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Erschienen in:
2006 | OriginalPaper | Buchkapitel
Finite Fields II: Additional Properties
Erschienen in: Field Theory
Verlag: Springer New York
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There are various ways in which to represent the elements of a finite field. Since every finite field
F
is simple, it has the form
F
=
GF
(
p
)(
α
for some
α
∈
F
and so the elements of
F
are polynomials in
α
of degree less than deg (
α
). Another way to represent the elements of a finite field is to use the fact that
GF
(
q
)* is cyclic, and so its elements are all powers of a group primitive element.