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A survey on elliptic curve cryptography


Mohamed, Mohamad Afendee (2014) A survey on elliptic curve cryptography. Applied Mathematical Sciences, 8 (154). pp. 7665-7691. ISSN 1312-885X; ESSN: 1314-7552


Cryptography is an evolving field that research into discreet mathematical equation that is representable by computer algorithm for providing message condentiality. The scheme has been widely used by nation-states, corporates and individual who seeks privacy for data in storage and during transmission. This paper provides a ground up survey on elliptic curve cryptography. It tailors the mathematics behind elliptic curve to the applicability within a cryptosystem. In brief, elliptic curve is a study of points on two-variable polynomials of degree 3. With curve dened over a finite field, this set of points acted by an addition operation forms a finite group structure. Also known as torsion points, they are used to represent the coded messages. Encryption and decryption transform a point into another point in the same set. Besides providing conceptual understanding, discussions are targeting the issues of security and efficiency of elliptic curve cryptosystem. This paper serve as a basis in guiding anyone interested to understand the fundamental concept behind this cryptosystem. Moreover, we also highlight subareas of research within the scope of elliptic curve cryptosystem.

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Additional Metadata

Item Type: Article
Divisions: Faculty of Computer Science and Information Technology
Publisher: Hikari
Keywords: Elliptic curve; Endomorphism; Finite field; Group structure; Scalar multiplication
Depositing User: Nabilah Mustapa
Date Deposited: 30 May 2015 01:35
Last Modified: 07 Oct 2015 00:07
URI: http://psasir.upm.edu.my/id/eprint/36294
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