Elliptic curve cryptosystem and its applications

The goal of this research is to develop a basis for utilizing efficient encryption schemes in wireless communications and in devices with low computing power and resources. Elliptic curve cryptography (ECC) fits well for an efficient and secure encryption scheme. It is more efficient than the ubiquitous RSA based schemes because ECC utilizes smaller key sizes for equivalent security. A comparative study of ECC with RSA is made in terms of key size, computational power, size of data files and encrypted files. Also, another aim is to design an API to implement ECC encryption/decryption algorithm.