trunk/c_eds0/c_eds0.tex

%$Header$

\chapter[Solutions: \cedczeroxrefcomma{}Chapter \ref{cedc0}]
        {Solutions: \cedczeroxrefcomma{}Chapter \ref{cedc0}, \cedczerolongtitle{}}

\label{ceds0}

\vworkexercisechapterheader{}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\begin{vworkexercisesolution}{\ref{exe:cedc0:sexe0:01}}

\begin{figure}
\centering
\includegraphics[height=3.0in]{c_eds0/exe001.eps}
\caption{Graphical Solution To Exercise \ref{exe:cedc0:sexe0:01}}
\label{fig:ceds0:exe01:01}
\end{figure}

The relationships between the four codewords of this code can be
depicted as in Figure \ref{fig:ceds0:exe01:01}.  For example,
the Hamming distance between 0001 and 1010 is 3, and the
Hamming distance between 0110 and 1010 is 2.

Since the minimum Hamming distance $\hat{d}$ is defined as the minimum
Hamming distance between any two codewords, this distance is 2.

\end{vworkexercisesolution}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


%\vworkexerciseseparator
%\begin{vworkexercisesolution}{\ref{exe:cedc0:sexe0:01}}
%Placeholder.
%\end{vworkexercisesolution}
\vworkexercisechapterfooter


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\vfill
\noindent\begin{figure}[!b]
\noindent\rule[-0.25in]{\textwidth}{1pt}
\begin{tiny}
\begin{verbatim}
$RCSfile: c_eds0.tex,v $
$Source: /home/dashley/cvsrep/e3ft_gpl01/e3ft_gpl01/dtaipubs/esrgubka/c_eds0/c_eds0.tex,v $
$Revision: 1.3 $
$Author: dtashley $
$Date: 2002/10/31 04:02:23 $
\end{verbatim}
\end{tiny}
\noindent\rule[0.25in]{\textwidth}{1pt}
\end{figure}

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