14 citations · 73 across the 25 of their papers we have counts for
33 papers
Trustless unknown-order groups
Samuel Dobson, Steven Galbraith, Benjamin Smith
Groups of unknown order are of major interest due to their applications including time-lock puzzles, verifiable delay functions, and accumulators. In this paper we focus on trustle…
Failing to hash into supersingular isogeny graphs
Jeremy Booher, Ross Bowden, Javad Doliskani +12
An important open problem in supersingular isogeny-based cryptography is to produce, without a trusted authority, concrete examples of "hard supersingular curves" that is, equation…
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…