<?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>0121-1935</journal-id>
<journal-title><![CDATA[Revista de Ciencias]]></journal-title>
<abbrev-journal-title><![CDATA[rev. cienc.]]></abbrev-journal-title>
<issn>0121-1935</issn>
<publisher>
<publisher-name><![CDATA[Universidad del Valle]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0121-19352017000100055</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[&#119901;-cycles, S 2 -sets and Curves with Many Points]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Garzón R.]]></surname>
<given-names><![CDATA[Álvaro]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad del Valle Departamento de Matemáticas ]]></institution>
<addr-line><![CDATA[Cali ]]></addr-line>
<country>Colombia</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>06</month>
<year>2017</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>06</month>
<year>2017</year>
</pub-date>
<volume>21</volume>
<numero>1</numero>
<fpage>55</fpage>
<lpage>78</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_arttext&amp;pid=S0121-19352017000100055&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_abstract&amp;pid=S0121-19352017000100055&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_pdf&amp;pid=S0121-19352017000100055&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract We construct S 2-sets contained in the integer interval I  q-1 = [1,q - 1] with q = &#119901;  n , &#119901; a prime number and n &#8712; Z+, by using the &#119901;-adic expansion of integers. Such sets come from considering &#119901;-cycles of length n. We give some criteria in particular cases which allow us to glue them to obtain good S 2-sets. After that we construct algebraic curves over the finite field &#120125; q with many rational points via minimal (&#120125;&#119901;, &#120125;&#119901;)-polynomials whose exponent set is an S 2-set.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[&#119901;-adic expansion]]></kwd>
<kwd lng="en"><![CDATA[S 2-sets]]></kwd>
<kwd lng="en"><![CDATA[finite field]]></kwd>
<kwd lng="en"><![CDATA[Kummer cover]]></kwd>
<kwd lng="en"><![CDATA[rational points]]></kwd>
</kwd-group>
</article-meta>
</front><back>
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