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math.NT2022
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 in an unknown ideal class $[\mathfrak{a}] \in \mathrm{Cl}…
math.NT2022★ 1 cited
Dynamics of endomorphisms of algebraic groups
Jakub Byszewski, Gunther Cornelissen, Marc Houben
Let denote an endomorphism of a smooth algebraic group over the algebraic closure of a finite field, and assume all iterates of have finitely many fixed points. Steinbe…
math.NT2022
Generalized class polynomials
Marc Houben, Marco Streng
The Hilbert class polynomial has as roots the j-invariants of elliptic curves whose endomorphism ring is a given imaginary quadratic order. It can be used to compute elliptic curve…