Examples for

Finite Fields

A finite field is a finite set of elements for which addition and multiplication are well defined and field axioms are satisfied. Also called Galois fields, finite fields are often used in cryptography and error checking. For finite fields, Wolfram|Alpha produces the multiplication and addition tables and the primitive and characteristic polynomials, along with several other properties.
Finite Fields

Find information about a finite field of a given order.

Compute properties of a finite field:

Z/7Z
GF(8)
GF(101)

Compute a specific property:

number of primitive polynomials of GF(3125)
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