A Graduate Course in
Applied Cryptography

Part I: Secret key cryptography

• 1: Introduction
• 2: Encryption
• 3: Stream ciphers
• 4: Block ciphers
• 5: Chosen plaintext attacks
• 6: Message integrity
• 7: Message integrity from universal hashing
• 8: Message integrity from collision resistant hashing
• 9: Authenticated encryption

Part II: Public key cryptography

• 10: Public key tools
• 11: Public key encryption
• 12: Chosen ciphertext secure public-key encryption
• 13: Digital signatures
• 14: Fast signatures from one-way functions
• 15: Elliptic curve cryptography and pairings
• 16: Attacks on number theoretic assumptions
• 17: Post-quantum cryptography from lattices

Part III: Protocols

• 18: Protocols for identification and login
• 19: Identification and signatures from sigma protocols
• 20: Proving properties in zero-knowledge
• 21: Authenticated key exchange
• 22: Threshold cryptography
• 23: Secure multi-party computation

Appendices

• A: Basic number theory
• B: Basic probability theory
• C: Basic complexity theory
• D: Probabilistic algorithms

• Version 0.6: [pdf]    (posted Jan. 14, 2023)
• Version 0.5: [pdf]    (posted Jan. 4, 2020)
• Version 0.4: [pdf]    (posted Sep. 30, 2017)
• Version 0.3: [pdf]    (posted Dec. 9, 2016)
• Version 0.2: [pdf]    (posted Aug. 17, 2015)
• Version 0.1: [pdf]    (posted Jan. 22, 2008)