We present SCALLOP: SCALable isogeny action based on Oriented supersingular curves
with Prime conductor, a new group action based on isogenies of supersingular curves …

Isogeny-based cryptography is famous for its short key size. As one of the most compact
digital signatures, SQIsign (Short Quaternion and Isogeny Signature) is attractive among …

In this paper we study non-trivial self-pairings with cyclic domains that are compatible with
isogenies between elliptic curves oriented by an imaginary quadratic order O. We prove that …

We study two important families of problems in isogeny-based cryptography and how they
relate to each other: computing the endomorphism ring of supersingular elliptic curves, and …

The recent devastating attacks on SIDH rely on the fact that the protocol reveals the images
φ (P) and φ (Q) of the secret isogeny φ: E 0→ E on a basis {P, Q} of the N-torsion subgroup E …

Cryptographic group actions are a relaxation of standard cryptographic groups that have
less structure. This lack of structure allows them to be plausibly quantum resistant despite …

SIDH is a post-quantum key exchange algorithm based on the presumed difficulty of finding
isogenies between supersingular elliptic curves. However, SIDH and related cryptosystems …

We present SCALLOP-HD, a novel group action that builds upon the recent SCALLOP
group action introduced by De Feo, Fouotsa, Kutas, Leroux, Merz, Panny and Wesolowski in …

An oriented 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 is …

The concept of verifiable delay functions has received attention from researchers since it
was first proposed in 2018. The applications of verifiable delay are also widespread in …