The linear crypto project has been around for centuries, but it was only in the last few years that people started to realize how important it is. A linear crypto project is a method of encrypting and decrypting information so that no one else can read or understand it. With data breaches occurring every day, privacy and security are more important than ever before.
Project Outline of the Linear Crypto
The project outline is divided into four sections:
- Introduction (1 – 3)
- Historical Perspective (4 – 5)
- Modulo Arithmetic and Matrices (6 – 14)
- Symmetric Key Encryption Schemes (15 – 25)
The first three subsections of the project outline are meant to provide a general overview of the topic of the linear crypto project, while the last two subsections provide an in-depth look at symmetric key encryption schemes and their applications
Introduction and Historical Perspective of Cryptography
Cryptography is a technique used to secure information. It is the process of transforming plaintext into a form that cannot be easily understood by anyone without the key used for encryption. Cryptography has been around since ancient times and has evolved over time to keep up with modern technology. Cryptography’s main goal is to protect data from being read or altered by unauthorized parties while transmitting it across networks, particularly the Internet.
When you use your credit card at a store, your personal information is encrypted with a key so that only the store owner can read it while it’s in transit on their network (e.g., Visa). If someone were able to intercept this message and crack its code, they would learn nothing useful about you other than how much money was withdrawn from your account (i.e., what transaction was made). In other words, cryptography makes sure no one can see what messages are being sent between two parties unless they have access to both ends of communication channel or have cracked its code first!
Symmetric Key Encryption Schemes
Symmetric key encryption is used to encrypt and decrypt messages. The same key is used both to encrypt and decrypt a message. This means that the sender and receiver must both know the secret key in order for their message to be encrypted correctly.
Public Key Encryption Schemes
Public key encryption is a system that allows people to send messages securely to each other. The sender encrypts the message using their private key and sends it along to the receiver, who then decrypts it using their public key. This is an example of asymmetric cryptography because there are two different keys: one for encryption (private) and one for decryption (public).
In the following sections I will explain how public-key encryption works, as well as describe some applications of this technology from cryptography.
The project is outlined in 4 sections
The first section provides a historical perspective of cryptography and introduces the modulo arithmetic and matrices, symmetric key encryption schemes, public key encryption schemes.
The second section introduces modern cryptography: Quantum Cryptography (QC), Discrete Logarithm Problem (DLP), Elliptic Curve Cryptography (ECC).
The third section consists of a cluster analysis of various mathematical operations used in QC and DLP algorithms. We will consider those operations from both theoretical and practical viewpoints, focusing on the following aspects: How much space does it require? How fast is it? What are its properties such as linearity or non-linearity? Can we build circuits that implement these functions efficiently? How do we design these circuits for real world applications?
The fourth section presents an efficient solution technique for performing simultaneous modular exponentiation using Montgomery multiplication algorithm which provides us with a parallel approach to solve this problem efficiently over GF(p) groups at least 20 times faster than before.
Now that you know what linear crypto project is and have the basics down, it’s time to put your knowledge into practice. Look at the four sections outlined in this blog post and choose one to work on. Choose wisely!