15 天前 - … The supersingular l-isogeny graph Ge is the directed graph whose vertices are the
Fp-isomorphism classes of supersingular elliptic curves and whose edges are isogenies, up …

37 天前 - … When both families Ei contain only ordinary elliptic curves, we prove that their
isogeny graphs are isomorphic. When supersingular curves are involved, we describe which …

38 天前 - … When both families Ei contain only ordinary elliptic curves, we prove that their
isogeny graphs are isomorphic. When supersingular curves are involved, we describe which …

50 天前 - … isomorphism classes of supersingular elliptic curves and edges are equivalence
classes of p -… The details are summed up in [17] and all supersingular elliptic curves over p with …

135 天前 - … In this paper CSIDH is based on supersingular elliptic curve isogenies. The
ideal class group action on the Fp-isomorphism classes of Montgomery curves serves as its …

142 天前 - … We will now recall some characterizations of supersingular elliptic curves. Such
criteria … whose vertices are isomorphism classes of O-oriented elliptic curves defined over Fp, …

316 天前 - … vertices are isomorphism classes pE,Pq, where E is an ordinary elliptic curve defined
… We define the isogeny graphs of oriented supersingular elliptic curves equipped with a …

325 天前 - … Fq, where E is an ordinary elliptic curve and Ess is a supersingular elliptic curve.
We give a lower bound on the size of isomorphism classes of principally polarized abelian …