We present new candidates for quantum-resistant public-key cryptosystems based on the
conjectured difficulty of finding isogenies between supersingular elliptic curves. The main …

We present new candidates for quantum-resistant public-key cryptosystems based on the
conjectured difficulty of finding isogenies between supersingular elliptic curves. The main …

We present an overview of supersingular isogeny cryptography and how it fits into the broad
theme of post-quantum public-key crypto. The paper also gives a brief tutorial of elliptic …

Given two ordinary elliptic curves over a finite field having the same cardinality and
endomorphism ring, it is known that the curves admit a nonzero isogeny between them, but …

We present the first general-purpose digital signature scheme based on supersingular
elliptic curve isogenies secure against quantum adversaries in the quantum random oracle …

We study cryptosystems based on supersingular isogenies. This is an active area of
research in post-quantum cryptography. Our first contribution is to give a very powerful active …

We introduce a new signature scheme, SQISign,(for Short Quaternion and Isogeny
Signature) from isogeny graphs of supersingular elliptic curves. The signature scheme is …

We propose an undeniable signature scheme based on elliptic curve isogenies, and prove
its security under certain reasonable number-theoretic computational assumptions for which …

We present signature schemes whose security relies on computational assumptions relating
to isogeny graphs of supersingular elliptic curves. We give two schemes, both of them based …

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 …