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Finite Fields Package

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

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

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