… In this section, we describe Sutherland’s algorithm [4] of supersingular elliptic curves. …
one hundred supersingular elliptic curves over Fp2 . These supersingular elliptic curves were …

… Given a supersingular elliptic curve E defined over Fp2 , we describe in this section how to
find an isogeny path to a curve E defined over Fp. Our method has complexity O(p1/4) and is …

… supersingular elliptic curve is a curve which is enhanced with the information of an
endomorphism. Computing the full endomorphism ring of a supersingular elliptic curve … elliptic …

… The set S is in bijection with the set of isomorphism classes of supersingular elliptic curves
over Fp, and for each point xi ∈ S we let Ei denote a supersingular curve representing the …

… In this paper we give a new algorithm for computing the endomorphism ring of a
supersingular elliptic curve E: first we compute two cycles through E in the supersingular l-isogeny …

… The curve E is called supersingular if and only if the group E( ) … families of elliptic curves are
supersingular for any prime. … the supersingular loci of two infinite families of elliptic curves in …

… the T pairing operating on supersingular elliptic curves defined over F2691 and F3313 in just
… concision, we are forced to skip the description of many important concepts of elliptic curve …

… This includes background on supersingular elliptic curve isogenies and we review the … In
Sections 4 and 5 we present our commitment schemes based on supersingular isogeny graphs …

… This section first covers basic theory of supersingular elliptic curves, their endomorphism …
For a more detailed background on elliptic curves and isogenies, we refer the reader to [62]. …

… a supersingular elliptic curve (the Deuring correspondence in one direction). The other
direction—constructing a supersingular elliptic curve … to find a supersingular elliptic curve with a …