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

The Deuring correspondence defines a bijection between isogenies of supersingular elliptic
curves and ideals of maximal orders in a quaternion algebra. We present a new algorithm to …

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 provide a new identification protocol and new signature schemes based on isogeny
problems. Our identification protocol relies on the hardness of the endomorphism ring …

In this paper, we propose a practical signature scheme based on the alternating trilinear
form equivalence problem. Our scheme is inspired by the Goldreich-Micali-Wigderson's zero …

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

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 …