Cyclic Groups: Structure and Applications

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.

Covers commutative groups and their significance in cryptography.

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

Explores fundamental groups, homotopy classes, and coverings in connected manifolds.

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

Explores chirality, group completeness, Abelian groups, conjugate classes, and isomorphic groups in symmetry and group theory.

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

Explores finitely generated abelian groups, focusing on their structure and isomorphism theorems.

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