An Analysis of Cryptosystems Using Elliptic Curve Cryptography

The true impact of any public-key cryptosystem can only be evaluated in the context of a security protocol. Secure communication is an intrinsic requirement in any transaction. It is very important to implement cryptosystems securely against the attacks. Elliptic Curve Cryptography (ECC) is coming forth as an attractive public key cryptosystem for mobile/wireless environments compared to traditional cryptosystems like RSA and DSA. ECC fits well for an efficient and secure encryption scheme because it provides better security with smaller key sizes, which results in faster computations, lower power consumption, as well as memory and bandwidth savings. However, the digital signature is the indispensable way to ensure the security of web services and has great significance in practical applications. By using a digital signature algorithm we can provide authenticity and validation to the electronic document. ECDSA and ECDH use the concept of ECC. In this article we present ECC and most popular algorithms such as RSA, ECDH, ECDSA and ECPP and a comparative study of all these algorithms have been done