Elliptic Curve Cryptosystem in securing Communication across Unsecure Channel

Rasheed Gbenga Jimoh, Muyideen AbdulRaheem, I. R. Salimonu, O. V. Mejabi · Circulation in Computer Science · 2017

In the present day, exchanging information is the essential of successful business in our society. Securing the information from unauthorized individuals as well as unauthorized access is more essential. Cases of hacking bank accounts, stealing credit card numbers and decoding secret information are common occurrence. With the rapid grow of internet technology and increasing computational power of computer, securing privilege information against unauthorized access is a source of concern to the business managers. Different organisation use different methods to secure sensitive information. Most of these methods have not provided the desired result. This paper proposes the use of Elliptic Curve Cryptography (ECC) over finite fields to send and receive information in an unsecure channel without jeopardizing the security of the information. The basisof using ECC is because there is no known technique of finding solution of discrete logarithm problem, in a reasonable time, on a properly chosen elliptic curve. ECC has advantagesof smaller key sizes, faster computations, reductions in processing power, less storage space and low bandwidth rate consumption.In this paper, group theory, elliptic curves, finite fields and ECC encoding were explained.

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