After completing this experiment, you will be able to:

1. Understand Public-Key Cryptography Concepts

   • Comprehend the fundamental principles of asymmetric encryption and decryption
   • Recognize the importance of public-private key pairs in cryptographic systems
   • Understand the mathematical foundations of RSA encryption and the role of modular arithmetic

2. Master PKCS#1 v1.5 Operations

   • Perform encryption using the PKCS#1 v1.5 padding scheme with RSA
   • Execute decryption operations to recover original messages
   • Understand how padding schemes enhance security and prevent certain attacks

3. Analyze RSA Key Management

   • Generate RSA key pairs with different bit lengths and public exponents
   • Understand the relationship between key parameters (n, e, d, p, q)
   • Evaluate the impact of key size on security and performance

4. Explore Advanced RSA Parameters

   • Work with prime factors P and Q in RSA key generation
   • Understand the role of the Chinese Remainder Theorem in RSA optimization
   • Analyze the mathematical relationships between modulus, exponents, and prime factors

5. Apply Practical Public-Key Cryptography

   • Implement RSA encryption/decryption operations using real parameters
   • Compare different key sizes and their security implications
   • Understand the practical challenges of public-key infrastructure

6. Evaluate Cryptographic Security

   • Assess the security benefits of the PKCS#1 v1.5 padding scheme
   • Understand why padding is crucial for secure RSA implementation
   • Recognize the importance of proper key generation and management practices