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 conception and alertness of cryptographic innovations. those conferences have taken position in Europe each year due to the fact that 1982 and are backed through the overseas organization for Cryptologic learn. Eurocrypt '93 used to be held within the village of Lofthus in Norway in may well 1993. the decision for papers ended in 117 submissions with authors representing 27 assorted international locations. 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 capabilities, fee structures, and cryptanalysis. the quantity comprises 6 additional rump consultation papers.

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**Extra resources for Advances in Cryptology — EUROCRYPT ’93: Workshop on the Theory and Application of Cryptographic Techniques Lofthus, Norway, May 23–27, 1993 Proceedings**

**Example text**

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. Bressoud, Factorisation and Primality Testing, Springer-Verlag, New York, 1989. K. Jacquea Stern Laboratoire d’hfonnatique, Ecole Normale Sup&rieure, 45, rue d’Ulm, 75230 Paris Abetract. Recently, Qu and Vanstone have announced the construction of eeverd new public-key cryptosyetcma based on group factorization.

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. Bressoud, Factorisation and Primality Testing, Springer-Verlag, New York, 1989. K. Jacquea Stern Laboratoire d’hfonnatique, Ecole Normale Sup&rieure, 45, rue d’Ulm, 75230 Paris Abetract.

30 days. 3 CPU-days, using half of the available memory. This shows that relatively inexpensive SIMD machines are much better for general purpose factoring than was previously expected. For SIMD-implementations of special purpose factoring algorithms (like the elliptic curve method) we refer t o [4]. The success of this implementation prompted work on a SIMD-implementation of the general number field sieve factoring method [l]. With this number field sieve implementation we broke the record set by the factorization of the ninth Fermat number, by factoring the 151-digit number (2503+ 1)/3 and the 158-digit number 2523- 1.

### 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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