GCD domain

Related lectures (22)

Introduces integer numbers, well-ordering, induction principles, GCD, LCM, and Bezout's theorem.

Explores polynomial roots, factorization, and the Euclidean algorithm in depth.

Introduces the course syllabus, grading scheme, and classical and quantum computation models.

Covers the analysis of measurements in the context of the Shor algorithm.

Explores cosets in commutative groups, Lagrange theorem, and integer factorization.

Covers local Noetherian rings, integrally closed domains, discrete valuations, and fraction fields.

Explores regularity, divisors, prime divisors, and uniqueness in algebraic geometry.

Covers the greatest common divisor, Euclidean algorithm, Joseph Stein's algorithm, and practical examples.

Covers the concept of algorithms, loop invariants, and examples of algorithmic problem-solving.

Explores the Euclidean algorithm, Bézout's identity, extended Euclid algorithm, and commutative groups in mathematics.

Covers the properties of the ring of Eisenstein integers and its submodule structure.

Covers algebraic structures, crystal planes with Miller indices, and coprime numbers.

Covers the construction of polynomials on a field and the concept of minimal polynomials.

Covers Shor's factoring algorithm, aiming to find integer factors efficiently using quantum computation.

Covers the fundamentals of integer optimization, including integer programming, dynamic programming, and approximation algorithms.

Explores the properties of Euclidean domains, including gcd, lcm, and the Chinese remainder theorem for polynomial rings.

Covers the Shor Algorithm for period finding and its application in factorization, discussing the circuit implementation and measurement outcomes.

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

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