Plus, Times, D — operators overloaded by the Finite Fields Package

GF — represent a Galois field using its characteristic and irreducible polynomial coefficients

SetFieldFormat — set the output form of elements in a field

FunctionOfCode  ▪  FunctionOfCoefficients

Characteristic — prime characteristic of a field

ExtensionDegree — extension degree of a field over its base field

FieldIrreducible — univariate irreducible polynomial associated with a field

IrreduciblePolynomial — univariate irreducible polynomial of a given degree

Element Manipulation

Successor — next element in a canonical ordering of a field's elements

ReduceElement — element of a field in reduced form

ToElementCode — non-negative integer associated with a specified element in a field

FromElementCode — element of a given field associated with a specified integer

PolynomialToElement — field element corresponding to given polynomial coefficients

ElementToPolynomial — univariate polynomial corresponding to a given field element

FieldExp — value of the exponential function associated with a field for a given integer

FieldInd — power to which the primitive element must be raised to get a specified element

PowerList — data parts of nonzero elements of a field

PowerListToField — field object based on a list of the type produced by PowerList

PowerListQ  ▪  PerfectPowerQ