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Subject Syllabus

CY-302 - Fundamental of Cryptography

CSCY · Semester 3

Course Modules

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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