20 years of ECM

Paul Zimmermann 1 Bruce Dodson 1
1 SPACES - Solving problems through algebraic computation and efficient software
INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
Abstract : The Elliptic Curve Method for integer factorization (ECM) was invented by H. W. Lenstra, Jr., in 1985 . In the past 20 years, many improvements of ECM were proposed on the mathematical, algorithmic, and implementation sides. This paper summarizes the current state-of-the-art, as implemented in the GMP-ECM software.
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Communication dans un congrès
F. Hess and S. Pauli and M. Pohst. 7th Algorithmic Number Theory Symposium (ANTS VII), 2006, Berlin/Germany, Germany. Springer Verlag, 4076, pp.525--542, 2006, Lecture Notes in Computer Science
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Contributeur : Paul Zimmermann <>
Soumis le : lundi 30 octobre 2006 - 17:57:38
Dernière modification le : jeudi 11 janvier 2018 - 06:20:00
Document(s) archivé(s) le : lundi 20 septembre 2010 - 16:24:37

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Paul Zimmermann, Bruce Dodson. 20 years of ECM. F. Hess and S. Pauli and M. Pohst. 7th Algorithmic Number Theory Symposium (ANTS VII), 2006, Berlin/Germany, Germany. Springer Verlag, 4076, pp.525--542, 2006, Lecture Notes in Computer Science. 〈inria-00070192v2〉

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