Constructing public-key cryptographic schemes based on class group action on a set of isogenous elliptic curves
Constructing public-key cryptographic schemes based on class group action on a set of isogenous elliptic curves
We propose a public-key encryption scheme and key agreement protocols based on a group action on a set. We construct an implementation of these schemes for the action of the class group $\mathcal{CL}(\mathcal{O}_K)$ of an imaginary quadratic field $K$ on the set $\mathcal{ELL}$p,n$(\mathcal{O}_K)$ of isomorphism classes of elliptic curves over …