Number Theory: Foundations and Applications in Cryptography

About
Privacy
Disclaimer

Graph Chatbot

Related lectures (25)

Number Theory: History and Concepts

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

Rudiments of Number Theory

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

Modular Arithmetic: Foundations and Applications

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

Diffie-Hellman Cryptography: Key Exchange and ElGamal Encryption

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

Commutative Groups: Foundations for Cryptography

Covers commutative groups and their significance in cryptography.

Algorithms for Big Numbers: Z_n and Orders

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

Public-Key Cryptography: Key Exchange and Signatures

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

Cryptography and Information Theory

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

Modular Arithmetic: Basics and Applications

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

Euclid and Bézout: Algorithms and Theorems

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

Number Theory: Division, Remainder, Congruence

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

Public-Key Cryptography: Standards and Applications

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

Introduction to Cryptography: Fundamentals and Applications

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

Public-Key Cryptography: Post-Quantum and Access Control

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

RSA Encryption: Principles and Applications

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

Public-Key Cryptography: ECDSA and BLS

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

Cryptography Basics

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

Cryptographic Zoo: Fundamentals

Covers fundamental concepts of cryptography, including primitives, security, encryption, and authentication, exploring symmetric and public-key cryptography, key agreement, commitment schemes, and hash functions.

Cryptography: Fundamentals and Applications

Introduces the fundamentals of cryptography, covering symmetric and asymmetric encryption, hash functions, key infrastructure, and data integrity.

Cryptographic Primitives: Theory and Practice

Explores fundamental cryptographic primitives, security models, and the relationship between decryption security and key recovery security.

Page 1 of 2