According to the standard paradigm, white box cryptographic primitives are used to block
black box attacks and protect sensitive information. This is performed to safeguard the …

From ancient times to modern digital era, one thing that never lost its importance is data.
Extensive efforts have been made by people to protect and secure data. Advancements in …

Finite-field cryptography plays a major role in current cyberspace infrastructure. Most
notable examples include the RSA public key cryptosystem based on the assumed difficulty …

Many cryptographic protocols derive their security from the apparent computational
intractability of the integer factorization problem. Currently, the best known integer-factoring …

Résumé Les protocoles cryptographiques constituent le cœur de la sécurité dans les
communications de tous genres. Ils assurent l'authentification des agents, la confidentialité …

The security of most current public-key cryptosystems is based on the difficulty of finding
discrete logarithms in large finite fields or factoring large integers. Most discrete logarithm …

Dans cette thèse, nous étudions les problèmes de la factorisation d'entier et de calcul de
logarithme discret dans les corps finis. Dans un premier temps, nous nous intéressons à …

The security of the RSA algorithm relies on the difficulty to factorize large numbers. However
the computational power of information technologies is increasing all the time, while open …

In this research, we delve into the challenges associated with factorization in the context of
the RSA cryptosystem. The RSA cryptosystem's security relies on the computational …

We describe a project carried out by CryptoLabTN. In this project we provide a rigorous
analysis of the RSA cryptographic keys employed in the Certification Authority (CA) to certify …