Application of Cryptography Based on Elliptic Curves

ECC (Elliptic Curve Cryptography) is based on the algebraic structure of elliptic curves over finite fields that allows the use of smaller encryption keys compared to other cryptographies (e.g., using Galois fields) while maintaining an equivalent level of security [1]. Elliptic curves are used for key exchange, digital signatures, pseudo-random generators, and other tasks. They can also be used for encryption in combination with symmetric encryption. The content of this article is the protection of data transmission in a wireless network using elliptic curves.