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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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Contributor : Paul Zimmermann Connect in order to contact the contributor
Submitted on : Monday, October 30, 2006 - 5:57:38 PM
Last modification on : Friday, February 4, 2022 - 3:31:02 AM
Long-term archiving on: : Monday, September 20, 2010 - 4:24:37 PM


  • HAL Id : inria-00070192, version 2



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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