They are the finite fields of orders up to and including eight.

For example, we have the general linear groups over finite fields.

Let q be the number of elements in a finite field.

The minus sign is not necessary for some finite fields in the step.

In particular, he could take their points with values in any finite field.

Suppose that k is a local, global, or finite field.

Any two finite fields with the same order are isomorphic.

For example, if is a finite field with elements, then .

Fix a finite field where is a prime power.

"Essentially all these funds are chasing a fairly finite field of stocks."

The base ring R is taken to be the finite field .

The theory of supersymmetry has been studied in finite fields as well.

In particular, this applies to finite field extensions of K.

These are representations over a finite field of characteristic ℓ.

One can compute that K is zero for any finite field.

The case of K a finite field F is also simple to understand.

The result is a two-dimensional local field over a finite field.

Additionally, points are now computed over a finite field.

For example, coding theory makes use of matrices over finite fields.

Here are the addition and multiplication tables for the finite field Z.

As a consequence, analogues over finite fields could be defined.

Fix a finite field , whose elements we call symbols.

One important instance of the previous example is the construction of the finite fields.

First we choose a finite field F with order of at least n, but usually a power of 2.

The theory involves complicated comparisons between finite fields and the complex numbers.