Cryptography and Information Theory

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Related lectures (28)

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Covers prime numbers, RSA cryptography, and primality testing, including the Chinese Remainder Theorem and the Miller-Rabin test.

RSA Cryptosystem: Encryption and Decryption Process

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

Diffie-Hellman and ElGamal Cryptosystems

Explores Diffie-Hellman key exchange, ElGamal cryptosystem, and their security applications 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.

Elementary Algebra: Numeric Sets

Explores elementary algebra concepts related to numeric sets and prime numbers, including unique factorization and properties.

Introduction to Cryptography: Fundamentals and Applications

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

RSA: Trapdoor One-Way Functions

Explores RSA encryption, trapdoor functions, hash functions, and cryptographic standards, including a practical example with Apple's iMessage implementation.

Diffie-Hellman Key Exchange

Explores the Diffie-Hellman key exchange protocol, covering computational challenges, subgroup issues, and key wrapping in RFC 2631.

Universal Property of Groups

Explores the universal property of groups, defining homomorphisms and exploring subgroup properties.

Cryptography: Tools and Techniques

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