Investigation into the Cryptographic Properties of Elliptic Curves Defined over a Prime Field - Couverture souple

O'Gara, Adrian

 
9783656945628: Investigation into the Cryptographic Properties of Elliptic Curves Defined over a Prime Field
Couverture souple
ISBN 10 : 3656945624 ISBN 13 : 9783656945628
Editeur : Grin Verlag, 2015

Synopsis

Bachelor Thesis from the year 2014 in the subject Computer Science - IT-Security, grade: 90.00, course: Computer Security & Digital Forensics, language: English, abstract: Elliptic curves, as used in cryptography, are essentially points bounded by a finite prime field which display group properties that facilitate their usage in a cryptosystem. The Discrete Log Problem (DLP) - based on a large prime order subgroup of (Zp)* - constitutes the essence of Elliptic Curve Cryptography (ECC) and can be summed up as such; find an integer, k, such that Q = kP where k = logp(Q) and P, Q ∈ (Zp)*. Compared to the Integer Factorisation Problem - upon which RSA is constructed - the DLP achieves a greater level of complexity in terms of resistance to attack. This project seeks to describe the mathematical properties that enable ECC to outperform RSA, culminating in the construction of a software system to demonstrate ECC's ability to securely encipher and decipher files and text, according to the National Security Agency's (NSA) Cryptographic Interoperability Strategy (CIS) or Suite B Cryptography.

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Éditeur
Grin Verlag
Date d'édition
2015
Langue
anglais
ISBN 10 
3656945624
ISBN 13 
9783656945628
Reliure
Broché
Nombre de pages
44
Coordonnées du fabricant
non disponible
Personne responsable
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