generate random elliptic curve of prime order

asked 2018-11-28 04:24:16 +0200

panther gravatar image

updated 2018-12-16 18:41:07 +0200

FrédéricC gravatar image

As required in many cryptographic algorithms, I would like to sample a group (in this case, an abelian group defined on elliptic curve) of a random prime order. I know how to define an elliptic curve with given parameters, and then calculate its order. But how to sample an elliptic curve of random prime order?

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