Lectures related to Number Theory: Foundations and Applications in Cryptography

Explores the history and concepts of Number Theory, including divisibility and congruence relations.

Introduces modulo arithmetic, Euclid's algorithm, and congruence in number theory.

Introduces modular arithmetic, its properties, and applications in cryptography and coding theory.

Covers the Diffie-Hellman key exchange protocol and the ElGamal public-key cryptosystem.

Covers commutative groups and their significance in cryptography.

Covers algorithms for big numbers, Z_n, and orders in a group, explaining arithmetic operations and cryptographic concepts.

Explores public-key cryptography, key exchange, and digital signatures, discussing practical applications and security mechanisms.

Explores cryptography, perfect secrecy, group theory, and modern cryptographic milestones, emphasizing the trade-off between security and cost.

Covers the basics of modular arithmetic and its applications in number theory and cryptography.

Explores the Euclidean algorithm, Bézout's identity, extended Euclid algorithm, and commutative groups in mathematics.

Covers number theory, division, remainder, congruence, prime numbers, integer representation, and the Euclidean algorithm.

Discusses public-key cryptography, focusing on standards like RSA, DSA, and AES, and their applications in secure communications.

Covers the RSA cryptosystem, encryption, decryption, group theory, Lagrange's theorem, and practical applications in secure communication.

Introduces cryptography, focusing on the one-time pad and public-key systems, emphasizing privacy and authenticity in information security.

Explores cryptography basics, key exchange protocols, elliptic curve cryptography, and digital signatures for secure data transmission.

Covers the fundamentals of cryptography, including symmetric encryption, digital signatures, and secure communication standards.

Explores public-key cryptography, post-quantum systems, and access control mechanisms in depth.

Explores RSA encryption principles, factorization challenges, and practical applications in data security.

Explores ECDSA and BLS signature schemes, NFC credit card payment, and breaking RSA and DH cryptography.

Introduces cryptography basics, covering encryption, data integrity, error detection, digital signatures, and authentication.