Koblitz Curve- A Mapping Technique to Encipher/Decipher the Text message using Elliptic Curve Cryptography

Abstract

Elliptic Curve Cryptography (ECC) is studied to be very powerful and secured asymmetric technique which uses small key sizes and efficiently uses power and bandwidth. Wired and wireless sensor networks are prone to attacks like node capture, physical tampering, eavesdropping, denial of service, etc. ECC curves being resistant to these kinds of attacks, are used for secured data transmission. ECC uses Koblitz’s curve mapping methodology for encoding and decoding of user’s information over public environment and thus is efficient for secured computations. Koblitz curves are also used for secured exchange and ownership of cryptocurrency which is very popular nowadays. The research paper aims to discuss and implement Koblitz mapping technique on a given ECC curve and it is also proved to be secured to encode and decode the textual information during data transfer. The method, if used with parallel multipliers, does faster computations than other curves and saves time and space.