KEMBAR78
Public_Key_Cryptography_Diagram_Presentation.pptx
Public Key Cryptography
Algorithms: Securing Digital
Communication
Practical Demo Session
Your Name | Date
The Problem We're Solving
• Symmetric cryptography requires shared
secret keys
• How do two parties securely share a key over
insecure channel?
• Analogy: Sending a locked box without sharing
the key first
• Birth of asymmetric cryptography in 1970s
Public Key Cryptography
Fundamentals
• Two mathematically related keys: Public &
Private
• Public key: freely distributed, used for
encryption
• Private key: kept secret, used for decryption
• Based on one-way mathematical functions
• Encryption/Decryption flow → Diagram
Sender Receiver
Encrypt (Public
Key)
Decrypt (Private
Key)
RSA Algorithm - The Pioneer
• RSA (1977) – Rivest, Shamir, Adleman
• Mathematical foundation: product of large
primes
• Key Generation: choose p, q → n = p×q;
choose e, compute d
• Security basis: factoring large numbers is hard
• Still widely used, but requires 2048+ bit keys
Elliptic Curve Cryptography (ECC)
• More efficient alternative to RSA
• Mathematical foundation: elliptic curves over
finite fields
• Smaller keys, same security (256-bit ECC ≈
3072-bit RSA)
• Popular curves: secp256r1, Curve25519
• Applications: Mobile, IoT, cryptocurrencies
Diffie-Hellman Key Exchange
• Purpose: Establish shared secret over insecure
channel
• Mathematical basis: Discrete logarithm
problem
• Steps: Agree on parameters → exchange
public values → compute secret
• Analogy: Color mixing example
• Modern variants: ECDH
Post-Quantum Cryptography
• Quantum threat: could break RSA/ECC
• Timeline: 10–30 years
• New problems: lattice-based, hash-based,
code-based cryptography
• NIST standardization in progress
Real-World Applications
• HTTPS/TLS (web browsing security)
• Digital Signatures (software, email)
• Cryptocurrency transactions
• Messaging Apps (Signal, WhatsApp)
• VPNs (secure remote access)
• Code Signing (app stores)
Current Challenges &
Considerations
• Performance trade-offs: Security vs speed
• Key management: secure storage/distribution
• Implementation attacks: side-channel, timing
• Hybrid approaches: combine symmetric +
asymmetric
• Regulatory issues: compliance/export controls
Future Outlook & Conclusion
• Quantum transition: move to post-quantum
• Emerging applications: IoT, blockchain
evolution
• Research areas: homomorphic encryption,
zero-knowledge proofs
• Key takeaway: public key cryptography is
fundamental
• Questions?

Public_Key_Cryptography_Diagram_Presentation.pptx

  • 1.
    Public Key Cryptography Algorithms:Securing Digital Communication Practical Demo Session Your Name | Date
  • 2.
    The Problem We'reSolving • Symmetric cryptography requires shared secret keys • How do two parties securely share a key over insecure channel? • Analogy: Sending a locked box without sharing the key first • Birth of asymmetric cryptography in 1970s
  • 3.
    Public Key Cryptography Fundamentals •Two mathematically related keys: Public & Private • Public key: freely distributed, used for encryption • Private key: kept secret, used for decryption • Based on one-way mathematical functions • Encryption/Decryption flow → Diagram
  • 4.
  • 5.
    RSA Algorithm -The Pioneer • RSA (1977) – Rivest, Shamir, Adleman • Mathematical foundation: product of large primes • Key Generation: choose p, q → n = p×q; choose e, compute d • Security basis: factoring large numbers is hard • Still widely used, but requires 2048+ bit keys
  • 6.
    Elliptic Curve Cryptography(ECC) • More efficient alternative to RSA • Mathematical foundation: elliptic curves over finite fields • Smaller keys, same security (256-bit ECC ≈ 3072-bit RSA) • Popular curves: secp256r1, Curve25519 • Applications: Mobile, IoT, cryptocurrencies
  • 7.
    Diffie-Hellman Key Exchange •Purpose: Establish shared secret over insecure channel • Mathematical basis: Discrete logarithm problem • Steps: Agree on parameters → exchange public values → compute secret • Analogy: Color mixing example • Modern variants: ECDH
  • 8.
    Post-Quantum Cryptography • Quantumthreat: could break RSA/ECC • Timeline: 10–30 years • New problems: lattice-based, hash-based, code-based cryptography • NIST standardization in progress
  • 9.
    Real-World Applications • HTTPS/TLS(web browsing security) • Digital Signatures (software, email) • Cryptocurrency transactions • Messaging Apps (Signal, WhatsApp) • VPNs (secure remote access) • Code Signing (app stores)
  • 10.
    Current Challenges & Considerations •Performance trade-offs: Security vs speed • Key management: secure storage/distribution • Implementation attacks: side-channel, timing • Hybrid approaches: combine symmetric + asymmetric • Regulatory issues: compliance/export controls
  • 11.
    Future Outlook &Conclusion • Quantum transition: move to post-quantum • Emerging applications: IoT, blockchain evolution • Research areas: homomorphic encryption, zero-knowledge proofs • Key takeaway: public key cryptography is fundamental • Questions?