The Internet of Things (IoT) represents a technologically optimistic future where objects will
be connected to the internet and make intelligent collaborations with other objects …

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 …

We present new candidates for quantum-resistant public-key cryptosystems based on the
conjectured difficulty of finding isogenies between supersingular elliptic curves. The main …

We present new candidates for quantum-resistant public-key cryptosystems based on the
conjectured difficulty of finding isogenies between supersingular elliptic curves. The main …

Given two ordinary elliptic curves over a finite field having the same cardinality and
endomorphism ring, it is known that the curves admit a nonzero isogeny between them, but …

The worst-case hardness of finding short vectors in ideals of cyclotomic number fields (Ideal-
SVP) is a central matter in lattice based cryptography. Assuming the worst-case hardness of …

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 …

Abstract Let p> 3 p> 3 be a prime and let EE, E'E′ be supersingular elliptic curves over F _p
F p. We want to construct an isogeny ϕ: E → E'ϕ: E→ E′. The currently fastest algorithm for …

We revisit the ordinary isogeny-graph based cryptosystems of Couveignes and Rostovtsev–
Stolbunov, long dismissed as impractical. We give algorithmic improvements that accelerate …

Abstract The Internet of Things (IoT) connects almost all the environment objects whether
physical or virtual over the Internet to produce new digitized services that improve people's …