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Conference papers

20 years of ECM

Paul Zimmermann 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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Submitted on : Friday, May 19, 2006 - 7:26:34 PM
Last modification on : Friday, February 26, 2021 - 3:28:07 PM
Long-term archiving on: : Sunday, April 4, 2010 - 8:29:57 PM


  • HAL Id : inria-00070192, version 1


Paul Zimmermann. 20 years of ECM. 7th Algorithmic Number Theory Symposium (ANTS VII), 2006, Berlin, pp.525--542. ⟨inria-00070192v1⟩



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