PolynomialToElement[f, poly] gives an element in the field f corresponding to the univariate polynomial poly with integer coefficients.

PowerList[f] gives a list of the data parts of the nonzero elements of the field f.

PowerListQ[f] gives True if the list representing the powers of a primitive element of the field is used to do field arithmetic, and False otherwise.

PowerListToField[list] gives the field associated with list of element data parts list, where the elements are generated by successive powers of a primitive element.

ReduceElement[e] gives a field element in reduced form.

SetFieldFormat[f] sets the output form of elements in the field f.

Successor[e] gives the next element in a canonical ordering of the field elements.

ToElementCode[e] gives a non-negative integer code, less than the field size, associated with the element e.

A field is an algebraic structure obeying the rules of ordinary arithmetic. In particular, a field has binary operations of addition and multiplication, both of which are ...