Application of elliptic curve cryptography in web security

Abstract

The elliptic curve cryptosystem (ECC) offers the same level of security comparable to the classical cryptosystems but using much smaller key size. With the understanding the advantage of ECC, the project goal is to develop an efficiency encryption schemes based on ECC. This report would summarize what have been done in this project including the design and implementation of elliptic curve cryptosystems - Elliptic curve Elgamal, Elliptic curve Menezes Vanstone, Elliptic curve RSA and the digital signature protocol in PHP. The report also covers the analysis of the algorithm performance which is the efficiency in encrypt, decrypting the message.