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

EUROCRYPT 2001, the 20 th annual Eurocrypt convention, was once subsidized through the IACR, the overseas organization for Cryptologic study, see http://www. iacr. org/, this 12 months in cooperation with the Austrian laptop - ciety (OCG). the final Chair, Reinhard Posch, used to be accountable for neighborhood or- nization, and registration was once dealt with by means of the IACR Secretariat on the collage of California, Santa Barbara. as well as the papers contained in those lawsuits, we have been happy that the convention application additionally integrated a presentation through the 2001 IACR d- tinguished lecturer, Andrew Odlyzko, on “Economics and Cryptography” and an invited speak by means of Silvio Micali, “Zero wisdom Has Come of Age. ” in addition, there has been the rump consultation for shows of contemporary effects and different (p- sibly satirical) issues of curiosity to the crypto neighborhood, 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obtained a hundred and fifty five submissions and chosen 33 papers for presentation; considered one of them used to be withdrawn by means of the authors. The overview procedure was once for this reason a fragile and demanding job for the committee contributors, and that i desire to thank them for the entire e?ort they spent on it. each one committee member was once chargeable for the evaluate of at the very least 20 submissions, so each one paper used to be rigorously evaluated via a minimum of 3 reviewers, and submissions with a software committee member as a (co-)author through at the very least 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

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IETF RFC 2412, Nov 1998. 2. NIST. FIPS PUB 186-2 : DIGITAL SIGNATURE STANDARD (DSS). National Institute for Standards and Technology, 2000. 3. SECG. SEC 2: Recommended Elliptic Curve Domain Parameters. Standards for Efficient Cryptography Group, 1999. 4. F. Blake, G. P. 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.

Now let H denote a (imaginary quadratic) hyperelliptic curve of genus g, defined over k, H : Y 2 + h(X)Y = f (X) where deg h(X) ≤ g and deg f (X) = 2g + 1. The Jacobian of H has about q g elements and one can also consider a hyperelliptic curve discrete logarithm problem (HCDLP) for such curves. We let the degree-zero divisor D1 generate some large cyclic subgroup of Jack (H) and let D2 ∈ D1 . The HCDLP is to find the integer λ such that D2 = [λ]D1 . Further details on the hyperelliptic group law and the HCDLP can be found in [10] and [4].

A. Semaev. Evaluation of discrete logarithms in a group of p-torsion points of an elliptic curves in characteristic p. Math. , 67(221):353– 356, January 1998. J. P. Serre. Corps locaux. Hermann, 1968. J. H. Silverman. The arithmetic of elliptic curves, volume 106 of Graduate Texts in Mathematics. Springer–Verlag, 1986. R. Silverman. A cost-based security analysis of symmetric and assymetric key lengths. Bulletin Number 13 of RSA Security, April 2000. B. Skjernaa. Satoh’s algorithm in characteristic 2.

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