RSA Key Generator

RSA Encryption Algorithm Introduction

RSA is an asymmetric encryption algorithm first proposed by Ron Rivest, Adi Shamir, and Leonard Adleman in 1977. It is one of the most widely used public-key cryptosystems today.

Working Principle

RSA algorithm is based on a simple mathematical fact: multiplying two large prime numbers is easy, but factoring their product is extremely difficult. This asymmetry provides the security foundation for RSA.

Key Pair Usage

1. Public Key

   • Used for data encryption
   • Verifying digital signatures
   • Can be safely shared with anyone

2. Private Key

   • Used for data decryption
   • Generating digital signatures
   • Must be kept strictly confidential

Key Length Selection

Key Length	Security Level	Recommended Use
1024 bits	Low	Testing Environment
2048 bits	Medium	General Applications
4096 bits	High	Critical Systems

Note: With increasing computing power, at least 2048-bit key length is recommended for production environments.

Best Practices

1. Private Key Protection

   • Store in a secure location
   • Set appropriate access permissions
   • Regularly rotate key pairs

2. Key Backup

   • Securely backup private keys
   • Verify backup integrity
   • Establish key recovery procedures

3. Use Cases

   • SSL/TLS certificates
   • SSH authentication
   • Digital signatures
   • Secure communications

Security Recommendations

1. Avoid Key Pair Reuse

   • Use separate key pairs for different systems
   • Implement regular key rotation

2. Key Management

   • Establish key management policies
   • Track key usage
   • Promptly revoke compromised keys

3. Performance Considerations

   • Longer keys provide better security but lower performance
   • Choose appropriate key length based on actual needs

Common Issues

1. Generation Speed

   • Longer keys take more time to generate
   • 4096-bit keys may require significant time

2. Compatibility

   • Some older systems may not support longer keys
   • Verify system compatibility before use

3. Storage Space

   • Longer keys require more storage space
   • Consider system storage capacity

Related Standards

• PKCS#1: RSA Encryption Standard
• X.509: Public Key Certificate Standard
• FIPS 186-4: Digital Signature Standard

Summary

RSA is a mature and reliable encryption system, but its security largely depends on proper usage and key management. Choosing appropriate key lengths, protecting private keys, and following best practices are key to ensuring RSA encryption security.