A finite field K=_{q} is a field with *q*=*p*^{n}
elements, where *p* is a prime number.
For the case where *n*=1, you can also use
.

First give the number of elements:
*q* =

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If *q* is not prime (i.e., *n*>1), the elements of
_{q} must be described by a generator x whose minimal
polynomial *P*(x) over _{p} is irreducible of degree *n*.
In this case, you should define:

*P*(x) =

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Description: computes elements in a finite field. interactive exercises, online calculators and plotters, mathematical recreation and games

Keywords: interactive mathematics, interactive math, server side interactivity, number, algebra, calculator, finite characteristique, finite field, primitive element