Finite field calculator

This tool allows you to carry out algebraic operations on elements of a finite field.

A finite field K=FFq is a field with q=pn elements, where p is a prime number. For the case where n=1, you can also use Numerical calculator.

First give the number of elements: q = 

If q is not prime (i.e., n>1), the elements of FFq must be described by a generator x whose minimal polynomial P(x) over FFp 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