Elliptic Curves and Lattices

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Related lectures (32)

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Covers conditional access, encryption, decryption, authentication, and advanced encryption standards, exploring identity-based encryption, biometrics, and attribute-based encryption.

Cryptography: Tools and Techniques

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

Diffie-Hellman and ElGamal Cryptosystems

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

Elliptic Curves and Factoring

Explores elliptic curves, factoring, and their role in cryptography, emphasizing standardization and applications.

Public-Key Cryptography: ECDSA and BLS

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

Diffie-Hellman Cryptography: Key Exchange and Attacks

Explores Diffie-Hellman key exchange, DDH problem, active attacks, and cryptographic protocol challenges.

Discrete Exponentiation Complexity

Explores discrete exponentiation complexity, cyclic groups, and practical cryptography, including popular algorithms like Diffie-Hellman and RSA.

RSA: Trapdoor One-Way Functions

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

Cryptography basics: Quantum Systems

Covers the basics of cryptography, encryption, decryption, error detection, and the impact of quantum computing.

Diffie-Hellman Cryptography: Key Exchange and Fields

Explores Diffie-Hellman key exchange, group orders, Z_p field, and cryptographic challenges.