1 citations · 1 across the 3 of their papers we have counts for
5 papers
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}…
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…
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…
Dynamically affine maps in positive characteristic
Jakub Byszewski, Gunther Cornelissen, Marc Houben +1
We study fixed points of iterates of dynamically affine maps (a generalisation of Lattès maps) over algebraically closed fields of positive characteristic . We present and study…
Gauss congruences for rational functions in several variables
Frits Beukers, Marc Houben, Armin Straub
We investigate necessary as well as sufficient conditions under which the Laurent series coefficients associated to a multivariate rational function satisfy Ga…