The theory of Euclidean networks: stackings and cryptography

Since the very foundations of geometry, Euclidean lattices have fascinated due to their ability to orderly arrange space in a regular manner, a phenomenon particularly reflected in sphere packings. This mathematical structuring is not merely an abstract curiosity; it carries with it concrete and revolutionary applications, especially in the context of post-quantum cryptography. The theory … Read more

Homomorphic encryption: perform computations on encrypted data

Homomorphic encryption is revolutionizing the way sensitive data is processed. By enabling calculations to be performed directly on encrypted data, this technology offers a new dimension to cybersecurity, addressing the growing needs for privacy and secure processing in an increasingly digitized world. In light of concerns regarding the protection of confidential information, particularly in cloud … Read more

Cryptography and its connection to modern mathematics

La cryptographie et son lien avec les mathématiques modernes

IN SHORT Modern cryptography: Securing transactions and generating trust. Mathematical problems: Use of unsolved problems, such as the factorization of large numbers. History: Cryptographic system RSA developed by Ronald Rivest and his colleagues in 1977. Applications: Computer programs derived from cryptographic protocols. Prime numbers: Essential for research in cryptography. Encoding function: Encryption keys validated by … Read more