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Applied Cryptography

Cryptography is the process of converting plain text into unintelligible text. Cryptography is a method of transmitting and storing the data in a particular form which is not only protect the data but also used for user authentication. Cryptographic is the science of using mathematics to encrypt and decrpt the data. Applied Cryptography enables to store sensitive information or transmit it across the insecure networks.

There are five primary functions in crptography that are Privacy/confidentiality, Authentication, Integrity, Non-repudiation, key exchange features of cryptography are Confidentiality, Integrity, Non-repudiation, and Authentication but in general there are only three types of cryptography: Symmetric Key Cryptography, Hash Functions, Asymmetric Key Cryptography. A fundamental goal of cryptography is to adequately address these areas, cryptography is all about the prevention and detection of cheating and
other malicious activities.

Some of the important subtopics covered in crptography are Custom Building Cryptography Algorithms (Hybrid Cryptography), Classical Cryptography and Quantum Cryptography, DNA Cryptography, Development of Cryptography, Quantum Cryptography, RSA Algorithm in Cryptography, the CIA triad in Cryptography, difference between, Steganography and Cryptography, Easy Key Management in Cryptography - Image Steganography in Cryptography Computer Network and many more.

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