Date of Award

2013

Degree Type

Thesis

Degree Name

M.Sc.

Department

Mathematics and Statistics

First Advisor

Caron, Richard J.

Keywords

Pure sciences, Applied sciences, Aes, Cryptography, Ecc, Random, Rsa

Rights

CC BY-NC-ND 4.0

Abstract

In this thesis, a rigorous introduction of the modern cryptographic algorithms AES, RSA, and ECC, which represent the defacto standard used by the world (as of the year 2013), is presented in a fashion that is familiar to Mathematicians, Computer Scientists, and Engineers. This deposition, containing a breadth of knowledge, is meant to facilitate the understanding and application for cryptographic usage and implementation. In addition, a novel method for generating true random numbers is presented. This combined together with cryptography provides a solution for generating large keys and sequences required for cryptographic operations.

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