new drawings

5 files changed, 591 insertions, 1 deletions

diff --git a/buch/chapters/90-crypto/images/Makefile b/buch/chapters/90-crypto/images/Makefile
index 9480163..bbb960f 100644
--- a/buch/chapters/90-crypto/images/Makefile
+++ b/buch/chapters/90-crypto/images/Makefile
@@ -3,7 +3,7 @@
 #
 # (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
 #
-all:	dh.pdf elliptic.pdf
+all:	dh.pdf elliptic.pdf schieberegister.pdf multiplikation.pdf
 
 dh.pdf:	dh.tex
 	pdflatex dh.tex
@@ -11,3 +11,9 @@ dh.pdf:	dh.tex
 elliptic.pdf:	elliptic.tex
 	pdflatex elliptic.tex
 
+schieberegister.pdf:	schieberegister.tex
+	pdflatex schieberegister.tex
+
+multiplikation.pdf:	multiplikation.tex
+	pdflatex multiplikation.tex
+
diff --git a/buch/chapters/90-crypto/images/multiplikation.pdf b/buch/chapters/90-crypto/images/multiplikation.pdf
new file mode 100644
index 0000000..86345b8
--- /dev/null
+++ b/buch/chapters/90-crypto/images/multiplikation.pdf
diff --git a/buch/chapters/90-crypto/images/multiplikation.tex b/buch/chapters/90-crypto/images/multiplikation.tex
new file mode 100644
index 0000000..27c4329
--- /dev/null
+++ b/buch/chapters/90-crypto/images/multiplikation.tex
@@ -0,0 +1,464 @@
+%
+% multiplikation.tex -- 
+%
+% (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
+%
+\documentclass[tikz]{standalone}
+\usepackage{amsmath}
+\usepackage{times}
+\usepackage{txfonts}
+\usepackage{pgfplots}
+\usepackage{csvsimple}
+\usetikzlibrary{arrows,intersections,math}
+\begin{document}
+\def\skala{1}
+\begin{tikzpicture}[>=latex,thick,scale=\skala]
+
+\definecolor{darkgreen}{rgb}{0,0.6,0}
+
+\def\s{0.45}
+
+\def\punkt#1#2{({#1*\s},{#2*\s})}
+
+\def\pfeile{
+	\foreach \x in {0.5,1.5,...,7.5}{
+		\draw[->,color=blue] \punkt{\x}{-2.1} -- \punkt{(\x-1)}{-3.3};
+	}
+}
+
+\begin{scope}[yshift=0.1cm]
+	\node at \punkt{0}{0.5} [left] {$p(X)=\mathstrut$};
+	\draw \punkt{0}{0} rectangle \punkt{8}{1};
+	\foreach \x in {1,...,7}{
+		\draw \punkt{\x}{0} -- \punkt{\x}{1};
+	}
+	\node at \punkt{0.5}{0.5} {\texttt{1}};
+	\node at \punkt{1.5}{0.5} {\texttt{0}};
+	\node at \punkt{2.5}{0.5} {\texttt{0}};
+	\node at \punkt{3.5}{0.5} {\texttt{1}};
+	\node at \punkt{4.5}{0.5} {\texttt{0}};
+	\node at \punkt{5.5}{0.5} {\texttt{1}};
+	\node at \punkt{6.5}{0.5} {\texttt{0}};
+	\node at \punkt{7.5}{0.5} {\texttt{1}};
+	\foreach \x in {0.5,1.5,...,7.5}{
+		\draw[->,color=blue] \punkt{\x}{-0.1} -- \punkt{(\x-1)}{-1.3};
+	}
+\end{scope}
+
+\begin{scope}[yshift=-1cm]
+	\draw[<-] \punkt{8.2}{-1.3} arc (-30:30:1.8);
+	\node at \punkt{9.3}{0.6} {$\mathstrut\cdot X$};
+	\fill[color=blue!20] \punkt{-1}{0} rectangle \punkt{0}{1};
+	\draw \punkt{0}{0} rectangle \punkt{8}{1};
+	\foreach \x in {1,...,7}{
+		\draw \punkt{\x}{0} -- \punkt{\x}{1};
+	}
+	\node[color=darkgreen] at \punkt{-0.5}{0.5} {\texttt{1}};
+	\node at \punkt{0.5}{0.5} {\texttt{0}};
+	\node at \punkt{1.5}{0.5} {\texttt{0}};
+	\node at \punkt{2.5}{0.5} {\texttt{1}};
+	\node at \punkt{3.5}{0.5} {\texttt{0}};
+	\node at \punkt{4.5}{0.5} {\texttt{1}};
+	\node at \punkt{5.5}{0.5} {\texttt{0}};
+	\node at \punkt{6.5}{0.5} {\texttt{1}};
+	\node at \punkt{7.5}{0.5} {\texttt{0}};
+
+	\draw[->,color=darkgreen]
+		\punkt{-0.5}{0.1} -- \punkt{-0.5}{-0.5} -- \punkt{3.1}{-0.5};
+	\node[color=darkgreen] at \punkt{3.5}{-0.5} {\texttt{1}};
+	\node[color=darkgreen] at \punkt{4.5}{-0.5} {\texttt{1}};
+	\node[color=darkgreen] at \punkt{6.5}{-0.5} {\texttt{1}};
+	\node[color=darkgreen] at \punkt{7.5}{-0.5} {\texttt{1}};
+
+	\draw \punkt{0}{-2} rectangle \punkt{8}{-1};
+	\foreach \x in {1,...,7}{
+		\draw \punkt{\x}{-2} -- \punkt{\x}{-1};
+	}
+	\node at \punkt{0.5}{-1.5} {\texttt{0}};
+	\node at \punkt{1.5}{-1.5} {\texttt{0}};
+	\node at \punkt{2.5}{-1.5} {\texttt{1}};
+	\node at \punkt{3.5}{-1.5} {\texttt{1}};
+	\node at \punkt{4.5}{-1.5} {\texttt{0}};
+	\node at \punkt{5.5}{-1.5} {\texttt{0}};
+	\node at \punkt{6.5}{-1.5} {\texttt{0}};
+	\node at \punkt{7.5}{-1.5} {\texttt{1}};
+
+	\pfeile
+\end{scope}
+
+\begin{scope}[yshift=-3cm]
+	\draw[<-] \punkt{8.2}{-1.3} arc (-30:30:1.8);
+	\node at \punkt{9.3}{0.6} {$\mathstrut\cdot X$};
+	\fill[color=blue!20] \punkt{-1}{0} rectangle \punkt{0}{1};
+	\draw \punkt{0}{0} rectangle \punkt{8}{1};
+	\foreach \x in {1,...,7}{
+		\draw \punkt{\x}{0} -- \punkt{\x}{1};
+	}
+	\node[color=darkgreen] at \punkt{-0.5}{0.5} {\texttt{0}};
+	\node at \punkt{0.5}{0.5} {\texttt{0}};
+	\node at \punkt{1.5}{0.5} {\texttt{1}};
+	\node at \punkt{2.5}{0.5} {\texttt{1}};
+	\node at \punkt{3.5}{0.5} {\texttt{0}};
+	\node at \punkt{4.5}{0.5} {\texttt{0}};
+	\node at \punkt{5.5}{0.5} {\texttt{0}};
+	\node at \punkt{6.5}{0.5} {\texttt{1}};
+	\node at \punkt{7.5}{0.5} {\texttt{0}};
+
+%	\draw[->,color=darkgreen]
+%		\punkt{-0.5}{0.1} -- \punkt{-0.5}{-0.5} -- \punkt{3.1}{-0.5};
+%	\node[color=darkgreen] at \punkt{3.5}{-0.5} {\texttt{1}};
+%	\node[color=darkgreen] at \punkt{4.5}{-0.5} {\texttt{1}};
+%	\node[color=darkgreen] at \punkt{6.5}{-0.5} {\texttt{1}};
+%	\node[color=darkgreen] at \punkt{7.5}{-0.5} {\texttt{1}};
+	\node[color=darkgreen] at \punkt{4}{-0.5} {$\|$};
+
+	\draw \punkt{0}{-2} rectangle \punkt{8}{-1};
+	\foreach \x in {1,...,7}{
+		\draw \punkt{\x}{-2} -- \punkt{\x}{-1};
+	}
+	\node at \punkt{0.5}{-1.5} {\texttt{0}};
+	\node at \punkt{1.5}{-1.5} {\texttt{1}};
+	\node at \punkt{2.5}{-1.5} {\texttt{1}};
+	\node at \punkt{3.5}{-1.5} {\texttt{0}};
+	\node at \punkt{4.5}{-1.5} {\texttt{0}};
+	\node at \punkt{5.5}{-1.5} {\texttt{0}};
+	\node at \punkt{6.5}{-1.5} {\texttt{1}};
+	\node at \punkt{7.5}{-1.5} {\texttt{0}};
+
+	\pfeile
+\end{scope}
+
+\begin{scope}[yshift=-5cm]
+	\draw[<-] \punkt{8.2}{-1.3} arc (-30:30:1.8);
+	\node at \punkt{9.3}{0.6} {$\mathstrut\cdot X$};
+	\fill[color=blue!20] \punkt{-1}{0} rectangle \punkt{0}{1};
+	\draw \punkt{0}{0} rectangle \punkt{8}{1};
+	\foreach \x in {1,...,7}{
+		\draw \punkt{\x}{0} -- \punkt{\x}{1};
+	}
+	\node[color=darkgreen] at \punkt{-0.5}{0.5} {\texttt{0}};
+	\node at \punkt{0.5}{0.5} {\texttt{1}};
+	\node at \punkt{1.5}{0.5} {\texttt{1}};
+	\node at \punkt{2.5}{0.5} {\texttt{0}};
+	\node at \punkt{3.5}{0.5} {\texttt{0}};
+	\node at \punkt{4.5}{0.5} {\texttt{0}};
+	\node at \punkt{5.5}{0.5} {\texttt{1}};
+	\node at \punkt{6.5}{0.5} {\texttt{0}};
+	\node at \punkt{7.5}{0.5} {\texttt{0}};
+
+%	\draw[->,color=darkgreen]
+%		\punkt{-0.5}{0.1} -- \punkt{-0.5}{-0.5} -- \punkt{3.1}{-0.5};
+%	\node[color=darkgreen] at \punkt{3.5}{-0.5} {\texttt{1}};
+%	\node[color=darkgreen] at \punkt{4.5}{-0.5} {\texttt{1}};
+%	\node[color=darkgreen] at \punkt{6.5}{-0.5} {\texttt{1}};
+%	\node[color=darkgreen] at \punkt{7.5}{-0.5} {\texttt{1}};
+	\node[color=darkgreen] at \punkt{4}{-0.5} {$\|$};
+
+	\draw \punkt{0}{-2} rectangle \punkt{8}{-1};
+	\foreach \x in {1,...,7}{
+		\draw \punkt{\x}{-2} -- \punkt{\x}{-1};
+	}
+	\node at \punkt{0.5}{-1.5} {\texttt{1}};
+	\node at \punkt{1.5}{-1.5} {\texttt{1}};
+	\node at \punkt{2.5}{-1.5} {\texttt{0}};
+	\node at \punkt{3.5}{-1.5} {\texttt{0}};
+	\node at \punkt{4.5}{-1.5} {\texttt{0}};
+	\node at \punkt{5.5}{-1.5} {\texttt{1}};
+	\node at \punkt{6.5}{-1.5} {\texttt{0}};
+	\node at \punkt{7.5}{-1.5} {\texttt{0}};
+
+	\pfeile
+\end{scope}
+
+\begin{scope}[yshift=-7cm]
+	\draw[<-] \punkt{8.2}{-1.3} arc (-30:30:1.8);
+	\node at \punkt{9.3}{0.6} {$\mathstrut\cdot X$};
+	\fill[color=blue!20] \punkt{-1}{0} rectangle \punkt{0}{1};
+	\draw \punkt{0}{0} rectangle \punkt{8}{1};
+	\foreach \x in {1,...,7}{
+		\draw \punkt{\x}{0} -- \punkt{\x}{1};
+	}
+	\node[color=darkgreen] at \punkt{-0.5}{0.5} {\texttt{1}};
+	\node at \punkt{0.5}{0.5} {\texttt{1}};
+	\node at \punkt{1.5}{0.5} {\texttt{0}};
+	\node at \punkt{2.5}{0.5} {\texttt{0}};
+	\node at \punkt{3.5}{0.5} {\texttt{0}};
+	\node at \punkt{4.5}{0.5} {\texttt{1}};
+	\node at \punkt{5.5}{0.5} {\texttt{0}};
+	\node at \punkt{6.5}{0.5} {\texttt{0}};
+	\node at \punkt{7.5}{0.5} {\texttt{0}};
+
+	\draw[->,color=darkgreen]
+		\punkt{-0.5}{0.1} -- \punkt{-0.5}{-0.5} -- \punkt{3.1}{-0.5};
+	\node[color=darkgreen] at \punkt{3.5}{-0.5} {\texttt{1}};
+	\node[color=darkgreen] at \punkt{4.5}{-0.5} {\texttt{1}};
+	\node[color=darkgreen] at \punkt{6.5}{-0.5} {\texttt{1}};
+	\node[color=darkgreen] at \punkt{7.5}{-0.5} {\texttt{1}};
+%	\node[color=darkgreen] at \punkt{4}{-0.5} {$\|$};
+
+	\draw \punkt{0}{-2} rectangle \punkt{8}{-1};
+	\foreach \x in {1,...,7}{
+		\draw \punkt{\x}{-2} -- \punkt{\x}{-1};
+	}
+	\node at \punkt{0.5}{-1.5} {\texttt{1}};
+	\node at \punkt{1.5}{-1.5} {\texttt{0}};
+	\node at \punkt{2.5}{-1.5} {\texttt{0}};
+	\node at \punkt{3.5}{-1.5} {\texttt{1}};
+	\node at \punkt{4.5}{-1.5} {\texttt{0}};
+	\node at \punkt{5.5}{-1.5} {\texttt{0}};
+	\node at \punkt{6.5}{-1.5} {\texttt{1}};
+	\node at \punkt{7.5}{-1.5} {\texttt{1}};
+
+	\pfeile
+\end{scope}
+
+\begin{scope}[yshift=-9cm]
+	\draw[<-] \punkt{8.2}{-1.3} arc (-30:30:1.8);
+	\node at \punkt{9.3}{0.6} {$\mathstrut\cdot X$};
+	\fill[color=blue!20] \punkt{-1}{0} rectangle \punkt{0}{1};
+	\draw \punkt{0}{0} rectangle \punkt{8}{1};
+	\foreach \x in {1,...,7}{
+		\draw \punkt{\x}{0} -- \punkt{\x}{1};
+	}
+	\node[color=darkgreen] at \punkt{-0.5}{0.5} {\texttt{1}};
+	\node at \punkt{0.5}{0.5} {\texttt{0}};
+	\node at \punkt{1.5}{0.5} {\texttt{0}};
+	\node at \punkt{2.5}{0.5} {\texttt{1}};
+	\node at \punkt{3.5}{0.5} {\texttt{0}};
+	\node at \punkt{4.5}{0.5} {\texttt{0}};
+	\node at \punkt{5.5}{0.5} {\texttt{1}};
+	\node at \punkt{6.5}{0.5} {\texttt{1}};
+	\node at \punkt{7.5}{0.5} {\texttt{0}};
+
+	\draw[->,color=darkgreen]
+		\punkt{-0.5}{0.1} -- \punkt{-0.5}{-0.5} -- \punkt{3.1}{-0.5};
+	\node[color=darkgreen] at \punkt{3.5}{-0.5} {\texttt{1}};
+	\node[color=darkgreen] at \punkt{4.5}{-0.5} {\texttt{1}};
+	\node[color=darkgreen] at \punkt{6.5}{-0.5} {\texttt{1}};
+	\node[color=darkgreen] at \punkt{7.5}{-0.5} {\texttt{1}};
+%	\node[color=darkgreen] at \punkt{4}{-0.5} {$\|$};
+
+	\draw \punkt{0}{-2} rectangle \punkt{8}{-1};
+	\foreach \x in {1,...,7}{
+		\draw \punkt{\x}{-2} -- \punkt{\x}{-1};
+	}
+	\node at \punkt{0.5}{-1.5} {\texttt{0}};
+	\node at \punkt{1.5}{-1.5} {\texttt{0}};
+	\node at \punkt{2.5}{-1.5} {\texttt{1}};
+	\node at \punkt{3.5}{-1.5} {\texttt{1}};
+	\node at \punkt{4.5}{-1.5} {\texttt{1}};
+	\node at \punkt{5.5}{-1.5} {\texttt{1}};
+	\node at \punkt{6.5}{-1.5} {\texttt{0}};
+	\node at \punkt{7.5}{-1.5} {\texttt{1}};
+
+	\pfeile
+\end{scope}
+
+\begin{scope}[yshift=-11cm]
+	\draw[<-] \punkt{8.2}{-1.3} arc (-30:30:1.8);
+	\node at \punkt{9.3}{0.6} {$\mathstrut\cdot X$};
+	\fill[color=blue!20] \punkt{-1}{0} rectangle \punkt{0}{1};
+	\draw \punkt{0}{0} rectangle \punkt{8}{1};
+	\foreach \x in {1,...,7}{
+		\draw \punkt{\x}{0} -- \punkt{\x}{1};
+	}
+	\node[color=darkgreen] at \punkt{-0.5}{0.5} {\texttt{0}};
+	\node at \punkt{0.5}{0.5} {\texttt{0}};
+	\node at \punkt{1.5}{0.5} {\texttt{0}};
+	\node at \punkt{2.5}{0.5} {\texttt{1}};
+	\node at \punkt{3.5}{0.5} {\texttt{1}};
+	\node at \punkt{4.5}{0.5} {\texttt{1}};
+	\node at \punkt{5.5}{0.5} {\texttt{0}};
+	\node at \punkt{6.5}{0.5} {\texttt{1}};
+	\node at \punkt{7.5}{0.5} {\texttt{0}};
+
+%	\draw[->,color=darkgreen]
+%		\punkt{-0.5}{0.1} -- \punkt{-0.5}{-0.5} -- \punkt{3.1}{-0.5};
+%	\node[color=darkgreen] at \punkt{3.5}{-0.5} {\texttt{1}};
+%	\node[color=darkgreen] at \punkt{4.5}{-0.5} {\texttt{1}};
+%	\node[color=darkgreen] at \punkt{6.5}{-0.5} {\texttt{1}};
+%	\node[color=darkgreen] at \punkt{7.5}{-0.5} {\texttt{1}};
+	\node[color=darkgreen] at \punkt{4}{-0.5} {$\|$};
+
+	\draw \punkt{0}{-2} rectangle \punkt{8}{-1};
+	\foreach \x in {1,...,7}{
+		\draw \punkt{\x}{-2} -- \punkt{\x}{-1};
+	}
+	\node at \punkt{0.5}{-1.5} {\texttt{0}};
+	\node at \punkt{1.5}{-1.5} {\texttt{0}};
+	\node at \punkt{2.5}{-1.5} {\texttt{1}};
+	\node at \punkt{3.5}{-1.5} {\texttt{1}};
+	\node at \punkt{4.5}{-1.5} {\texttt{1}};
+	\node at \punkt{5.5}{-1.5} {\texttt{0}};
+	\node at \punkt{6.5}{-1.5} {\texttt{1}};
+	\node at \punkt{7.5}{-1.5} {\texttt{0}};
+
+	\pfeile
+\end{scope}
+
+\begin{scope}[yshift=-13cm]
+	\draw[<-] \punkt{8.2}{-1.3} arc (-30:30:1.8);
+	\node at \punkt{9.3}{0.6} {$\mathstrut\cdot X$};
+	\fill[color=blue!20] \punkt{-1}{0} rectangle \punkt{0}{1};
+	\draw \punkt{0}{0} rectangle \punkt{8}{1};
+	\foreach \x in {1,...,7}{
+		\draw \punkt{\x}{0} -- \punkt{\x}{1};
+	}
+	\node[color=darkgreen] at \punkt{-0.5}{0.5} {\texttt{0}};
+	\node at \punkt{0.5}{0.5} {\texttt{0}};
+	\node at \punkt{1.5}{0.5} {\texttt{1}};
+	\node at \punkt{2.5}{0.5} {\texttt{1}};
+	\node at \punkt{3.5}{0.5} {\texttt{1}};
+	\node at \punkt{4.5}{0.5} {\texttt{0}};
+	\node at \punkt{5.5}{0.5} {\texttt{1}};
+	\node at \punkt{6.5}{0.5} {\texttt{0}};
+	\node at \punkt{7.5}{0.5} {\texttt{0}};
+
+%	\draw[->,color=darkgreen]
+%		\punkt{-0.5}{0.1} -- \punkt{-0.5}{-0.5} -- \punkt{3.1}{-0.5};
+%	\node[color=darkgreen] at \punkt{3.5}{-0.5} {\texttt{1}};
+%	\node[color=darkgreen] at \punkt{4.5}{-0.5} {\texttt{1}};
+%	\node[color=darkgreen] at \punkt{6.5}{-0.5} {\texttt{1}};
+%	\node[color=darkgreen] at \punkt{7.5}{-0.5} {\texttt{1}};
+	\node[color=darkgreen] at \punkt{4}{-0.5} {$\|$};
+
+	\draw \punkt{0}{-2} rectangle \punkt{8}{-1};
+	\foreach \x in {1,...,7}{
+		\draw \punkt{\x}{-2} -- \punkt{\x}{-1};
+	}
+	\node at \punkt{0.5}{-1.5} {\texttt{0}};
+	\node at \punkt{1.5}{-1.5} {\texttt{1}};
+	\node at \punkt{2.5}{-1.5} {\texttt{1}};
+	\node at \punkt{3.5}{-1.5} {\texttt{0}};
+	\node at \punkt{4.5}{-1.5} {\texttt{1}};
+	\node at \punkt{5.5}{-1.5} {\texttt{1}};
+	\node at \punkt{6.5}{-1.5} {\texttt{1}};
+	\node at \punkt{7.5}{-1.5} {\texttt{1}};
+
+%	\pfeile
+\end{scope}
+
+\begin{scope}[xshift=9cm]
+
+\begin{scope}[yshift=0.1cm]
+	\draw[->] \punkt{-11.8}{0.5} -- \punkt{-0.1}{0.5};
+	\draw \punkt{0}{0} rectangle \punkt{8}{1};
+	\foreach \x in {1,...,7}{
+		\draw \punkt{\x}{0} -- \punkt{\x}{1};
+	}
+	\draw \punkt{4}{-0.1} -- \punkt{4}{-3};
+	\node at \punkt{0.5}{0.5} {\texttt{1}};
+	\node at \punkt{1.5}{0.5} {\texttt{0}};
+	\node at \punkt{2.5}{0.5} {\texttt{0}};
+	\node at \punkt{3.5}{0.5} {\texttt{1}};
+	\node at \punkt{4.5}{0.5} {\texttt{0}};
+	\node at \punkt{5.5}{0.5} {\texttt{1}};
+	\node at \punkt{6.5}{0.5} {\texttt{0}};
+	\node at \punkt{7.5}{0.5} {\texttt{1}};
+\end{scope}
+
+\def\summation#1#2#3#4#5#6#7#8{
+	\draw[->] \punkt{4}{2.3} -- \punkt{4}{1};
+
+	\draw[->] \punkt{-11.8}{0.5} -- \punkt{3.5}{0.5};
+
+	\draw \punkt{4}{0.5} circle[radius=0.2];
+	\draw \punkt{4}{0.20} -- \punkt{4}{0.80};
+	\draw \punkt{3.7}{0.5} -- \punkt{4.3}{0.5};
+
+	\draw[->] \punkt{4}{-0.05} -- \punkt{4}{-0.95};
+	\draw \punkt{0}{-2} rectangle \punkt{8}{-1};
+	\foreach \x in {1,...,7}{
+		\draw \punkt{\x}{-2} -- \punkt{\x}{-1};
+	}
+
+	\node at \punkt{0.5}{-1.5} {\texttt{#1}};
+	\node at \punkt{1.5}{-1.5} {\texttt{#2}};
+	\node at \punkt{2.5}{-1.5} {\texttt{#3}};
+	\node at \punkt{3.5}{-1.5} {\texttt{#4}};
+	\node at \punkt{4.5}{-1.5} {\texttt{#5}};
+	\node at \punkt{5.5}{-1.5} {\texttt{#6}};
+	\node at \punkt{6.5}{-1.5} {\texttt{#7}};
+	\node at \punkt{7.5}{-1.5} {\texttt{#8}};
+}
+
+\begin{scope}[yshift=-1.9cm]
+	\summation{1}{0}{0}{1}{0}{1}{0}{1}
+\end{scope}
+
+\begin{scope}[yshift=-3.9cm]
+	\summation{1}{1}{1}{1}{0}{1}{1}{1}
+\end{scope}
+
+\begin{scope}[yshift=-5.9cm]
+	\summation{1}{1}{1}{1}{0}{1}{1}{1}
+\end{scope}
+
+\begin{scope}[yshift=-7.9cm]
+	\summation{0}{1}{1}{0}{0}{1}{0}{0}
+\end{scope}
+
+\begin{scope}[yshift=-9.9cm]
+	\summation{0}{1}{0}{1}{1}{0}{0}{1}
+\end{scope}
+
+\begin{scope}[yshift=-11.9cm]
+	\summation{0}{1}{0}{1}{1}{0}{0}{1}
+\end{scope}
+
+\begin{scope}[yshift=-13.9cm]
+	\summation{0}{0}{1}{1}{0}{1}{1}{0}
+	\node at \punkt{0}{-1.5} [left] {$p(X)\cdot q(X)=\mathstrut$};
+\end{scope}
+
+\end{scope}
+
+\begin{scope}[xshift=5cm]
+
+\begin{scope}[yshift=2cm]
+	\node at \punkt{0}{0.5} [left] {$q(X)=\mathstrut$};
+	\draw \punkt{0}{0} rectangle \punkt{8}{1};
+	\foreach \x in {1,...,7}{
+		\draw \punkt{\x}{0} -- \punkt{\x}{1};
+	}
+	\node at \punkt{0.5}{0.5} {\texttt{1}};
+	\node at \punkt{1.5}{0.5} {\texttt{0}};
+	\node at \punkt{2.5}{0.5} {\texttt{1}};
+	\node at \punkt{3.5}{0.5} {\texttt{1}};
+	\node at \punkt{4.5}{0.5} {\texttt{0}};
+	\node at \punkt{5.5}{0.5} {\texttt{1}};
+	\node at \punkt{6.5}{0.5} {\texttt{0}};
+	\node at \punkt{7.5}{0.5} {\texttt{1}};
+
+	\draw[->] \punkt{7.5}{-0.1} -- ({7.5*\s},{-1.3});
+	\node at ({7.5*\s},{-1.2}) [below] {$\mathstrut\cdot\texttt{1}$};
+
+	\def\y{1.2}
+
+	\draw[->] \punkt{6.5}{-0.1} -- ({6.5*\s},{-1*2-\y-0.1});
+	\node at ({6.5*\s},{-1*2-\y}) [below] {$\mathstrut\cdot\texttt{0}$};
+
+	\draw[->] \punkt{5.5}{-0.1} -- ({5.5*\s},{-2*2-\y-0.1});
+	\node at ({5.5*\s},{-2*2-\y}) [below] {$\mathstrut\cdot\texttt{1}$};
+
+	\draw[->] \punkt{4.5}{-0.1} -- ({4.5*\s},{-3*2-\y-0.1});
+	\node at ({4.5*\s},{-3*2-\y}) [below] {$\mathstrut\cdot\texttt{0}$};
+
+	\draw[->] \punkt{3.5}{-0.1} -- ({3.5*\s},{-4*2-\y-0.1});
+	\node at ({3.5*\s},{-4*2-\y}) [below] {$\mathstrut\cdot\texttt{1}$};
+
+	\draw[->] \punkt{2.5}{-0.1} -- ({2.5*\s},{-5*2-\y-0.1});
+	\node at ({2.5*\s},{-5*2-\y}) [below] {$\mathstrut\cdot\texttt{1}$};
+
+	\draw[->] \punkt{1.5}{-0.1} -- ({1.5*\s},{-6*2-\y-0.1});
+	\node at ({1.5*\s},{-6*2-\y}) [below] {$\mathstrut\cdot\texttt{0}$};
+
+	\draw[->] \punkt{0.5}{-0.1} -- ({0.5*\s},{-7*2-\y-0.1});
+	\node at ({0.5*\s},{-7*2-\y}) [below] {$\mathstrut\cdot\texttt{1}$};
+\end{scope}
+
+\end{scope}
+
+\end{tikzpicture}
+\end{document}
+
diff --git a/buch/chapters/90-crypto/images/schieberegister.pdf b/buch/chapters/90-crypto/images/schieberegister.pdf
new file mode 100644
index 0000000..30b675b
--- /dev/null
+++ b/buch/chapters/90-crypto/images/schieberegister.pdf
diff --git a/buch/chapters/90-crypto/images/schieberegister.tex b/buch/chapters/90-crypto/images/schieberegister.tex
new file mode 100644
index 0000000..7c24e52
--- /dev/null
+++ b/buch/chapters/90-crypto/images/schieberegister.tex
@@ -0,0 +1,120 @@
+%
+% schieberegister.tex -- template for standalon tikz images
+%
+% (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
+%
+\documentclass[tikz]{standalone}
+\usepackage{amsmath}
+\usepackage{times}
+\usepackage{txfonts}
+\usepackage{pgfplots}
+\usepackage{csvsimple}
+\usetikzlibrary{arrows,intersections,math}
+\begin{document}
+\def\skala{1}
+\begin{tikzpicture}[>=latex,thick,scale=\skala]
+
+\definecolor{darkgreen}{rgb}{0,0.6,0}
+
+\def\s{0.8}
+
+\def\punkt#1#2{({#1*\s},{#2*\s})}
+
+\fill[color=blue!20] \punkt{0}{0} rectangle \punkt{8}{1};
+
+\node at \punkt{0.5}{1} [above] {$X^7\mathstrut$};
+\node at \punkt{3}{1}   [above] {$+\mathstrut$};
+\node at \punkt{3.5}{1} [above] {$X^4\mathstrut$};
+\node at \punkt{5}{1}   [above] {$+\mathstrut$};
+\node at \punkt{5.5}{1} [above] {$X^2\mathstrut$};
+\node at \punkt{7}{1}   [above] {$+\mathstrut$};
+\node at \punkt{7.5}{1} [above] {$1\mathstrut$};
+
+\node at \punkt{0}{1} [above left] {\llap{$p(X)=\mathstrut$}};
+
+\node at \punkt{0.5}{0.5} {\texttt{1}};
+\node at \punkt{1.5}{0.5} {\texttt{0}};
+\node at \punkt{2.5}{0.5} {\texttt{0}};
+\node at \punkt{3.5}{0.5} {\texttt{1}};
+\node at \punkt{4.5}{0.5} {\texttt{0}};
+\node at \punkt{5.5}{0.5} {\texttt{1}};
+\node at \punkt{6.5}{0.5} {\texttt{0}};
+\node at \punkt{7.5}{0.5} {\texttt{1}};
+
+\draw \punkt{0}{0} rectangle \punkt{8}{1};
+\foreach \x in {1,...,7}{
+	\draw \punkt{\x}{0} -- \punkt{\x}{1};
+}
+
+\fill[color=blue!20] \punkt{-1}{-3} rectangle \punkt{7}{-2};
+\fill[color=darkgreen!20] \punkt{0}{-4} rectangle \punkt{8}{-3};
+
+\node[color=darkgreen] at \punkt{-1}{-1.5} [left] 
+	{$m(X) = X^8+X^4+X^3+X+1$};
+
+\node[color=darkgreen] at \punkt{-1}{-2.7} [left]
+	{$\underbrace{X^4+X^3+X+1}_{}= X^8=\mathstrut$};
+
+\coordinate (A) at ({-4.15*\s},{-3*\s});
+\coordinate (B) at ({0*\s},{-3.5*\s});
+
+\draw[->,color=red,shorten >= 0.1cm] (A) to[out=-90,in=180] (B);
+\node[color=red] at \punkt{-3.1}{-3.8} [below] {Feedback};
+
+\node at \punkt{-0.5}{-2.5} {\texttt{1}};
+\node at \punkt{0.5}{-2.5} {\texttt{0}};
+\node at \punkt{1.5}{-2.5} {\texttt{0}};
+\node at \punkt{2.5}{-2.5} {\texttt{1}};
+\node at \punkt{3.5}{-2.5} {\texttt{0}};
+\node at \punkt{4.5}{-2.5} {\texttt{1}};
+\node at \punkt{5.5}{-2.5} {\texttt{0}};
+\node at \punkt{6.5}{-2.5} {\texttt{1}};
+\node at \punkt{7.5}{-2.5} {\texttt{0}};
+
+\node[color=darkgreen] at \punkt{0.5}{-3.5} {\texttt{0}};
+\node[color=darkgreen] at \punkt{1.5}{-3.5} {\texttt{0}};
+\node[color=darkgreen] at \punkt{2.5}{-3.5} {\texttt{0}};
+\node[color=darkgreen] at \punkt{3.5}{-3.5} {\texttt{1}};
+\node[color=darkgreen] at \punkt{4.5}{-3.5} {\texttt{1}};
+\node[color=darkgreen] at \punkt{5.5}{-3.5} {\texttt{0}};
+\node[color=darkgreen] at \punkt{6.5}{-3.5} {\texttt{1}};
+\node[color=darkgreen] at \punkt{7.5}{-3.5} {\texttt{1}};
+
+\draw \punkt{0}{-4} rectangle \punkt{8}{-2};
+\draw \punkt{0}{-3} -- \punkt{8}{-3};
+\foreach \x in {1,...,7}{
+	\draw \punkt{\x}{-4} -- \punkt{\x}{-2};
+}
+
+\foreach \x in {0.5,1.5,...,7.5}{
+	\draw[->,color=blue] \punkt{\x}{-0.1} -- \punkt{(\x-1)}{-1.9};
+}
+
+\draw \punkt{0}{-6} rectangle \punkt{8}{-5};
+\foreach \x in {1,...,7}{
+	\draw \punkt{\x}{-6} -- \punkt{\x}{-5};
+}
+
+\node at \punkt{0.5}{-5.5} {\texttt{0}};
+\node at \punkt{1.5}{-5.5} {\texttt{0}};
+\node at \punkt{2.5}{-5.5} {\texttt{1}};
+\node at \punkt{3.5}{-5.5} {\texttt{1}};
+\node at \punkt{4.5}{-5.5} {\texttt{0}};
+\node at \punkt{5.5}{-5.5} {\texttt{0}};
+\node at \punkt{6.5}{-5.5} {\texttt{0}};
+\node at \punkt{7.5}{-5.5} {\texttt{1}};
+
+\node at \punkt{4}{-4.5} {$\|$};
+
+\node at \punkt{10.3}{-3} [left]
+	{$\left.\begin{matrix}\\ \\ \\ \end{matrix}\right\} + = \text{XOR}$};
+
+\draw[<-,shorten >= 0.1cm, shorten <= 0.1cm]
+	\punkt{8.0}{-2.0} arc (-30:30:{2.0*\s});
+\node at \punkt{8.3}{-1} [right] {$\mathstrut \cdot X$};
+
+\node at \punkt{8.1}{-5.5} [right] {$=X\cdot p(X)\mathstrut$};
+
+\end{tikzpicture}
+\end{document}
+