This course reviews some failure cases in public-key cryptography. It introduces some cryptanalysis techniques. It also presents fundamentals in cryptography such as interactive proofs. Finally, it presents some techniques to validate the security of cryptographic primitives.
Serge Vaudenay entered at the Ecole Normale Supérieure in 1989 with a major in mathematics. He earned his agrégation (secondary teaching degree) in mathematics in 1992, then a PhD in Computer Science at the University of Paris 7 - Denis Diderot in 1995. He subsequently became a senior research fellow at the CNRS, prior to being granted his habilitation à diriger des recherches (a postdoctoral degree authorizing the recipient to supervise doctoral students). In 1999, he was appointed as a Professor at the EPFL, where he created the Security and Cryptography Laboratory.
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Adaptive signal processing, A/D and D/A. This module provides the basic
tools for adaptive filtering and a solid mathematical framework for sampling and
quantization
This course introduces the basics of cryptography. We review several types of cryptographic primitives, when it is safe to use them and how to select the appropriate security parameters. We detail how
Discrete mathematics is a discipline with applications to almost all areas of study. It provides a set of indispensable tools to computer science in particular. This course reviews (familiar) topics a
Machine learning and data analysis are becoming increasingly central in sciences including physics. In this course, fundamental principles and methods of machine learning will be introduced and practi
The goal of the course is to introduce basic notions from public key cryptography (PKC) as well as basic number-theoretic methods and algorithms for cryptanalysis of protocols and schemes based on PKC
Couvre les concepts fondamentaux de la cryptographie, y compris les primitives, la sécurité, le cryptage et l'authentification, en explorant la cryptographie symétrique et à clé publique, l'accord clé, les schémas d'engagement et les fonctions de hachage.
Explore les primitives cryptographiques fondamentales, les modèles de sécurité et la relation entre la sécurité de déchiffrement et la sécurité de récupération des clés.
Explore les modèles de sécurité cryptographiques, le déchiffrement par rapport à la récupération de clé, le chiffrement idéal, la construction MAC, le protocole d'accord de clé, les cryptosystèmes à clé publique et la sécurité du schéma de signature.