Mathematical Foundations
Number theory, modular arithmetic, prime numbers, and discrete logarithms that form the backbone of cryptographic algorithms.
Comprehensive resource for modern cryptography, encryption algorithms, security protocols, and cybersecurity best practices. From AES to blockchain security.
Master the core principles and mathematical foundations of modern cryptography
Number theory, modular arithmetic, prime numbers, and discrete logarithms that form the backbone of cryptographic algorithms.
Block ciphers, stream ciphers, modes of operation, and key management for efficient encryption and decryption processes.
Public-key cryptosystems, key exchange protocols, and digital signatures enabling secure communication without shared secrets.
Cryptographic hash functions, message digests, MAC algorithms, and their applications in data integrity and authentication.
Cryptographically secure pseudorandom number generators (CSPRNGs) and entropy sources for secure key generation.
Key generation, distribution, storage, rotation, and destruction protocols for maintaining cryptographic security throughout key lifecycles.
Detailed analysis of modern cryptographic algorithms and their implementations
Industry-standard symmetric encryption algorithm supporting 128, 192, and 256-bit keys. Features Rijndael cipher with substitution-permutation network structure.
Widely-used public-key cryptosystem based on the difficulty of factoring large composite numbers. Supports both encryption and digital signatures.
Modern public-key cryptography based on elliptic curves over finite fields. Provides equivalent security to RSA with smaller key sizes.
Cryptographic hash function producing 256-bit hash values. Part of SHA-2 family, widely used in blockchain, digital signatures, and data integrity.
Essential security protocols, attack vectors, and defense mechanisms
Secure communication protocols for internet applications. TLS 1.3 improvements, cipher suites, and certificate management.
Authentication and non-repudiation using RSA, ECDSA, and EdDSA. Certificate authorities and public key infrastructure.
Privacy-preserving authentication protocols. zk-SNARKs, zk-STARKs, and applications in blockchain and identity verification.
Timing attacks, power analysis, electromagnetic emanations, and countermeasures for secure hardware implementations.
Ephemeral key exchange protocols ensuring past communications remain secure even if long-term keys are compromised.
Quantum-resistant algorithms including lattice-based, code-based, and multivariate cryptography for future security.
Cryptographic foundations and security considerations for distributed ledger technologies
Proof of Work, Proof of Stake, and Byzantine Fault Tolerance algorithms ensuring network security and agreement in distributed systems.
Security vulnerabilities in smart contracts, formal verification methods, and best practices for secure decentralized application development.
Binary tree structures using cryptographic hashes for efficient and secure verification of large data structures in blockchain systems.
Advanced cryptographic techniques for transaction privacy including ring signatures, stealth addresses, and zero-knowledge proofs.
Curated tools, references, and educational materials for cryptography mastery