Score:1

How are elliptic curves designed for encryption purpose?

gf flag

Why can't we use any random elliptic curve? What are the properties that need to be satisfied?

Ievgeni avatar
cn flag
Can you propose a procedure to pick "randomly" an elliptic curve?
fgrieu avatar
ng flag
That's a complex subject. Useful references: [safecurves](https://safecurves.cr.yp.to/index.html), [Brainpool requirements](https://web.archive.org/web/20170918080408/http://www.ecc-brainpool.org/20141001_ECCBrainpool_PositionPaper.pdf), [sec2 §2.1](https://www.secg.org/sec2-v2.pdf#subsection.2.1).
swineone avatar
ru flag
Far from being the only reason, but some curves can be implemented more efficiently than others.
kelalaka avatar
in flag
Does this answer your question? [What is necessary for generating an elliptic curve?](https://crypto.stackexchange.com/questions/34563/what-is-necessary-for-generating-an-elliptic-curve)
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