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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Conference papers
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https://hal.inria.fr/inria-00070192
Contributor : Paul Zimmermann <>
Submitted on : Monday, October 30, 2006 - 5:57:38 PM
Last modification on : Wednesday, April 17, 2019 - 4:07:58 PM
Long-term archiving on : Monday, September 20, 2010 - 4:24:37 PM

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  • HAL Id : inria-00070192, version 2

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Paul Zimmermann, Bruce Dodson. 20 years of ECM. 7th Algorithmic Number Theory Symposium (ANTS VII), 2006, Berlin/Germany, Germany. pp.525--542. ⟨inria-00070192v2⟩

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