20 Years of ECM

Author:

Zimmermann Paul,Dodson Bruce

Publisher

Springer Berlin Heidelberg

Reference24 articles.

1. Lecture Notes in Computer Science;P. Barrett,1987

2. Bernstein, D.J.: Removing redundancy in high-precision Newton iteration, 13 pages (2004), http://cr.yp.to/fastnewton.html

3. Bernstein, D.J.: Scaled remainder trees, 8 pages (2004), http://cr.yp.to/papers.html#scaledmod

4. Bostan, A., Lecerf, G., Schost, E.: Tellegen’s principle into practice. In: Proceedings of the 2003 international symposium on Symbolic and algebraic computation (Philadelphia, PA, USA, 2003), pp. 37–44 (2003)

5. Brent, R.P.: Some integer factorization algorithms using elliptic curves. Australian Computer Science Communications 8, 149–163 (1986), http://web.comlab.ox.ac.uk/oucl/work/richard.brent/pub/pub102.html

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1. Implementation of the Elliptic Curve Method;Science of Cyber Security;2023

2. Modular curves over number fields and ECM;Research in Number Theory;2022-10-25

3. Cryptanalysis of RSA with smooth prime sum;Journal of Discrete Mathematical Sciences and Cryptography;2022-08-18

4. Revisiting ECM on GPUs;Cryptology and Network Security;2020

5. Faster Cofactorization with ECM Using Mixed Representations;Lecture Notes in Computer Science;2020

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