%$Header: /home/dashley/cvsrep/e3ft_gpl01/e3ft_gpl01/dtaipubs/esrgubka/c_eds0/c_eds0.tex,v 1.3 2002/10/31 04:02:23 dtashley Exp$ \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