# Elliptic-Curve

### Choice of an Elliptic Curve

The only restriction that the underlying proxy re-encryption scheme cryptosystem imposes on the choice of an elliptic curve is that it should generate a group of prime order, since we need to compute inverses modulo the order of this group. In the underlying setting of the proxy re-encryption scheme, we use the secp256k1 curve since it fulfills this latter requirement and is widely used in the blockchain ecosystem; we are exploring other curve choices that could improve performance.

![](/files/lOz76KLslhkNLourPYmR)


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