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 efficient commutative group action suitable for non-interactive key exchange
in a post-quantum setting. Our construction follows the layout of the Couveignes–Rostovtsev …

Quantum computing technologies pose a significant threat to the currently employed public-
key cryptography protocols. In this paper, we discuss the impact of the quantum threat on …

We introduce SQIsignHD, a new post-quantum digital signature scheme inspired by
SQIsign. SQIsignHD exploits the recent algorithmic breakthrough underlying the attack on …

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

We propose a new suite of algorithms that significantly improve the performance of
supersingular isogeny Diffie-Hellman (SIDH) key exchange. Subsequently, we present a full …

We give a new signature scheme for isogenies that combines the class group actions of
CSIDH with the notion of Fiat-Shamir with aborts. Our techniques allow to have signatures of …

We present two new Verifiable Delay Functions (VDF) based on assumptions from elliptic
curve cryptography. We discuss both the advantages and drawbacks of our constructions …

In this survey, the authors review the main quantum algorithms for solving the computational
problems that serve as hardness assumptions for cryptosystem. To this end, the authors …

Recent independent analyses by Bonnetain–Schrottenloher and Peikert in Eurocrypt 2020
significantly reduced the estimated quantum security of the isogeny-based commutative …