less than 20 submissions, so every one paper was once rigorously evaluated by way of not less than 3 reviewers, and submissions with a software committee member as a (co-)author via no less than six.
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Extra info for Advances in Cryptology — EUROCRYPT 2001: International Conference on the Theory and Application of Cryptographic Techniques Innsbruck, Austria, May 6–10, 2001 Proceedings
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. For applications with the highest security requirements, one may take larger safety margins. To ﬁnd a secure curve, Lercier [Ler97a] proposed an early-abort strategy to use when computing the cardinality of the curve using SEA.
However in small characteristic Satoh’s algorithm is eﬃcient. In particular in characteristic two, Satoh-FGH is clearly faster than SEA in practice. To illustrate the diﬀerence in speed between the two algorithms, we compare Lercier’s results [Ler97b] with the timings we get over the same ﬁelds, using an identical 266 MHz Alpha. The results are given in Table 3. We do not give minimal or maximal times for Satoh-FGH since the runtime of this algorithm is essentially constant when treating diﬀerent curves over the same ﬁeld.
Smart. Elliptic Curves in Cryptography. Cambridge University Press, 1999. 5. G. Frey. How to disguise an elliptic curve. Talk at Waterloo workshop on the ECDLP, 1998. html 6. D. P. Smart. A cryptographic application of Weil descent. Cryptography and Coding, 7th IMA Conference, Springer-Verlag, LNCS 1746, 191– 200, 1999. The full version of the paper is HP Labs Technical Report, HPL-1999-70. 7. P. Gaudry. An algorithm for solving the discrete logarithm problem on hyperelliptic curves. In Advances in Cryptology - EUROCRYPT 2000, Springer-Verlag LNCS 1807, 19–34, 2000.
Advances in Cryptology — EUROCRYPT 2001: International Conference on the Theory and Application of Cryptographic Techniques Innsbruck, Austria, May 6–10, 2001 Proceedings by Frederik Vercauteren, Bart Preneel, Joos Vandewalle (auth.), Birgit Pfitzmann (eds.)