Elliptic Curves and LatticesExplores Elliptic Curve Discrete Logarithm Problem, lattice-based cryptography, and cryptographic schemes like ECDSA.
Fermat's Little TheoremExplores Fermat's Little Theorem, its extensions, primality testing algorithms, and the significance of prime numbers in cryptography.
RSA: Trapdoor One-Way FunctionsExplores RSA encryption, trapdoor functions, hash functions, and cryptographic standards, including a practical example with Apple's iMessage implementation.
Discrete Exponentiation ComplexityExplores discrete exponentiation complexity, cyclic groups, and practical cryptography, including popular algorithms like Diffie-Hellman and RSA.
Chinese Remainders & RSAExplores the Chinese Remainders Theorem, RSA public-key cryptosystem, bijective properties, and key generation for encryption and decryption.
Cryptography FundamentalsCovers the basics of cryptography, including key concepts, tools, and protocols used for secure communication and data protection.
Conditional Access IICovers conditional access, encryption, decryption, authentication, and advanced encryption standards, exploring identity-based encryption, biometrics, and attribute-based encryption.
Generator of a GroupExplores checking a generator of a group, the Diffie-Hellman key exchange, and cryptographic algorithms.
Cryptography and Information TheoryExplores cryptography, perfect secrecy, group theory, and modern cryptographic milestones, emphasizing the trade-off between security and cost.