Lenstra elliptic-curve factorization: Difference between revisions

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==GMP-ECM and EECM-MPFQ==
 
The use of Twisted Edwards elliptic curves, as well as other techniques were used by Bernstein etalet al<ref name=Bernstein2008 /> to provide an optimized implementation of ECM. Its only drawback is that it works on smaller composite numbers than the more general purpose implementation, GMP-ECM of Zimmerman.
 
==Hyperelliptic-curve method (HECM)==