We propose a public-key encryption scheme and key agreement protocols based on a
group action on a set. We construct an implementation of these schemes for the action of the …

ECDSA is a widely adopted digital signature standard. Unfortunately, efficient distributed
variants of this primitive are notoriously hard to achieve and known solutions often require …

Solving the Pell Equation Page 1 Michael J. Jacobson, Jr. Hugh C. Williams CMS Books in
Mathematics Solving the Pell Equation Canadian Mathematical Society Société mathématique …

We design a linearly homomorphic encryption scheme whose security relies on the
hardness of the decisional Diffie-Hellman problem. Our approach requires some special …

Functional encryption (FE) is a modern public-key cryptographic primitive allowing an
encryptor to finely control the information revealed to recipients from a given ciphertext …

We introduce BICYCL an open-source C++ library that implements arithmetic in the ideal
class groups of imaginary quadratic fields, together with a set of cryptographic primitives …

In this thesis we use isogenies between ordinary elliptic curves for the construction of new
cryptographic schemes. The thesis is organized into an introductory chapter followed by …

Abstract At CRYPTO 2016, Couteau, Peters and Pointcheval introduced a new primitive
called encryption switching protocols, allowing to switch ciphertexts between two encryption …

We describe implementations for solving the discrete logarithm problem in the class group of
an imaginary quadratic field and in the infrastructure of a real quadratic field. The algorithms …

Let D be a positive nonsquare integer. The misnamed Pell equation is an expression of the
form (1.1) https://www. w3. org/1998/Math/MathML"> T 2− DU 2= 1 https://s3-euw1-ap-pe-df …