Aufgaben:Testbereich: Difference between revisions

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                                          3 & 0 & 3 & 2 & 1  \\
                                          3 & 0 & 3 & 2 & 1  \\
\end{array} \right] .
\end{array} \right] .
$$
$$$$\begin{tabular}{c}
 
 
$$\begin{tabular}{c}  
{\rm Operationen } \\
{\rm Operationen } \\
{\rm modulo}\hspace{0.15cm}{\it q} = 4\\
{\rm modulo}\hspace{0.15cm}{\it q} = 4\\

Revision as of 15:48, 16 March 2026


$$ \begin{array}{c}

{\rm Operationen } \\ {\rm modulo}\hspace{0.15cm}{\it q} = 4\\ \end{array}\hspace{0.25cm} \Rightarrow\hspace{0.25cm}\text{Addition: } \left[ \begin{array}{c|cccccc} + & 0 & 1 &2 & 3 \\ \hline

                                                         0 & 0 & 1 &2 & 3 \\ 
                                                         1 & 1 & 2 &3 & 0  \\ 
                                                         2 & 2 & 3 &0 & 1 \\ 
                                                         3 & 3 & 0 &1 & 2

\end{array} \right] \hspace{-0.1cm} ,\hspace{0.25cm}\text{Multiplikation: } \left[ \begin{array}{c|cccccc} \cdot & 0 & 1 &2 & 3 \\ \hline

                                                         0 & 0 & 0 & 0 & 0  \\

1 & 0 & 1 & 2 & 3 \\ 2 & 0 & 2 & 0 & 2 \\ 3 & 0 & 3 & 2 & 1 \\ \end{array} \right] . $$$$\begin{tabular}{c} {\rm Operationen } \\ {\rm modulo}\hspace{0.15cm}{\it q} = 4\\ \end{tabular}\hspace{0.25cm} \Rightarrow\hspace{0.25cm} \begin{tabular}{c|cccccc} + & 0 & 1 & 2 & 3 \\\hline 0 & 0 & 1 & 2 & 3 \\ 1 & 1 & 2 & 3 & 0 \\ 2 & 2 & 3 & 0 & 1 \\ 3 & 3 & 0 & 1 & 2 \\ \end{tabular} &\hspace{0.25cm} \begin{tabular}{c|cccccc} $\cdot$ & 0 & 1 & 2 & 3 \\\hline 0 & 0 & 0 & 0 & 0 \\ 1 & 0 & 1 & 2 & 3 \\ 2 & 0 & 2 & 0 & 2 \\ 3 & 0 & 3 & 2 & 1 \\ \end{tabular} \hspace{0.05cm}. $$