Public Key Cryptography 2024/25 fall

Recommended Readings

Traditional Public Key Cryptography

Mathematical Background

• MathWiki

Security Notions

• Crypto Graphics -- PRF, CPA, IND-CCA1, IND-CCA2

An interactive visualization for learning the RSA Algorithm

• RSALearner

Cryptographic Key Length Recommendations

• Key Length Recommendations

Integer Factorization Methods

• Integer Factorization

Elliptic Curves

Safe Curves

• Choosing safe curves for elliptic-curve cryptography
• Safe curves for elliptic-curve cryptography

Projective Coordinates

• Projective Coordinates from Affine Coordinates

Twisted Edwards Curves

• Twisted Edwards Curves

Post-Quantum Cryptography

Lattice-based Cryptography

• Basic Lattice Cryptography: Encryption and Fiat-Shamir Signatures
• Lattice-based Cryptography, Modern Cryptography Volume 1
• Modern Cryptography Volume 2 A Classical Introduction to Informational and Mathematical Principle