Advances in Cryptology — EUROCRYPT ’93: Workshop on the - download pdf or read online

By Thomas Johansson, Gregory Kabatianskii, Ben Smeets (auth.), Tor Helleseth (eds.)

ISBN-10: 3540482857

ISBN-13: 9783540482857

ISBN-10: 3540576002

ISBN-13: 9783540576006

Eurocrypt is a chain of open workshops at the thought and alertness of cryptographic innovations. those conferences have taken position in Europe each year on account that 1982 and are backed by means of the overseas organization for Cryptologic study. Eurocrypt '93 used to be held within the village of Lofthus in Norway in may perhaps 1993. the decision for papers led to 117 submissions with authors representing 27 various nations. The 36 authorised papers have been chosen by means of this system committee after a blind refereeing strategy. The papers are grouped into components on authentication, public key, block ciphers, mystery sharing, circulate ciphers, electronic signatures, protocols, hash services, fee structures, and cryptanalysis. the amount contains 6 additional rump consultation papers.

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Indeed, a MasPar-implementation of the QS-sieving step which was attempted in [5] seems to support this supposition. In this paper we describe a different approach to the SIMD-implementation of the sieving step which works quite efficiently: on a 16K MasPar 100-digit integers can be factored within three CPU-days. A 110-digit number took one CPU-month, where we used only 5/8 of the total available memory; using all the memory this factorization would have taken about 20 It is the policy of Bellcore to avoid any statements of comparative analysis or evduation of products or vendors.

40-49, 1994 0 Spnnger-Verlag Berlin Heidelberg 1994 41 (assuming n is the product of two large primes, p and 4). The appropriate value of di to be used is determined by the values of the two Legendre symbols n 5 where w = x, + ax, + b modulo n. Digital signatures are produced in a similar fashion. The Chinese Remainder Algorithm may also be used to reduce the computation time involved in the decryption procedure and in the production of digital signatures. A brief review of the basic definitions and facts about elliptic curves over a finite field is given in Section 2.

S. Millcr, "Use of Elliptic Curves in Cryptography", Advances in Cryptology: Procccdings of CRYFTO '85, Lecture Notes in Computer Science, Vol. 21 8, pp. 4 17-426, Springcr-Verlag, 1986. N. Koblitz, A Course in Numbcr Thcory and Cryptography, Spinger-Verlag, Ncw York, 1987. K. M. Maurcr, T. A. Vanstone, "New Public-Key Schcmcs Bascd on Elliptic Curves over h e Ring Zn", CRYPT0 '91 Abstracts, Sanla Barbara, CA, pp. 6-1 to 6-7, August 11-15, 1991. 170, pp. 483-494, 1985. K. W. , "Algorithms in Number theory", Univcrsily of Chicago, Dcpartmcnt or computer Science, Technical Report t# 87-008, 1987.

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Advances in Cryptology — EUROCRYPT ’93: Workshop on the Theory and Application of Cryptographic Techniques Lofthus, Norway, May 23–27, 1993 Proceedings by Thomas Johansson, Gregory Kabatianskii, Ben Smeets (auth.), Tor Helleseth (eds.)

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