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Math 6310 • Algebra

Summer 2020 • Question 7

Question

Math 6310 • Algebra Summer 2020 • Question 7

Find a polynomial \(f(x)\in \mathbb {F}_2[x]\) such that \(\mathbb {F}_2[x]/f(x)\) is a field with 8 elements.

Raw LaTeX

Find a polynomial \(f(x)\in\mathbb{F}_2[x]\) such that \(\mathbb{F}_2[x]/f(x)\) is a field with
8 elements.

Topic Tags

Finite Fields Galois Groups of Polynomials Irreducible Polynomials Polynomial Rings and Ring Homomorphism Kernels

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