Finite Fields and Field Embeddings

FiniteField — represent a finite field

FiniteFieldElement — represent an element of a finite field

FiniteFieldEmbedding — an embedding of a finite field in another finite field

FrobeniusAutomorphism — Frobenius automorphism of a finite field

FiniteFieldElementTrace  ▪  FiniteFieldElementNorm  ▪  MinimalPolynomial  ▪  MultiplicativeOrder  ▪  FiniteFieldElementPrimitiveQ

Polynomials over Finite Fields

Factor — factor a polynomial over a finite field

PolynomialGCD — find the GCD of polynomials with coefficients from a finite field

FactorList  ▪  FactorSquareFree  ▪  FactorSquareFreeList  ▪  PolynomialLCM  ▪  PolynomialExtendedGCD  ▪  Expand  ▪  Together  ▪  Cancel  ▪  IrreduciblePolynomialQ  ▪  PolynomialQuotient  ▪  PolynomialRemainder  ▪  PolynomialQuotientRemainder  ▪  Resultant  ▪  Discriminant