<?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>1665-6423</journal-id>
<journal-title><![CDATA[Journal of applied research and technology]]></journal-title>
<abbrev-journal-title><![CDATA[J. appl. res. technol]]></abbrev-journal-title>
<issn>1665-6423</issn>
<publisher>
<publisher-name><![CDATA[Universidad Nacional Autónoma de México, Instituto de Ciencias Aplicadas y Tecnología]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S1665-64232013000300003</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[High-Speed Decoding of the Binary Golay Code]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Lee]]></surname>
<given-names><![CDATA[H. P.]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Chang]]></surname>
<given-names><![CDATA[C. H.]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Chu]]></surname>
<given-names><![CDATA[S. I.]]></given-names>
</name>
<xref ref-type="aff" rid="A02"/>
</contrib>
</contrib-group>
<aff id="A01">
<institution><![CDATA[,Fortune Institute of Technology Department of Computer Science and Information Engineering ]]></institution>
<addr-line><![CDATA[Taiwan ]]></addr-line>
</aff>
<aff id="A02">
<institution><![CDATA[,National Kaohsiung University of Applied Sciences Department of Electronic Engineering ]]></institution>
<addr-line><![CDATA[Taiwan ]]></addr-line>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>06</month>
<year>2013</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>06</month>
<year>2013</year>
</pub-date>
<volume>11</volume>
<numero>3</numero>
<fpage>331</fpage>
<lpage>337</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S1665-64232013000300003&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S1665-64232013000300003&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S1665-64232013000300003&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[Recently, some table-lookup decoding algorithms (TLDAs) have been used to correct the binary Golay code. This paper proposes an efficient high-speed TLDA called message-syndrome decoding algorithm (MSDA) by using the message syndrome to correct the binary systematic Golay code. The proposed MSDA is based on the novel message-syndrome lookup table (MSLT). The MSLT merely consists of 12 candidate syndromes and its memory size is significantly smaller than other existing lookup tables. Computer software simulation results show that the decoding speed of the proposed MSDA is superior to other proposed TLDAs.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[Golay code]]></kwd>
<kwd lng="en"><![CDATA[weight]]></kwd>
<kwd lng="en"><![CDATA[syndrome]]></kwd>
<kwd lng="en"><![CDATA[error pattern]]></kwd>
</kwd-group>
</article-meta>
</front><body><![CDATA[  	    <p align="center"><font face="verdana" size="4"><b>High&#45;Speed Decoding of the Binary Golay Code</b></font></p>  	    <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>  	    <p align="center"><font face="verdana" size="2"><b>H. P. Lee,*<sup>1</sup> C. H. Chang,<sup>1</sup> S. I. Chu<sup>2</sup></b></font></p>  	    <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>  	    <p align="justify"><font face="verdana" size="2"><sup>1</sup><i> Department of Computer Science and Information Engineering, Fortune Institute of Technology, Kaohsiung 83160, Taiwan.</i> *<a href="mailto:hpl@fotech.edu.tw">hpl@fotech.edu.tw</a>.</font></p>  	    <p align="justify"><font face="verdana" size="2"><sup>2</sup><i> Department of Electronic Engineering, National Kaohsiung University of Applied Sciences, Kaohsiung 807, Taiwan.</i></font></p>  	    <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>  	    <p align="justify"><font face="verdana" size="2"><b>ABSTRACT</b></font></p>  	    <p align="justify"><font face="verdana" size="2">Recently, some table&#45;lookup decoding algorithms (TLDAs) have been used to correct the binary Golay code. This paper proposes an efficient high&#45;speed TLDA called message&#45;syndrome decoding algorithm (MSDA) by using the message syndrome to correct the binary systematic Golay code. The proposed MSDA is based on the novel message&#45;syndrome lookup table (MSLT). The MSLT merely consists of 12 candidate syndromes and its memory size is significantly smaller than other existing lookup tables. Computer software simulation results show that the decoding speed of the proposed MSDA is superior to other proposed TLDAs.</font></p>  	    ]]></body>
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