.. _sphx_glr_api_gallery_abstract_algebra_finite_fields:

Finite fields
---------------

``GF(p)`` and ``GF(p^n)`` arithmetic.


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    <div class="sphx-glr-thumbcontainer" tooltip="Finds a degree-3 irreducible polynomial over GF(2), builds the field GF(2^3) = GF(8) from it, and verifies every nonzero element has a multiplicative inverse.">

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  :doc:`/api/gallery/abstract_algebra/finite_fields/plot_01_gf8_multiplication_table`

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      <div class="sphx-glr-thumbnail-title">GF(8): finding an irreducible polynomial and building the field</div>
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   /api/gallery/abstract_algebra/finite_fields/plot_01_gf8_multiplication_table