2 papers
math.NT2025
Sesquilinear pairings on elliptic curves
Katherine E. Stange
Let be an elliptic curve with complex multiplication by a ring , where is an order in an imaginary quadratic field or quaternion algebra. We define sesquilinear pairings…
math.NT2024
Extending class group action attacks via sesquilinear pairings
Joseph Macula, Katherine E. Stange
We introduce a new tool for the study of isogeny-based cryptography, namely pairings which are sesquilinear (conjugate linear) with respect to the -module structure of…