Improving Network Security Using Elliptic Curve Cryptosystem

Advantages of ECC
Thus, the ECC offered remarkable advantages over other cryptographic system.
➢    It provides greater security for a given key size.
➢    It provides effective and compact implementations for cryptographic operations requiring smaller chips.
➢    Due to smaller chips less heat generation and less power consumption.
➢    It is mostly suitable for machines having low bandwidth, low computing power, less memory.
➢    It has easier hardware implementations
➢    So far no drawback of ECC had been reported
2. Diffie–Hellman key exchange (D–H)
Is a specific method of securely exchanging cryptographic keys over a public channel and was one of the first public-key protocols as originally conceptualized by Ralph Merkle and named after Whitfield Diffie and Martin Hellman.D–H is one of the earliest practical examples of public key exchange implemented within the field of cryptography.
Traditionally, secure encrypted communication between two parties required that they first exchange keys by some secure physical channel, such as paper key lists transported by a trusted courier. The Diffie–Hellman key exchange method allows two parties that have no prior knowledge of each other to jointly establish a shared secret key over an insecure channel. This key can then be used to encrypt subsequent communications using a symmetric key cipher.
Diffie–Hellman is used to secure a variety of Internet services. However, research published in October 2015 suggests that the parameters in use for many D–H Internet applications at that time are not strong enough to prevent compromise by very well-funded attackers, such as the security services of large governments.
The scheme was first published by Whitfield Diffie and Martin Hellman in 1976, but in 1997 it was revealed that James H. Ellis,Clifford Cocks and Malcolm J. Williamson of GCHQ, the British signals intelligence agency, had previously shown how public-key cryptography could be achieved.
Although Diffie–Hellman key agreement itself is a non-authenticated key-agreement protocol, it provides the basis for a variety of authenticated protocols, and is used to provideforward secrecy in Transport Layer Security's ephemeral modes (referred to as EDH or DHE depending on the cipher suite).The method was followed shortly afterwards by RSA, an implementation of public-key cryptography using asymmetric algorithms. U.S. Patent 4,200,770, from 1977, is now expired and describes the now-public domain algorithm. It credits Hellman, Diffie, and Merkle as inventors.
Figure 5: OVERVIEW OF DIFFIE–HELLMAN