19 citations · 48 across the 19 of their papers we have counts for
30 papers
A unified framework for existing and new constructions of Neumaier graphs
Aida Abiad, Wouter Castryck, Maarten De Boeck +2
A Neumaier graph is a non-complete edge-regular graph containing a regular clique; it is called strictly Neumaier if it is not strongly regular. In this paper we present a construc…
Generalized class group actions on oriented elliptic curves with level structure
Sarah Arpin, Wouter Castryck, Jonathan Komada Eriksen +2
We study a large family of generalized class groups of imaginary quadratic orders and prove that they act freely and (essentially) transitively on the set of primitively -or…
Scrollar invariants, syzygies and representations of the symmetric group II
Floris Vermeulen
Let be a degree cover of curves. In work by Castryck, Zhao and the author, we showed how one can attach to each partition of a multi-set of scrol…
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}…
Scrollar invariants, syzygies and representations of the symmetric group
Wouter Castryck, Floris Vermeulen, Yongqiang Zhao
We give an explicit minimal graded free resolution, in terms of representations of the symmetric group , of a Galois-theoretic configuration of points in $\mathbb{P}^{d-2}…
An infinite class of Neumaier graphs and non-existence results
Aida Abiad, Wouter Castryck, Maarten De Boeck +2
A Neumaier graph is a non-complete edge-regular graph containing a regular clique. A Neumaier graph that is not strongly regular is called a strictly Neumaier graph. In this work w…