Facts about finite fields
... Extension fields. Let F be any field, and let f (x) ∈ F [x] be an irreducible polynomial of degree d with coefficients in the field F . We can create the quotient ring K = F [x]/(f (x)), which is defined to be the ring of all polynomials with coefficients in F subject to the relation f (x) = 0. Conc ...
... Extension fields. Let F be any field, and let f (x) ∈ F [x] be an irreducible polynomial of degree d with coefficients in the field F . We can create the quotient ring K = F [x]/(f (x)), which is defined to be the ring of all polynomials with coefficients in F subject to the relation f (x) = 0. Conc ...