20 years of ECM

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Abstract

The Elliptic Curve Method for integer factorization (ECM) was invented by H. W. Lenstra, Jr., in 1985 [14]. 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. © Springer-Verlag Berlin Heidelberg 2006.

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Zimmermann, P., & Dodson, B. (2006). 20 years of ECM. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 4076 LNCS, pp. 525–542). Springer Verlag. https://doi.org/10.1007/11792086_37

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