… 19], using supersingular elliptic curves. Since the discrete logarithm problem is unimportant
… elliptic curves are used in an isogeny-based system, we propose using supersingular curves …

… [38, Theorem III.6.1], the property of being isogenous over Fq is an … of elliptic curves defined
over Fq. Accordingly, we define an isogeny class to be an equivalence class of elliptic curves…

… We present an overview of supersingular isogeny cryptography and how it fits into the broad
… elliptic curve isogenies and the computational problems relevant for supersingular isogeny …

… isogeny graph. In this paper we consider the structure of the isogeny graph of supersingular
elliptic curves … We give an algorithm to construct isogenies between supersingular curves …

… ℓ-isogeny between K-oriented supersingular elliptic curves corresponds to an ℓ-isogeny
between elliptic curves … as that of the ℓ-isogeny graph of elliptic curves over a number field with …

… supersingular elliptic curve isogenies and we review the techniques used for computing such
isogenies. … our commitment schemes based on supersingular isogeny graphs and use the …

… Computational Supersingular Isogeny (CSSI) problem—computing $${\mathbb F}_{p^2}$$
-… isogenies of degrees $$2^e$$ and $$3^e$$ between certain supersingular elliptic curves …

… to supersingular elliptic curves and study these objects with the motivation of isogeny-based …
We also look at isogeny graphs of supersingular elliptic curves with level structure, and how …

… was given assuming some heuristics, while [10] used an isogeny φ of l-power degree. …
supersingular elliptic curve E: first we compute two cycles through E in the supersingular l-isogeny …

… problems for supersingular elliptic curves, their isogeny graphs, and … \)-isogeny graph,
computing maximal orders isomorphic to the endomorphism ring of a supersingular elliptic curve, …