Document ways to speed up large field construction

docs/basic-usage/array-classes.rst

@@ -21,6 +21,27 @@ A :obj:`~galois.FieldArray` subclass is created using the class factory function
  GF = galois.GF(3**5)
  print(GF.properties)
 
+.. tip::
+ :title: Speed up creation of large finite field classes
+ :collapsible:
+
+ For very large finite fields, the :obj:`~galois.FieldArray` subclass creation time can be reduced by explicitly specifying
+ :math:`p` and :math:`m`. This eliminates the need to factor the order :math:`p^m`.
+
+ .. ipython:: python
+
+ GF = galois.GF(2, 100)
+ print(GF.properties)
+
+ Furthermore, if you already know the desired irreducible polynomial is irreducible and the primitive element is a generator of
+ the multiplicative group, you can specify `verify=False` to skip the verification step. This eliminates the need to factor
+ :math:`p^m - 1`.
+
+ .. ipython:: python
+
+ GF = galois.GF(109987, 4, irreducible_poly="x^4 + 3x^2 + 100525x + 3", primitive_element="x", verify=False)
+ print(GF.properties)
+
 The `GF` class is a subclass of :obj:`~galois.FieldArray` and a subclasses of :obj:`~numpy.ndarray`.
 
 .. ipython:: python