Cryptography and security

Contents

1. Ancient cryptography: Vigenère, Enigma, Vernam cipher, Shannon theory
2. Diffie-Hellman cryptography: algebra, Diffie-Hellman, ElGamal
3. RSA cryptography: number theory, RSA, factoring
4. Elliptic curve cryptography: elliptic curves over a finite field, ECDH, ECIES
5. Symmetric encryption: block ciphers, stream ciphers, exhaustive search
6. Integrity and authentication: hashing, MAC, birthday paradox
7. Applications to symmetric cryptography: mobile telephony, Bluetooth, WiFi
8. Public-key cryptography: cryptosystem, digital signature
9. Trust establishment: secure communication, trust setups
10. Case studies: Bluetooth, TLS, SSH, PGP, biometric passport