Factoring by electronic mail
 Arjen K. Lenstra,
 Mark S. Manasse
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Abstract
In this paper we describe our distributed implementation of two factoring algorithms, the elliptic curve method (ecm) and the multiple polynomial quadratic sieve algorithm (mpqs).
Since the summer of 1987, our ecmimplementation on a network of MicroVAX processors at DEC’s Systems Research Center has factored several most and more wanted numbers from the Cunningham project. In the summer of 1988, we implemented the multiple polynomial quadratic sieve algorithm on the same network. On this network alone, we are now able to factor any 100 digit integer, or to find 35 digit factors of numbers up to 150 digits long within one month.
To allow an even wider distribution of our programs we made use of electronic mail networks for the distribution of the programs and for interprocessor communication. Even during the initial stage of this experiment, machines all over the United States and at various places in Europe and Australia contributed 15 percent of the total factorization effort.
At all the sites where our program is running we only use cycles that would otherwise have been idle. This shows that the enormous computational task of factoring 100 digit integers with the current algorithms can be completed almost for free. Since we use a negligible fraction of the idle cycles of all the machines on the worldwide electronic mail networks, we could factor 100 digit integers within a few days with a little more help.
 Title
 Factoring by electronic mail
 Book Title
 Advances in Cryptology — EUROCRYPT ’89
 Book Subtitle
 Workshop on the Theory and Application of Cryptographic Techniques Houthalen, Belgium, April 10–13, 1989 Proceedings
 Book Part
 Section 6
 Pages
 pp 355371
 Copyright
 1990
 DOI
 10.1007/3540468854_35
 Print ISBN
 9783540534334
 Online ISBN
 9783540468851
 Series Title
 Lecture Notes in Computer Science
 Series Volume
 434
 Series ISSN
 03029743
 Publisher
 Springer Berlin Heidelberg
 Copyright Holder
 SpringerVerlag Berlin Heidelberg
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 Editors

 JeanJacques Quisquater ^{(1)}
 Joos Vandewalle ^{(2)}
 Editor Affiliations

 1. Philips Research Laboratory
 2. ESAT Laboratory, Katholieke Universiteit Leuven
 Authors

 Arjen K. Lenstra ^{(3)}
 Mark S. Manasse ^{(4)}
 Author Affiliations

 3. Department of Computer Science, The University of Chicago, 1100 E 58th Street, Chicago, IL, 60637
 4. DEC Systems Research Center, 130 Lytton Avenue, Palo Alto, CA, 94301
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