Prime Numbers and Primality Testing

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Diffie-Hellman and ElGamal Cryptosystems

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

Cartesian Product and Induction

Introduces Cartesian product and induction for proofs using integers and sets.

Fermat's Little Theorem: Applications and Probabilities

Explores Fermat's Little Theorem applications and probabilities in primality testing.

Generator of a Group

Explores checking a generator of a group, the Diffie-Hellman key exchange, and cryptographic algorithms.

RSA Cryptography: Computational Problems

Explores RSA cryptography computational problems, finite fields construction, and computational challenges in RSA cryptography.

Cyclic Groups: Structure and Applications

Explores cyclic groups, generators, isomorphisms, and the discrete logarithm problem in depth, highlighting their importance and applications.

Probability Convergence

Explores probability convergence, discussing conditions for random variable sequences to converge and the uniqueness of convergence.

Course Overview: Teaser on Course Contents

Offers an overview of propositional and predicate logic, sets, functions, relations, algorithms, Swiss cities, sorting tables, Covid infections, poker hands, and prime numbers.

Cryptography and Information Theory

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

Number Theory: History and Concepts

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