Finite Fields
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