Aufgaben:Testbereich: Unterschied zwischen den Versionen
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$$\begin{tabular}{c} {\rm Operationen } \\ {\rm modulo}\hspace{0.15cm}{\it q} = 4\\ \end{tabular}\hspace{0.25cm} \Rightarrow\hspace{0.25cm} \begin{tabular}{c|cccccc} + & 0 & 1 & 2 & 3 \\\hline 0 & 0 & 1 & 2 & 3 \\ 1 & 1 & 2 & 3 & 0 \\ 2 & 2 & 3 & 0 & 1 \\ 3 & 3 & 0 & 1 & 2 \\ \end{tabular} &\hspace{0.25cm} \begin{tabular}{c|cccccc} $\cdot$ & 0 & 1 & 2 & 3 \\\hline 0 & 0 & 0 & 0 & 0 \\ 1 & 0 & 1 & 2 & 3 \\ 2 & 0 & 2 & 0 & 2 \\ 3 & 0 & 3 & 2 & 1 \\ \end{tabular} \hspace{0.05cm}. $$ | $$\begin{tabular}{c} {\rm Operationen } \\ {\rm modulo}\hspace{0.15cm}{\it q} = 4\\ \end{tabular}\hspace{0.25cm} \Rightarrow\hspace{0.25cm} \begin{tabular}{c|cccccc} + & 0 & 1 & 2 & 3 \\\hline 0 & 0 & 1 & 2 & 3 \\ 1 & 1 & 2 & 3 & 0 \\ 2 & 2 & 3 & 0 & 1 \\ 3 & 3 & 0 & 1 & 2 \\ \end{tabular} &\hspace{0.25cm} \begin{tabular}{c|cccccc} $\cdot$ & 0 & 1 & 2 & 3 \\\hline 0 & 0 & 0 & 0 & 0 \\ 1 & 0 & 1 & 2 & 3 \\ 2 & 0 & 2 & 0 & 2 \\ 3 & 0 & 3 & 2 & 1 \\ \end{tabular} \hspace{0.05cm}. $$ | ||
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Aktuelle Version vom 16. März 2026, 14:38 Uhr
- $$ \begin{array}{c} {\rm Operationen } \\ {\rm modulo}\hspace{0.15cm}{\it q} = 4\\ \end{array}\hspace{0.25cm} \Rightarrow\hspace{0.25cm}\text{Addition: } \left[ \begin{array}{c|cccccc} + & 0 & 1 &2 & 3 \\ \hline 0 & 0 & 1 &2 & 3 \\ 1 & 1 & 2 &3 & 0 \\ 2 & 2 & 3 &0 & 1 \\ 3 & 3 & 0 &1 & 2\end{array} \right] \hspace{-0.1cm} ,\hspace{0.25cm}\text{Multiplikation: } \left[ \begin{array}{c|cccccc} \cdot & 0 & 1 &2 & 3 \\ \hline 0 & 0 & 0 & 0 & 0 \\ 1 & 0 & 1 & 2 & 3 \\ 2 & 0 & 2 & 0 & 2 \\ 3 & 0 & 3 & 2 & 1 \\\end{array} \right] .$$
$$\begin{tabular}{c} {\rm Operationen } \\ {\rm modulo}\hspace{0.15cm}{\it q} = 4\\ \end{tabular}\hspace{0.25cm} \Rightarrow\hspace{0.25cm} \begin{tabular}{c|cccccc} + & 0 & 1 & 2 & 3 \\\hline 0 & 0 & 1 & 2 & 3 \\ 1 & 1 & 2 & 3 & 0 \\ 2 & 2 & 3 & 0 & 1 \\ 3 & 3 & 0 & 1 & 2 \\ \end{tabular} &\hspace{0.25cm} \begin{tabular}{c|cccccc} $\cdot$ & 0 & 1 & 2 & 3 \\\hline 0 & 0 & 0 & 0 & 0 \\ 1 & 0 & 1 & 2 & 3 \\ 2 & 0 & 2 & 0 & 2 \\ 3 & 0 & 3 & 2 & 1 \\ \end{tabular} \hspace{0.05cm}. $$
