Fundamentals of Cryptography

Introduction of cryptography Symmetric-key Encryption Historical Ciphers Computational Security Semantic Security and Pseudorandom Generators (PRGs) Perfect secrecy. One-timepad encryption. Characterizations of perfect secrecy Limitations of perfect secrecy

CPA-Secure Ciphers from PRF Modes of Operations of Block Ciphers DES AES and Message Authentication Codes (MAC) Information-theoretic Secure MAC Cryptographic Hash Functions

Ideal-Cipher Model Davies-Meyer construction and Merkle-Damgård Paradigm Birthday Attacks on Cryptographic Hash Functions Applications of Hash Functions Random Oracle Model and Authenticated Encryption. Generic Constructions of Authenticated Encryption Schemes Key-exchange Problem One-way Trapdoor Functions and Cyclic Groups

Discrete-Logarithm Problem Computational Diffie-Hellman Problem Decisional DiffieHellman Problem Elliptic-Curve Based Cryptography and Public-Key Encryption

CCA -secure Public-key Hybrid Ciphers Based on Diffie-Hellman Problems and RSAassumption Digital Signatures Overview of TLS/SSL Number Theory Interactive Protocols .