By Stefania Cavallar, Bruce Dodson, Arjen K. Lenstra, Walter Lioen, Peter L. Montgomery (auth.), Bart Preneel (eds.)
This e-book constitutes the refereed lawsuits of the foreign convention at the thought and alertness of Cryptographic innovations, EUROCRYPT 2000, held in Bruges, Belgium, in might 2000. The 39 revised complete papers awarded have been conscientiously chosen from a complete of one hundred fifty submissions in the course of a hugely aggressive reviewing approach. The booklet is split in topical sections of factoring and discrete logarithm, electronic signatures, inner most details retrieval, key administration protocols, threshold cryptography, public-key encryption, quantum cryptography, multi-party computation and knowledge idea, zero-knowledge, symmetric cryptography, Boolean features and undefined, vote casting schemes, and circulation ciphers and block ciphers.
Read or Download Advances in Cryptology — EUROCRYPT 2000: International Conference on the Theory and Application of Cryptographic Techniques Bruges, Belgium, May 14–18, 2000 Proceedings PDF
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Extra resources for Advances in Cryptology — EUROCRYPT 2000: International Conference on the Theory and Application of Cryptographic Techniques Bruges, Belgium, May 14–18, 2000 Proceedings
N. Koblitz. Algebraic aspects of cryptography, volume 3 of Algorithms and Computation in Mathematics. Springer–Verlag, 1998. 27. B. A. LaMacchia and A. M. Odlyzko. Solving large sparse linear systems over ﬁnite ﬁelds. In A. J. Menezes and S. A. Vanstone, editors, Advances in Cryptology, volume 537 of Lecture Notes in Comput. , pages 109–133. Springer–Verlag, 1990. Proc. Crypto ’90, Santa Barbara, August 11–15, 1988. ´ 28. R. Lercier. Algorithmique des courbes elliptiques dans les corps ﬁnis. Th`ese, Ecole polytechnique, June 1997.
1, a 1 GHz TWINKLE is much easier to design and operate, and can make the whole idea much more practical. The improvement ratio of about 60 refers only to application of the QS because a 384-bit number can be factored in about 2 months on a PC using the NFS (this ﬁgure is based on extrapolation of the results from ). We next consider the problem of factoring 512-bit numbers, which are typical RSA keys in E-commerce applications. For this size the QS is not competitive with the asymptotically faster NFS so we concentrate on the NFS in the remainder of this article.
B. D˚ amgard, editor, Advances in Cryptology – Eurocrypt ’90, volume 473 of Lecture Notes in Computer Science, pages 72–82, Springer-Verlag, Berlin, 1991. 23. Arjen K. Lenstra and Eric R. Verheul. Selecting Cryptographic Key Sizes. In H. Imai and Y. Zheng, editors, Public Key Cryptography, volume 1751 of Lecture Notes in Computer Science, pages 446–465, Springer-Verlag, Berlin, 2000. 24. Peter L. Montgomery. Square roots of products of algebraic numbers. In Walter Gautschi, editor, Mathematics of Computation 1943–1993: a Half-Century of Computational Mathematics, pages 567–571.