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Few Topics are:

  • asymmetric cryptography, hash functions, Weak and Strong onenway functions, Pseudo-random Generators
  • Blum-Micali-Yao Construction, Pseudo-random Functions (PRF) , Pseudorandom Permutation, Luby Rackoff Construction
  • Block Ciphers, , DES , Left or Right Security (LOR), Message Authentication Codes (MACs), 
  • Weak and Strong MACs,  PRF as a MAC, Public Key Signature Schemes, Public Key Signature Schemes, Shamir's Secret Sharing Scheme
  • Cryptographic Protocols, Proofs and Protocols,  modern cryptography, cryptographic primitives , 
  • Symmetric and public-key encryption, cryptanalysis, hash functions, digital signatures, discrete mathematics , algorithm analysis
  • Symmetric Key, Assymetric Key Cryptography, , Semantic Security (SS) and Message, 
  • Indistinguishability (MI),  MI, Hard Core Predicate, Trap-door permutation, 
  • Goldwasser-Micali Encryption, Goldreich-Levin Theorem, Predicates
  • Trap-door permutations , Attacks, Message Indistinguishability, Plaintext Attack(IND-CPA), , 
  • Ciphertext Attacks ,  Non-malleability: NMCPA, NM-CCA2, Inter-relations among the attack model, Random Oracles, Provable Security

Complex Topics are:

  • Cryptography
  • Shift and affine ciphers
  • One-time pads
  • Basic properties of the integers
  • Euclid’s algorithm
  • Modular arithmetic
  • Public key ciphers
  • The RSA, Rabin and ElGamal ciphers
  • Diffie-Hellman key exchange
  • Arithmetic of polynomials over finite fields
  • Constructing finite fields
  • Linear and non-linear shift registers
  • Graph theory
  • Eulerian and Hamiltonian graphs
  • Complexity, polynomial-time and exponential-time algorithms
  • Chromatic polynomials
  • Matchings and Hall’s Marriage Theorem
  • The Greedy Algorithm. Directed graphs
  • Network flows