ELLIPTIC CURVE CRYPTOGRAPHY KEY GENERATION

Student: Abdulrahman Shuaibu
Supervisor: Mr Murtala Umar
HOD: Dr Abdullahi Hussaini
Department of Mathematics and Statistics
Science
Sokoto State University, Sokoto, Sokoto State

Abstract

ABSTRACT Elliptic Curve Cryptography (ECC) is an improvement over public-key cryptography which is based on the algebraic structure of elliptic curves over finite fields. It can be used to create faster and more efficient cryptographic keys. In this work, elliptic curve cryptography was used to generate points and keys over a finite field with clear examples. The keys generated were later used as a means of communication between two users via Diffie Hellman key exchange. The work will no doubt give a clear understanding of the Elliptic Curve Cryptography as the area is more of theory than practical examples.

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