By Frederik Vercauteren, Bart Preneel, Joos Vandewalle (auth.), Birgit Pfitzmann (eds.)
EUROCRYPT 2001, the 20 th annual Eurocrypt convention, was once backed by means of the IACR, the foreign organization for Cryptologic learn, see http://www. iacr. org/, this yr in cooperation with the Austrian machine - ciety (OCG). the final 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 complaints, we have been happy that the convention application additionally incorporated a presentation by way of the 2001 IACR d- tinguished lecturer, Andrew Odlyzko, on “Economics and Cryptography” and an invited speak through Silvio Micali, “Zero wisdom Has Come of Age. ” in addition, there has been the rump consultation for shows of modern effects and different (p- sibly satirical) themes of curiosity to the crypto neighborhood, which Jean-Jacques Quisquater kindly agreed to run. this system Committee bought a hundred and fifty five submissions and chosen 33 papers for presentation; certainly one of them was once withdrawn by way of the authors. The evaluation procedure was once as a result a fragile and difficult activity for the committee individuals, and that i desire to thank them for the entire e?ort they spent on it. every one committee member used to be chargeable for the evaluate of no less than 20 submissions, so every one paper used to be conscientiously evaluated by way of at the very least 3 reviewers, and submissions with a application committee member as a (co-)author by way 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
Applying the method of  to How Secure Are Elliptic Curves over Composite Extension Fields? 37 this curve we obtain the hyperelliptic curve 1258097243x16 + 1177011841x8 + 540379308x4 +1555798523x2 + 613019365x +558654746x33 + 1390366357x32 + 577010024x28 +1211700991x26 + 2017104043x25 + 1674361774x24 +993950732x22 + 1777282797x21 + 1982857394x20 +144558341x19 + 693983331x18 + 1937134056x16 +1947274294x8 + 31687647x4 + 1217310851x2 + 493932675x H : y 2 +y deﬁned over the ﬁeld F231 , where w31 +w3 +1 = 0 and the curve H has genus 16.
This recent work is B. ): EUROCRYPT 2001, LNCS 2045, pp. 30–39, 2001. c Springer-Verlag Berlin Heidelberg 2001 How Secure Are Elliptic Curves over Composite Extension Fields? 31 based on the technique of Weil descent. Even though the work on Weil descent is now well known in the community there still appears to be a reluctance to drop composite extension ﬁelds in certain quarters. In this paper we investigate in detail the security of such systems and try to quantify by how much the techniques based on Weil restriction weaken the cryptographic system.
By work of  this is given by cJ = 22cq,g . – cs = Maximum cost of operation in Z/sZ, for values of s of cryptographic interest namely s ≈ q n we have cs = (n log q)2 . cJ bit operations to compute the matrix and then F 2 cs g bit operations to actually compute an element in the kernel. Here we have assumed, as is born out by experiment, that the operations in the Jacobian dominate the time needed to compute the matrix. The idea of the parameter l is to balance the time for ﬁnding the matrix with the time for solving the matrix.
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.)