# Bilinear pairings with groups of safe prime order

I am looking for a curve with a bilinear pairing of safe prime order.

I.e. a bilinear map $$G \times G \rightarrow G_T$$ where $$|G| = p$$, $$p = 2q +1$$, and $$p,q$$ are both prime.

Is it feasible to find such a curve?

A potential alternative is to find a curve with a bilinear pairing of Sophie Germain prime order, so that the subgroup of order q has a bilinear pairing but the larger group of order p does not have that requirement.