galois-fields.rst

Galois Fields

This section contains classes and functions for creating Galois field arrays.

.. currentmodule:: galois

Galois field class creation

Class factory functions

.. autosummary::
   :toctree:

   GF
   Field

Abstract base classes

.. autosummary::
   :template: class.rst
   :toctree:

   FieldArray
   FieldClass

Pre-made Galois field classes

.. autosummary::
   :template: class_only_init.rst
   :toctree:

   GF2

Prime field functions

Primitive roots

.. autosummary::
   :toctree:

   primitive_root
   primitive_roots
   is_primitive_root

Extension field functions

Irreducible polynomials

.. autosummary::
   :toctree:

   irreducible_poly
   irreducible_polys
   is_irreducible

Primitive polynomials

.. autosummary::
   :toctree:

   primitive_poly
   primitive_polys
   conway_poly
   matlab_primitive_poly
   is_primitive

Primitive elements

.. autosummary::
   :toctree:

   primitive_element
   primitive_elements
   is_primitive_element