د.ابراهيم على المرهاق2026-10-062026-10-06https://dspace.academy.edu.ly/handle/123456789/2591The principal attraction of elliptic curve cryptography compared to RSA is that it offers equivalent level of security for a smaller key-size. The resulting elliptic curve cryptographic systems provide relatively small block size, high speed, and high security. ECC helps to establish equivalent security with lower computing power and battery resource usage, it is becoming widely used for mobile applications.The need for information security leads to the evolution of cryptography. In other words, cryptography is the science of keeping information secure. It involves encryption and decryption of messages. Encryption is the process of converting a plain text into cipher text and decryption is the process of getting back the original message from the encrypted text Elliptic curve arithmetic can be used to develop a variety of elliptic curve cryptographic (ECC) schemes including key exchange, encryption and digital signature. There have been various cryptographic algorithms suggested.Elliptic CurveCryptography based on elliptic curve