Analysis of elliptic curve scalar multiplication in secure communications

Nowadays there is an increasing demand for network security, because of the information processing, communications and revolutions. Cryptography offers high security for communication and networking. Elliptic curve scalar multiplication is the most important operation in elliptic curve cryptosystems. This paper focus on secure elliptic curve scalar multiplication development using Karatsuba multiplier and also generate secret key pair for encryption and decryption in elliptic curve cryptography. The implementation of the elliptic curve point multiplication is achieved by using a dedicated Galois Field arithmetic simulated on ModelSim.