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-rw-r--r--buch/chapters/90-crypto/images/schieberegister.tex240
1 files changed, 120 insertions, 120 deletions
diff --git a/buch/chapters/90-crypto/images/schieberegister.tex b/buch/chapters/90-crypto/images/schieberegister.tex
index 7c24e52..49302ac 100644
--- a/buch/chapters/90-crypto/images/schieberegister.tex
+++ b/buch/chapters/90-crypto/images/schieberegister.tex
@@ -1,120 +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}
-
+%
+% 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}
+