Lecture

Number Theory: Modular Exponentiation Examples

Related lectures (28)

Covers prime numbers, primality testing algorithms, modular arithmetic, and efficient exponentiation methods.

Explores optimizing exponentiation in modular arithmetic for efficient calculations and prime number determination.

Explores prime numbers, modular arithmetic, Wilson's theorem, and complexity analysis.

Covers the fast exponentiation algorithm and its time complexity, prime number properties, and the El-Gamal encryption scheme.

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

Introduces deterministic approaches to identify prime numbers and covers algorithms and modular arithmetic for prime number testing.

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

Explores the Chinese Remainders Theorem, RSA public-key cryptosystem, bijective properties, and key generation for encryption and decryption.

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

Explores Fermat's Little Theorem, its extensions, primality testing algorithms, and the significance of prime numbers in cryptography.

Covers binary addition, prime numbers, and the sieve of Eratosthenes in number theory.

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

Delves into the complexity of factoring polynomials and the implications for security.

Explores prime numbers and Euclid's Theorem through a proof by contradiction.

Covers commutative groups and their significance in cryptography.

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

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

Explores methods and algorithms for integer factorization, including testing for B smoothness and computing small primes.

Explores prime number generation, Diffie-Hellman key exchange, and one-way operations in cryptography with practical examples.

Explores the proof of the Prime Number Theorem and its implications in number theory.