Cryptographie

Le calcul modulaire est utilisé dans de nombreuses applications des mathématiques, telles que la cryptographie. La réduction modulaire dans un contexte très général est coûteuse, car elle n

Exposé de Vanessa Vitse (Institut Fourier) : Nombres de Sophie Germain et codes secrets

Information Structures for Privacy and Fairness

This seminar will talk about some of the privacy risks of these systems and will describe some recent attacks. It will also discuss why they sometimes fail to deliver. Finally, we will also show that

Dans cet exposé, à la fois historique et technique, nous expliquerons tout d'abord comment les machines à chiffrer Enigma ont pu être cryptanalysées durant la deuxième guerre mondiale. Nous nous

LDPC codes have an interesting feature: they are free of algebraic structure. We will study in detail this proposal for the McEliece cryptosystem in this session. LDPC codes were originally

In this session, we will talk about using subcodes of a Generalized Reed–Solomon code for the McEliece Cryptosystem. Recall that to avoid the attack of Sidelnikov and Shestakov, Berger and

Welcome to this MOOC which is entitled: code-based cryptography. This MOOC is divided in five weeks. The first week, we will talk about error-correcting codes and cryptography, this is an introduction

This is the last session where we will talk about reducing the key size. Here we will introduce the MDPC codes. In 2012, the MDPC codes were proposed for the McEliece schemes. An MDPC code is a

We present in this session a general decoding method for linear codes. And we will see it in an example. Let C be a generalized Reed-Solomon code of dimension k associated to the pair (c, d). Then,

In this session, we will give a brief introduction to Coding Theory. Claude Shannon's paper from 1948 entitled "A Mathematical Theory of Communication" gave birth to the disciplines of Information

This is the last session of the second week. The cryptography community has different options for using public key cryptosystems, among others, they have RSA or DSA. But … McEliece has the same