Aufgaben:Testbereich

• Return to book

$$ \begin{array}{c}{\rm Operationen } \\{\rm modulo}\hspace{0.15cm}{\it q} = 4\\\end{array}\hspace{0.25cm} \Rightarrow\hspace{0.25cm}\text{Addition: }\left[ \begin{array}{c|cccccc} + & 0 & 1 &2 & 3 \\ \hline0 & 0 & 1 &2 & 3 \\1 & 1 & 2 &3 & 0 \\2 & 2 & 3 &0 & 1 \\3 & 3 & 0 &1 & 2\end{array} \right] \hspace{-0.1cm} ,\hspace{0.25cm}\text{Multiplikation: }\left[ \begin{array}{c|cccccc} \cdot & 0 & 1 &2 & 3 \\ \hline0 & 0 & 0 & 0 & 0 \\1 & 0 & 1 & 2 & 3 \\2 & 0 & 2 & 0 & 2 \\3 & 0 & 3 & 2 & 1 \\\end{array} \right] .$$$$\begin{tabular}{c}{\rm Operationen } \\{\rm modulo}\hspace{0.15cm}{\it q} = 4\\\end{tabular}\hspace{0.25cm} \Rightarrow\hspace{0.25cm}\begin{tabular}{c|cccccc}+ & 0 & 1 & 2 & 3 \\\hline0 & 0 & 1 & 2 & 3 \\1 & 1 & 2 & 3 & 0 \\2 & 2 & 3 & 0 & 1 \\3 & 3 & 0 & 1 & 2 \\\end{tabular}&\hspace{0.25cm}\begin{tabular}{c|cccccc}$\cdot$& 0 & 1 & 2 & 3 \\\hline0 & 0 & 0 & 0 & 0 \\1 & 0 & 1 & 2 & 3 \\2 & 0 & 2 & 0 & 2 \\3 & 0 & 3 & 2 & 1 \\\end{tabular}\hspace{0.05cm}.$$