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Lecture
Are you an EPFL student looking for a semester project?
Work with us on data science and visualisation projects, and deploy your project as an app on top of Graph Search.
This lecture covers irreducible polynomials with coefficients in a field, the Eisenstein criterion, quotients of polynomial rings, the order of the quotient field, properties of finite fields, the splitting field of a polynomial, and the cyclic group of units of a finite field. It also explains how to construct a unique finite field of p^n elements as a quotient of F_p[x] over the ideal generated by an irreducible polynomial of degree n.