<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>0034-7426</journal-id>
<journal-title><![CDATA[Revista Colombiana de Matemáticas]]></journal-title>
<abbrev-journal-title><![CDATA[Rev.colomb.mat.]]></abbrev-journal-title>
<issn>0034-7426</issn>
<publisher>
<publisher-name><![CDATA[Universidad Nacional de Colombia y Sociedad Colombiana de Matemáticas]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0034-74262022000100077</article-id>
<article-id pub-id-type="doi">10.15446/recolma.v56n1.105620</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[On quantum codes from codes over R m]]></article-title>
<article-title xml:lang="es"><![CDATA[Sobre códigos cuánticos a través de códigos sobre R m]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Mehry]]></surname>
<given-names><![CDATA[Shahram]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Malayer University  ]]></institution>
<addr-line><![CDATA[Malayer ]]></addr-line>
<country>Iran</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>06</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>06</month>
<year>2022</year>
</pub-date>
<volume>56</volume>
<numero>1</numero>
<fpage>77</fpage>
<lpage>91</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_arttext&amp;pid=S0034-74262022000100077&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_abstract&amp;pid=S0034-74262022000100077&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_pdf&amp;pid=S0034-74262022000100077&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract Let R  m = Fq[y]/&lt;y  m - 1&gt;, where m | q - 1. In this paper, we obtain the structure of linear and cyclic codes over R  m . Also, we introduce a preserving-orthogonality Gray map from R  m to F m  q . Among the main results, we obtain the exact structure of self-orthogonal cyclic codes over R  m to introduce parameters of quantum codes from cyclic codes over R  m .]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen Sea R  m = Fq[y]/&lt;y  m - 1&gt; donde m | q - 1. En este artículo, obtenemos la estructura de códigos lineales y cíclicos sobre R  m . También introducimos una aplicación de Gray de R  m a F m  q que preserva la ortogonalidad. Entre los resultados principales, obtenemos la estructura exacta de los códigos cíclicos auto-ortogonales sobre R  m para introducir parámetros de los códigos cuánticos a través de los códigos cíclicos sobre R  m .]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[Self-orthogonal codes]]></kwd>
<kwd lng="en"><![CDATA[Cyclic codes]]></kwd>
<kwd lng="en"><![CDATA[Quantum codes]]></kwd>
<kwd lng="es"><![CDATA[códigos auto-ortogonales]]></kwd>
<kwd lng="es"><![CDATA[códigos cíclicos]]></kwd>
<kwd lng="es"><![CDATA[códigos cuánticos]]></kwd>
</kwd-group>
</article-meta>
</front><back>
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