Every attempt to access to the Internet through a Web browser, email sent, VPN connection,
VoIP call, instant message or other use of telecommunications systems involves …

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 present an efficient key recovery attack on the Supersingular Isogeny Diffie–Hellman
protocol (SIDH), based on a “glue-and-split” theorem due to Kani. Our attack exploits the …

We present an attack on SIDH which does not require any endomorphism information on the
starting curve. Our attack has subexponential complexity thus significantly reducing the …

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 …

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 …

Isogeny-based cryptography is cryptographic schemes whose security is based on the
hardness of a mathematical problem called the isogeny problem, and is attracting attention …

The Supersingular Isogeny Key Encapsulation mechanism (SIKE) is the only post-quantum
key encapsulation protocol based on elliptic curves and isogeny maps between them …

In this paper, we study several related computational problems for supersingular elliptic
curves, their isogeny graphs, and their endomorphism rings. We prove reductions between …