20 Years Of Ecm
ANTS'06: Proceedings of the 7th international conference on Algorithmic Number Theory（2006）
摘要
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.
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关键词
Elliptic Curve, Modular Multiplication, Quadratic Domain, Fermat Number, Assembly Code
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