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

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

ISBN-10: 3540420703

ISBN-13: 9783540420705

ISBN-10: 3540449876

ISBN-13: 9783540449874

EUROCRYPT 2001, the 20 th annual Eurocrypt convention, used to be backed via the IACR, the overseas organization for Cryptologic study, see http://www. iacr. org/, this yr in cooperation with the Austrian desktop - ciety (OCG). the overall Chair, Reinhard Posch, was once liable for neighborhood or- nization, and registration was once dealt with via the IACR Secretariat on the college of California, Santa Barbara. as well as the papers contained in those complaints, 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 by means of Silvio Micali, “Zero wisdom Has Come of Age. ” moreover, there has been the rump consultation for shows 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Committee acquired a hundred and fifty five submissions and chosen 33 papers for presentation; one among them was once withdrawn by way of the authors. The assessment method was once consequently a fragile and demanding job for the committee individuals, and that i desire to thank them for all of the e?ort they spent on it. each one committee member was once accountable for the overview of a minimum of 20 submissions, so each one paper was once rigorously evaluated by way of no less than 3 reviewers, and submissions with a application 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

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Departement of Commerce/National Institute of Standards and Technology. htm. IEEE P1363. Standard specifications for public key cryptography. org/groups/1363/. A. O. L. Atkin. The number of points on an elliptic curve modulo a prime. Series of e-mails to the NMBRTHRY mailing list, 1992. I. Blake, G. Seroussi, and N. Smart. Elliptic curves in cryptography, volume 265 of London Math. Soc. Lecture Note Ser. Cambridge University Press, 1999. H. Cohen. A course in algorithmic algebraic number theory, volume 138 of Graduate Texts in Mathematics.

V. Miller. Use of elliptic curves in cryptography. In A. M. Odlyzko, editor, Advances in Cryptology – CRYPTO ’86, volume 263 of Lecture Notes in Finding Secure Curves with the Satoh-FGH Algorithm Mor95. MOV91. MP98. M¨ ul95. PH78. Pol78. SA98. Sat00. Sch85. Sch95. Sem98. Ser68. Sil86. Sil00. Skj. Sma99. V´el71. vOW99. 29 Comput. , pages 417–426. Springer-Verlag, 1987. Proceedings, Santa Barbara (USA), August 11–15, 1986. F. Morain. Calcul du nombre de points sur une courbe elliptique dans un corps fini : aspects algorithmiques.

Only the first can be computed by composing all the power series of the Σ ˆi have to be determined, and this can be done with V´elu’s coefficients gi of the Σ formulae [V´el71]. More precisely, gi2 is given by an explicit formula involving the lifted curves and 2–torsion. Taking one of the square roots of gi2 produces the trace to sufficient precision for it to be recovered exactly using Hasse’s bound. 3 Description of the Algorithm In this section, we give a synthetic description of the algorithm. For a more detailed one, we refer the reader to [FGH00].

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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.)


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