Basic Understanding of Cryptography (Secret Key Cryptography)

• Introduction, Some Simple Cryptosystems and their Cryptanalysis. (Caesar Cipher, Vigenere Cipher, Substitution-Permutation Cipher etc.)
• One Time Pad (OTP), Perfect Secrecy (Shannon's Theory) and other Security Notions.
• Block Ciphers and their analysis.
• Modes of Operations, Stream Ciphers.
• Hash Function and their Applications in Cryptography.
• Authentication and Authentication Encryption.

Public Key Cryptography

• Key Exchange Protocols, PKCs (RSA, ElGamal).
• Computationally Hard Mathematical Problems and the State-of-the-art Algorithm for solving them.
• Curve-based cryptography
• Digital Signatures and ldentification Schemes.
• Security Notions in Public Key Setting.-PKl (Https), TLS, Secret Sharing, Broadcast
• Encryption, Fingerprinting etc..

Some other advance cryptographic primitives (basic notions only)

Multiparty Computation, Zero Knowledge Proof of Knowledge, Oblivious transfer etc..