🔐 Number Theory and Cryptography

An interactive web-based project that explores how number theory forms the foundation of classical and modern cryptography. Designed for students, educators, and enthusiasts, this site demonstrates core mathematical concepts and their real-world applications in securing digital communication.

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🎯 Purpose & Vision

This site is built to make number theory and cryptography accessible and engaging through interactive tools and clear explanations. Whether you're a learner or a curious visitor, the goal is to help you understand the mathematical principles behind encryption and secure communication.

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📚 What You'll Learn

• Basic number theory concepts
• Prime numbers and their importance in security
• Modular arithmetic and congruence
• GCD, LCM, and the Euclidean algorithm
• Cryptographic applications like:
  • Shift ciphers
  • RSA encryption
  • Key exchange protocols
  • Digital signatures
  • Homomorphic encryption (introductory)

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🛠️ Technologies Used

Frontend

• ⚙️ Vue.js — Reactive component-based framework
• 🎨 Tailwind CSS — Utility-first CSS for modern, responsive design

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✨ Features

• 🌙 Light/Dark theme toggle
• 📱 Responsive layout (mobile + desktop)
• 🧮 Interactive tools to explore:
  • Shift Cipher
  • RSA Encryption
  • Key Exchange
  • Digital Signature

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📁 Project Structure

number-theory-cryptography-vue/
├── public/
│ └── index.html
├── src/
│ ├── assets/
│ │ └── logo.png
│ ├── components/
│ │ ├── ShiftCipher.vue
│ │ ├── RSADemo.vue
│ │ ├── KeyExchange.vue
│ │ └── DigitalSignature.vue
│ ├── views/
│ │ ├── HomeView.vue
│ │ ├── ClassicalView.vue
│ │ ├── PublicKeyView.vue
│ │ └── ProtocolsView.vue
│ ├── router/
│ │ └── index.js
│ ├── App.vue
│ └── main.js
├── .gitignore
├── README.md
├── package.json
├── vite.config.js
└── LICENSE

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🚀 Getting Started

1. Clone the repository

   git clone https://github.com/Rathanak-Phan/Number-Theory-and-Cryptography-ITE-year2.git
   cd Number-Theory-and-Cryptography-ITE-year2