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.
Autorius: | Adrian O'Gara |
Leidėjas: | GRIN Verlag |
Išleidimo metai: | 2015 |
Knygos puslapių skaičius: | 44 |
ISBN-10: | 3656945624 |
ISBN-13: | 9783656945628 |
Formatas: | Knyga minkštu viršeliu |
Kalba: | Anglų |
Žanras: | Computer security |
Parašykite atsiliepimą apie „Investigation into the Cryptographic Properties of Elliptic Curves Defined over a Prime Field“