The Advanced Cryptography Course is designed to equip learners with in-depth knowledge of modern cryptographic principles, protocols, and applications beyond the basics of classical cryptography. It covers advanced encryption algorithms, public-key infrastructures, digital signatures, zero-knowledge proofs, elliptic curve cryptography, homomorphic encryption, blockchain security, and quantum-resistant cryptographic techniques. Through this course, participants will gain both theoretical understanding and practical skills to design, analyze, and implement secure communication systems, making them industry-ready for high-demand roles in cybersecurity, research, and advanced system security design.
Module 1: Foundations of Cryptography Review of classical cryptography and modern cryptographic principles Mathematical foundations: modular arithmetic, prime numbers, probability theory Information-theoretic security vs. computational security.
Module 2: Symmetric Key Cryptography Advanced block ciphers (AES, Blowfish, Twofers, Serpent) Modes of operation (CBC, CTR, GCM) Stream ciphers and key management.
Module 3: Asymmetric Key Cryptography RSA algorithm and optimizations Diffie-Hellman key exchange Megamall cryptosystem Public Key Infrastructure (PKI) and digital certificates
Module 4: Cryptographic Hash Functions Properties: pre-image resistance, collision resistance Secure hash algorithms (SHA-2, SHA-3, BLAKE2) Message Authentication Codes (HMAC).
Module 5: Digital Signatures & Authentication Protocols Digital signature algorithms (DSA, ECDSA, EdDSA) Authentication protocols (Kerberos, OAuth) Certificate authorities and trust models.
Module 6: Advanced Topics in Cryptography Elliptic Curve Cryptography (ECC) Pairing-based cryptography Zero-Knowledge Proofs (ZKP) Homomorphic encryption.
Module 7: Cryptanalysis Techniques Differential and linear cryptanalysis Side-channel attacks (timing, power, fault injection) Attacks on public key systems.
Module 8: Cryptography in Blockchain and Cloud Security Blockchain consensus algorithms and cryptographic primitives Smart contract security Secure multiparty computation Cloud data security and key management.
Module 9: Post-Quantum Cryptography Quantum computing threats to RSA/ECC Lattice-based cryptography Code-based, hash-based, and multivariate cryptography NIST Post-Quantum Cryptography Standardization.
Module 10: Applications, Tools & Research in Cryptography Practical implementation using OpenSSL, Gung, PyCryptodome Case studies: secure messaging, e-voting, digital payments Research challenges in cryptography Future trends: AI-driven cryptanalysis and quantum cryptography.
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Email: coursedivine@gmail.com
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