Elliptic Curve Cryptography
Introduction With the fast growth of information technology, networks have become a significant part of everyone’s lives. In the network confidentiality and authenticity of information must be secured against unauthorized access, interruption and modification. Encryption and Decryption, Digital Signature are some of the effective techniques that is used to secure the information of the user and confirm his/her authenticity. Yet, the overheads related with communication and its security must be minimal. In 1985, Neil Koblitz and Victor Miller independently proposed the Elliptic Curve Cryptosystem (ECC). It is a kind of public key cryptosystem which is based on the Elliptic Curve Discrete Logarithm Problem (ECDLP) for its security. ECC is being accepted as an alternative to other cryptosystems like RSA and ElGamal as ECC provides much more security with its highest strength-per-bit of any other cryptosystem known today and the creation faster, smaller, and more eff...