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 …

We present KEMTLS, an alternative to the TLS 1.3 handshake that uses key-encapsulation
mechanisms (KEMs) instead of signatures for server authentication. Among existing post …

Abstract Recently, Castryck, Lange, Martindale, Panny, and Renes proposed CSIDH
(pronounced “sea-side”) as a candidate post-quantum “commutative group action.” It has …

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 …

This paper explores a new way of instantiating isogeny-based cryptography in which parties
can work in both the (p+ 1)(p+ 1)-torsion of a set of supersingular curves and in the (p-1)(p …

These lectures notes were written for a summer school on Mathematics for post-quantum
cryptography in Thi\es, Senegal. They try to provide a guide for Masters' students to get …

CSIDH is a recent proposal for post-quantum non-interactive key-exchange, based on
supersingular elliptic curve isogenies. It is similar in design to a previous scheme by …

In this paper, we construct the first provably-secure isogeny-based (partially) blind signature
scheme. While at a high level the scheme resembles the Schnorr blind signature, our work …

Abstract Recently Castryck, Lange, Martindale, Panny, and Renes published CSIDH, a new
key exchange scheme using supersingular elliptic curve isogenies. Due to its small key …