14 citations · 73 across the 25 of their papers we have counts for
5 papers · 1 filter
Higher-degree supersingular group actions
Mathilde Chenu, Benjamin Smith
We investigate the isogeny graphs of supersingular elliptic curves over equipped with a -isogeny to their Galois conjugate. These curves are interesting becau…
Extending the GLS endomorphism to speed up GHS Weil descent using Magma
Jesús-Javier Chi-Domínguez, Francisco Rodríguez-Henríquez, Benjamin Smith
Let , and let be a generalized Galbraith--Lin--Scott (GLS) binary curve, with and .We show that the GLS endomorphis…
Quantum-Resistant Security for Software Updates on Low-power Networked Embedded Devices
Gustavo Banegas, Koen Zandberg, Adrian Herrmann +2
As the Internet of Things (IoT) rolls out today to devices whose lifetime may well exceed a decade, conservative threat models should consider attackers with access to quantum comp…
An atlas of the Richelot isogeny graph
Enric Florit, Benjamin Smith
We describe and illustrate the local neighbourhoods of vertices and edges in the (2, 2)-isogeny graph of principally polarized abelian surfaces, considering the action of automorph…
Automorphisms and isogeny graphs of abelian varieties, with applications to the superspecial Richelot isogeny graph
Enric Florit, Benjamin Smith
We investigate special structures due to automorphisms in isogeny graphs of principally polarized abelian varieties, and abelian surfaces in particular. We give theoretical and exp…