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 …

Abstract The Supersingular Isogeny Diffie-Hellman (SIDH) protocol has been the main and
most efficient isogeny-based encryption protocol, until a series of breakthroughs led to a …

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 …

Since its proposal in Asiacrypt 2018, the commutative isogeny-based key exchange protocol
(CSIDH) has spurred considerable attention to improving its performance and re-evaluating …

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 …

SIDH is a post-quantum key exchange algorithm based on the presumed difficulty of finding
isogenies between supersingular elliptic curves. However, SIDH and related cryptosystems …

Abstract At ASIACRYPT 2018, Castryck, Lange, Martindale, Panny and Renes proposed
CSIDH, which is a key-exchange protocol based on isogenies between elliptic curves, and a …

Since its introduction by Jao and De Feo in 2011, the supersingular isogeny Diffie-Hellman
(SIDH) key exchange protocol has positioned itself as a promising candidate for post …

We derive a new formula for computing arbitrary odd-degree isogenies between elliptic
curves in Montgomery form. The formula lends itself to a simple and compact algorithm that …