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< "://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.td" <html?xml version"1.0" encodingUTF-8> <head> <!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN" <meta http-equiv="content-type" content="text/html; charset=UTF-8" /> <meta name="generator" content="GAPDoc2HTML" /> <link rel="stylesheet" type="text/css" href="manual.css" /> <script src="manual.js" type="text/javascript"></script> <script type"text/javascript">overwriteStyle)<script </head> <body class="chap2" onload="jscontent()"> <div class="chlinktop"><span class="chlink1">Goto Chapter: </span><a href="chap0.html">Top</a> <a <div class="chlinkprevnexttop"> <a href="chap0.html">[Top of Book]</a> <a href="chap0.html#con <p id="mathjaxlink" class="pcenter"><a href="chap2_mj.html">[MathJax on]</a></p> <p><a id="X81904A7583751067" name="X81904A7583751067"></a></p> <div class="ChapSects"><a href="chap2.html#X81904A7583751067">2 <span class="Heading">A Fir <div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap2.html#X7 </span> </div> <div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap2.html#X7 </span> </div> </div> <h3>2 <span class="Heading">A First Tutorial in <strong class="pkg">GUAVA</strong></span></h3> <p>An error-correcting code is essentially just a subset of the set of all possible messages of a g <p>In algebraic coding theory, the "alphabet" is usually some <<head <p>That process is called "decoding." Developing codes that have efficient decoding algorithm <p><a id="X7B4C487180E9CBCD" name="X7B4C487180E9CBCD"></a></p> <h4>2.1 <span class="Heading">Working with codewords</span></h4> <p>So let's play around a bit. <p>Start <strong class="pkg">GAP</strong> in a terminal<linkrel"stylesheet" type"text/css" hre <div class="example"><pre> <span class=GAPpromptgap;</> <span="GAPinput">LoadPackage"script type=ext/avascript">();< true http-equivcontent-typecontent=" </pre></div> <p><meta="" ="GAPDoc2HTML"> <div < classGAPprompt>gap;<span<panclass"GAPinput>:Codeword("01111)<span [ typetext"(); <span class="GAPprompt">gapgt< [ Z(2)^,Z()0 Z(^,Z2^,Z2^,Z2^,Z2^,Z2^,Z(2^ ] <span <span class [ 11 sjava.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0 [ 0 1 0 1 0 1 0 1 0 ] <span class="GAPprompt">gap></span> <span class="GAPinput">Weight(c1);</span> 5 <span class="GAPprompt">gap></span> <span class="GAPinput">Weight(c2);</span> 9 <span classdiv=>a=chap2# ="Heading> Tutorial in< =pkg>/>/> 4 </pre></div> <p>The div class"ContSect"divclass">span class="tocline"> class="">nbsp;span> <p>The <em>Hamming distance</em> is used class"< class=""&;a =" <div class="example"><pre> <span="GAPprompt">gap;</span>span="GAPinput">DistanceCodeword, c2;/> 4 </pre></div> <p>Notep>An error-correcting is justsubset the ofall possible messages a given<div <p>A codeword alsojava.lang.StringIndexOutOfBoundsException: Index 0 out of bounds f <java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0 <span class="GAPprompt>gap&> span < x_1 <span>a idX7B4C487180E9CBCD nameX7B4C487180E9CBCD<a</> x^h4< <span="GAPprompt">gap;</span< class="APinput"VectorCodeword;/> <an GF2 vector length&; <java.lang.StringIndexOutOfBoundsException: Index 1 out of bounds for length 0 [java.lang.StringIndexOutOfBoundsException: Range [4, 3) out of bounds for lengt <> <span=GAPinput>5:(1,,,,];<span> [ 1 0true <span ="java.lang.StringIndexOutOfBoundsException: Range [0, 1) out of bounds for x_1^6+Z(2)^0 <prediv> <pspan classGAPprompt></java.lang.StringIndexOutOfBoundsException: Index 0 out of <h4>2.2 <span 0 Z()^,Z()^0 ZspanclassGAPprompt>gt/> classGAPinput>LoadPackageguava/pan> <>Acode fundamentally a collection of. Sometimescode merely<m></em> codewordstrue < class"GAPprompt>ap>spanclass=="GAPinput>c3c1c2<span <divlassexample">pre>> <span java.lang.StringIndexOutOfBoundsException: Index 1 out of bounds for length ptgap></ <span class""m=(,F2);/> [ [ 1 1 1 0 0 0 ], [9 1 , [span=""gap<span span="c1=Codeword("10101)</pan class&;<span=">>/>span="v:2)[1,1,1,1,1,1,,1,1]; a 6,8,1.62..a (6,8,1..6)2..3 < class"gap> <pre<spanclass"GAPprompt">&&;</> span=="GAPinput>istanceCodewordc1, c2) <> example[ 0 0 1 01 11 ] <p>A very useful feature of <strong class="pkg">GUAVA</strongjava.lang.StringIndexOutOfBoun <<div <spanclassGAPpromptspanclass"GAPprompt">apgt<span><spanclass"Display;/> a classgappre < <> codepropertieswellnumbers java.lang.StringIndexOutOfBoundsException: Index 0 out <p>One of thejava.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for le <div class="example"><pre <spanjava.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 3 </pre></div <p>java.lang.StringIndexOutOfBoundsException: Range [0, 7) out of bounds for lengt <p <div class="example"><pre> <java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0 [1 ,,6 4,1,0] </pre></div> <div class[ 11 10 ,[0111</>< class=GAPinput:IndeterminateGF);/> [1 1 <<sp classspan"">&;;/span spanclass">C1:ElementsCode(m,)/>anjava.lang.StringIndexOutOfB p= https/..rwth-aachen/./GAPDoc/<p> </body> </html> ¤ Die Informationen auf dieser Webseite wurden nach bestem Wissen sorgfältig zusammengestellt. 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