Understanding the Mathematics Behind Cryptography

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Authors
Kyriacos, Nicolas
Advisor
Wendt, Theodore
Ayers, Kimberly
Scott, Shaun
Editor
Date of Issue
2021
Subject Keywords
Publisher
Citation
Series/Report No.
item.page.identifier
Title
Understanding the Mathematics Behind Cryptography
Other Titles
Type
Thesis
Description
Abstract
Today the internet is being used more than ever in order to store, transfer and access information. As a result, our private information is vulnerable to malicious parties who wish to use it for their own personal benefit. Cryptography uses mathematics in order to hide our private data so that it cannot be accessed by anybody other than ourselves. We begin this paper by exploring the most basic kinds of cryptosystems such as shift transformations, linear transformations and affine transformations as well as the how these cryptosystems are cracked using frequency analysis. We then take a look at how these concepts translate to enciphering matrices. Furthermore, we explain the differences between private and public key cryptography and investigate the RSA cryptosystem which is one of the most common types of public key cryptosystems in use today.
Sponsors
Degree Awarded
Bachelor's
Semester
Spring
Department
Mathematics
Computer Science