<?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>S1409-24332019000200281</article-id>
<article-id pub-id-type="doi">10.15517/rmta.v26i2.38319</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[Un nuevo enfoque a la criptografía matemática usando la función discreta de ambigüedad]]></article-title>
<article-title xml:lang="en"><![CDATA[A new approach to mathematical cryptography using the discrete ambiguity]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Soto-Quirós]]></surname>
<given-names><![CDATA[Juan Pablo]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Rodríguez]]></surname>
<given-names><![CDATA[Domingo]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Instituto Tecnológico de Costa Rica  Escuela de Matemáticas]]></institution>
<addr-line><![CDATA[ Cartago]]></addr-line>
<country>Costa Rica</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Universidad de Puerto Rico en Mayagüez  Departamento de Ingeniería Eléctrica y Computadoras]]></institution>
<addr-line><![CDATA[ Mayagüez, PR]]></addr-line>
<country>Puerto Rico</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>281</fpage>
<lpage>297</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.sa.cr/scielo.php?script=sci_arttext&amp;pid=S1409-24332019000200281&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.sa.cr/scielo.php?script=sci_abstract&amp;pid=S1409-24332019000200281&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.sa.cr/scielo.php?script=sci_pdf&amp;pid=S1409-24332019000200281&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen A través de la criptografía, se desea modificar y ocultar cierta información, para que sólo algún grupo determinado de personas pueda interpretarlo por medio de una clave. Al tratar de utilizar diversos campos de la matemática para realizar este proceso, se desarrolla el concepto de criptografía matemática. La mayoría de métodos criptográficos matemáticos se concentran en teoría de números. También exiten otros métodos criptográficos en el área de física cuántica y geometría algebraica, particularmente elíptica y curvas hyperelípticas definidas sobre cuerpos y campos finitos, finito campos, entre otros. El presente trabajo introduce una nueva modalidad del aspecto de procesamiento de señales al campo de la criptografía matemática, a través de representaciones armónicas bidimensionales como lo es la función discreta de ambigüedad. Este trabajo utiliza dos definiciones equivalentes, en módulo, de la función discreta de ambigüedad. Este nuevo método criptográfico utiliza el concepto de clave simétrica para efectuar el proceso de cifrar y descifrar el mensaje.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract Through cryptography, be modified and hide certain information, so that only a certain group of people can interpret it through a key. When trying to use various fields of mathematics for this process, the concept of mathematical cryptography is developed. Most mathematical cryptographic methods focus on number theory. Also, there are other cryptographic methods in the area of quantum physics and algebraic geometry, particularly hyperelliptical curves defined over finite bodies and finite fields. This paper introduces a new method of mathematical cryptography with signal processing techniques, through of a dimensional harmonic representations such as the discrete ambiguity function. This paper uses two equivalent definitions in module discrete ambiguity function. This new cryptographic method uses the concept of symmetric key to making the process of encrypting and decrypting the message.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[función discreta de ambigüedad]]></kwd>
<kwd lng="es"><![CDATA[criptografía]]></kwd>
<kwd lng="es"><![CDATA[claves simétricas]]></kwd>
<kwd lng="es"><![CDATA[transformada discreta de Fourier]]></kwd>
<kwd lng="en"><![CDATA[discrete ambiguity function]]></kwd>
<kwd lng="en"><![CDATA[cryptography]]></kwd>
<kwd lng="en"><![CDATA[symmetric keys]]></kwd>
<kwd lng="en"><![CDATA[discrete Fourier transform.]]></kwd>
</kwd-group>
</article-meta>
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