Finite Fields: Properties and Applications

Related lectures (28)

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Explores complex roots, polynomials, and factorizations, including roots of unity and the fundamental theorem of algebra.

Introduces the basics of polynomials on a field, focusing on definitions, operations, and properties.

Introduces Reed Solomon Codes, their applications, polynomial definitions, interpolation, roots, and the Fundamental Theorem of Algebra.

Explores complex polynomials, factorization, roots of equations, equilateral triangles, and infinite sums in sequences.

Introduces abstract concepts in linear algebra, focusing on operations with vectors and matrices.

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

Explores polynomials, their operations, and the concept of ideals in polynomial rings.

Covers irreducible polynomials, fundamental theorem of algebra, and factorization in complex and real polynomials.

Explores the process of division euclidienne in polynomials, emphasizing the importance of polynomial degrees during operations.

Covers polynomial identity testing using oracles and random point evaluation, with applications in graph theory and algorithmic aspects.