Factoring Polynomials: Complexity and Algorithms

Related lectures (28)

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Explores practical aspects of solving parity games, including winning strategies, algorithms, complexity, determinism, and heuristic approaches.

Introduces polynomial factorization over finite fields and efficient computation of greatest common divisors of polynomials.

Introduces greatest common divisor, prime factorization, and the Euclidean Algorithm.

Explores groups and numbers, emphasizing the hidden subgroup problem and its complexities in classic and quantum algorithms.

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

Explores algorithm correctness, worst-case complexity analysis, and efficiency comparison based on input size.

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

Introduces sets, maps, divisors, prime numbers, and arithmetic principles related to integers.

Explores algorithm complexity, analyzing efficiency and worst-case scenarios of sorting algorithms.

Explores the Stein algorithm for polynomial identity testing and the minimization of a cut problem.