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20072026
most citedAmicable pairs and aliquot cycles for elliptic curves

33 citations · 218 across the 26 of their papers we have counts for

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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…

math.NT2024

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…