<?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>1409-2433</journal-id>
<journal-title><![CDATA[Revista de Matemática Teoría y Aplicaciones]]></journal-title>
<abbrev-journal-title><![CDATA[Rev. Mat]]></abbrev-journal-title>
<issn>1409-2433</issn>
<publisher>
<publisher-name><![CDATA[Centro de Investigaciones en Matemática Pura y Aplicada (CIMPA) y Escuela de Matemática, San José, Costa Rica.]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S1409-24332019000200253</article-id>
<article-id pub-id-type="doi">10.15517/rmta.v26i2.38317</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[Secuencias Tipo Turyn]]></article-title>
<article-title xml:lang="en"><![CDATA[Turyn Type Sequences]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Segura Ugalde]]></surname>
<given-names><![CDATA[Esteban]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Piza Volio]]></surname>
<given-names><![CDATA[Eduardo]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad de Costa Rica Escuela de Matemática Centro de Investigación en Matemática Pura y Aplicada CIMPA]]></institution>
<addr-line><![CDATA[ San José]]></addr-line>
<country>Costa Rica</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Universidad de Costa Rica Escuela de Matemática Centro de Investigación en Matemática Pura y Aplicada CIMPA]]></institution>
<addr-line><![CDATA[ San José]]></addr-line>
<country>Costa Rica</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>12</month>
<year>2019</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>12</month>
<year>2019</year>
</pub-date>
<volume>26</volume>
<numero>2</numero>
<fpage>253</fpage>
<lpage>279</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.sa.cr/scielo.php?script=sci_arttext&amp;pid=S1409-24332019000200253&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.sa.cr/scielo.php?script=sci_abstract&amp;pid=S1409-24332019000200253&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.sa.cr/scielo.php?script=sci_pdf&amp;pid=S1409-24332019000200253&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen En este artículo estudiamos fundamentalmente las denominadas secuencias tipo Turyn y algunos algoritmos heurísticos para generarlas. La importancia de estas secuencias estriba, al menos, en el hecho de que pueden ser empleadas en la construcción de algunas matrices de Hadamard de órdenes 4(3m &#8722; 1), donde m es el largo de la secuencia tipo Turyn a través del uso del teorema de Goethals-Seidal. Simplificamos la demostración del teorema de Turyn (ver Teorema 3). Además, hallamos algunos resultados teóricos interesantes (ver Teorema 5). Finalmente, desarrollamos varios algoritmos heurísticos eficientes, comparables a los algoritmos ya conocidos, que generan secuencias tipo Turyn de tamaños menores o iguales a 40.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract In this paper we study the so called Turyn type sequences and some heuristics algorithms to generate them. The importance of these sequences lies, at least, in the fact that they can be used to construct some Hadamard matrices of order 4(3m &#8722; 1), where m is the length of the Turyn type sequence through the theorem of Goethals-Seidal. We simplify the proof of Turyn&#8217;s theorem (see Theorem 3). In addition, we find some interesting theoretical results (see Theorem 5). Finally, we develop several efficient heuristic algorithms, comparable to the algorithms already known, that generate Turyn type sequences of sizes less than or equal to 40.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[secuencias tipo Turyn]]></kwd>
<kwd lng="es"><![CDATA[teorema de Goethals-Seidal]]></kwd>
<kwd lng="es"><![CDATA[matrices de Hadamard]]></kwd>
<kwd lng="es"><![CDATA[recocido simulado]]></kwd>
<kwd lng="es"><![CDATA[optimización combinatoria]]></kwd>
<kwd lng="en"><![CDATA[Turyn type sequences]]></kwd>
<kwd lng="en"><![CDATA[Goethals-Seidel theorem]]></kwd>
<kwd lng="en"><![CDATA[Hadamard matrices]]></kwd>
<kwd lng="en"><![CDATA[simulated annealing]]></kwd>
<kwd lng="en"><![CDATA[combinatorial optimization]]></kwd>
</kwd-group>
</article-meta>
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<given-names><![CDATA[Turyn]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Hadamard matrices, Baumert-Hall units, four-symbols sequences, pulse compression, and surface wave enconding]]></article-title>
<source><![CDATA[J. Combin. Theory]]></source>
<year>1974</year>
<volume>16</volume>
<numero>3</numero>
<issue>3</issue>
<page-range>313-33</page-range></nlm-citation>
</ref>
</ref-list>
</back>
</article>
