On the decisional Diffie-Hellman problem for class group actions on oriented elliptic curves

Wouter Castryck, Marc Houben, Frederik Vercauteren +1

We show how the Weil pairing can be used to evaluate the assigned characters of an imaginary quadratic order $\mathcal{O}$ in an unknown ideal class $[\mathfrak{a}] \in \mathrm{Cl}…