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revision 139 by dashley, Thu Oct 6 03:15:02 2016 UTC revision 140 by dashley, Mon Jul 3 01:59:16 2017 UTC
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1  %$Header: /home/dashley/cvsrep/e3ft_gpl01/e3ft_gpl01/dtaipubs/esrgubka/c_eds0/c_eds0.tex,v 1.3 2002/10/31 04:02:23 dtashley Exp $  %$Header$
2    
3  \chapter[Solutions: \cedczeroxrefcomma{}Chapter \ref{cedc0}]  \chapter[Solutions: \cedczeroxrefcomma{}Chapter \ref{cedc0}]
4          {Solutions: \cedczeroxrefcomma{}Chapter \ref{cedc0}, \cedczerolongtitle{}}          {Solutions: \cedczeroxrefcomma{}Chapter \ref{cedc0}, \cedczerolongtitle{}}
5    
6  \label{ceds0}  \label{ceds0}
7    
8  \vworkexercisechapterheader{}  \vworkexercisechapterheader{}
9    
10  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
11  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
12  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
13    
14  \begin{vworkexercisesolution}{\ref{exe:cedc0:sexe0:01}}  \begin{vworkexercisesolution}{\ref{exe:cedc0:sexe0:01}}
15    
16  \begin{figure}  \begin{figure}
17  \centering  \centering
18  \includegraphics[height=3.0in]{c_eds0/exe001.eps}  \includegraphics[height=3.0in]{c_eds0/exe001.eps}
19  \caption{Graphical Solution To Exercise \ref{exe:cedc0:sexe0:01}}  \caption{Graphical Solution To Exercise \ref{exe:cedc0:sexe0:01}}
20  \label{fig:ceds0:exe01:01}  \label{fig:ceds0:exe01:01}
21  \end{figure}  \end{figure}
22    
23  The relationships between the four codewords of this code can be  The relationships between the four codewords of this code can be
24  depicted as in Figure \ref{fig:ceds0:exe01:01}.  For example,  depicted as in Figure \ref{fig:ceds0:exe01:01}.  For example,
25  the Hamming distance between 0001 and 1010 is 3, and the  the Hamming distance between 0001 and 1010 is 3, and the
26  Hamming distance between 0110 and 1010 is 2.  Hamming distance between 0110 and 1010 is 2.
27    
28  Since the minimum Hamming distance $\hat{d}$ is defined as the minimum  Since the minimum Hamming distance $\hat{d}$ is defined as the minimum
29  Hamming distance between any two codewords, this distance is 2.  Hamming distance between any two codewords, this distance is 2.
30    
31  \end{vworkexercisesolution}  \end{vworkexercisesolution}
32    
33  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
35  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
36    
37    
38  %\vworkexerciseseparator  %\vworkexerciseseparator
39  %\begin{vworkexercisesolution}{\ref{exe:cedc0:sexe0:01}}  %\begin{vworkexercisesolution}{\ref{exe:cedc0:sexe0:01}}
40  %Placeholder.  %Placeholder.
41  %\end{vworkexercisesolution}  %\end{vworkexercisesolution}
42  \vworkexercisechapterfooter  \vworkexercisechapterfooter
43    
44    
45  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
46  \vfill  \vfill
47  \noindent\begin{figure}[!b]  \noindent\begin{figure}[!b]
48  \noindent\rule[-0.25in]{\textwidth}{1pt}  \noindent\rule[-0.25in]{\textwidth}{1pt}
49  \begin{tiny}  \begin{tiny}
50  \begin{verbatim}  \begin{verbatim}
51  $RCSfile: c_eds0.tex,v $  $RCSfile: c_eds0.tex,v $
52  $Source: /home/dashley/cvsrep/e3ft_gpl01/e3ft_gpl01/dtaipubs/esrgubka/c_eds0/c_eds0.tex,v $  $Source: /home/dashley/cvsrep/e3ft_gpl01/e3ft_gpl01/dtaipubs/esrgubka/c_eds0/c_eds0.tex,v $
53  $Revision: 1.3 $  $Revision: 1.3 $
54  $Author: dtashley $  $Author: dtashley $
55  $Date: 2002/10/31 04:02:23 $  $Date: 2002/10/31 04:02:23 $
56  \end{verbatim}  \end{verbatim}
57  \end{tiny}  \end{tiny}
58  \noindent\rule[0.25in]{\textwidth}{1pt}  \noindent\rule[0.25in]{\textwidth}{1pt}
59  \end{figure}  \end{figure}
60    
61  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
62  % $Log: c_eds0.tex,v $  % $Log: c_eds0.tex,v $
63  % Revision 1.3  2002/10/31 04:02:23  dtashley  % Revision 1.3  2002/10/31 04:02:23  dtashley
64  % Evening safety checkin.  % Evening safety checkin.
65  %  %
66  % Revision 1.2  2002/10/30 02:06:13  dtashley  % Revision 1.2  2002/10/30 02:06:13  dtashley
67  % Substantial edits of error-detecting and error-correcting codes chapter.  % Substantial edits of error-detecting and error-correcting codes chapter.
68  %  %
69  % Revision 1.1  2002/10/19 02:47:51  dtashley  % Revision 1.1  2002/10/19 02:47:51  dtashley
70  % Initial checkin.  % Initial checkin.
71  %  %
72  %End of file C_EDS0.TEX  %End of file C_EDS0.TEX

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