Blockchain technology provides efficient and secure solutions to various online activities by
utilizing a wide range of cryptographic tools. In this article, we survey the existing literature …

We present an efficient key recovery attack on the Supersingular Isogeny Diffie–Hellman
protocol (SIDH). The attack is based on Kani's “reducibility criterion” for isogenies from …

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 …

In this paper we report on a new record class group computation of an imaginary quadratic
field having 154-digit discriminant, surpassing the previous record of 130 digits. This class …

The SIDH protocol is an isogeny-based key exchange protocol using supersingular
isogenies, designed by Jao and De Feo in 2011. The protocol underlies the SIKE algorithm …

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 …

Isogeny-based assumptions have emerged as a viable option for quantum-secure
cryptography. Recent works have shown how to build efficient (public-key) primitives from …

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 …