Elliptic Curve Cryptography with Reduced Cipher Bandwidth-A New Approach to Conventional ECC

Abstract

Public key Cryptosystem (PKC) is ever expanding in the history of cryptography. Traditional Public Key Infrastructure (PKI) certificates assure the authenticity in the form of digital signature. Elliptic curve cryptography is an incredible and complex public key cryptosystem having wide range of practical applications in wireless environments like smartcards, tokens, and mobile phones. The attractive feature of ECC is it offers equivalent level of security as RSA/DSA with much smaller keys. This is the reason that ECC has several applications in wireless constrained environments especially in Secure Sockets Layer (SSL) handshakes to establish SSL connection.  For implementing the text encryption in ECC one plaintext point on the elliptic curve is encrypted as two cipher text points. So, the main drawbacks of ECC is that it increases the size of the cipher significantly more than RSA encryption. This paper aims at presenting innovative elliptic curve cryptosystem that reduces the cipher size equivalent   to that   of the plaintext which reduces the communication risk, storage space and power consumption.