.. _sphx_glr_api_gallery_abstract_algebra_codes:

Error-correcting codes
----------------------

Reed-Solomon codes: polynomial evaluation over a finite field, and
recovery from erasures.


.. raw:: html

  <div id='sg-tag-list' class='sphx-glr-tag-list'></div>


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    <div class="sphx-glr-thumbnails">

.. thumbnail-parent-div-open

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    <div class="sphx-glr-thumbcontainer" tooltip="Encodes a short message as the values of a polynomial over GF(929), erases symbols at random, and recovers the message from any k surviving values.">

.. only:: html

  .. image:: /api/gallery/abstract_algebra/codes/images/thumb/sphx_glr_plot_01_reed_solomon_erasures_thumb.png
    :alt:

  :doc:`/api/gallery/abstract_algebra/codes/plot_01_reed_solomon_erasures`

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      <div class="sphx-glr-thumbnail-title">Reed-Solomon codes: recovering from erasures</div>
    </div>


.. thumbnail-parent-div-close

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    </div>


.. toctree::
   :hidden:

   /api/gallery/abstract_algebra/codes/plot_01_reed_solomon_erasures